/* From Plato to Aristotle: project page styles.
   Layout rhythm inspired by the Schnaus et al. project page; palette, type and components are our own.
   Colors are tokens on :root (light), redefined for dark under prefers-color-scheme and [data-theme]. */

:root {
  --font-sans: "Inter", "Helvetica Neue", Arial, system-ui, sans-serif;
  --font-serif: "Newsreader", "Iowan Old Style", "Palatino Linotype", Georgia, serif;
  --font-mono: ui-monospace, "SF Mono", Menlo, Consolas, monospace;

  --bg: #fbfaf7;
  --bg-2: #f2f0eb;
  --surface: #ffffff;
  --raised: #ffffff;
  --fg: #11151d;
  --fg-body: #2a2f3a;
  --fg-2: #596070;
  --fg-3: #646a76;
  --line: #e5e2db;
  --line-strong: #c8c4ba;
  --accent: #2c52cc;
  --accent-ink: #1d3a96;
  --accent-soft: rgba(44, 82, 204, 0.07);
  --accent-line: rgba(44, 82, 204, 0.30);
  --take-bg: #2c52cc;
  --take-fg: #ffffff;
  --btn-bg: #11151d;
  --btn-fg: #ffffff;
  --topbar-bg: rgba(251, 250, 247, 0.86);

  /* study colors, read from Figure 1 */
  --prh: #2654a6;
  --arh: #d66e14;
  --bpc: #8048a8;
  --sog: #148278;
  /* study colors for small text (AA on every light surface) */
  --prh-ink: #2654a6;
  --arh-ink: #a8540a;
  --bpc-ink: #8048a8;
  --sog-ink: #0e6b63;
  /* measure colors, as in the Section 5 figures */
  --c-mknn: #1f78b4;
  --c-mst: #0f9580;
  --c-order: #5b6372;
  --c-cka: #cc3d1f;

  --edge: #9aa0ab;
  --node-fill: #ffffff;
  --node-line: #c3c7cf;
  --fig-bg: #ffffff;

  --shadow-1: 0 1px 2px rgba(17, 21, 29, 0.04), 0 6px 20px rgba(17, 21, 29, 0.05);
  --shadow-2: 0 2px 6px rgba(17, 21, 29, 0.04), 0 22px 60px rgba(17, 21, 29, 0.10);

  --gutter: clamp(16px, 4vw, 48px);
  --wrap: 1180px;
  --radius: 14px;
  --ease: cubic-bezier(.2, .8, .2, 1);
  --topbar-h: 56px;
  color-scheme: light;
}

@media (prefers-color-scheme: dark) {
  :root:not([data-theme="light"]) {
    --bg: #0b0f15;
    --bg-2: #121822;
    --surface: #131a24;
    --raised: #18202c;
    --fg: #f1f3f6;
    --fg-body: #d2d7df;
    --fg-2: #a0a9b6;
    --fg-3: #8a94a3;
    --line: rgba(255, 255, 255, 0.09);
    --line-strong: rgba(255, 255, 255, 0.22);
    --accent: #8aa8ff;
    --accent-ink: #b8c9ff;
    --accent-soft: rgba(138, 168, 255, 0.09);
    --accent-line: rgba(138, 168, 255, 0.35);
    --take-bg: #3558cf;
    --take-fg: #ffffff;
    --btn-bg: #f1f3f6;
    --btn-fg: #0b0f15;
    --topbar-bg: rgba(11, 15, 21, 0.82);
    --prh: #7ea3f0;
    --arh: #f39a48;
    --bpc: #bd94e8;
    --sog: #3cc3b0;
    --prh-ink: #7ea3f0;
    --arh-ink: #f39a48;
    --bpc-ink: #bd94e8;
    --sog-ink: #3cc3b0;
    --c-mknn: #5eb0ec;
    --c-mst: #3cc3b0;
    --c-order: #a9b2c0;
    --c-cka: #ff7c5e;
    --edge: #5f6977;
    --node-fill: #18202c;
    --node-line: #3a4452;
    --fig-bg: #ffffff;
    --shadow-1: 0 1px 2px rgba(0, 0, 0, 0.3), 0 8px 24px rgba(0, 0, 0, 0.25);
    --shadow-2: 0 2px 8px rgba(0, 0, 0, 0.3), 0 26px 70px rgba(0, 0, 0, 0.45);
    color-scheme: dark;
  }
}
:root[data-theme="dark"] {
  --bg: #0b0f15;
  --bg-2: #121822;
  --surface: #131a24;
  --raised: #18202c;
  --fg: #f1f3f6;
  --fg-body: #d2d7df;
  --fg-2: #a0a9b6;
  --fg-3: #8a94a3;
  --line: rgba(255, 255, 255, 0.09);
  --line-strong: rgba(255, 255, 255, 0.22);
  --accent: #8aa8ff;
  --accent-ink: #b8c9ff;
  --accent-soft: rgba(138, 168, 255, 0.09);
  --accent-line: rgba(138, 168, 255, 0.35);
  --take-bg: #3558cf;
  --take-fg: #ffffff;
  --btn-bg: #f1f3f6;
  --btn-fg: #0b0f15;
  --topbar-bg: rgba(11, 15, 21, 0.82);
  --prh: #7ea3f0;
  --arh: #f39a48;
  --bpc: #bd94e8;
  --sog: #3cc3b0;
  --prh-ink: #7ea3f0;
  --arh-ink: #f39a48;
  --bpc-ink: #bd94e8;
  --sog-ink: #3cc3b0;
  --c-mknn: #5eb0ec;
  --c-mst: #3cc3b0;
  --c-order: #a9b2c0;
  --c-cka: #ff7c5e;
  --edge: #5f6977;
  --node-fill: #18202c;
  --node-line: #3a4452;
  --fig-bg: #ffffff;
  --shadow-1: 0 1px 2px rgba(0, 0, 0, 0.3), 0 8px 24px rgba(0, 0, 0, 0.25);
  --shadow-2: 0 2px 8px rgba(0, 0, 0, 0.3), 0 26px 70px rgba(0, 0, 0, 0.45);
  color-scheme: dark;
}

/* ---------- base ---------- */
*, *::before, *::after { box-sizing: border-box; }
html { -webkit-text-size-adjust: 100%; text-size-adjust: 100%; scroll-padding-top: calc(var(--topbar-h) + 20px); }
@media (max-width: 1080px) { html { scroll-padding-top: 104px; } }
@media (prefers-reduced-motion: no-preference) { html { scroll-behavior: smooth; } }
body {
  margin: 0;
  background: var(--bg);
  color: var(--fg-body);
  font: 400 16.5px/1.65 var(--font-sans);
  font-feature-settings: "cv11", "ss01";
  -webkit-font-smoothing: antialiased;
  -moz-osx-font-smoothing: grayscale;
  overflow-x: hidden;
  transition: background-color .3s ease, color .3s ease;
}
img, svg { max-width: 100%; }
img { height: auto; display: block; }
a { color: inherit; }
b, strong { font-weight: 600; color: var(--fg); }
p { margin: 0 0 1em; }
h1, h2, h3 { margin: 0; color: var(--fg); }
sup { font-size: .62em; line-height: 0; }
:focus-visible { outline: 2.5px solid var(--accent); outline-offset: 3px; border-radius: 6px; }
::selection { background: var(--accent-soft); color: var(--fg); }

.skip {
  position: absolute; left: 12px; top: -60px; z-index: 100;
  background: var(--btn-bg); color: var(--btn-fg); padding: 10px 14px; border-radius: 9px;
  text-decoration: none; font-weight: 600;
}
.skip:focus { top: 12px; }

.wrap { width: 100%; max-width: calc(var(--wrap) + 2 * var(--gutter)); margin: 0 auto; padding: 0 var(--gutter); }
.prose { max-width: 46rem; }
.prose p { color: var(--fg-body); }
.lead p { font-size: 18.5px; line-height: 1.62; }
.math, .katex { font-size: 1.04em; }

html:not(.js) .needs-js { display: none !important; }

/* ---------- top bar ---------- */
.topbar {
  position: fixed; inset: 0 0 auto 0; z-index: 50;
  background: var(--topbar-bg);
  -webkit-backdrop-filter: saturate(150%) blur(14px);
  backdrop-filter: saturate(150%) blur(14px);
  border-bottom: 1px solid var(--line);
  transition: background-color .35s ease, border-color .35s ease;
}
.topbar-inner {
  display: flex; align-items: center; gap: 18px;
  height: var(--topbar-h);
  max-width: calc(1360px + 2 * var(--gutter)); margin: 0 auto; padding: 0 var(--gutter);
}
.brand {
  font: 600 17px/1 var(--font-serif); letter-spacing: -0.005em;
  color: var(--fg); text-decoration: none; white-space: nowrap;
  transition: opacity .35s ease;
}
.chapters { display: flex; gap: 2px; margin: 0 auto; transition: opacity .35s ease; }
.chapters a {
  font: 500 14px/1 var(--font-sans); color: var(--fg-2); text-decoration: none;
  padding: 9px 11px; border-radius: 8px; white-space: nowrap; position: relative;
  transition: color .2s ease, background-color .2s ease;
}
.chapters a:hover { color: var(--fg); background: var(--bg-2); }
.chapters a[aria-current="true"] { color: var(--fg); }
.chapters a[aria-current="true"]::after {
  content: ""; position: absolute; left: 11px; right: 11px; bottom: 2px; height: 2px;
  border-radius: 2px; background: var(--accent);
}
.top-actions { display: flex; align-items: center; gap: 4px; margin-left: auto; }
.chapters + .top-actions { margin-left: 0; }
.toplink {
  font: 600 14px/1 var(--font-sans); color: var(--fg-2); text-decoration: none;
  padding: 9px 10px; border-radius: 8px; display: inline-flex; align-items: center; gap: 6px;
  background: none; border: 0; cursor: pointer;
}
.toplink:hover { color: var(--fg); }
.toplink.is-muted { color: var(--fg-3); cursor: default; }
.toplink.is-muted small { font: 600 10px/1 var(--font-sans); letter-spacing: .05em; text-transform: uppercase; }
.theme-btn {
  width: 38px; height: 38px; display: inline-grid; place-items: center;
  border: 0; background: none; color: var(--fg); border-radius: 10px; cursor: pointer;
}
.theme-btn:hover { background: var(--bg-2); }
.theme-btn svg { width: 19px; height: 19px; }

/* at the very top: transparent bar without the brand; inside the hero: no chapter nav */
.js .topbar.at-top { background: transparent; border-color: transparent; -webkit-backdrop-filter: none; backdrop-filter: none; }
.js .topbar.at-top .brand, .js .topbar.in-hero .chapters { opacity: 0; visibility: hidden; transition: opacity .25s ease, visibility 0s linear .25s; }
.topbar .brand, .topbar .chapters { visibility: visible; }

