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(min-width:48rem){.md\:sticky{position:sticky}.md\:top-32{top:calc(var(--spacing) * 32)}.md\:col-span-2{grid-column:span 2/span 2}.md\:mt-8{margin-top:calc(var(--spacing) * 8)}.md\:mt-10{margin-top:calc(var(--spacing) * 10)}.md\:mb-6{margin-bottom:calc(var(--spacing) * 6)}.md\:mb-14{margin-bottom:calc(var(--spacing) * 14)}.md\:block{display:block}.md\:flex{display:flex}.md\:hidden{display:none}.md\:h-11{height:calc(var(--spacing) * 11)}.md\:h-fit{height:fit-content}.md\:columns-2{columns:2}.md\:grid-cols-4{grid-template-columns:repeat(4,minmax(0,1fr))}.md\:grid-cols-6{grid-template-columns:repeat(6,minmax(0,1fr))}.md\:grid-cols-\[minmax\(0\,1fr\)_minmax\(0\,16rem\)_2rem\]{grid-template-columns:minmax(0,1fr) minmax(0,16rem) 2rem}.md\:grid-cols-\[minmax\(0\,1fr\)_minmax\(0\,24rem\)_2rem\]{grid-template-columns:minmax(0,1fr) minmax(0,24rem) 2rem}.md\:grid-cols-\[minmax\(0\,13rem\)_minmax\(0\,1fr\)\]{grid-template-columns:minmax(0,13rem) minmax(0,1fr)}.md\:grid-cols-\[minmax\(0\,16rem\)_minmax\(0\,1fr\)\]{grid-template-columns:minmax(0,16rem) minmax(0,1fr)}.md\:justify-end{justify-content:flex-end}.md\:gap-16{gap:calc(var(--spacing) * 16)}.md\:gap-x-8{column-gap:calc(var(--spacing) * 8)}.md\:gap-x-10{column-gap:calc(var(--spacing) * 10)}.md\:gap-x-12{column-gap:calc(var(--spacing) * 12)}.md\:py-9{padding-block:calc(var(--spacing) * 9)}.md\:py-16{padding-block:calc(var(--spacing) * 16)}.md\:py-28{padding-block:calc(var(--spacing) * 28)}.md\:py-32{padding-block:calc(var(--spacing) * 32)}.md\:py-40{padding-block:calc(var(--spacing) * 40)}.md\:pt-\[calc\(var\(--header-h\)\+2rem\)\]{padding-top:calc(var(--header-h) + 2rem)}.md\:pb-16{padding-bottom:calc(var(--spacing) * 16)}.md\:text-2xl{font-size:var(--text-2xl);line-height:var(--tw-leading,var(--text-2xl--line-height))}.md\:text-3xl{font-size:var(--text-3xl);line-height:var(--tw-leading,var(--text-3xl--line-height))}.md\:text-4xl{font-size:var(--text-4xl);line-height:var(--tw-leading,var(--text-4xl--line-height))}.md\:text-5xl{font-size:var(--text-5xl);line-height:var(--tw-leading,var(--text-5xl--line-height))}.md\:text-6xl{font-size:var(--text-6xl);line-height:var(--tw-leading,var(--text-6xl--line-height))}.md\:text-7xl{font-size:var(--text-7xl);line-height:var(--tw-leading,var(--text-7xl--line-height))}.md\:text-\[2\.5rem\]{font-size:2.5rem}.md\:text-\[min\(6rem\,12vh\)\]{font-size:min(6rem,12vh)}}@media (min-width:64rem){.lg\:columns-3{columns:3}.lg\:grid-cols-4{grid-template-columns:repeat(4,minmax(0,1fr))}.lg\:grid-cols-\[minmax\(0\,1fr\)_15rem\]{grid-template-columns:minmax(0,1fr) 15rem}.lg\:border-l{border-left-style:var(--tw-border-style);border-left-width:1px}.lg\:pl-10{padding-left:calc(var(--spacing) * 10)}}.\[\&_a\]\:underline a{text-decoration-line:underline}.\[\&_a\]\:underline-offset-4 a{text-underline-offset:4px}.\[\&_li\]\:ml-5 li{margin-left:calc(var(--spacing) * 5)}.\[\&_ul\]\:list-disc ul{list-style-type:disc}:where(.\[\&_ul\]\:space-y-2 ul>:not(:last-child)){--tw-space-y-reverse:0;margin-block-start:calc(calc(var(--spacing) * 2) * var(--tw-space-y-reverse));margin-block-end:calc(calc(var(--spacing) * 2) * calc(1 - var(--tw-space-y-reverse)))}.