diff --git a/ui/frontend/src/map/render.ts b/ui/frontend/src/map/render.ts
index 3c6461b..9664faa 100644
--- a/ui/frontend/src/map/render.ts
+++ b/ui/frontend/src/map/render.ts
@@ -253,18 +253,35 @@ export type FogPaintOp =
  * overlapping circles (the symptom was a handful of disconnected
  * arc segments instead of a clean union).
  *
+ * `mode` controls the torus-wrap behaviour:
+ *
+ *   - `"torus"`: every visibility circle is also drawn at the eight
+ *     wrapped positions (±width, ±height) so the circle remains
+ *     visually continuous when its painted area extends past the
+ *     world rectangle into a neighbouring tile — without the wraps
+ *     the next tile's fog rectangle overpaints the bleed, producing
+ *     a "sector" artifact at the seam.
+ *   - `"no-wrap"`: only the planet's own position is drawn. The
+ *     wrapped positions would create extra holes inside the world
+ *     rectangle when a planet sits near an edge (the user can never
+ *     pan past the boundary in no-wrap mode, but the wrapped circle
+ *     could still leak into the visible area).
+ *
  * Empty `circles` returns an empty list — the caller skips fog
  * rendering entirely. Width/height ≤ 0 also returns empty so a
- * degenerate world cannot produce a non-emit op set.
+ * degenerate world cannot produce a non-empty op set.
  */
 export function fogPaintOps(
 	world: { width: number; height: number },
 	circles: ReadonlyArray<{ x: number; y: number; radius: number }>,
 	fogColor: number,
 	bgColor: number,
+	mode: WrapMode,
 ): FogPaintOp[] {
 	if (circles.length === 0) return [];
 	if (world.width <= 0 || world.height <= 0) return [];
+	const offsets: ReadonlyArray<readonly [number, number]> =
+		mode === "torus" ? TORUS_OFFSETS : ORIGIN_ONLY_OFFSET;
 	const ops: FogPaintOp[] = [
 		{
 			kind: "fillRect",
@@ -277,18 +294,22 @@ export function fogPaintOps(
 		},
 	];
 	for (const c of circles) {
-		ops.push({
-			kind: "fillCircle",
-			x: c.x,
-			y: c.y,
-			radius: c.radius,
-			color: bgColor,
-			alpha: 1,
-		});
+		for (const [dx, dy] of offsets) {
+			ops.push({
+				kind: "fillCircle",
+				x: c.x + dx * world.width,
+				y: c.y + dy * world.height,
+				radius: c.radius,
+				color: bgColor,
+				alpha: 1,
+			});
+		}
 	}
 	return ops;
 }
 