@media (max-width: 1080px) {
  .topbar-inner { flex-wrap: wrap; height: auto; row-gap: 0; padding-top: 0; }
  .brand { line-height: var(--topbar-h); }
  .chapters {
    order: 3; width: calc(100% + 2 * var(--gutter)); margin: 0 calc(-1 * var(--gutter));
    padding: 0 calc(var(--gutter) - 8px) 6px; overflow-x: auto; scrollbar-width: none;
    -webkit-mask-image: linear-gradient(90deg, transparent 0, #000 14px, #000 calc(100% - 22px), transparent 100%);
            mask-image: linear-gradient(90deg, transparent 0, #000 14px, #000 calc(100% - 22px), transparent 100%);
  }
  .chapters::-webkit-scrollbar { display: none; }
  .chapters a { padding: 8px 10px; font-size: 13.5px; }
  .chapters a[aria-current="true"]::after { left: 10px; right: 10px; }
  .top-actions { margin-left: auto; }
  .chapters + .top-actions { margin-left: auto; }
  .js .topbar.in-hero .chapters { display: none; }
}
@media (max-width: 600px) {
  .toplink.is-muted { display: none; }
}
@media (max-width: 420px) {
  :root { --topbar-h: 50px; }
  .brand { font-size: 15.5px; }
  .toplink { padding: 8px 7px; font-size: 13.5px; }
  .toplink.is-muted small { display: none; }
}

/* ---------- buttons ---------- */
.btn {
  display: inline-flex; align-items: center; gap: 8px;
  min-height: 44px; padding: 0 17px; border-radius: 10px;
  border: 1.5px solid var(--fg); background: transparent; color: var(--fg);
  font: 600 15px/1 var(--font-sans); text-decoration: none; cursor: pointer;
  transition: background-color .2s ease, color .2s ease, border-color .2s ease;
}
.btn svg { width: 17px; height: 17px; flex: none; }
.btn:hover { background: var(--fg); color: var(--bg); }
.btn.is-muted { color: var(--fg-3); border-color: var(--line-strong); cursor: default; }
.btn.is-muted:hover { background: transparent; color: var(--fg-3); }
.btn .soon {
  white-space: nowrap; line-height: 1;
  font: 600 10px/1 var(--font-sans); letter-spacing: .06em; text-transform: uppercase;
  padding: 4px 6px; border-radius: 5px; background: var(--bg-2); color: var(--fg-3);
}
.btn-row { display: flex; flex-wrap: wrap; gap: 10px; }

.enter, .continue {
  display: inline-flex; align-items: center; gap: 14px;
  color: var(--fg); text-decoration: none; font: 600 18px/1.2 var(--font-sans);
  background: none; border: 0; padding: 0; cursor: pointer;
}
.enter .sq, .continue .sq {
  width: 48px; height: 48px; border-radius: 11px; flex: none;
  display: grid; place-items: center; background: var(--btn-bg); color: var(--btn-fg);
  transition: transform .35s var(--ease);
}
.enter .sq svg, .continue .sq svg { width: 20px; height: 20px; }
.enter:hover .sq, .continue:hover .sq { transform: translateX(4px); }
.continue { margin-top: 56px; font-size: 16.5px; }
.continue .sq { width: 44px; height: 44px; }
.continue .lbl small { display: block; font: 500 12px/1.4 var(--font-sans); color: var(--fg-3); text-transform: uppercase; letter-spacing: .06em; margin-bottom: 2px; }

.tool {
  display: inline-flex; align-items: center; gap: 7px;
  font: 600 14px/1 var(--font-sans); color: var(--fg-2);
  background: none; border: 1.5px solid var(--line-strong); border-radius: 9px;
  padding: 8px 12px; cursor: pointer;
}
.tool:hover { color: var(--fg); border-color: var(--fg); }
.tool svg { width: 15px; height: 15px; }

/* ---------- hero ---------- */
.hero {
  position: relative; min-height: 100vh; min-height: 100svh;
  display: flex; align-items: center;
  padding: calc(var(--topbar-h) + 20px) 0 28px;
  overflow: hidden;
}
.hero-grid {
  display: grid; grid-template-columns: minmax(0, 1fr) minmax(0, 1.05fr);
  align-items: center; gap: clamp(28px, 4.5vw, 72px);
  width: 100%; max-width: calc(1360px + 2 * var(--gutter)); margin: 0 auto; padding: 0 var(--gutter);
}
.hero-title {
  font: 600 clamp(44px, 6.1vw, 90px)/0.98 var(--font-serif);
  font-optical-sizing: auto;
  letter-spacing: -0.022em; color: var(--fg);
}
.hero-title span { display: block; }
.hero-title em { font-style: italic; font-weight: 500; color: var(--fg-2); }
.hero-sub {
  margin: 22px 0 26px; max-width: 30em;
  font: 400 clamp(18px, 1.65vw, 23px)/1.35 var(--font-sans); color: var(--fg-body); letter-spacing: -0.005em;
}
.authors { list-style: none; margin: 0 0 6px; padding: 0; display: flex; flex-wrap: wrap; gap: 2px 18px; font: 500 16.5px/1.6 var(--font-sans); color: var(--fg); }
.authors li { white-space: nowrap; }
.authors sup { color: var(--fg-2); margin-left: 1px; }
.affils { margin: 0 0 24px; display: flex; flex-wrap: wrap; gap: 2px 18px; font: 400 14px/1.5 var(--font-sans); color: var(--fg-2); }
.affils span { white-space: nowrap; }
.affils sup { margin-right: 2px; }
.teaser {
  margin: 0 0 26px; max-width: 34em; padding-left: 16px; border-left: 3px solid var(--accent);
  font: 400 17px/1.55 var(--font-sans); color: var(--fg-body);
}
.hero .enter { margin-top: 30px; }

.hero-visual { position: relative; }
.hero-visual::before {
  content: ""; position: absolute; inset: -12% -18% -14% -10%; z-index: -1; pointer-events: none;
  background:
    radial-gradient(38% 34% at 30% 28%, color-mix(in srgb, var(--prh) 30%, transparent), transparent 70%),
    radial-gradient(34% 30% at 78% 40%, color-mix(in srgb, var(--sog) 26%, transparent), transparent 70%),
    radial-gradient(30% 28% at 40% 82%, color-mix(in srgb, var(--bpc) 22%, transparent), transparent 70%),
    radial-gradient(26% 24% at 82% 84%, color-mix(in srgb, var(--arh) 20%, transparent), transparent 70%);
  filter: blur(18px); opacity: .55;
}

/* the lattice plate */
.plate {
  margin: 0; background: var(--surface); border: 1px solid var(--line); border-radius: 20px;
  box-shadow: var(--shadow-2); padding: 18px 18px 16px;
}
#lattice-plate { scroll-margin-top: -8px; }
@media (max-width: 1080px) { #lattice-plate { scroll-margin-top: calc(var(--topbar-h) - 92px); } }
@media (min-width: 901px) {
  .plate { background: transparent; border: 0; box-shadow: none; padding: 0; }
  .plate .spec { background: var(--surface); }
}
.plate-head { display: flex; flex-wrap: wrap; align-items: center; justify-content: space-between; gap: 10px 16px; margin-bottom: 4px; }
.plate-hint { margin: 0; font: 500 13.5px/1.4 var(--font-sans); color: var(--fg-2); flex: 1 1 100%; }
.chips { display: flex; flex-wrap: wrap; gap: 6px; }
.chip {
  --c: var(--fg);
  display: inline-flex; align-items: center; gap: 7px;
  font: 600 13.5px/1 var(--font-sans); color: var(--fg-2);
  padding: 8px 12px; border-radius: 999px; cursor: pointer;
  border: 1.5px solid var(--line); background: var(--surface);
  transition: color .2s ease, border-color .2s ease, background-color .2s ease;
}
.chip i { width: 9px; height: 9px; border-radius: 50%; background: var(--c); display: block; }
.chip:hover { color: var(--fg); border-color: var(--line-strong); }
.chip[aria-pressed="true"] { color: var(--fg); border-color: var(--c); background: color-mix(in srgb, var(--c) 9%, var(--surface)); }
.chip[data-study="All"] { --c: var(--fg-2); }
.chip[data-study="All"] i { background: conic-gradient(var(--prh) 0 25%, var(--arh) 0 50%, var(--bpc) 0 75%, var(--sog) 0); }
.chip[data-study="PRH"] { --c: var(--prh); }
.chip[data-study="ARH"] { --c: var(--arh); }
.chip[data-study="BPC"] { --c: var(--bpc); }
.chip[data-study="SOG"] { --c: var(--sog); }
.legend { display: flex; gap: 14px; font: 500 12.5px/1 var(--font-sans); color: var(--fg-2); }
.legend span { display: inline-flex; align-items: center; gap: 6px; }
.legend .ring { width: 11px; height: 11px; border-radius: 50%; border: 2px solid var(--fg-2); }
.legend .dot { width: 10px; height: 10px; border-radius: 50%; background: var(--fg-2); }

.lattice-box { position: relative; margin-top: 4px; }
.lattice-svg { display: block; width: 100%; height: auto; max-height: min(calc(100vh - 372px), 600px); margin: 0 auto; overflow: visible; }
.lattice-fallback { display: block; width: 100%; border-radius: 10px; background: var(--fig-bg); padding: 8px; }

.spec { margin: 8px 0 0; border: 1px solid var(--line); border-radius: 11px; overflow: hidden; height: 60px; }
.spec-grid { display: grid; grid-template-columns: repeat(4, auto); margin: 0; height: 100%; }
.spec-grid > div { padding: 9px 12px; border-left: 1px solid var(--line); white-space: nowrap; }
.spec-grid > div:first-child { border-left: 0; }
.spec dt { font: 600 10.5px/1.2 var(--font-sans); color: var(--fg-3); text-transform: uppercase; letter-spacing: .06em; margin-bottom: 3px; }
.spec dt.var-key { text-transform: none; letter-spacing: 0; font: italic 500 14px/1 var(--font-serif); color: var(--fg-2); }
.spec dd { margin: 0; font: 600 13.5px/1.3 var(--font-sans); color: var(--fg); font-variant-numeric: tabular-nums; }
.spec dd i, .lat .tag .var { font-family: var(--font-serif); font-style: italic; font-weight: 500; }
.spec dd i { font-size: 1.08em; }
.spec.is-empty dd { color: var(--fg-3); font-weight: 500; }
/* caption slot: the study caption, or the definition of the box under the pointer or focus */
.cap-slot { display: grid; margin: 12px 2px 0; min-height: 6.3em; font: 400 14.5px/1.55 var(--font-sans); color: var(--fg-body); }
.cap-slot > span { grid-area: 1 / 1; display: block; }
.plate-cap b { color: var(--fg); }
.plate-def { visibility: hidden; border-left: 3px solid var(--accent); padding-left: 12px; align-self: start; }
.plate-def b { color: var(--fg); margin-right: 6px; }
.plate-def i { font-family: var(--font-serif); }
.plate-def .def-hint { display: block; margin-top: 4px; font-size: 13px; color: var(--fg-2); }
.cap-slot.def .plate-cap { visibility: hidden; }
.cap-slot.def .plate-def { visibility: visible; }

@media (min-width: 901px) { .lattice-svg { min-height: 380px; } }
.result .fig-card .fig-img { max-width: 1000px; margin: 0 auto; }

