diff --git a/NOTEPAD.md b/NOTEPAD.md
index f1aa85a..b6a8b32 100644
--- a/NOTEPAD.md
+++ b/NOTEPAD.md
@@ -190,6 +190,8 @@ as an em dash.
 - CHORE/UX: free-form params (python nodes) get no suggestions, since there is no schema to key them off.
 - PERF/UI: `BrainView` runs 300 force-layout ticks synchronously inside a `useMemo`, so the graph is laid out on the render thread.
 - FEAT/UI: the brain is a band on a scrolling page now, so it neither pans nor zooms — the fit keeps the whole graph in view instead. An installation with enough flows to make the labels unreadable at that fit needs a way to open the graph larger.
+- CHORE/UI: React Flow measures a node's handle bounds out of the DOM once and never again, and in the brain that one measurement falls inside the graph's `scaleIn` entrance — so every `sourceX`/`targetX` it hands an edge there is the entrance's 4% short of the centre, permanently. `BrainEdge` takes both ends from the layout instead (position + radius). Any future view that mounts a canvas inside a transform and reads node internals meets the same thing.
+- CHORE/UI: a value passing lights the brain's connection blue for the pulse, but its two end dots only follow the slower falloff, so the flash stops where the line does.
 - CHORE/UI: `flow.css` drops the focus outline on every `.react-flow__node`. Brain neurons now answer `:focus-visible` with the same border colour as hover, but the flow editor's own nodes still have no visible keyboard focus.
 
 ### Infrastructure
diff --git a/frontend/src/components/Flow/BrainEdge.tsx b/frontend/src/components/Flow/BrainEdge.tsx
index 4b2c1bb..554a4b5 100644
--- a/frontend/src/components/Flow/BrainEdge.tsx
+++ b/frontend/src/components/Flow/BrainEdge.tsx
@@ -1,4 +1,4 @@
-import { BaseEdge, type EdgeProps } from "@xyflow/react"
+import { BaseEdge, type EdgeProps, useInternalNode } from "@xyflow/react"
 import { memo, useEffect, useRef, useState } from "react"
 
 import { duration } from "@/lib/motion"
@@ -8,54 +8,20 @@ import { useLatestTs } from "./liveStore"
 export type BrainEdgeData = {
   /** Every message this connection carries, qualified. */
   messages: string[]
-  /** Circle radii of the two neurons, so the line can stop at their rims. */
+  /** Circle radii of the two neurons: their centres, and where the line stops. */
   sourceRadius: number
   targetRadius: number
   [key: string]: unknown
 }
 
-/** Arrowhead barb length, and how far its tip stops short of the target rim. */
-const HEAD = 7
-const RIM_GAP = 3
-
 /**
- * A line from rim to rim, with an arrowhead at the end it flows into.
+ * Radius of the dot that marks where the connection meets a neuron.
  *
- * Both handles sit at a neuron's centre, so the raw path runs under both
- * circles: it looks off-centre wherever the circles differ in size, and it says
- * nothing about which way the value travels. The barbs are two more segments of
- * the same stroked path rather than an SVG marker, so they dim with the line
- * they belong to instead of needing a fill of their own.
+ * A flow node's port handle is 12px across on a node some four times that; a
+ * neuron is 32px at its smallest, so the same proportion lands at 8px — small
+ * enough that several connections into one small neuron stay separate dots.
  */
-function rimPath(
-  sourceX: number,
-  sourceY: number,
-  targetX: number,
-  targetY: number,
-  sourceRadius: number,
-  targetRadius: number,
-): string {
-  const length = Math.hypot(targetX - sourceX, targetY - sourceY) || 1
-  const unitX = (targetX - sourceX) / length
-  const unitY = (targetY - sourceY) / length
-  // Neither trim reaches past the midpoint, so two neurons closer together than
-  // their radii still get a line pointing the right way rather than a backwards
-  // one. The force layout keeps them apart; this only stops it looking broken.
-  const from = Math.min(sourceRadius, length / 2)
-  const to = Math.min(targetRadius + RIM_GAP, length - from)
-  const startX = sourceX + unitX * from
-  const startY = sourceY + unitY * from
-  const tipX = targetX - unitX * to
-  const tipY = targetY - unitY * to
-  const line = `M${startX},${startY}L${tipX},${tipY}`
-  if (length - from - to < HEAD) return line
-
-  const backX = tipX - unitX * HEAD
-  const backY = tipY - unitY * HEAD
-  const spreadX = (-unitY * HEAD) / 2
-  const spreadY = (unitX * HEAD) / 2
-  return `${line}M${backX + spreadX},${backY + spreadY}L${tipX},${tipY}L${backX - spreadX},${backY - spreadY}`
-}
+const DOT = 4
 
