.curvature-experience{position:relative;margin:42px 0 52px;--cx-soft:color-mix(in srgb,var(--curvature) 7%,transparent);font-family:var(--sans,Manrope,Arial,sans-serif);color:var(--ink);container-type:inline-size}.curvature-experience *{box-sizing:border-box}.curvature-experience button{font:inherit;color:inherit;cursor:pointer}.curvature-experience button:disabled{cursor:default}.curvature-experience button:focus-visible,.cx-cloud-stage:focus-visible{outline:2px solid var(--transport);outline-offset:4px}.curvature-experience [hidden]{display:none!important}.cx-topline{display:flex;align-items:center;justify-content:space-between;min-height:32px;gap:16px}.cx-eyebrow{font-size:11px;font-weight:650;letter-spacing:.11em;color:var(--muted)}.curvature-experience .cx-title{margin:12px 0 10px!important;font-size:clamp(25px,3.7cqw,34px);font-weight:650;line-height:1.2;letter-spacing:-.04em}.curvature-experience .cx-intro{font-size:16px;line-height:1.65;max-width:68ch;color:var(--muted);margin:0 0 24px}.cx-topline>.passage-tools{position:static!important;display:flex;gap:2px;background:none!important;border:0!important;box-shadow:none!important;opacity:1!important;visibility:visible!important;padding:0!important;transform:none!important;margin:0!important}.cx-topline>.passage-tools button{width:32px;height:32px;border-radius:50%}.cx-math{display:inline-block;max-width:100%}.cx-math .katex{font-size:1.13em}.cx-math .katex-display{margin:.2em 0}.cx-curvature{color:var(--curvature)}.cx-geometry{color:var(--geometry)}.cx-transport{color:var(--transport)}.cx-observer{color:var(--observer)}
.cx-phases{display:flex;gap:7px;align-items:stretch;margin:10px 0 26px}.cx-phases button{border:0;background:none;text-align:left;display:flex;gap:9px;align-items:center;padding:10px 12px;border-radius:10px;font-size:13px;line-height:1.4;color:var(--muted);transition:background .15s,color .15s}.cx-phases button>.cx-math{font-size:19px;color:var(--curvature);opacity:.6}.cx-phases button[aria-selected=true]{background:var(--cx-soft);color:var(--ink)}.cx-phases button[aria-selected=true]>.cx-math{opacity:1}.cx-phase-explanation{display:grid;grid-template-columns:minmax(190px,.75fr) minmax(0,1.5fr);align-items:center;gap:32px;margin-bottom:28px}.cx-count{font-size:31px;letter-spacing:-.02em}.cx-phase-explanation p{font-size:15px;line-height:1.65;margin:0!important;color:var(--muted)}.cx-pair-layout{display:grid;grid-template-columns:minmax(0,1.3fr) minmax(250px,1fr);gap:38px;align-items:start}.cx-matrix-label{display:flex;align-items:baseline;justify-content:space-between;gap:14px;margin-bottom:16px}.cx-matrix-label>.cx-math{font-size:25px}.cx-matrix-label>span:last-child{font-size:12px;color:var(--muted)}.curvature-experience .cx-pair-table{border:0!important;box-shadow:none!important;background:none!important;border-collapse:separate;border-spacing:4px;width:100%;table-layout:fixed;min-width:0!important;margin:0!important;overflow:visible}.cx-pair-table :is(th,td){padding:0!important;background:none!important;border:0!important;text-align:center;vertical-align:middle}.cx-pair-table th{font-size:15px;font-weight:400;height:32px;color:var(--muted)}.cx-pair-table tr>th:first-child,.cx-pair-table thead td{width:31px}.cx-pair-table button{display:grid;place-items:center;width:100%;height:51px;border:0;border-radius:8px;background:color-mix(in srgb,var(--curvature) 6%,transparent);font-size:18px;color:var(--curvature);transition:background .15s,box-shadow .15s,opacity .15s;padding:0}.cx-pair-table button.is-diagonal{background:color-mix(in srgb,var(--geometry) 13%,transparent);color:var(--geometry)}.cx-pair-table button.is-lower{opacity:.68}.cx-pair-table button.is-selected{background:color-mix(in srgb,var(--curvature) 22%,transparent);box-shadow:inset 0 0 0 1.5px var(--curvature);opacity:1}.cx-pair-table button.is-mirror{background:color-mix(in srgb,var(--transport) 19%,transparent);box-shadow:inset 0 0 0 1.5px