/* lattice svg parts */
.lat text { font-family: var(--font-sans); }
.lat .n-rect { fill: var(--node-fill); stroke: var(--node-line); stroke-width: 1.4; transition: stroke .25s ease, fill .25s ease, opacity .25s ease; }
.lat .n-rect.dashed { stroke-dasharray: 5 4; }
.lat .n-label { font-size: 13.5px; font-weight: 600; fill: var(--fg); }
.lat .n-sym { font-family: var(--font-serif); font-size: 15px; fill: var(--fg-2); font-style: italic; }
.lat .n-sym .sub { font-style: normal; font-size: 10.5px; font-family: var(--font-sans); }
.lat .n-sym .sub2 { font-size: 8.5px; }
.lat .node { cursor: default; outline: none; transition: opacity .25s ease; }
.lat .node:focus-visible .n-rect { stroke: var(--accent); stroke-width: 2.4; }
.lat .edge line, .lat .edge path { stroke: var(--edge); stroke-width: 1.5; fill: none; transition: stroke .25s ease, opacity .25s ease; }
.lat .edge polygon { fill: var(--edge); transition: fill .25s ease, opacity .25s ease; }
.lat .edge.dashed line { stroke-dasharray: 4 4; }
.lat .incomp path { stroke: var(--fg-3); stroke-width: 1.3; stroke-dasharray: 3 4; fill: none; }
.lat .incomp text { font-size: 11px; font-style: italic; fill: var(--fg-3); }
.lat .axis line { stroke: var(--fg-3); stroke-width: 1.2; }
.lat .axis polygon { fill: var(--fg-3); }
.lat .axis text { font-size: 10.5px; font-weight: 600; letter-spacing: .1em; fill: var(--fg-3); }
.lat .gap path { stroke: var(--prh); stroke-width: 1.6; stroke-dasharray: 6 5; fill: none; }
.lat .gap polygon { fill: var(--prh); }
.lat .gap text { font-size: 11.5px; font-weight: 600; fill: var(--prh); }
.lat .dot { stroke: var(--node-fill); stroke-width: 2; transition: opacity .35s ease, transform .45s var(--ease); transform-box: fill-box; transform-origin: center; }
.lat .ring { fill: var(--node-fill); stroke-width: 2.6; transition: opacity .35s ease; }
.lat .tag rect { fill: var(--surface); stroke-width: 1.2; }
.lat .tag text { font-size: 11px; font-weight: 600; }
.lat .tag { transition: opacity .3s ease; }
.lat .glow-rect { fill: none; stroke-width: 9; opacity: 0; transition: opacity .35s ease; }
.lat [data-study="PRH"] { --s: var(--prh); }
.lat [data-study="ARH"] { --s: var(--arh); --s-ink: var(--arh-ink); }
.lat [data-study="BPC"] { --s: var(--bpc); }
.lat [data-study="SOG"] { --s: var(--sog); --s-ink: var(--sog-ink); }
.lat .dot { fill: var(--s); }
.lat .ring { stroke: var(--s); }
.lat .tag rect { stroke: var(--s); }
.lat .tag text { fill: var(--s-ink, var(--s)); }
.lat .glow-rect { stroke: color-mix(in srgb, var(--sog) 28%, transparent); }
.lat .node.active .n-rect { stroke: var(--s); stroke-width: 2.2; fill: color-mix(in srgb, var(--s) 7%, var(--node-fill)); }
.lat.state-SOG .glow-rect { opacity: 1; }
/* hover: determined set */
.lat.hovering .node { opacity: .32; }
.lat.hovering .edge { opacity: .18; }
.lat.hovering .node.hi, .lat.hovering .node.hi-src { opacity: 1; }
.lat.hovering .node.hi .n-rect { stroke: var(--accent); stroke-width: 1.8; }
.lat.hovering .node.hi-src .n-rect { stroke: var(--accent); stroke-width: 2.6; fill: color-mix(in srgb, var(--accent) 9%, var(--node-fill)); }
.lat.hovering .edge.hi { opacity: 1; }
.lat.hovering .edge.hi line { stroke: var(--accent); stroke-width: 2; }
.lat.hovering .edge.hi polygon { fill: var(--accent); }

/* ---------- sections ---------- */
.section { padding: clamp(80px, 11vw, 150px) 0 clamp(64px, 8vw, 110px); border-top: 1px solid var(--line); scroll-margin-top: calc(-1 * var(--topbar-h) + 20px); }
.section:nth-of-type(even) { background: color-mix(in srgb, var(--bg-2) 45%, var(--bg)); }
.sec-head { margin-bottom: clamp(32px, 4vw, 52px); max-width: 60rem; }
.sec-title {
  display: flex; align-items: center; gap: 12px;
  font: 600 13px/1.3 var(--font-sans); letter-spacing: .1em; text-transform: uppercase; color: var(--accent);
  margin-bottom: 16px;
}
.sec-title .num { font-variant-numeric: tabular-nums; color: var(--fg-3); letter-spacing: .04em; }
.sec-title .num::after { content: ""; display: inline-block; width: 28px; height: 1.5px; background: var(--line-strong); vertical-align: middle; margin-left: 12px; }
.sec-claim {
  margin: 0; font: 600 clamp(29px, 3.5vw, 46px)/1.1 var(--font-serif);
  font-optical-sizing: auto; letter-spacing: -0.015em; color: var(--fg); text-wrap: balance;
}
h3 { font: 600 clamp(21px, 2vw, 25px)/1.22 var(--font-serif); letter-spacing: -0.008em; text-wrap: balance; }
.h3-sans { font: 600 13px/1.3 var(--font-sans); letter-spacing: .08em; text-transform: uppercase; color: var(--fg-2); }

.key { color: var(--fg); font-weight: 600; }

/* terms that open a definition */
.term-link {
  color: var(--fg); font-weight: 600; text-decoration: underline dotted; text-decoration-color: var(--fg-3);
  text-decoration-thickness: 1.5px; text-underline-offset: 3px; cursor: help;
}
.term-link:hover { text-decoration-color: var(--accent); color: var(--accent); }

/* take-away boxes (our Insight boxes) */
.take {
  position: relative; margin: 28px 0 0; padding: 18px 22px 18px 58px;
  background: var(--take-bg); color: var(--take-fg); border-radius: 12px;
  font: 600 17px/1.5 var(--font-sans);
  box-shadow: 0 10px 28px color-mix(in srgb, var(--take-bg) 26%, transparent);
}
.take::before {
  content: ""; position: absolute; left: 20px; top: 19px; width: 24px; height: 24px; background: currentColor;
  -webkit-mask: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='1.9' stroke-linecap='round' stroke-linejoin='round'%3E%3Cpath d='M9 18h6M10 21.5h4M12 2.5a6.5 6.5 0 0 0-4 11.6c.7.6 1 1.3 1 2.2V17h6v-.7c0-.9.4-1.6 1-2.2A6.5 6.5 0 0 0 12 2.5z'/%3E%3C/svg%3E") center / contain no-repeat;
          mask: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='1.9' stroke-linecap='round' stroke-linejoin='round'%3E%3Cpath d='M9 18h6M10 21.5h4M12 2.5a6.5 6.5 0 0 0-4 11.6c.7.6 1 1.3 1 2.2V17h6v-.7c0-.9.4-1.6 1-2.2A6.5 6.5 0 0 0 12 2.5z'/%3E%3C/svg%3E") center / contain no-repeat;
}
.take .take-label { display: block; font: 600 11px/1.3 var(--font-sans); letter-spacing: .1em; text-transform: uppercase; opacity: .78; margin-bottom: 4px; }
.take b, .take strong { color: inherit; }
.take .term-link { color: inherit; text-decoration-color: currentColor; }
.take.insight { font-weight: 500; font-size: 16px; }

/* the hypothesis box (the paper's house box) */
.lrh {
  margin: 44px 0 0; padding: clamp(22px, 3vw, 34px) clamp(22px, 3.4vw, 40px);
  border: 1.5px solid var(--accent-line); border-radius: 16px; background: var(--accent-soft);
  max-width: 58rem;
}
.lrh-label { display: flex; align-items: center; gap: 10px; font: 600 12.5px/1.3 var(--font-sans); letter-spacing: .1em; text-transform: uppercase; color: var(--accent); margin: 0 0 12px; }
.lrh-text { margin: 0; font: italic 400 clamp(19px, 1.9vw, 23px)/1.5 var(--font-serif); color: var(--fg); }

/* notes and small print */
.note { font-size: 14.5px; line-height: 1.6; color: var(--fg-2); border-left: 3px solid var(--line-strong); padding-left: 14px; }

/* ---------- overview ---------- */
.bend-grid { display: grid; grid-template-columns: minmax(0, 0.78fr) minmax(0, 1.6fr); gap: clamp(28px, 4vw, 56px); align-items: start; margin-top: 64px; }
.bend-text h3 { margin-bottom: 14px; }
.bend-text p { font-size: 16.5px; }
.bend-card {
  margin: 0; background: var(--surface); border: 1px solid var(--line); border-radius: 18px; box-shadow: var(--shadow-1);
  padding: 18px 20px 16px;
}
.bend-controls { display: flex; flex-wrap: wrap; align-items: center; gap: 10px 14px; margin-bottom: 12px; }
.bend-controls label { font: 600 14px/1 var(--font-sans); color: var(--fg); white-space: nowrap; }
.bend-controls output { font: 600 14px/1 var(--font-sans); font-variant-numeric: tabular-nums; color: var(--fg); min-width: 4.5em; }
.bend-controls .ends { font: 500 12px/1 var(--font-sans); color: var(--fg-3); white-space: nowrap; }
.bend-controls .slider-wrap { flex: 1 1 200px; display: flex; align-items: center; gap: 10px; }
input[type="range"] {
  -webkit-appearance: none; appearance: none; width: 100%; height: 22px; background: transparent; cursor: pointer; margin: 0;
}
input[type="range"]::-webkit-slider-runnable-track { height: 4px; border-radius: 4px; background: var(--line-strong); }
input[type="range"]::-moz-range-track { height: 4px; border-radius: 4px; background: var(--line-strong); }
input[type="range"]::-webkit-slider-thumb {
  -webkit-appearance: none; width: 20px; height: 20px; border-radius: 50%; margin-top: -8px;
  background: var(--btn-bg); border: 3px solid var(--surface); box-shadow: 0 0 0 1px var(--line-strong);
}
input[type="range"]::-moz-range-thumb { width: 16px; height: 16px; border-radius: 50%; background: var(--btn-bg); border: 3px solid var(--surface); }
.bend-panels { display: grid; grid-template-columns: 1fr 1fr 1.25fr; gap: 16px; align-items: stretch; }
.bend-panel { margin: 0; min-width: 0; }
.bend-panel .p-title .katex { text-transform: none; font-size: 1.15em; }
.bend-panel .p-title { font: 600 12px/1.3 var(--font-sans); letter-spacing: .06em; text-transform: uppercase; color: var(--fg-3); margin: 0 0 6px; }
.bend-panel svg { display: block; width: 100%; height: auto; background: var(--bg); border-radius: 10px; border: 1px solid var(--line); }
.bend-panel svg text { font-family: var(--font-sans); }
.bp-pt { fill: var(--fg-3); }
.bp-pt.sel { fill: var(--accent); }
.bp-pt.nb { fill: var(--fg); }
.bp-mst { stroke: var(--c-mst); stroke-width: 1.3; opacity: .85; }
.bp-nn { stroke: var(--accent); stroke-width: 1.8; }
.bp-ring { fill: none; stroke: var(--accent); stroke-width: 1.6; }
.bp-hit { fill: transparent; cursor: pointer; }
.bc-axis { stroke: var(--line-strong); stroke-width: 1; }
.bc-tick { font-size: 11.5px; fill: var(--fg-3); }
.bc-lab { font-size: 12px; fill: var(--fg-2); font-weight: 500; }
.bc-id { stroke: var(--fg-3); stroke-dasharray: 3 4; stroke-width: 1.2; fill: none; }
.bc-curve { stroke: var(--c-cka); stroke-width: 2.4; fill: none; }
.bc-pair { fill: var(--c-cka); opacity: .28; }
.bend-legend { display: flex; flex-wrap: wrap; gap: 4px 14px; margin-top: 8px; font: 500 12px/1.3 var(--font-sans); color: var(--fg-2); }
.bend-legend span { display: inline-flex; align-items: center; gap: 6px; }
.bend-legend i { display: inline-block; width: 16px; height: 2px; border-radius: 2px; }
.bars { display: flex; flex-direction: column; justify-content: center; gap: 13px; height: 100%; padding: 10px 2px 0; }
.bar-row { display: grid; grid-template-columns: 1fr auto; gap: 4px 10px; align-items: end; }
.bar-row .b-lab { font: 500 13px/1.3 var(--font-sans); color: var(--fg-body); }
.bar-row .b-val { font: 700 19px/1 var(--font-sans); font-variant-numeric: tabular-nums; color: var(--fg); }
.bar-row .b-track { grid-column: 1 / -1; height: 10px; border-radius: 6px; background: color-mix(in srgb, var(--fg) 10%, transparent); position: relative; overflow: hidden; }
.bar-row .b-fill { position: absolute; inset: 0 auto 0 0; width: 100%; border-radius: 6px; background: var(--bc, var(--fg-2)); transform-origin: left; }
.bar-row[data-score="mknn"] { --bc: var(--c-mknn); }
.bar-row[data-score="mst"] { --bc: var(--c-mst); }
.bar-row[data-score="order"] { --bc: var(--c-order); }
.bar-row[data-score="cka"] { --bc: var(--c-cka); }
.bar-row[data-score="cka"] .b-val { color: var(--c-cka); }
.bend-card figcaption { margin-top: 14px; font: 400 13.5px/1.55 var(--font-sans); color: var(--fg-2); }

