diff --git a/docs/interface/flow-editor.md b/docs/interface/flow-editor.md
index e188169..56d2620 100644
--- a/docs/interface/flow-editor.md
+++ b/docs/interface/flow-editor.md
@@ -5,7 +5,9 @@ the connections and arranges the canvas for you.
 
 ## The canvas
 
-The graph runs left to right on desktop and top to bottom on phones.
+The graph runs left to right on desktop and top to bottom on phones. On a
+phone, at most two nodes sit side by side and the rest wrap onto the rows
+below, so a large flow grows downwards in one column.
 
 - **Nodes** show their execution status.
 - **Edges** are routed around the nodes, a loop back to an earlier node
diff --git a/frontend/src/components/Flow/layout.check.ts b/frontend/src/components/Flow/layout.check.ts
index d96ff15..8876f68 100644
--- a/frontend/src/components/Flow/layout.check.ts
+++ b/frontend/src/components/Flow/layout.check.ts
@@ -270,6 +270,38 @@ for (const [y, count] of rows) {
   )
 }
 
+/**
+ * A hub read by eight readers, each feeding a sink of its own: the shape of
+ * the Demo's house and its dashboards. Wrapped two abreast with straight
+ * edges, each row landed where its edges pulled it and the graph staircased
+ * to 1400px across. Centred, the rows stack into one column.
+ */
+const readers = Array.from({ length: 8 }, (_, i) => `r${i}`)
+const hub = await layoutGraph(
+  ["hub", ...readers, ...readers.map((r) => `${r}.sink`)],
+  readers.flatMap((r) => [
+    { id: r, source: "hub", target: r, sourceHandle: "v", targetHandle: "v" },
+    {
+      id: `${r}.sink`,
+      source: r,
+      target: `${r}.sink`,
+      sourceHandle: "v",
+      targetHandle: "v",
+    },
+  ]),
+  "TB",
+  new Map(
+    ["hub", ...readers, ...readers.map((r) => `${r}.sink`)].map((id) => [
+      id,
+      one("v"),
+    ]),
+  ),
+)
+const hubX = [...hub.positions.values()].map((at) => at.x)
+const across = Math.max(...hubX) + 220 - Math.min(...hubX)
+// Three nodes and their gaps: one more than the two a row holds.
+assert.ok(across <= 3 * 260, `a wrapped graph runs ${across}px across`)
+
 /**
  * Every edge comes back routed, port to port, square, and around what is in
  * the way. `back` closes a cycle over `mid`: drawn straight between its two
diff --git a/frontend/src/components/Flow/layout.ts b/frontend/src/components/Flow/layout.ts
index d540c72..61ca7cb 100644
--- a/frontend/src/components/Flow/layout.ts
+++ b/frontend/src/components/Flow/layout.ts
@@ -114,6 +114,27 @@ const ABREAST = 2
  */
 const WRAP_PASSES = 6
 