var(--transport);color:var(--transport);opacity:1}.cx-pair-table button.is-bianchi:not(.is-selected):not(.is-mirror){background:color-mix(in srgb,var(--observer) 15%,transparent);color:var(--observer);opacity:1}.curvature-experience .cx-pair-legend{font-size:12px!important;color:var(--muted);margin:12px 0 0!important;line-height:1.6}.cx-selected-name{display:flex;flex-wrap:wrap;align-items:center;gap:16px;margin:7px 0 19px}.cx-selected-name>span:first-child{font-size:13px;color:var(--muted)}.cx-selected-name>.cx-math{font-size:31px}.cx-selected-rule{font-size:22px}.cx-sign-rule{font-size:22px;margin-top:24px}.cx-selected-rule p,.cx-sign-rule p{font-size:14px!important;line-height:1.7;margin:10px 0 0!important;color:var(--muted)}.cx-sign-rule>.cx-math{display:block;margin-bottom:8px}.cx-bianchi{margin-top:30px;padding:24px 0 0}.cx-bianchi-terms{display:flex;flex-wrap:wrap;gap:24px;margin-bottom:18px;font-size:22px}.cx-bianchi>.cx-math{font-size:28px}.cx-bianchi>p{font-size:14px!important;line-height:1.7;color:var(--muted)}.curvature-experience .cx-method{margin:25px 0 0!important;border:0!important;background:none!important;padding:0!important;box-shadow:none!important}.cx-method summary,.cx-reference summary{font-size:13px;color:var(--muted);cursor:pointer;padding:8px 0}.cx-method p{font-size:14px!important;line-height:1.8!important;color:var(--muted);max-width:75ch}.cx-method>.cx-math{font-size:20px}.cx-method a{font-size:12px;color:var(--transport)}
.cx-cloud-modes{display:flex;gap:6px;margin:0 0 14px}.cx-cloud-modes button{padding:10px 14px;border:0;background:none;border-radius:10px;font-size:14px;color:var(--muted)}.cx-cloud-modes button[aria-pressed=true]{background:var(--cx-soft);color:var(--curvature)}.cx-cloud-layout{display:grid;grid-template-columns:minmax(0,1.5fr) minmax(245px,1fr);gap:34px;align-items:center}.cx-cloud-picture{min-width:0}.cx-cloud-stage{position:relative;aspect-ratio:520/380;outline:none;cursor:grab;touch-action:pan-y;border-radius:18px;background:radial-gradient(ellipse at 50% 49%,color-mix(in srgb,var(--curvature) 5%,transparent),transparent 68%)}.cx-cloud-stage:active{cursor:grabbing}.cx-cloud-stage svg{display:block;width:100%;height:100%;overflow:visible}.cx-cloud-reference path{fill:none;stroke:var(--muted);stroke-width:1.25;stroke-opacity:.35;stroke-dasharray:4 5;vector-effect:non-scaling-stroke}.cx-cloud-axes path{fill:none;stroke:currentColor;stroke-width:1.25;stroke-opacity:.42;vector-effect:non-scaling-stroke}.cx-axis-0{color:var(--transport)}.cx-axis-1{color:var(--geometry)}.cx-axis-2{color:var(--observer)}.cx-surface-particle{fill:var(--curvature)}.cx-inner-particle{fill:var(--geometry)}.cx-cloud-origin{fill:var(--ink)}.cx-orbit-hint{position:absolute;bottom:8px;left:0;right:0;text-align:center;color:var(--muted);font-size:11px;pointer-events:none}.cx-principal-lengths{display:flex;justify-content:center;gap:18px;flex-wrap:wrap;font-size:18px;margin:8px 0 22px;font-variant-numeric:tabular-nums}.cx-cloud-controls{display:flex;align-items:center;gap:12px}.cx-cloud-controls button{border:0;background:none;font-size:13px;padding:8px 4px}.cx-cloud-controls .cx-play{display:flex;align-items:center;gap:9px;color:var(--curvature);padding-right:10px}.cx-play-icon{display:block;width:14px;height:14px;clip-path:polygon(20% 0,100% 50%,20% 100%);background:currentColor}.cx-play.is-playing .cx-play-icon{clip-path:polygon(15% 0,40% 0,40% 100%,15% 100%,15% 0,65% 0,90% 0,90% 100%,65% 100%,65% 0)}.cx-restart{color:var(--muted)!important}.cx-time{margin-left:auto;font-size:17px;color:var(--muted);min-width:78px;text-align:right;font-variant-numeric:tabular-nums}.cx-time-track{height:2px;background:color-mix(in srgb,var(--muted) 15%,transparent);margin:12px 0 5px;border-radius:2px;overflow:hidden}.cx-time-track>span{display:block;height:100%;background:var(--curvature)}.cx-time-stops{display:flex;justify-content:space-between;gap:12px}.cx-time-stops button{font-size:14px;border:0;background:none;padding:9px 