 /**
  * A connection between neurons, lit by whatever passes along it.
@@ -63,32 +29,53 @@ function rimPath(
  * `LiveEdge` without the value chip or the producer check: a neuron can stand
  * for several nodes, so "did *this* node publish it" has no answer here, and a
  * circle the size of a coin has no room for a payload anyway.
+ *
+ * It runs centre to centre, so the line trims itself back to the two rims and
+ * then further, to clear the dot that sits on each of them: a flow node's port,
+ * filled where the value leaves and hollow where it arrives. The dots belong to
+ * the edge rather than to the node because a neuron meets its connections all
+ * round its rim, not at two fixed points — and being part of the edge is also
+ * what makes them dim along with it.
  */
-function BrainEdgeComponent({
-  id,
-  sourceX,
-  sourceY,
-  targetX,
-  targetY,
-  data,
-}: EdgeProps) {
+function BrainEdgeComponent({ id, source, target, data }: EdgeProps) {
   const { messages, sourceRadius, targetRadius } = (data ?? {
     messages: [],
     sourceRadius: 0,
     targetRadius: 0,
   }) as BrainEdgeData
+  const sourceNode = useInternalNode(source)
+  const targetNode = useInternalNode(target)
   const ts = useLatestTs(messages)
   const [pulsing, setPulsing] = useState(false)
   const lastTs = useRef(0)
 
-  const path = rimPath(
-    sourceX,
-    sourceY,
-    targetX,
-    targetY,
-    sourceRadius,
-    targetRadius,
-  )
+  // The two centres, taken from the layout rather than from the `sourceX`/
+  // `targetX` React Flow hands an edge. Those come off the handles, which it
+  // measures out of the DOM exactly once per node — and here that once falls
+  // inside the graph's entrance scale, so every one of them is stored a few
+  // percent short of the centre and never measured again. A node's position
+  // plus its radius is the same point, exactly, with nothing measured at all.
+  const sourceX = (sourceNode?.internals.positionAbsolute.x ?? 0) + sourceRadius
+  const sourceY = (sourceNode?.internals.positionAbsolute.y ?? 0) + sourceRadius
+  const targetX = (targetNode?.internals.positionAbsolute.x ?? 0) + targetRadius
+  const targetY = (targetNode?.internals.positionAbsolute.y ?? 0) + targetRadius
+  const length = Math.hypot(targetX - sourceX, targetY - sourceY) || 1
+  const unitX = (targetX - sourceX) / length
+  const unitY = (targetY - sourceY) / length
+  // Neither trim reaches past the midpoint, so two neurons closer together than
+  // their radii still get a line pointing the right way rather than a backwards
+  // one. The force layout keeps them apart; this only stops it looking broken.
+  const from = Math.min(sourceRadius, length / 2)
+  const to = Math.min(targetRadius, length - from)
+  const startX = sourceX + unitX * from
+  const startY = sourceY + unitY * from
+  const endX = targetX - unitX * to
+  const endY = targetY - unitY * to
+  // The line stops at each dot rather than running under it, so a filled dot is
+  // one flat tone instead of a disc with a darker line showing through half of
+  // it. Never longer than the gap, or a short connection would draw backwards.
+  const trim = Math.min(DOT, (length - from - to) / 2)
+  const path = `M${startX + unitX * trim},${startY + unitY * trim}L${endX - unitX * trim},${endY - unitY * trim}`
 
   useEffect(() => {
     if (!ts || ts === lastTs.current) return
@@ -99,16 +86,28 @@ function BrainEdgeComponent({
   }, [ts])
 
   return (
-    <BaseEdge
-      id={id}
-      path={path}
+    // The tone lives on the group so the line and both dots share one falloff.
+    <g
       className={cn(
-        "brain-edge",
+        "brain-wire",
         // Nothing seen yet this session is not the same as seen and gone quiet.
         ts === 0 && "brain-idle",
-        pulsing && "brain-hot edge-live",
+        pulsing && "brain-hot",
       )}
-    />
+    >
+      <BaseEdge
+        id={id}
+        path={path}
+        className={cn("brain-edge", pulsing && "edge-live")}
+      />
+      <circle
+        className="brain-dot brain-dot-out"
+        cx={startX}
+        cy={startY}
+        r={DOT}
+      />
+      <circle className="brain-dot" cx={endX} cy={endY} r={DOT} />
+    </g>
   )
 }
 