.findings-head { margin: 80px 0 10px; }
.findings-lead { margin: 0 0 22px; font-size: 17px; color: var(--fg-body); max-width: 46rem; }
.findings { list-style: none; margin: 0; padding: 0; display: grid; grid-template-columns: repeat(2, minmax(0, 1fr)); gap: 16px; counter-reset: f; }
.findings li {
  --c: var(--accent);
  position: relative; background: var(--surface); border: 1px solid var(--line); border-radius: 14px;
  padding: 20px 22px 20px; font-size: 15.5px; line-height: 1.6; color: var(--fg-body);
  box-shadow: var(--shadow-1);
}
.findings li::before { content: ""; position: absolute; left: 0; top: 18px; bottom: 18px; width: 3px; border-radius: 0 3px 3px 0; background: var(--c); }
.findings .f-tag { display: flex; width: fit-content; align-items: center; gap: 7px; font: 600 11.5px/1 var(--font-sans); letter-spacing: .08em; text-transform: uppercase; color: var(--c-ink, var(--c)); margin-bottom: 9px; }
.findings .f-tag i { width: 8px; height: 8px; border-radius: 50%; background: var(--c); }
.findings li[data-study="PRH"] { --c: var(--prh); }
.findings li[data-study="ARH"] { --c: var(--arh); --c-ink: var(--arh-ink); }
.findings li[data-study="BPC"] { --c: var(--bpc); }
.findings li[data-study="SOG"] { --c: var(--sog); --c-ink: var(--sog-ink); }
.findings li[data-study="train"] { --c: var(--accent); }
.findings li[data-study="exp"] { --c: var(--fg-2); }

/* ---------- lattice section ---------- */
.rows { display: grid; gap: 0; max-width: 64rem; }
.row { display: grid; grid-template-columns: minmax(0, 15rem) minmax(0, 1fr); gap: 16px 40px; padding: 26px 0; border-top: 1px solid var(--line); }
.row:first-child { border-top: 0; padding-top: 0; }
.row h3 { font-size: 20px; }
.row p { margin-bottom: .8em; }
.row p:last-child { margin-bottom: 0; }

.fig-card {
  margin: 48px 0 0; background: var(--surface); border: 1px solid var(--line); border-radius: 18px; box-shadow: var(--shadow-1);
  padding: clamp(14px, 2vw, 22px);
}
.fig-img { display: block; background: var(--fig-bg); border-radius: 10px; padding: clamp(8px, 1.4vw, 16px); }
.fig-img img { width: 100%; }
a.fig-img { cursor: zoom-in; position: relative; }
a.fig-img::after {
  content: ""; position: absolute; right: 10px; top: 10px; width: 30px; height: 30px; border-radius: 8px;
  background: rgba(17, 21, 29, .72) url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='white' stroke-width='2' stroke-linecap='round'%3E%3Cpath d='M15 3h6v6M9 21H3v-6M21 3l-7 7M3 21l7-7'/%3E%3C/svg%3E") center / 15px no-repeat;
  opacity: 0; transition: opacity .2s ease;
}
a.fig-img:hover::after, a.fig-img:focus-visible::after { opacity: 1; }
@media (hover: none) {
  a.fig-img::after {
    opacity: 1; content: "Tap to enlarge"; position: static; display: block; width: fit-content; height: auto;
    margin: 10px auto 0; padding: 7px 10px 7px 29px;
    font: 600 12px/1 var(--font-sans); color: #fff; background-position: 10px center; background-size: 13px;
  }
}
#fig1 .fig-img, .lattice-fallback { background: #f8f8f8; }
#fig1 .fig-img { padding: clamp(4px, .8vw, 10px); }
.fig-card figcaption, .card-fig figcaption { margin-top: 14px; font: 400 14px/1.6 var(--font-sans); color: var(--fg-2); }
.fig-card figcaption b, .card-fig figcaption b { color: var(--fg); font-weight: 600; }
.fig-num { font-weight: 700; color: var(--fg); }

/* ---------- study and training cards ---------- */
.cards { display: grid; gap: 22px; margin-top: 44px; }
.card {
  --c: var(--accent);
  display: grid; grid-template-columns: minmax(0, 1fr) minmax(0, 1.08fr); gap: clamp(22px, 3vw, 44px);
  background: var(--surface); border: 1px solid var(--line); border-radius: 18px; box-shadow: var(--shadow-1);
  padding: clamp(20px, 3vw, 36px); position: relative; overflow: hidden; scroll-margin-top: 14px;
}
.card::before { content: ""; position: absolute; left: 0; right: 0; top: 0; height: 3px; background: var(--c); opacity: .9; }
.card[data-study="PRH"] { --c: var(--prh); }
.card[data-study="ARH"] { --c: var(--arh); --c-ink: var(--arh-ink); }
.card[data-study="BPC"] { --c: var(--bpc); }
.card[data-study="SOG"] { --c: var(--sog); --c-ink: var(--sog-ink); }
.card-tag { display: flex; flex-wrap: wrap; align-items: center; gap: 4px 10px; margin: 0 0 14px; font: 500 13px/1.4 var(--font-sans); color: var(--fg-2); }
.card-tag b {
  display: inline-flex; align-items: center; gap: 7px; font: 700 12px/1 var(--font-sans); letter-spacing: .08em;
  color: var(--c-ink, var(--c)); padding: 6px 9px; border-radius: 7px; background: color-mix(in srgb, var(--c) 10%, transparent);
}
.card-tag b i { width: 8px; height: 8px; border-radius: 50%; background: var(--c); }
.card h3 { margin-bottom: 16px; }
.card-text p { font-size: 16px; }
.card-fig { margin: 0; align-self: start; }
.card-fig .fig-img.narrow { max-width: 360px; margin: 0 auto; }
.card-fig .lat-static { background: var(--bg); border: 1px solid var(--line); border-radius: 12px; padding: 10px; }
.card.stack { grid-template-columns: 1fr; gap: 28px; }
.card.stack .card-text { display: grid; grid-template-columns: minmax(0, 0.8fr) minmax(0, 1.2fr); gap: 8px 52px; align-items: start; }
.card.stack .card-head h3 { margin-bottom: 0; }
.card.stack .card-fig { border-top: 1px solid var(--line); padding-top: 26px; }
.card.stack .card-fig .fig-img { max-width: 1060px; margin: 0 auto; }
.card.stack .card-fig figcaption { max-width: 62rem; margin-left: auto; margin-right: auto; }
.card[data-study="ARH"] .card-fig .fig-img { max-width: 900px; }
.card[data-study="BPC"] .card-fig .fig-img { max-width: 860px; }
.show-on {
  display: inline-flex; align-items: center; gap: 8px; margin-top: 6px;
  font: 600 14px/1 var(--font-sans); color: var(--c-ink, var(--c)); background: none; border: 0; padding: 6px 0; cursor: pointer; text-decoration: none;
}
.show-on svg { width: 16px; height: 16px; transition: transform .3s var(--ease); }
.show-on:hover svg { transform: translateY(-3px); }
.closing { margin-top: 56px; max-width: 52rem; }
.closing p { font-size: 18px; }

/* ---------- experiments ---------- */
.stat-groups { display: grid; gap: 28px; margin: 44px 0 0; }
.stat-group h3 { margin-bottom: 12px; }
.stats { display: grid; grid-template-columns: repeat(6, minmax(0, 1fr)); gap: 12px; }
.stats .stat { grid-column: span 2; }
.stats .stat.s4 { grid-column: span 4; }
.stat { background: var(--surface); border: 1px solid var(--line); border-radius: 14px; padding: 18px 18px 16px; }
.stat .big { display: block; font: 600 clamp(28px, 2.6vw, 36px)/1.05 var(--font-serif); color: var(--fg); font-variant-numeric: lining-nums tabular-nums; letter-spacing: -0.01em; margin-bottom: 8px; }
.stat .big sup { font-size: .55em; }
.stat .lbl { display: block; font: 400 14px/1.5 var(--font-sans); color: var(--fg-2); }
.stats.stats-2 .stat { grid-column: span 3; }
.results { display: grid; gap: 0; margin-top: 72px; }
.result { padding: 40px 0; border-top: 1px solid var(--line); }
.result-head { display: flex; flex-wrap: wrap; align-items: baseline; justify-content: space-between; gap: 6px 20px; margin-bottom: 18px; }
.result-head a { font: 600 13.5px/1.3 var(--font-sans); color: var(--accent); text-decoration: none; white-space: nowrap; }
.result-head a:hover { text-decoration: underline; text-underline-offset: 3px; }
.result-body { display: grid; grid-template-columns: minmax(0, 1.25fr) minmax(0, 1fr); gap: 28px 40px; align-items: start; }
.result-body .take { margin-top: 0; }
.result-main .frame { margin: 0 0 16px; font-size: 16px; line-height: 1.62; color: var(--fg-body); }
.nums { margin: 0; padding: 0; list-style: none; display: grid; gap: 12px; }
.nums li { position: relative; padding-left: 20px; font-size: 15.5px; line-height: 1.6; color: var(--fg-body); }
.nums li::before { content: ""; position: absolute; left: 2px; top: .62em; width: 7px; height: 7px; border-radius: 2px; background: var(--accent); transform: rotate(45deg); }
.scope {
  margin-top: 48px; padding: 22px 24px; border-radius: 14px; border: 1px dashed var(--line-strong); background: var(--surface);
  max-width: 60rem;
}
.scope .h3-sans { margin: 0 0 10px; }
.scope p { font-size: 15px; color: var(--fg-2); margin-bottom: .7em; }
.scope p:last-child { margin-bottom: 0; }

