diff --git a/docs/site/css/style.css b/docs/site/css/style.css
index 453c8eb..20be272 100644
--- a/docs/site/css/style.css
+++ b/docs/site/css/style.css
@@ -595,3 +595,57 @@ code { font-size: 0.875em; }
   .js .gates > li.is-on .kill { animation: none; }
 }
 
+
+.loop-svg {
+  position: absolute;
+  inset: 0;
+  width: 100%;
+  height: 100%;
+  overflow: visible;
+  pointer-events: none;
+  z-index: 2;
+}
+
+.loop-track {
+  fill: none;
+  stroke: var(--line);
+  stroke-width: 1;
+}
+
+.loop-run {
+  fill: none;
+  stroke: var(--ink);
+  stroke-width: 1.75;
+  stroke-linecap: square;
+  stroke-dashoffset: 0;
+}
+
+.js .gates.is-loop .loop-run {
+  animation: loop-travel 1.7s linear 3 forwards;
+}
+
+@keyframes loop-travel {
+  from { stroke-dashoffset: 0; }
+  to { stroke-dashoffset: calc(-1 * var(--len, 800)); }
+}
+
+.js .gates.is-loop .loop-a::after,
+.js .gates.is-loop .loop-m::after,
+.js .gates.is-loop .loop-z::after {
+  display: none;
+}
+
+.js .gates.is-loop-done .loop-run {
+  stroke-dasharray: none;
+  animation: none;
+  stroke: var(--ink);
+  opacity: 0.35;
+}
+
+@media (prefers-reduced-motion: reduce) {
+  .js .gates.is-loop .loop-run {
+    animation: none;
+    stroke-dasharray: none;
+    opacity: 0.7;
+  }
+}
diff --git a/docs/site/js/main.js b/docs/site/js/main.js
index fda78f8..d35ec47 100644
--- a/docs/site/js/main.js
+++ b/docs/site/js/main.js
@@ -1,4 +1,4 @@
-/* Copy for install. Scroll draws the protocol. No typing. No replay. */
+/* Copy for install. Scroll draws the protocol. The 5→2 path runs as a loop, cap 3. */
 (function () {
   "use strict";
 
@@ -51,6 +51,13 @@
   var gates = document.querySelector(".gates");
   var steps = gates ? Array.prototype.slice.call(gates.querySelectorAll(":scope > li")) : [];
   var blocks = Array.prototype.slice.call(document.querySelectorAll(".block"));
+  var ink = null;
+  var svg = null;
+  var runPath = null;
+  var trackPath = null;
+  var loopStarted = false;
+  var reenter = gates ? gates.querySelector(".reenter") : null;
+  var reenterHome = reenter ? reenter.innerHTML : "";
 
   function paintRail() {
     if (!gates || !ink) return;
@@ -66,7 +73,74 @@
     ink.style.height = Math.max(0, end - top) + "px";
   }
 
-  var ink = null;
+  function loopPathD() {
+    var a = gates.querySelector(".loop-a .n");
+    var z = gates.querySelector(".loop-z .n");
+    if (!a || !z) return "";
+    var gr = gates.getBoundingClientRect();
+    var ar = a.getBoundingClientRect();
+    var zr = z.getBoundingClientRect();
+    var x1 = ar.left - gr.left + ar.width / 2;
+    var y1 = ar.top - gr.top + ar.height / 2;
+    var y2 = zr.top - gr.top + zr.height / 2;
+    var x2 = Math.max(x1 + 40, gates.clientWidth - 24);
+    return "M " + x1 + " " + y1 + " L " + x1 + " " + y2 + " L " + x2 + " " + y2 + " L " + x2 + " " + y1 + " Z";
+  }
+
+  function layoutLoop() {
+    if (!gates || !runPath || !trackPath) return;
+    var d = loopPathD();
+    if (!d) return;
+    trackPath.setAttribute("d", d);
+    runPath.setAttribute("d", d);
+    var len = 0;
+    try { len = runPath.getTotalLength(); } catch (e) { len = 800; }
+    runPath.style.setProperty("--len", String(len));
+    runPath.style.strokeDasharray = "22 " + len;
+  }
+
+  function ensureLoopSvg() {
+    if (!gates || svg) return;
+    svg = document.createElementNS("http://www.w3.org/2000/svg", "svg");
+    svg.setAttribute("class", "loop-svg");
+    svg.setAttribute("aria-hidden", "true");
+    trackPath = document.createElementNS("http://www.w3.org/2000/svg", "path");
+    trackPath.setAttribute("class", "loop-track");
+    runPath = document.createElementNS("http://www.w3.org/2000/svg", "path");
+    runPath.setAttribute("class", "loop-run");
+    svg.appendChild(trackPath);
+    svg.appendChild(runPath);
+    gates.appendChild(svg);
+  }
+
+  function setLap(n, done) {
+    if (!reenter) return;
+    if (done) {
+      reenter.innerHTML = '<span class="arrow">loop</span> 3 / 3 · then 6';
+      return;
+    }
+    reenter.innerHTML = '<span class="arrow">loop</span> ' + n + " / 3 · 5 → 2";
+  }
+
+  function startLoop() {
+    if (!gates || loopStarted || reduce) return;
+    loopStarted = true;
+    ensureLoopSvg();
+    layoutLoop();
+    gates.classList.add("is-loop");
+    setLap(1, false);
+    if (!runPath) return;
+    var lap = 1;
+    runPath.addEventListener("animationiteration", function () {
+      lap += 1;
+      if (lap <= 3) setLap(lap, false);
+    });
+    runPath.addEventListener("animationend", function () {
+      setLap(3, true);
+      gates.classList.add("is-loop-done");
+    });
+  }
+
   if (gates) {
     ink = document.createElement("span");
     ink.className = "rail-ink";
@@ -74,13 +148,12 @@
     gates.appendChild(ink);
   }
 
-  function onStep(li, vis) {
-    if (vis) li.classList.add("is-on");
+  function onStep() {
     if (gates) {
       var loopOn = steps.some(function (s) {
         return s.classList.contains("loop-z") && s.classList.contains("is-on");
       });
-      gates.classList.toggle("is-loop", loopOn);
+      if (loopOn) startLoop();
     }
     paintRail();
   }
@@ -88,7 +161,12 @@
   if (reduce) {
     steps.forEach(function (li) { li.classList.add("is-on"); });
     blocks.forEach(function (b) { b.classList.add("is-on"); });
-    if (gates) gates.classList.add("is-loop");
+    if (gates) {
+      ensureLoopSvg();
+      layoutLoop();
+      gates.classList.add("is-loop");
+      gates.classList.add("is-loop-done");
+    }
     paintRail();
     return;
   }
@@ -98,7 +176,7 @@
       entries.forEach(function (e) {
         if (!e.isIntersecting) return;
         e.target.classList.add("is-on");
-        if (e.target.parentElement === gates) onStep(e.target, true);
+        if (e.target.parentElement === gates) onStep();
       });
     }, { threshold: 0.28, rootMargin: "0px 0px -12% 0px" });
     steps.forEach(function (li) { io.observe(li); });
@@ -106,8 +184,11 @@
   } else {
     steps.forEach(function (li) { li.classList.add("is-on"); });
     blocks.forEach(function (b) { b.classList.add("is-on"); });
-    if (gates) gates.classList.add("is-loop");
+    startLoop();
   }
 
-  window.addEventListener("resize", paintRail);
+  window.addEventListener("resize", function () {
+    paintRail();
+    layoutLoop();
+  });
 })();