+/**
+ * How wide a wrapped graph may still be before its ranks are centred.
+ *
+ * Wrapping keeps a rank to `ABREAST` nodes, but the layout straightens edges,
+ * so each wrapped row lands where its edges pull it: the rows staircase
+ * sideways, and a big flow ended up thousands of pixels across on a phone.
+ * Past one node more than the rows allow, every rank is centred instead, which
+ * stacks the rows into one column. Below it the straight edges are worth more,
+ * which is the case for a flow that wraps a rank or two.
+ */
+const TOO_WIDE = (ABREAST + 1) * (NODE_W + NODE_GAP)
+
+/**
+ * Room for a value chip when the ranks are centred, running downwards.
+ *
+ * Centring packs a rank's chips together where the edges meet in the middle,
+ * so with no width at all they piled onto each other. This is a number's
+ * worth: a longer value overlaps its neighbour rather than widening the graph.
+ */
+const CENTRED_LABEL_W = 60
+
 /**
  * What a node is, as far as the layout is concerned.
  *
@@ -200,6 +221,7 @@ function graphOf(
   direction: Direction,
   shapes: Map<string, NodeShape>,
   wrap: Wrap[],
+  centred: boolean,
 ): ElkNode {
   const across = direction === "LR"
   // A port is identified by the side it is on as well as by its name: a node
@@ -279,6 +301,16 @@ function graphOf(
       // The default, set out loud: the same flow has to lay out the same way
       // every time it is opened.
       "org.eclipse.elk.randomSeed": "1",
+      // See `TOO_WIDE`. Every rank is centred on one axis, so a wrapped row
+      // sits under the row above rather than where its edges pull it. What
+      // bends the edges then takes room down the channels between the ranks,
+      // so the runs there sit closer together.
+      ...(centred
+        ? {
+            "org.eclipse.elk.layered.nodePlacement.strategy": "SIMPLE",
+            "org.eclipse.elk.layered.spacing.edgeEdgeBetweenLayers": "6",
+          }
+        : {}),
     },
     children,
     edges: [
@@ -300,7 +332,7 @@ function graphOf(
             // Only where it lands is read — `LiveEdge` draws the chip itself —
             // but a label with no text at all is one ELK reserves no room for.
             text: " ",
-            width: across ? LABEL_W : 0,
+            width: across ? LABEL_W : centred ? CENTRED_LABEL_W : 0,
             height: LABEL_H,
             layoutOptions: { "org.eclipse.elk.edgeLabels.inline": "true" },
           },
@@ -378,9 +410,9 @@ export async function layoutGraph(
   shapes: Map<string, NodeShape> = new Map(),
 ): Promise<Layout> {
   const engine = await elk()
-  const place = async (wrap: Wrap[]) => {
+  const place = async (wrap: Wrap[], centred = false) => {
     const laid = await engine.layout(
-      graphOf(ids, edges, direction, shapes, wrap),
+      graphOf(ids, edges, direction, shapes, wrap, centred),
     )
     const placed = new Map<string, Point>()
     for (const child of laid.children ?? []) {
@@ -404,6 +436,10 @@ export async function layoutGraph(
       wrap.push(...more)
       ;({ placed, laid } = await place(wrap))
     }
+    const [left, right] = extentOf(placed, shapes, direction)
+    if (wrap.length && right - left > TOO_WIDE) {
+      ;({ placed, laid } = await place(wrap, true))
+    }
   }
 
   // ELK places top-left corners already, which is what React Flow wants, and
@@ -413,14 +449,7 @@ export async function layoutGraph(
   )
   const wired = wiredOf(ids, edges)
   // How far across the nodes reach, for `longestRun`.
-  let [left, right] = [Number.POSITIVE_INFINITY, Number.NEGATIVE_INFINITY]
-  for (const [id, at] of positions) {
-    left = Math.min(left, at.x)
-    right = Math.max(
-      right,
-      at.x + sizeOf(shapes.get(id) ?? EMPTY, direction).width,
-    )
-  }
+  const [left, right] = extentOf(positions, shapes, direction)
   const routes = new Map<string, Route>()
   for (const edge of laid.edges ?? []) {
     const index = Number(edge.id.slice(1))
@@ -453,6 +482,23 @@ export async function layoutGraph(
   return { positions, routes }
 }
 
+/** The leftmost and rightmost x any node reaches. */
+function extentOf(
+  placed: Map<string, Point>,
+  shapes: Map<string, NodeShape>,
+  direction: Direction,
+): [number, number] {
+  let [left, right] = [Number.POSITIVE_INFINITY, Number.NEGATIVE_INFINITY]
+  for (const [id, at] of placed) {
+    left = Math.min(left, at.x)
+    right = Math.max(
+      right,
+      at.x + sizeOf(shapes.get(id) ?? EMPTY, direction).width,
+    )
+  }
+  return [left, right]
+}
+
 /**
  * The middle of a route's longest run across the flow, running downwards.
  *