diff --git a/frontend/src/components/Flow/BrainView.tsx b/frontend/src/components/Flow/BrainView.tsx
index cc51630..8658941 100644
--- a/frontend/src/components/Flow/BrainView.tsx
+++ b/frontend/src/components/Flow/BrainView.tsx
@@ -108,8 +108,8 @@ function build(graph: BrainGraph): { nodes: Node[]; edges: Edge[] } {
     .stop()
     .tick(300)
 
-  // Both of an edge's handles sit at a neuron's centre, so the edge is what has
-  // to trim itself back to the rims; the radius is only known here.
+  // An edge draws itself from the two centres outwards, so it needs the radius
+  // to find the rims — and the size that fixes it is only known here.
   const radius = new Map(placed.map((node) => [node.id, node.size / 2]))
 
   return {
diff --git a/frontend/src/components/Flow/flow.css b/frontend/src/components/Flow/flow.css
index c57cf86..48487ea 100644
--- a/frontend/src/components/Flow/flow.css
+++ b/frontend/src/components/Flow/flow.css
@@ -114,8 +114,10 @@
 }
 
 /*
- * Brain graph. Both ends of a connection sit at the neuron's centre, which is
- * what `BrainEdge` measures its rim trim and its arrowhead from.
+ * Brain graph. A neuron meets its connections all round its rim, so these two
+ * handles are only there to make React Flow treat the node as wired at all —
+ * where a connection actually lands is `BrainEdge`'s own geometry, measured
+ * from the centre they sit at.
  */
 .brain-handle {
   opacity: 0;
@@ -213,24 +215,56 @@
   visibility: visible;
 }
 
-/* The same falloff as the neurons, on the line instead of the disc. */
+/*
+ * The same falloff as the neurons, on the connection instead of the disc. It
+ * carries the line and its two end dots alike, so the ink is a variable on the
+ * group they share rather than a stroke on each.
+ */
+.brain-wire {
+  --brain-ink: color-mix(in srgb, var(--muted-foreground) 38%, transparent);
+}
+
+.brain-wire.brain-idle {
+  --brain-ink: color-mix(in srgb, var(--muted-foreground) 55%, transparent);
+}
+
+/* Snapped into, decayed out of — never the other way round. */
+.brain-wire.brain-hot {
+  --brain-ink: color-mix(in srgb, var(--muted-foreground) 85%, transparent);
+}
+
 .react-flow__edge-path.brain-edge {
-  stroke: color-mix(in srgb, var(--muted-foreground) 38%, transparent);
+  stroke: var(--brain-ink);
   stroke-linecap: round;
   stroke-linejoin: round;
 }
 
-.react-flow__edge-path.brain-edge.brain-idle {
-  stroke: color-mix(in srgb, var(--muted-foreground) 55%, transparent);
+/*
+ * Where a connection meets a neuron: a flow node's port, sat on the rim the same
+ * way, but told apart by direction — filled at the end the value leaves, hollow
+ * at the end it arrives. The hollow one takes the surface the band sits flat on,
+ * so it reads as a hole rather than as a disc of its own.
+ */
+.brain-dot {
+  fill: var(--card);
+  stroke: var(--brain-ink);
+  stroke-width: 1.5;
 }
 
-.react-flow__edge-path.brain-edge.brain-hot {
-  stroke: color-mix(in srgb, var(--muted-foreground) 85%, transparent);
-  transition: none;
+.brain-dot.brain-dot-out {
+  fill: var(--brain-ink);
 }
 
 @media (prefers-reduced-motion: no-preference) {
-  .react-flow__edge-path.brain-edge {
-    transition: stroke var(--brain-decay) linear;
+  .react-flow__edge-path.brain-edge,
+  .brain-dot {
+    transition:
+      stroke var(--brain-decay) linear,
+      fill var(--brain-decay) linear;
+  }
+
+  .brain-wire.brain-hot .react-flow__edge-path.brain-edge,
+  .brain-wire.brain-hot .brain-dot {
+    transition: none;
   }
 }