diff --git a/ui/docs/renderer.md b/ui/docs/renderer.md
index dbcfb47..78c011c 100644
--- a/ui/docs/renderer.md
+++ b/ui/docs/renderer.md
@@ -280,14 +280,25 @@ Lifecycle (`RendererHandle.setPickMode(opts)`):
 
 1. **Open** (`opts !== null`): renderer marks `pickModeActive`,
    sets `alpha = 0.3` on every primitive whose id is neither the
-   source nor in `reachableIds`, mounts an overlay `Graphics` in
-   the origin tile, and subscribes to pointer-move + hover-change
-   + viewport `clicked` + document `keydown`.
+   source nor in `reachableIds`, mounts one overlay `Graphics`
+   per torus copy (nine total — matching the primitive layer's
+   wrap-copy layout), and subscribes to pointer-move +
+   hover-change + viewport `clicked` + document `keydown`. In
+   no-wrap mode the eight non-origin copies are `visible = false`,
+   so their overlay children render nothing automatically.
 2. **Tick** (every pointer-move and hover transition): the
    renderer asks `computePickOverlay(opts, cursorWorld,
-   hoveredId, points, allIds)` (`src/map/pick-mode.ts`) for a
-   draw spec — anchor ring + cursor line + optional hover
-   outline + dim set — and re-paints the overlay.
+   hoveredId, points, allIds, world)` (`src/map/pick-mode.ts`)
+   for a draw spec — anchor ring + cursor line + optional hover
+   outline + dim set — and re-paints every overlay graphic with
+   the same world-coord ops. Each copy's container already
+   applies its `(dx*W, dy*H)` transform, so the overlay shows in
+   whatever tile the user is panned over. In torus mode the
+   `world` argument switches the cursor-line endpoint to
+   `(sourceX + torusShortestDelta(...), sourceY + ...)` so the
+   line takes the short wrap path; anchor and hover-outline
+   coordinates stay canonical — the per-copy replication renders
+   them under the user's view in the matching tile.
 3. **Resolve**: a click on a primitive whose id is in
    `reachableIds` calls `opts.onPick(id)` and tears down. A click
    on empty space or a non-reachable primitive is a no-op