/* ---------- terms ---------- */
.terms { display: grid; grid-template-columns: repeat(2, minmax(0, 1fr)); gap: 14px; margin: 44px 0 0; }
.term { background: var(--surface); border: 1px solid var(--line); border-radius: 14px; padding: 20px 22px; scroll-margin-top: 14px; }
.term dt { font: 600 21px/1.25 var(--font-serif); color: var(--fg); margin-bottom: 8px; }
.term dd { margin: 0; font-size: 15px; line-height: 1.62; color: var(--fg-body); }
.term dd p { margin: 0 0 .6em; }
.term dd p:last-child { margin-bottom: 0; }
.term:target { border-color: var(--accent); box-shadow: 0 0 0 3px var(--accent-soft); }

/* ---------- cite ---------- */
.link-cards { display: grid; grid-template-columns: repeat(3, minmax(0, 1fr)); gap: 14px; margin: 44px 0 0; }
.link-card {
  display: flex; flex-direction: column; gap: 6px; padding: 22px; border-radius: 14px; min-height: 128px;
  border: 1.5px solid var(--fg); color: var(--fg); text-decoration: none; background: var(--surface); text-align: left;
  font: inherit; cursor: pointer; transition: background-color .2s ease, color .2s ease, transform .3s var(--ease);
}
.link-card svg { width: 24px; height: 24px; margin-bottom: auto; }
.link-card .lc-title { font: 600 18px/1.3 var(--font-sans); }
.link-card .lc-sub { font: 400 13.5px/1.4 var(--font-sans); color: var(--fg-2); }
.link-card:hover { background: var(--fg); color: var(--bg); }
.link-card:hover .lc-sub { color: inherit; opacity: .8; }
.link-card.is-muted { border-color: var(--line-strong); color: var(--fg-3); cursor: default; }
.link-card.is-muted:hover { background: var(--surface); color: var(--fg-3); }
.link-card.is-muted .lc-sub { color: var(--fg-3); }
.abstract { margin-top: 36px; max-width: 60rem; border: 1px solid var(--line); border-radius: 12px; background: var(--surface); }
.abstract summary { display: flex; align-items: center; justify-content: space-between; gap: 12px; padding: 16px 20px; cursor: pointer; list-style: none; }
.abstract summary::-webkit-details-marker { display: none; }
.abstract summary .h3-sans { margin: 0; }
.abstract .ab-more { font: 600 13.5px/1 var(--font-sans); color: var(--accent); }
.abstract .ab-more::after { content: " +"; }
.abstract[open] .ab-more { font-size: 0; }
.abstract[open] .ab-more::after { content: "Hide \2212"; font-size: 13.5px; }
.abstract p { margin: 0; padding: 0 20px 20px; font-size: 15.5px; line-height: 1.68; color: var(--fg-body); }
.bib-wrap { margin-top: 36px; max-width: 60rem; }
.bib-head { display: flex; align-items: center; justify-content: space-between; gap: 12px; margin-bottom: 10px; }
pre.bib {
  margin: 0; padding: 18px 20px; overflow-x: auto; border-radius: 12px; background: var(--bg-2); border: 1px solid var(--line);
  font: 400 13px/1.65 var(--font-mono); color: var(--fg); white-space: pre-wrap; overflow-wrap: anywhere;
}
.studies-list { margin: 36px 0 0; padding: 0; list-style: none; max-width: 60rem; display: grid; gap: 10px; }
.studies-list li { font-size: 14.5px; line-height: 1.55; color: var(--fg-2); padding-left: 18px; position: relative; }
.studies-list li::before { content: ""; position: absolute; left: 0; top: .62em; width: 8px; height: 8px; border-radius: 50%; background: var(--c, var(--fg-3)); }
.studies-list a { color: var(--fg); text-decoration-color: var(--line-strong); text-underline-offset: 3px; }
.studies-list a:hover { text-decoration-color: currentColor; }

/* ---------- footer ---------- */
.footer { border-top: 1px solid var(--line); padding: 36px 0 48px; font-size: 13.5px; color: var(--fg-3); }
.footer .wrap { display: flex; flex-wrap: wrap; gap: 8px 24px; justify-content: space-between; }
.footer a { color: var(--fg-2); text-underline-offset: 3px; text-decoration-color: var(--line-strong); }

/* ---------- dialogs ---------- */
dialog.dlg {
  width: min(640px, calc(100vw - 32px)); max-height: min(86vh, 760px); padding: 0; border: 1px solid var(--line);
  border-radius: 16px; background: var(--raised); color: var(--fg-body); box-shadow: var(--shadow-2);
}
dialog.dlg::backdrop { background: rgba(8, 11, 16, .45); -webkit-backdrop-filter: blur(3px); backdrop-filter: blur(3px); }
dialog.dlg[open] { animation: dlg-in .28s var(--ease); }
@keyframes dlg-in { from { opacity: 0; transform: translateY(10px) scale(.985); } to { opacity: 1; transform: none; } }
.dlg-inner { padding: 24px 26px 26px; }
.dlg-head { display: flex; align-items: flex-start; justify-content: space-between; gap: 16px; margin-bottom: 14px; }
.dlg-head h3 { font-size: 24px; }
.dlg-close { flex: none; width: 36px; height: 36px; border-radius: 9px; border: 1.5px solid var(--line-strong); background: none; color: var(--fg); cursor: pointer; display: grid; place-items: center; }
.dlg-close:hover { border-color: var(--fg); }
.dlg-close svg { width: 16px; height: 16px; }
.dlg-body p { font-size: 15.5px; line-height: 1.62; }
.dlg-body p:last-child { margin-bottom: 0; }
.dlg-foot { margin-top: 14px; font-size: 13px; color: var(--fg-3); }
.dlg-foot a { color: var(--accent); }
dialog.dlg-fig { width: min(1280px, calc(100vw - 24px)); max-height: 94vh; }
dialog.dlg-fig .fig-img { padding: 14px; }
dialog.dlg-fig .fig-img img { width: auto; max-width: 100%; max-height: calc(94vh - 200px); margin: 0 auto; }
#dlg-cite { width: min(900px, calc(100vw - 32px)); }
dialog.dlg-fig figcaption { margin-top: 12px; font-size: 14px; color: var(--fg-2); line-height: 1.55; }
.dlg-hint { display: none; font: 500 13px/1.4 var(--font-sans); color: var(--fg-2); align-self: center; }
@media (max-width: 760px) {
  dialog.dlg-fig { width: 100vw; max-width: 100vw; height: 100vh; height: 100dvh; max-height: none; margin: 0; border: 0; border-radius: 0; }
  dialog.dlg-fig .dlg-inner { padding: 12px 0 18px; height: 100%; display: flex; flex-direction: column; }
  dialog.dlg-fig .dlg-head { padding: 0 12px 0 16px; margin-bottom: 10px; }
  dialog.dlg-fig .dlg-hint { display: block; }
  dialog.dlg-fig figure { display: flex; flex-direction: column; min-height: 0; flex: 1; }
  dialog.dlg-fig .fig-img { overflow: auto; border-radius: 0; padding: 10px; flex: none; max-height: 72vh; -webkit-overflow-scrolling: touch; }
  dialog.dlg-fig .fig-img img { width: 1000px; max-width: none; max-height: none; margin: 0; }
  dialog.dlg-fig .fig-img img[src*="fig_mst"] { width: 640px; }
  dialog.dlg-fig figcaption { padding: 0 16px; overflow: auto; }
}

/* ---------- motion ---------- */
.js .reveal { opacity: 0; transform: translateY(16px); transition: opacity .7s ease, transform .8s var(--ease); }
.js .reveal.in { opacity: 1; transform: none; }
.js .hero-text > * { animation: rise .8s var(--ease) both; }
.js .hero-text > *:nth-child(2) { animation-delay: .06s; }
.js .hero-text > *:nth-child(3) { animation-delay: .12s; }
.js .hero-text > *:nth-child(4) { animation-delay: .16s; }
.js .hero-text > *:nth-child(5) { animation-delay: .2s; }
.js .hero-text > *:nth-child(6) { animation-delay: .24s; }
.js .hero-text > *:nth-child(7) { animation-delay: .28s; }
.js .hero-visual { animation: rise 1s var(--ease) .15s both; }
@keyframes rise { from { opacity: 0; transform: translateY(14px); } to { opacity: 1; transform: none; } }
@media (prefers-reduced-motion: reduce) {
  *, *::before, *::after { animation: none !important; transition: none !important; }
  .js .reveal { opacity: 1; transform: none; }
}