3px;color:var(--muted)}.cx-time-stops button[aria-pressed=true]{color:var(--curvature)}.cx-measure{margin:0 0 23px}.cx-measure>span,.cx-initial-result>span{display:block;font-size:12px;color:var(--muted);margin:0 0 9px;letter-spacing:.01em}.cx-measure>strong{display:block;font-size:27px;font-weight:400;font-variant-numeric:tabular-nums}.cx-initial-result{margin-top:28px}.cx-initial-result>.cx-math{font-size:24px}.cx-initial-result p{font-size:14px!important;line-height:1.65!important;color:var(--muted);margin:13px 0 0!important}.cx-cloud-equation{font-size:24px;margin:28px 0 10px}.cx-cloud-equation>.cx-math{display:block}.cx-model-note{font-size:13px!important;line-height:1.75!important;color:var(--muted);margin:14px 0 0!important}
@container(max-width:720px){.cx-pair-layout{grid-template-columns:1fr;gap:26px}.cx-matrix-side{max-width:510px;width:100%;margin:auto}.cx-pair-details{display:grid;grid-template-columns:1fr 1fr;gap:8px 26px}.cx-selected-name{grid-column:1/-1}.cx-sign-rule{margin-top:0}.cx-cloud-layout{grid-template-columns:1fr;gap:26px}.cx-cloud-measures{display:grid;grid-template-columns:1fr 1fr;gap:14px 26px}.cx-initial-result{grid-column:1/-1;display:grid;grid-template-columns:.8fr 1.2fr;align-items:center;gap:0 24px;margin-top:0}.cx-initial-result>span{grid-column:1/-1}.cx-initial-result p{margin:0!important}.cx-cloud-stage{max-width:550px;margin:auto}.cx-cloud-equation{font-size:21px}.cx-principal-lengths{font-size:20px}.cx-measure{margin:0 0 10px}}
@container(max-width:430px){.cx-eyebrow{font-size:10px}.curvature-experience .cx-intro{font-size:14px;margin-bottom:20px}.cx-phases{gap:3px;margin-bottom:20px}.cx-phases button{font-size:11px;padding:8px 6px;gap:6px;align-items:flex-start}.cx-phases button>.cx-math{font-size:17px}.cx-phase-explanation{grid-template-columns:1fr;gap:10px;margin-bottom:22px}.cx-count{font-size:29px}.cx-phase-explanation p{font-size:14px}.cx-matrix-label{gap:8px;flex-wrap:wrap}.cx-matrix-label>.cx-math{font-size:26px}.cx-pair-table{border-spacing:3px!important}.cx-pair-table button{height:45px;font-size:17px;border-radius:6px}.cx-pair-table th{font-size:14px}.cx-pair-table tr>th:first-child,.cx-pair-table thead td{width:24px}.cx-pair-details{grid-template-columns:1fr;gap:16px}.cx-selected-name{margin:0}.cx-selected-name>.cx-math{font-size:29px}.cx-selected-rule,.cx-sign-rule{font-size:23px}.cx-bianchi-terms{font-size:19px;gap:12px 21px}.cx-bianchi>.cx-math{font-size:23px}.cx-bianchi{padding-top:8px;margin-top:24px}.cx-cloud-modes button{font-size:13px;padding:9px 11px}.cx-orbit-hint{font-size:10px}.cx-principal-lengths{font-size:15px;gap:11px;margin-bottom:17px}.cx-cloud-controls{gap:8px}.cx-cloud-controls button{font-size:12px}.cx-time{font-size:15px;min-width:69px}.cx-cloud-measures{gap:15px}.cx-measure>strong{font-size:21px}.cx-initial-result{display:block;margin-top:8px}.cx-initial-result>.cx-math{font-size:25px}.cx-initial-result p{margin-top:10px!important}.cx-cloud-equation{font-size:17px}.cx-method>.cx-math{font-size:14px}.cx-model-note{font-size:12px!important}}
@media(prefers-reduced-motion:reduce){.curvature-experience *{transition:none!important;scroll-behavior:auto!important}}

/* The book prose theme must not restyle these application controls. */
.prose .curvature-experience{font-family:Manrope,Arial,sans-serif}.prose .curvature-experience .cx-title{font-family:Manrope,Arial,sans-serif;font-weight:650}.prose .curvature-experience button,.prose .curvature-experience p,.prose .curvature-experience summary{font-family:Manrope,Arial,sans-serif}.prose .curvature-experience .cx-math .katex{font-size:1.13em}.prose .curvature-experience :is(button,summary){line-height:1.45}.cx-measure .katex{white-space:nowrap}@container(max-width:430px){.cx-measure>strong{font-size:18px}.cx-measure .cx-math{white-space:nowrap}}

.cx-matrix-side,.cx-pair-layout>div{min-width:0}.cx-initial-result>.cx-math{color:var(--curvature)}.cx-measure>strong{padding-inline:3px}