\[\&\:nth-child\(n\+2\)\]\:border-l:nth-child(n+2){border-left-style:var(--tw-border-style);border-left-width:1px}}:root{--bg:#06030b;--bg-2:#0c0715;--fg:#f0eaf7;--fg-2:#a395b6;--fg-3:#817298;--line:#241835;--v-deep:#5a00a0;--v:#7500c0;--v-br:#aa00f7;--v-hot:#d98cff;--error:#ff6b6b;--on-violet:#fff;--veil:96%;--veil-lo:58%;--e:cubic-bezier(.19, .85, .22, 1);--gut:clamp(1.15rem, 5vw, 5.5rem);--rail-inset:1.4rem;--header-h:5rem}@media (min-width:768px){:root{--header-h:5.25rem}}:root[data-theme=light]{--bg:#fbfafd;--bg-2:#f3f0f8;--fg:#150e1f;--fg-2:#55496a;--fg-3:#7a6b94;--line:#e1daee;--v-deep:#b77bea;--v:#9500db;--v-br:#7500c0;--v-hot:#5a008f;--veil:93%;--veil-lo:70%;--error:#b91c1c}*{box-sizing:border-box}html{scroll-padding-top:calc(var(--header-h) + 1rem);overflow-x:clip}body{background:radial-gradient(ellipse 120% 60% at 50% -8%, var(--v-deep), transparent 62%), radial-gradient(ellipse 90% 55% at 88% 104%, var(--v), transparent 65%) var(--bg);margin:0}@supports (color:color-mix(in lab, red, red)){body{background:radial-gradient(ellipse 120% 60% at 50% -8%, color-mix(in srgb, var(--v-deep) 32%, transparent), transparent 62%), radial-gradient(ellipse 90% 55% at 88% 104%, color-mix(in srgb, var(--v) 20%, transparent), transparent 65%) var(--bg)}}body{color:var(--fg);font-family:var(--font-body), system-ui, sans-serif;-webkit-font-smoothing:antialiased;font-size:1.0625rem;line-height:1.7;overflow-x:clip}::selection{background:var(--v-br);color:var(--on-violet)}a{color:inherit;text-decoration:none}:focus-visible{outline:2px solid var(--v-br);outline-offset:4px}.u-mono{font-family:var(--font-mono), ui-monospace, monospace;letter-spacing:.2em;text-transform:uppercase;font-size:.6875rem;font-weight:500}@media (prefers-reduced-motion:reduce){*,:before,:after{transition-duration:.01ms!important;transition-delay:0s!important;animation-duration:.01ms!important;animation-iteration-count:1!important}}#field{z-index:0;pointer-events:none;width:100%;height:100%;display:block;position:fixed;inset:0}html[data-preloading="1"] #field{z-index:60}.btn-frame-line,.btn-frame-node{opacity:0;transition-delay:0s;position:absolute}.btn-frame-line{background-image:repeating-linear-gradient(var(--btn-frame-angle,90deg), transparent 0 2px, var(--v) 2px 4px);transition:transform .15s linear,opacity .15s linear}.btn-frame-line--t,.btn-frame-line--b{height:1px;left:0;right:0;transform:scaleX(0)}.btn-frame-line--l,.btn-frame-line--r{--btn-frame-angle:0deg;width:1px;top:0;bottom:0;transform:scaleY(0)}.btn-frame-line--t{transform-origin:0;--leg:0s;top:0}.btn-frame-line--r{transform-origin:top;--leg:.13s;right:0}.btn-frame-line--b{transform-origin:100%;--leg:.26s;bottom:0}.btn-frame-line--l{transform-origin:bottom;--leg:.39s;left:0}.btn-frame-node{background:var(--v-br);width:6px;height:6px;box-shadow:0 0 8px var(--v-br);transition:transform .22s cubic-bezier(.34, 1.56, .64, 1), opacity .22s var(--e);border-radius:9999px;transform:translate(-50%,-50%)scale(0)}.btn-frame-node--tl{--leg:0s;top:0;left:0}.btn-frame-node--tr{--leg:.14s;top:0;left:100%}.btn-frame-node--br{--leg:.27s;top:100%;left:100%}.btn-frame-node--bl{--leg:.4s;top:100%;left:0}.btn-surface:hover .btn-frame-line,.btn-surface:focus-visible .btn-frame-line{opacity:1;transition-delay:var(--leg,0s);transform:scale(1)}.btn-surface:hover .btn-frame-node,.btn-surface:focus-visible .btn-frame-node{opacity:1;transition-delay:var(--leg,0s);transform:translate(-50%,-50%)scale(1)}.btn-surface:focus-visible{outline-color:var(--on-violet)}.marquee-mask{-webkit-mask-image:linear-gradient(90deg,#0000,#000 7% 93%,#0000);mask-image:linear-gradient(90deg,#0000,#000 7% 93%,#0000)}.marquee-row:hover .marquee-item,.marquee-row:focus-within .marquee-item{opacity:.35}.marquee-row .marquee-item:hover,.marquee-row .marquee-item:focus-visible{opacity:1;transform:translateY(-4px)}.marquee-item{transition:opacity .45s var(--e), transform .45s var(--e)}.header-scrim{height:calc(var(--header-h) + 3rem);background:linear-gradient(to bottom, var(--bg) 0, var(--bg) var(--header-h), transparent 100%)}@supports (color:color-mix(in