/* ---------- responsive ---------- */
@media (max-width: 1080px) {
  .card, .term { scroll-margin-top: 8px; }
  .section { scroll-margin-top: -84px; }
  .hero-title { font-size: clamp(44px, 5.6vw, 90px); }
  .bend-grid { grid-template-columns: 1fr; }
  .bend-text, .card-body, .card-head, .result-main, .result-body .take { max-width: 46rem; }
  .card-fig .lat-static { max-width: 460px; margin: 0 auto; }
  .card { grid-template-columns: 1fr; }
  .card.stack .card-text { grid-template-columns: 1fr; }
  .card.stack .card-head { margin-bottom: 8px; }
  .result-body { grid-template-columns: 1fr; }
}
@media (max-width: 900px) {
  .hero-grid { grid-template-columns: 1fr; }
  .hero { min-height: 0; padding-top: calc(var(--topbar-h) + 40px); }
  .hero-text { max-width: 44rem; }
  .hero-visual { max-width: 640px; width: 100%; margin: 0 auto; }
  .lattice-svg { max-height: none; }
}
@media (max-width: 760px) {
  body { font-size: 16px; }
  .lead p { font-size: 17px; }
  .bend-panels { grid-template-columns: 1fr 1fr; }
  .bend-panel.bars-panel { grid-column: 1 / -1; }
  .bars { padding-top: 4px; }
  .findings { grid-template-columns: 1fr; }
  .row { grid-template-columns: 1fr; gap: 8px; padding: 22px 0; }
  .terms { grid-template-columns: 1fr; }
  .link-cards { grid-template-columns: 1fr; }
  .link-card { min-height: 0; }
  .link-card svg { margin-bottom: 6px; }
  .stats { grid-template-columns: repeat(2, minmax(0, 1fr)); }
  .stats .stat { grid-column: span 1; }
  .stats .stat.s4 { grid-column: span 2; }
  .spec { height: auto; min-height: 112px; }
  .spec-grid { grid-template-columns: 1fr 1fr; }
  .spec-grid > div:nth-child(3) { border-left: 0; }
  .spec-grid > div:nth-child(n+3) { border-top: 1px solid var(--line); }
  .take { padding: 16px 18px 16px 52px; font-size: 16px; }
  .take::before { left: 17px; top: 17px; width: 22px; height: 22px; }
  .continue { margin-top: 44px; }
}
@media (max-width: 480px) {
  .plate { margin: 0 calc(-1 * var(--gutter)); border-radius: 0; border-left: 0; border-right: 0; padding: 16px 6px 14px; box-shadow: none; }
  .plate-head, .plate .spec, .cap-slot { margin-left: 10px; margin-right: 10px; }
  .chips { gap: 5px; }
  .chip { padding: 7px 9px; gap: 6px; font-size: 13px; }
  .lat .axis, .lat .tag, .lat .gap text { display: none; }
  .lat .n-label { font-size: 15.5px; }
  .lat .n-sym { font-size: 17.5px; }
  .lat .n-sym .sub { font-size: 12.5px; }
  .lat .n-sym .sub2 { font-size: 10px; }
  .lat .incomp text { font-size: 15.5px; }
  .cap-slot { font-size: 14px; }
  .card-fig .lat-static { padding: 4px; }
  .hero-title { font-size: clamp(40px, 12vw, 56px); }
  .authors { font-size: 15.5px; gap: 0 14px; }
  .affils { font-size: 13px; gap: 0 12px; }
  .teaser { font-size: 16px; }
  .btn-row { display: grid; grid-template-columns: 1fr 1fr; gap: 8px; }
  .btn { padding: 0 10px; font-size: 14.5px; gap: 7px; justify-content: center; }
  .btn .soon { font-size: 10px; padding: 3px 5px; letter-spacing: .04em; }
  .btn .soon-long { display: none; }
  .card { padding: 20px 16px; }
  .stat { padding: 14px; }
  .stat .lbl { font-size: 13px; }
  .dlg-inner { padding: 20px 18px 20px; }
  pre.bib { font-size: 11px; padding: 14px; }
  .bend-card { padding: 14px 12px 12px; }
}
@media (max-width: 374px) {
  .btn-row .btn svg { display: none; }
  .stats { grid-template-columns: 1fr; }
  .stats .stat, .stats .stat.s4 { grid-column: auto; }
}

@media print {
  .topbar, .continue, .show-on, .needs-js, .theme-btn { display: none !important; }
  .js .reveal { opacity: 1 !important; transform: none !important; }
  .section { padding: 32px 0; }
  body { background: #fff; color: #000; }
}

/* Affiliation logos (added 2026-10-13). Official colors in light mode; in dark mode each logo sits on a light chip so dark wordmarks stay legible. */
.logos { display: flex; flex-wrap: wrap; align-items: center; gap: 10px 22px; margin: 14px 0 6px; }
.logo-chip { display: inline-flex; align-items: center; border-radius: 8px; padding: 4px 0; }
.logo { height: 34px; width: auto; display: block; }
.logo-unsw { height: 40px; }
:root[data-theme="dark"] .logo-chip { background: #f4f2ee; padding: 5px 10px; }
@media (prefers-color-scheme: dark) { :root:not([data-theme="light"]) .logo-chip { background: #f4f2ee; padding: 5px 10px; } }
@media (max-width: 600px) { .logo { height: 28px; } .logo-unsw { height: 33px; } .logos { gap: 8px 16px; } }

/* Keep the four hero buttons on one row next to the logo row. */
.btn-row .soon-long { display: none; }

/* ---------- instruments and page polish (site_v2, 2026-10-13) ---------- */
:root { --d-nb: #1f78b4; --d-alt: #b5368c; --d-cka: #cc3d1f; }
@media (prefers-color-scheme: dark) { :root:not([data-theme="light"]) { --d-nb: #3b8ed4; --d-alt: #cf5fa0; --d-cka: #e0663f; } }
:root[data-theme="dark"] { --d-nb: #3b8ed4; --d-alt: #cf5fa0; --d-cka: #e0663f; }

/* reading progress and the filling chapter underline */
.read-progress { position: absolute; left: 0; right: 0; bottom: -1px; height: 2px; pointer-events: none; transition: opacity .3s ease; }
.read-progress i { display: block; height: 100%; background: var(--accent); transform: scaleX(0); transform-origin: left; }
.topbar.at-top .read-progress { opacity: 0; }
.chapters a[aria-current="true"]::before { content: ""; position: absolute; left: 11px; right: 11px; bottom: 2px; height: 2px; border-radius: 2px; background: var(--line-strong); opacity: .6; }
.chapters a[aria-current="true"]::after { transform: scaleX(var(--p, 1)); transform-origin: left; transition: transform .15s linear; }
@media (max-width: 1080px) { .chapters a[aria-current="true"]::before { left: 10px; right: 10px; } }

/* ghost chapter numerals */
.section > .wrap[data-num] { position: relative; isolation: isolate; }
.section > .wrap[data-num]::before {
  content: attr(data-num); position: absolute; z-index: -1; right: var(--gutter); top: -.2em; pointer-events: none;
  font: 500 clamp(110px, 11vw, 164px)/1 var(--font-serif); letter-spacing: -.03em; font-variant-numeric: lining-nums;
  color: transparent; -webkit-text-stroke: 1.2px var(--line-strong); opacity: 0; transition: opacity 1.2s ease .2s;
}
.js .section > .wrap[data-num]:has(> .sec-head.in)::before, html:not(.js) .section > .wrap[data-num]::before { opacity: .9; }
@media (max-width: 1279px) { .section > .wrap[data-num]::before { display: none; } }

/* badges, figure bars */
.badge { display: inline-flex; align-items: center; gap: 7px; font: 600 11px/1 var(--font-sans); letter-spacing: .08em; text-transform: uppercase; color: var(--fg-2); background: var(--bg-2); border: 1px solid var(--line); padding: 6px 10px; border-radius: 999px; white-space: nowrap; }
.badge::before { content: ""; width: 6px; height: 6px; border-radius: 50%; background: currentColor; opacity: .75; }
.badge.ill { color: var(--accent-ink); background: var(--accent-soft); border-color: var(--accent-line); }
.fig-bar { display: flex; flex-wrap: wrap; align-items: center; justify-content: space-between; gap: 8px 10px; margin-bottom: 12px; }
.fig-bar .tool { padding: 7px 11px; font-size: 13.5px; }
.js a.fig-img::after { display: none; }
@media (hover: hover) { .js a.fig-img::after { display: block; } }
.fig-img img { transition: transform .5s var(--ease); }
a.fig-img { overflow: hidden; }
@media (hover: hover) { a.fig-img:hover img { transform: scale(1.012); } }
.fig-pair { display: grid; grid-template-columns: minmax(0, 1.12fr) minmax(0, 2.3fr); gap: 18px; align-items: start; margin-top: 40px; }
.fig-pair .fig-card { margin: 0; }
.result > .fig-card { margin-top: 32px; }
#fig-mst .fig-img { max-width: 380px; margin: 0 auto; }

/* card actions: show on the lattice, measurements in Section 05 */
.card-acts { display: flex; flex-wrap: wrap; gap: 4px 22px; margin-top: 6px; }
.card-acts .show-on { margin-top: 0; }
.show-on.fwd { color: var(--accent); }
.show-on.fwd:hover svg { transform: translateY(3px); }

/* instruments share one grammar with the Overview animation */
.card.stack .card-fig.viz-host { padding-top: 24px; }
.viz { margin: 0; }
.viz-head { display: flex; flex-wrap: wrap; align-items: center; gap: 8px 14px; margin-bottom: 14px; }
.viz-hint { margin: 0; flex: 1 1 260px; font: 500 13.5px/1.45 var(--font-sans); color: var(--fg-2); }
.viz-controls { display: flex; flex-wrap: wrap; align-items: center; gap: 10px 14px; margin-bottom: 12px; }
.viz-controls label { font: 600 14px/1 var(--font-sans); color: var(--fg); white-space: nowrap; }
.viz-controls output { font: 600 14px/1 var(--font-sans); font-variant-numeric: tabular-nums; color: var(--fg); min-width: 5.4em; }
.viz-controls .ends { font: 500 12px/1 var(--font-sans); color: var(--fg-3); white-space: nowrap; }
.viz-controls .slider-wrap { flex: 1 1 170px; display: flex; align-items: center; gap: 10px; min-width: 150px; }
.viz-controls input:disabled { opacity: .35; cursor: default; }
.is-wd .viz-controls label, .is-wd .viz-controls .ends, .is-wd .viz-controls output { color: var(--fg-3); }
.viz-note { margin: -2px 0 14px; max-width: 62rem; font: 400 13.5px/1.55 var(--font-sans); color: var(--fg-2); border-left: 3px solid var(--line-strong); padding-left: 12px; }
.seg { display: inline-flex; padding: 3px; gap: 2px; border-radius: 10px; background: var(--bg-2); border: 1px solid var(--line); }
.seg button { font: 600 13.5px/1 var(--font-sans); color: var(--fg-2); background: none; border: 0; border-radius: 7px; padding: 8px 11px; cursor: pointer; white-space: nowrap; transition: background-color .2s ease, color .2s ease; }
.seg button:hover { color: var(--fg); }
.seg button[aria-pressed="true"] { background: var(--btn-bg); color: var(--btn-fg); }
.viz-panels { display: grid; grid-template-columns: 1fr 1fr 1.25fr; gap: 10px 16px; align-items: start; }
.viz-panel { margin: 0; min-width: 0; }
.viz-panel .p-title { font: 600 12px/1.3 var(--font-sans); letter-spacing: .06em; text-transform: uppercase; color: var(--fg-3); margin: 0 0 6px; }
.viz-panel .p-title .katex { text-transform: none; font-size: 1.15em; }
.viz-panel > svg, .viz-panel > canvas { display: block; width: 100%; height: auto; aspect-ratio: 1; background: var(--bg); border: 1px solid var(--line); border-radius: 10px; }
.viz-panel > svg.sv-mknn { aspect-ratio: 352 / 298; }
.viz-panel svg text { font-family: var(--font-sans); }
.read-panel { grid-row: span 2; }
.viz-legend { display: flex; flex-wrap: wrap; gap: 5px 16px; margin-top: 10px; font: 500 12px/1.3 var(--font-sans); color: var(--fg-2); }
.viz-legend.span2 { grid-column: 1 / 3; margin-top: 0; }
.viz-legend span { display: inline-flex; align-items: center; gap: 6px; }
.lg { width: 16px; height: 12px; flex: none; overflow: visible; }
.card.stack .viz figcaption { max-width: 62rem; margin: 14px 0 0; font: 400 13.5px/1.55 var(--font-sans); color: var(--fg-2); }
.viz-host noscript .fig-img, .viz-host > .fig-img { max-width: 900px; margin: 0 auto; }

/* readouts and bars */
.v-reads { display: grid; gap: 12px; margin: 2px 0 12px; }
.v-read { display: grid; grid-template-columns: 1fr auto; align-items: end; gap: 5px 10px; }
.v-read .lab { font: 500 13px/1.3 var(--font-sans); color: var(--fg-body); }
.v-read .val { font: 700 19px/1 var(--font-sans); font-variant-numeric: tabular-nums; color: var(--fg); }
.v-read .sub { grid-column: 1 / -1; display: flex; align-items: center; gap: 7px; font: 500 12.5px/1.3 var(--font-sans); color: var(--fg-2); }
.v-read .sub b, .v-keys b, .v-count b { margin-left: auto; font-weight: 600; color: var(--fg); font-variant-numeric: tabular-nums; }
.v-track, .v-bar { grid-column: 1 / -1; position: relative; height: 10px; }
.v-track { border-radius: 6px; background: color-mix(in srgb, var(--fg) 10%, transparent); overflow: hidden; }
.v-seg { position: absolute; top: 0; bottom: 0; left: 0; border-radius: 6px; transition: width .35s var(--ease), left .35s var(--ease); }
[data-bar] .v-seg.f { width: calc(100% * var(--v, 0)); background: color-mix(in srgb, var(--d-nb) 42%, var(--surface)); }
[data-bar] .v-seg.c2 { width: calc(100% * var(--c2, 0)); background: var(--d-nb); }
[data-bar] .v-seg.k { width: calc(100% * var(--v, 0)); background: var(--d-cka); }
.v-bar .v-track { position: absolute; inset: 0; }
.v-bar .v-seg.f { width: calc(100% * var(--f, 0)); background: var(--d-nb); border-radius: 6px 0 0 6px; }
.v-bar .v-seg.b { left: calc(100% * var(--f, 0) + 2px); width: max(0px, calc(100% * var(--b, 0) - 2px)); background: var(--d-alt); border-radius: 0 6px 6px 0; }
.v-tick { position: absolute; top: -5px; bottom: -5px; width: 0; border-left: 2px solid var(--fg); left: calc(100% * var(--n1, 0) - 1px); transition: left .35s var(--ease); }
.v-tick.bd { left: calc(100% * var(--bd, 0) - 1px); border: 0; width: 2px; background: repeating-linear-gradient(var(--fg-2) 0 3px, transparent 3px 5px); }
.v-big { margin: 4px 0 18px; }
.v-big .val { font-size: 22px; }
.v-keys { list-style: none; margin: 0 0 14px; padding: 0; display: grid; gap: 7px; }
.v-keys li, .v-count { display: flex; align-items: center; gap: 8px; font: 500 12.5px/1.35 var(--font-sans); color: var(--fg-2); }
.v-count { margin: 0 0 6px; padding-top: 8px; border-top: 1px solid var(--line); }
.v-count + .v-count { border-top: 0; padding-top: 0; }
.k-sw { width: 12px; height: 8px; border-radius: 2px; background: var(--c); flex: none; }
.k-tick { width: 0; height: 13px; border-left: 2px solid var(--fg); margin: 0 5px; flex: none; }
.k-tick.dash { border: 0; width: 2px; background: repeating-linear-gradient(var(--fg-2) 0 3px, transparent 3px 5px); }
.v-status { margin: 6px 0 0; min-height: 1em; font: 500 12px/1.3 var(--font-sans); color: var(--fg-3); }
.vg-check { display: flex; gap: 9px; align-items: flex-start; margin: 4px 0 0; padding-top: 12px; border-top: 1px solid var(--line); font: 500 13px/1.35 var(--font-sans); color: var(--fg-body); }
.vg-check span { display: flex; flex-direction: column; gap: 2px; }
.vg-check b { font-weight: 600; color: var(--fg); }
.vg-check svg { width: 20px; height: 20px; flex: none; fill: none; stroke: var(--fg-3); stroke-width: 2; stroke-linecap: round; stroke-linejoin: round; }
.vg-check.ok svg circle { fill: var(--d-nb); stroke: var(--d-nb); }
.vg-check.ok svg path { stroke: var(--surface); }

/* panel marks */
.vx-grid { stroke: var(--line); stroke-width: 1; }
.vx-axis { stroke: var(--line-strong); stroke-width: 1; }
.vx-tick { font-size: 10.5px; fill: var(--fg-3); }
.vx-lab { font-size: 10.5px; fill: var(--fg-2); font-weight: 500; }
.vx-name { font-size: 10.5px; fill: var(--fg); font-weight: 600; transition: opacity .3s ease; }
.vx-line { fill: none; stroke: var(--d-nb); stroke-width: 2.2; stroke-linejoin: round; transition: opacity .3s ease; }
.vx-line.dash { stroke-dasharray: 6 4; }
.vx-chance { fill: none; stroke: var(--fg-3); stroke-width: 1.3; stroke-dasharray: 1.5 3.5; stroke-linecap: round; transition: opacity .3s ease; }
.vx-now { fill: var(--surface); stroke: var(--fg); stroke-width: 2; transition: cx .3s var(--ease), cy .3s var(--ease); }
.vf-e { stroke-width: 1.3; stroke-dasharray: 3.5 3; opacity: .5; transition: opacity .25s ease; }
.vf-e.sh { stroke-width: 2.2; stroke-dasharray: none; opacity: 1; stroke-linecap: round; }
.vf-e.f { stroke: var(--d-nb); }
.vf-e.b { stroke: var(--d-alt); }
.vf-pt { fill: var(--fg-3); }
.vg-pt { transition: fill .2s ease; }
.vg-pt.cert { fill: var(--d-nb); }
.vg-pt.same { fill: var(--bg); stroke: var(--d-nb); stroke-width: 1.8; }
.vg-pt.chg { fill: var(--d-alt); }
.vg-nn { stroke: var(--fg); stroke-width: 1.6; }
.vg-ring { fill: none; stroke: var(--fg); stroke-width: 1.6; }
.vg-hit { fill: transparent; cursor: pointer; }

/* calibration chart (ARH) */
.cal { position: relative; --pl: 36px; --pr: 38px; }
.cal-fam { display: grid; grid-template-columns: minmax(140px, 230px) minmax(0, 1fr); gap: 6px 18px; padding: 12px 0; border-top: 1px solid var(--line); align-items: center; }
.cal-fam:first-child { border-top: 0; padding-top: 4px; }
.cal-name b { display: block; font: 600 15.5px/1.25 var(--font-sans); color: var(--fg); }
.cal-name span { font: 500 12.5px/1.4 var(--font-sans); color: var(--fg-2); }
.cal-why { display: block; margin-top: 5px; font: 400 12.5px/1.4 var(--font-sans); font-style: normal; color: var(--fg-2); transition: opacity .3s ease; }
.cal.mid .cal-why { opacity: 0; visibility: hidden; }
.cal-lane { display: grid; grid-template-columns: 46px minmax(0, 1fr); align-items: center; height: 32px; border-radius: 7px; outline-offset: 1px; }
.cal-lane:hover, .cal-lane:focus-visible { background: color-mix(in srgb, var(--fg) 4%, transparent); }
.cal-lab { font: 600 11.5px/1 var(--font-sans); letter-spacing: .03em; color: var(--fg-2); padding-left: 6px; }
.cal-plot, .cal-ticks { position: relative; height: 100%;
  background:
    linear-gradient(var(--line-strong), var(--line-strong)) calc(var(--pl) + (100% - var(--pl) - var(--pr)) * .5 - .75px) 0 / 1.5px 100% no-repeat,
    linear-gradient(var(--line), var(--line)) calc(var(--pl) - .5px) 0 / 1px 100% no-repeat,
    linear-gradient(var(--line), var(--line)) calc(var(--pl) + (100% - var(--pl) - var(--pr)) * .25 - .5px) 0 / 1px 100% no-repeat,
    linear-gradient(var(--line), var(--line)) calc(var(--pl) + (100% - var(--pl) - var(--pr)) * .75 - .5px) 0 / 1px 100% no-repeat,
    linear-gradient(var(--line), var(--line)) calc(100% - var(--pr) - .5px) 0 / 1px 100% no-repeat; }
.cal-plot > * { position: absolute; top: 50%; }
.cal-plot { --X: calc(100% - var(--pl) - var(--pr)); }
.cal-ring, .cal-dot { width: 12px; height: 12px; margin: -6px 0 0 -6px; border-radius: 50%; }
.cal-ring { left: calc(var(--pl) + var(--X) * var(--xr)); border: 2px solid var(--c); background: var(--surface); transition: left .6s var(--ease); }
.cal-dot { left: calc(var(--pl) + var(--X) * var(--xc)); background: var(--c); box-shadow: 0 0 0 2px var(--surface); transition: left .7s var(--ease); }
.cal-arrow { left: calc(var(--pl) + var(--X) * var(--a)); width: calc(var(--X) * var(--w)); height: 2px; margin-top: -1px; background: var(--c); opacity: 0; transition: left .7s var(--ease), width .7s var(--ease), opacity .3s ease; }
.cal-lane.arrow .cal-arrow { opacity: 1; }
.cal-lane.arrow .cal-dot::before { content: ""; position: absolute; top: 50%; margin-top: -4.5px; border: 4.5px solid transparent; }
.cal-lane.arrow.left .cal-dot::before { left: calc(100% + 1px); border-right: 7px solid var(--c); border-left: 0; }
.cal-lane.arrow:not(.left) .cal-dot::before { right: calc(100% + 1px); border-left: 7px solid var(--c); border-right: 0; }
.cal-lane.m-cka { --c: var(--d-cka); }
.cal-lane.m-mknn { --c: var(--d-nb); }
.cal-val, .cal-rawv { font: 600 12.5px/1 var(--font-sans); font-variant-numeric: tabular-nums; color: var(--fg); margin-top: -6.5px; white-space: nowrap; transition: left .7s var(--ease), opacity .3s ease .45s; }
.cal-rawv { font-weight: 500; color: var(--fg-3); transition: left .6s var(--ease), opacity .3s ease; }
.cal-val { left: calc(var(--pl) + var(--X) * var(--xl, var(--xc))); }
.cal-rawv { left: calc(var(--pl) + var(--X) * var(--xr)); }
.cal-val.r, .cal-rawv.r { margin-left: 11px; }
.cal-val.l, .cal-rawv.l { transform: translateX(-100%); margin-left: -11px; }
.cal.pre .cal-val, .cal.pre .cal-rawv { opacity: 0; transition: none; }
.cal.snap * { transition: none !important; }
.cal-axis { display: grid; grid-template-columns: minmax(140px, 230px) minmax(0, 1fr); gap: 0 18px; padding-top: 2px; }
.cal-ticks { height: 22px; margin-left: 46px; background: none; }
.cal-ticks span { position: absolute; top: 4px; left: calc(var(--pl) + (100% - var(--pl) - var(--pr)) * var(--x)); transform: translateX(-50%); font: 500 11.5px/1 var(--font-sans); color: var(--fg-3); font-variant-numeric: tabular-nums; }
.cal-title { grid-column: 2; justify-self: center; margin: 6px 0 0 46px; font-size: 13px; }
.cal-tip { position: absolute; z-index: 3; transform: translate(-50%, -100%); padding: 7px 10px; border-radius: 8px; background: var(--btn-bg); color: var(--btn-fg); font: 500 12.5px/1.4 var(--font-sans); pointer-events: none; opacity: 0; transition: opacity .15s ease; box-shadow: var(--shadow-1); }
.cal-tip.on { opacity: 1; }
.viz-table { margin-top: 14px; font: 500 13px/1.4 var(--font-sans); }
.viz-table summary { cursor: pointer; color: var(--accent); font-weight: 600; width: fit-content; }
.viz-table table { margin-top: 10px; border-collapse: collapse; font-variant-numeric: tabular-nums; width: 100%; max-width: 640px; }
.viz-table th, .viz-table td { padding: 6px 10px; border-bottom: 1px solid var(--line); text-align: right; color: var(--fg-body); }
.viz-table th:nth-child(-n+2), .viz-table td:nth-child(-n+2) { text-align: left; }
.viz-table th { font-size: 11.5px; font-weight: 600; text-transform: uppercase; letter-spacing: .04em; color: var(--fg-3); }