lab, red, red)){.header-scrim{background:linear-gradient(to bottom, color-mix(in srgb, var(--bg) 97%, transparent) 0, color-mix(in srgb, var(--bg) 92%, transparent) var(--header-h), transparent 100%)}}:root[data-theme=light] .brand-lockup{content:url(/vertex-logo.png)}.rule-nodes{background-image:radial-gradient(circle, var(--v-br) 1px, transparent 1.4px);background-position:0;background-repeat:repeat-x;background-size:18px 100%}.veil{background-color:var(--bg)}@supports (color:color-mix(in lab, red, red)){.veil{background-color:color-mix(in srgb, var(--bg) var(--veil), transparent)}}.veil-lo{background-color:var(--bg)}@supports (color:color-mix(in lab, red, red)){.veil-lo{background-color:color-mix(in srgb, var(--bg) var(--veil-lo), transparent)}}.thread-node{transition:background-color .3s var(--e), box-shadow .3s var(--e)}.thread-node-lit{background-color:var(--v-br);box-shadow:0 0 8px var(--v-br)}.link-underline{transition:background-size .45s var(--e);background-image:linear-gradient(currentColor,currentColor);background-position:0 100%;background-repeat:no-repeat;background-size:0% 1px}.link-underline:hover,.link-underline:focus-visible{background-size:100% 1px}@media (prefers-reduced-motion:reduce){.link-underline{transition:none}}.breathing-dot{transition-property:transform,opacity;transition-timing-function:var(--e);opacity:.9;transform:scale(1)}.breathing-dot[data-breathe=in]{opacity:1;transform:scale(1.4)}.cursor-root{z-index:200;pointer-events:none;position:fixed;inset:0}.cursor-dot,.cursor-ring{pointer-events:none;opacity:0;mix-blend-mode:difference;transition:opacity var(--cursor-fade,.3s) var(--e);border-radius:9999px;position:fixed;top:0;left:0}.cursor-root.cursor-active .cursor-dot,.cursor-root.cursor-active .cursor-ring{opacity:1}.cursor-dot{width:var(--cursor-dot-size,7px);height:var(--cursor-dot-size,7px);background:var(--v-hot);transform:translate3d(var(--cursor-x,-100px), var(--cursor-y,-100px), 0) translate(-50%, -50%);transition-property:opacity,transform;transition-duration:var(--cursor-fade,.3s), var(--cursor-dot-ms,70ms);transition-timing-function:var(--e), linear}.cursor-ring{width:var(--cursor-ring-size,30px);height:var(--cursor-ring-size,30px);border:1px solid var(--v-hot);background:var(--v-hot)}@supports (color:color-mix(in lab, red, red)){.cursor-ring{background:color-mix(in srgb, var(--v-hot) 12%, transparent)}}.cursor-ring{transform:translate3d(var(--cursor-x,-100px), var(--cursor-y,-100px), 0) translate(-50%, -50%) scale(var(--cursor-ring-scale,1));transition-property:opacity,transform;transition-duration:var(--cursor-fade,.3s), var(--cursor-ring-ms,.42s);transition-timing-function:var(--e), var(--e)}.cursor-root.cursor-swell{--cursor-ring-scale:var(--cursor-swell-scale,1.75)}@media (hover:none),(pointer:coarse){.cursor-root{display:none}}@media (prefers-reduced-motion:reduce){.cursor-root{display:none}}.field-group .field-label{transition:color .3s var(--e), transform .3s var(--e)}.field-group:focus-within .field-label{color:var(--v-hot);transform:translateY(-2px)}.field-group .field-node{background:var(--line);width:5px;height:5px;transition:background-color .3s var(--e), box-shadow .3s var(--e), transform .3s var(--e);border-radius:9999px;display:inline-block;transform:scale(.6)}.field-group:focus-within .field-node{background:var(--v-br);box-shadow:0 0 8px var(--v-br);transform:scale(1)}.about-dropcap:first-letter{float:left;font-family:var(--font-display), sans-serif;color:var(--v-hot);padding-top:.04em;padding-right:.09em;font-size:4.2em;font-weight:500;line-height:.82}.cc-char{transform:translate(calc(var(--dx) * (1 - var(--cc,0))), calc(var(--dy) * (1 - var(--cc,0)))) rotate(calc(var(--rot) * (1 - var(--cc,0))));opacity:calc(var(--o) + (1 - var(--o)) * var(--cc,0))}@property --tw-translate-x{syntax:"*";inherits:false;initial-value:0}@property --tw-translate-y{syntax:"*";inherits:false;initial-value:0}@property --tw-translate-z{syntax:"*";inherits:false;initial-value:0}@property --tw-scale-x{syntax:"*";inherits:false;initial-value:1}@property --tw-scale-y{syntax:"*";inherits:false;initial-value:1}@property --tw-scale-z{syntax:"*";inherits:false;initial-value:1}@property --tw-rotate-x{syntax:"*";inherits:false}@property --tw-rotate-y{syntax:"*";inherits:false}@property --tw-rotate-z{syntax:"*";inherits:false}@property --tw-skew-x{syntax:"*";inherits:false}@property --tw-skew-y{syntax:"*";inherits:false}@property --tw-space-y-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-divide-y-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-border-style{syntax:"*";inherits:false;initial-value:solid}@property --tw-leading{syntax:"*";inherits:false}@property --tw-font-weight{syntax:"*";inherits:false}@property --tw-tracking{syntax:"*";inherits:false}@property --tw-ordinal{syntax:"*";inherits:false}@property --tw-slashed-zero{syntax:"*";inherits:false}@property --tw-numeric-figure{syntax:"*";inherits:false}@property --tw-numeric-spacing{syntax:"*";inherits:false}@property --tw-numeric-fraction{syntax:"*";inherits:false}@property --tw-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-shadow-color{syntax:"*";inherits:false}@property --tw-shadow-alpha{syntax:"<percentage>";inherits:false;initial-value:100%}@property --tw-inset-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-inset-shadow-color{syntax:"*";inherits:false}@property --tw-inset-shadow-alpha{syntax:"<percentage>";inherits:false;initial-value:100%}@property --tw-ring-color{syntax:"*";inherits:false}@property --tw-ring-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-inset-ring-color{syntax:"*";inherits:false}@property --tw-inset-ring-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-ring-inset{syntax:"*";inherits:false}@property --tw-ring-offset-width{syntax:"<length>";inherits:false;initial-value:0}@property --tw-ring-offset-color{syntax:"*";inherits:false;initial-value:#fff}@property --tw-ring-offset-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-outline-style{syntax:"*";inherits:false;initial-value:solid}@property --tw-blur{syntax:"*";inherits:false}@property --tw-brightness{syntax:"*";inherits:false}@property --tw-contrast{syntax:"*";inherits:false}@property --tw-grayscale{syntax:"*";inherits:false}@property --tw-hue-rotate{syntax:"*";inherits:false}@property --tw-invert{syntax:"*";inherits:false}@property --tw-opacity{syntax:"*";inherits:false}@property --tw-saturate{syntax:"*";inherits:false}@property --tw-sepia{syntax:"*";inherits:false}@property --tw-drop-shadow{syntax:"*";inherits:false}@property --tw-drop-shadow-color{syntax:"*";inherits:false}@property --tw-drop-shadow-alpha{syntax:"<percentage>";inherits:false;initial-value:100%}@property --tw-drop-shadow-size{syntax:"*";inherits:false}@property --tw-backdrop-blur{syntax:"*";inherits:false}@property --tw-backdrop-brightness{syntax:"*";inherits:false}@property --tw-backdrop-contrast{syntax:"*";inherits:false}@property --tw-backdrop-grayscale{syntax:"*";inherits:false}@property --tw-backdrop-hue-rotate{syntax:"*";inherits:false}@property --tw-backdrop-invert{syntax:"*";inherits:false}@property --tw-backdrop-opacity{syntax:"*";inherits:false}@property --tw-backdrop-saturate{syntax:"*";inherits:false}@property --tw-backdrop-sepia{syntax:"*";inherits:false}@property --tw-duration{syntax:"*";inherits:false}@property --tw-ease{syntax:"*";inherits:false}