/* figure dialog: step through the paper figures */
.dlg-nav { display: flex; align-items: center; gap: 8px; }
.dlg-step { width: 36px; height: 36px; border-radius: 9px; border: 1.5px solid var(--line-strong); background: none; color: var(--fg); cursor: pointer; display: grid; place-items: center; }
.dlg-step:hover { border-color: var(--fg); }
.dlg-step svg { width: 17px; height: 17px; }
.dlg-count { min-width: 4.2em; text-align: center; font: 600 13px/1 var(--font-sans); color: var(--fg-2); font-variant-numeric: tabular-nums; }
dialog.dlg-fig .dlg-head { align-items: center; }

/* findings as links to their places */
.findings li { padding: 0; transition: transform .35s var(--ease), box-shadow .35s var(--ease), border-color .2s ease; }
.findings .f-link { display: block; height: 100%; padding: 20px 22px 42px; color: inherit; text-decoration: none; border-radius: 14px; }
.findings .f-link::after {
  --m: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 24 24' fill='none' stroke='black' stroke-width='2.2' stroke-linecap='round' stroke-linejoin='round'%3E%3Cpath d='M5 12h14M13 6l6 6-6 6'/%3E%3C/svg%3E");
  content: ""; position: absolute; right: 18px; bottom: 16px; width: 18px; height: 18px; background: var(--c-ink, var(--c)); transition: transform .3s var(--ease);
  -webkit-mask: var(--m) center / contain no-repeat; mask: var(--m) center / contain no-repeat;
}
.findings li:hover, .findings li:focus-within { transform: translateY(-2px); box-shadow: var(--shadow-2); border-color: var(--line-strong); }
.findings li:hover .f-link::after, .findings .f-link:focus-visible::after { transform: translateX(4px); }
.findings .f-link:focus-visible { outline-offset: 2px; border-radius: 14px; }

/* staggered reveals and a one-time glow on the Insight icons */
.js .findings.reveal > li, .js .stat-group.reveal .stat { opacity: 0; translate: 0 12px; transition: opacity .6s ease calc(var(--i, 0) * 60ms), translate .7s var(--ease) calc(var(--i, 0) * 60ms), transform .35s var(--ease), box-shadow .35s var(--ease), border-color .2s ease; }
.js .findings.reveal.in > li, .js .stat-group.reveal.in .stat { opacity: 1; translate: none; }
.findings > li:nth-child(2), .stats > .stat:nth-child(2) { --i: 1; }
.findings > li:nth-child(3), .stats > .stat:nth-child(3) { --i: 2; }
.findings > li:nth-child(4), .stats > .stat:nth-child(4) { --i: 3; }
.findings > li:nth-child(5), .stats > .stat:nth-child(5) { --i: 4; }
.findings > li:nth-child(6) { --i: 5; }
.js .result.in .take.insight::before { animation: bulb 1.3s ease .35s both; }
@keyframes bulb { 0% { opacity: .35; transform: scale(.86); } 55% { opacity: 1; transform: scale(1.1); filter: drop-shadow(0 0 7px rgba(255, 255, 255, .85)); } 100% { opacity: 1; transform: none; } }

@media (max-width: 1080px) {
  .fig-pair { grid-template-columns: 1fr; }
  #fig-mst { max-width: 520px; }
}
@media (max-width: 760px) {
  .viz-panels { grid-template-columns: 1fr 1fr; }
  .read-panel { grid-column: 1 / -1; grid-row: auto; order: 3; }
  .viz-legend.span2 { grid-column: 1 / -1; order: 2; }
  .viz-controls label { order: 1; }
  .viz-controls output { order: 2; }
  .viz-controls .slider-wrap { flex-basis: 100%; order: 3; }
  .viz-controls .seg { order: 4; }
  .viz-controls .tool { order: 5; }
  #viz-gauge .viz-controls .seg { order: 0; }
  .cal-fam, .cal-axis { grid-template-columns: 1fr; }
  .cal-axis > span:first-child { display: none; }
  .cal-title { grid-column: 1; }
  .cal-name { display: flex; flex-wrap: wrap; align-items: baseline; gap: 2px 10px; }
  .cal-why { flex-basis: 100%; margin-top: 0; }
  .cal { --pl: 34px; --pr: 34px; }
}
@media (max-width: 480px) {
  .viz-panels { gap: 10px; }
  .seg button { padding: 8px 9px; font-size: 13px; }
  .viz-table th, .viz-table td { padding: 5px 4px; font-size: 12px; }
}
@media (pointer: coarse) {
  .seg button, .tool, .dlg-step { min-height: 44px; }
  .viz-controls input[type="range"] { height: 32px; }
  .viz-controls input[type="range"]::-webkit-slider-thumb { width: 26px; height: 26px; margin-top: -11px; }
}
@media print { .fig-bar, .card-acts .fwd { display: none !important; } }

/* ---------- review fixes (site_v2, 2026-10-13 evening) ---------- */
.sr-only { position: absolute; width: 1px; height: 1px; padding: 0; margin: -1px; overflow: hidden; clip: rect(0 0 0 0); white-space: nowrap; border: 0; }

/* inline formulas never split across lines; captions, notes and Insight boxes avoid one-word last lines */
.prose .katex, .card .katex, .result .katex, .findings .katex, .viz-note .katex { white-space: nowrap; }
.viz-note, .viz figcaption, .fig-card figcaption, .card-fig figcaption, .take, .findings .f-text { text-wrap: pretty; }

/* an instrument never widens its card: the values table scrolls inside its own box */
.viz-host, .viz { min-width: 0; }
.tbl-scroll { overflow-x: auto; max-width: 100%; contain: inline-size; -webkit-overflow-scrolling: touch; }
@media (max-width: 480px) { .viz-table th { text-transform: none; letter-spacing: 0; font-size: 11.5px; } }

/* ARH chart: the tooltip keeps its width near the edge and opens below the top lanes */
.cal-tip { width: max-content; }
.cal-tip.below { transform: translate(-50%, 0); }

/* SOG legend: color names the edge type, line style names sharing */
.lg.lg-w { width: 26px; }
.lg-sep { width: 1px; height: 14px; background: var(--line-strong); margin: 0 4px; }
@media (max-width: 760px) { .lg-sep { flex-basis: 100%; height: 0; margin: 0; background: none; } }
.v-tick.bd { background: repeating-linear-gradient(var(--fg) 0 3px, var(--surface) 3px 5px); box-shadow: 0 0 0 1.5px var(--surface); }
.k-tick.dash { background: repeating-linear-gradient(var(--fg) 0 3px, transparent 3px 5px); }
.v-count.v-sent { display: block; }
.v-count.v-sent b { margin: 0; }

/* Theorem 2 marks: neighbor lines above the points, with a halo, between rings */
.vg-halo { stroke: var(--bg); stroke-width: 4.5; stroke-linecap: round; }
.vg-nn { stroke-linecap: round; }
.vg-ring { pointer-events: none; }
.vg-ring.nb { stroke-width: 1.4; }

/* criteria result: the small spanning-tree figure sits beside the bullets, the criteria figure takes a full row */
.result-side { display: grid; gap: 24px; align-content: start; }
.result-side .take { margin-top: 0; }
.result-side .fig-card { margin: 0; }
#fig-mst .fig-img { max-width: 340px; }
@media (max-width: 1080px) { .result-side { max-width: 46rem; } .result-side .fig-card { max-width: 520px; } }

/* Main Findings as one list, with the study tag left of each finding */
@media (min-width: 761px) {
  .findings { grid-template-columns: minmax(0, 1fr); max-width: 60rem; gap: 12px; }
  .findings .f-link { display: grid; grid-template-columns: 7.5rem minmax(0, 1fr); column-gap: 18px; padding: 18px 64px 18px 26px; }
  .findings .f-tag { margin: 6px 0 0; align-self: start; }
  .findings .f-link::after { top: 50%; bottom: auto; margin-top: -9px; right: 24px; }
}

/* dark theme: the white paper figures sit on a dimmed mat */
:root[data-theme="dark"] .fig-img { filter: brightness(.86) contrast(1.04); box-shadow: 0 0 0 1px rgba(255, 255, 255, .06); }
@media (prefers-color-scheme: dark) { :root:not([data-theme="light"]) .fig-img { filter: brightness(.86) contrast(1.04); box-shadow: 0 0 0 1px rgba(255, 255, 255, .06); } }

/* touch targets of at least 44 px on coarse pointers */
@media (pointer: coarse) {
  .show-on { min-height: 44px; }
  .result-head a, .cal-title { display: inline-flex; align-items: center; min-height: 44px; }
  .viz-table summary { padding: 12px 0; }
}

/* ---------- video (added 2026-10-14) ---------- */
.video-band { padding: clamp(56px, 7vw, 96px) 0 clamp(48px, 6vw, 80px); border-top: 1px solid var(--line); }
.video-head { margin-bottom: 20px; max-width: 60rem; }
.video-title { margin: 0; font: 600 clamp(22px, 2.6vw, 32px)/1.2 var(--font-serif); font-optical-sizing: auto; letter-spacing: -0.01em; color: var(--fg); text-wrap: balance; }
.video-frame { position: relative; width: 100%; max-width: 960px; aspect-ratio: 16 / 9; border-radius: var(--radius); overflow: hidden; background: #000; border: 1px solid var(--line); }
.video-frame iframe { position: absolute; inset: 0; width: 100%; height: 100%; border: 0; }
.video-note { margin: 12px 0 0; font: 500 14px/1.4 var(--font-sans); }
.video-note a { color: var(--accent-ink); }

/* ---------- results without an Insight column (trim 2026-10-14) ---------- */
.result-body:not(:has(> :nth-child(2))) { grid-template-columns: minmax(0, 1fr); }
.result-body:not(:has(> :nth-child(2))) .result-main { max-width: 52rem; }

/* A short sentence beside a side figure: equal columns, sentence centered on the figure (trim 2026-10-14). */
@media (min-width: 1081px) {
  .result-body:has(> .result-side) { grid-template-columns: minmax(0, 1fr) minmax(0, 1fr); align-items: center; }
}