+const ORIGIN_ONLY_OFFSET: ReadonlyArray<readonly [number, number]> = [[0, 0]];
+
 export async function createRenderer(opts: RendererOptions): Promise<RendererHandle> {
 	const theme = opts.theme ?? DARK_THEME;
 	const preference = opts.preference ?? ["webgpu", "webgl"];
@@ -347,12 +368,17 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 	// renderer-internal hit-test sites (pointer-move, clicked) and the
 	// external `handle.hitAt` thread it through `hitTest`.
 	let hiddenIds: ReadonlySet<PrimitiveID> = EMPTY_HIDDEN_IDS;
-	// Per-copy fog Graphics for the Phase 29 visibility fog overlay.
-	// Created lazily when `setVisibilityFog` first receives a
-	// non-empty list; cleared (and destroyed) when the list goes
-	// empty again. Each fog Graphics is inserted at index 0 of its
-	// torus copy so primitives paint on top.
-	let fogGraphics: Graphics[] = [];
+	// Per-copy fog Containers for the Phase 29 visibility fog
+	// overlay. Each container holds one `Graphics` per
+	// `FogPaintOp` (fog rect + one bg-coloured circle per
+	// visibility circle × wrap position), inserted at index 0 of
+	// the torus copy so primitives paint on top. Created lazily
+	// when `setVisibilityFog` first receives a non-empty list and
+	// destroyed wholesale on every subsequent call — Pixi v8's
+	// multi-shape Graphics is supported in theory, but stacking
+	// each fill on its own Graphics removes any risk of an
+	// internal-state regression dropping a layer.
+	let fogGraphics: Container[] = [];
 	const applyHiddenStateTo = (id: PrimitiveID, list: Graphics[]): void => {
 		const visible = !hiddenIds.has(id);
 		for (const g of list) g.visible = visible;
@@ -778,12 +804,14 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 		},
 		isPrimitiveHidden: (id) => hiddenIds.has(id),
 		setVisibilityFog: (circles) => {
-			// Drop the old fog Graphics first — every flip rebuilds
+			// Drop the old fog Containers first — every flip rebuilds
 			// from scratch instead of mutating in place, so the
 			// implementation stays simple and Pixi-v8-residue-free.
-			for (const g of fogGraphics) {
-				g.parent?.removeChild(g);
-				g.destroy();
+			// `destroy({children: true})` propagates to every owned
+			// Graphics inside the Container.
+			for (const c of fogGraphics) {
+				c.parent?.removeChild(c);
+				c.destroy({ children: true });
 			}
 			fogGraphics = [];
 			const ops = fogPaintOps(
@@ -791,23 +819,32 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 				circles,
 				FOG_COLOR,
 				theme.background,
+				mode,
 			);
 			if (ops.length === 0) return;
 			for (const copy of copies) {
-				const g = new Graphics();
+				const container = new Container();
+				// One Graphics per op — the fog rect first, then every
+				// background-coloured circle on top. Per-shape Graphics
+				// removes any risk of multi-shape Pixi quirks dropping a
+				// layer (the previous all-in-one Graphics implementation
+				// surfaced exactly that symptom in DEV — only the last
+				// planet's glyph stayed visible inside the bg holes).
 				for (const op of ops) {
+					const g = new Graphics();
 					if (op.kind === "fillRect") {
 						g.rect(op.x, op.y, op.width, op.height);
 					} else {
 						g.circle(op.x, op.y, op.radius);
 					}
 					g.fill({ color: op.color, alpha: op.alpha });
+					container.addChild(g);
 				}
 				// Fog sits below every primitive on the same copy so
 				// planet glyphs paint on top. `addChildAt(g, 0)` keeps
 				// the rest of the children's order intact.
-				copy.addChildAt(g, 0);
-				fogGraphics.push(g);
+				copy.addChildAt(container, 0);
+				fogGraphics.push(container);
 			}
 		},
 		resize: (w, h) => {
@@ -833,12 +870,12 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 				previous?.onPick(null);
 			}
 			// `app.destroy({...children: true})` below would also walk
-			// fog graphics, but we drop them eagerly so the closure
+			// fog containers, but we drop them eagerly so the closure
 			// reference clears even if a future caller queries the
 			// renderer mid-dispose.
-			for (const g of fogGraphics) {
-				g.parent?.removeChild(g);
-				g.destroy();
+			for (const c of fogGraphics) {
+				c.parent?.removeChild(c);
+				c.destroy({ children: true });
 			}
 			fogGraphics = [];
 			viewport.off("moved", enforceCentreWhenLarger);
diff --git a/ui/frontend/tests/fog-paint-ops.test.ts b/ui/frontend/tests/fog-paint-ops.test.ts
index 6da4a7e..57a178a 100644
--- a/ui/frontend/tests/fog-paint-ops.test.ts
+++ b/ui/frontend/tests/fog-paint-ops.test.ts
@@ -1,10 +1,12 @@
 // Phase 29 unit coverage for the Phase 29 fog overlay's layered
 // overpaint logic. `fogPaintOps` lives in `src/map/render.ts` next
 // to its sole consumer (`RendererHandle.setVisibilityFog`) — the
-// renderer dispatches each op straight onto a Pixi `Graphics`, so
-// the unit test exercises the public ordering contract: a single
-// fog-coloured rectangle followed by one background-coloured
-// circle per visibility entry. The natural rendering order unions
+// renderer dispatches each op straight onto its own Pixi `Graphics`
+// (one per shape) inside a per-copy `Container`, so the unit test
+// exercises the public ordering contract: a single fog-coloured
+// rectangle followed by one background-coloured circle per
+// visibility entry (multiplied by the torus wrap offsets when the
+// renderer is in torus mode). The natural rendering order unions
 // overlapping circles for free, replacing the earlier `cut()`
 // implementation that produced disconnected arc segments.
 
@@ -15,9 +17,9 @@ import { FOG_COLOR, fogPaintOps } from "../src/map/render";
 const BG_COLOR = 0x0a0e1a;
 const WORLD = { width: 1000, height: 800 };
 
-describe("fogPaintOps", () => {
+describe("fogPaintOps — no-wrap mode", () => {
 	test("empty input returns no ops", () => {
-		expect(fogPaintOps(WORLD, [], FOG_COLOR, BG_COLOR)).toEqual([]);
+		expect(fogPaintOps(WORLD, [], FOG_COLOR, BG_COLOR, "no-wrap")).toEqual([]);
 	});
 
 	test("single circle emits fog rect + one bg circle in that order", () => {
@@ -26,6 +28,7 @@ describe("fogPaintOps", () => {
 			[{ x: 100, y: 200, radius: 50 }],
 			FOG_COLOR,
 			BG_COLOR,
+			"no-wrap",
 		);
 		expect(ops).toEqual([
 			{
@@ -58,12 +61,12 @@ describe("fogPaintOps", () => {
 			],
 			FOG_COLOR,
 			BG_COLOR,
+			"no-wrap",
 		);
 		expect(ops.length).toBe(4);
 		expect(ops[0].kind).toBe("fillRect");
 		for (let i = 1; i < ops.length; i++) {
 			expect(ops[i].kind).toBe("fillCircle");
-			// Background-coloured circles paint on top of the fog rect.
 			const op = ops[i];
 			if (op.kind === "fillCircle") {
 				expect(op.color).toBe(BG_COLOR);
@@ -72,43 +75,6 @@ describe("fogPaintOps", () => {
 		}
 	});
 
-	test("overlapping circles are emitted independently — the rendering order unions them", () => {
-		// Two overlapping circles around adjacent LOCAL planets — the
-		// op list keeps both circles. The renderer relies on the
-		// overpaint to merge them visually; `cut()` (the previous
-		// implementation) miscomputed the union.
-		const ops = fogPaintOps(
-			WORLD,
-			[
-				{ x: 200, y: 200, radius: 100 },
-				{ x: 250, y: 200, radius: 100 },
-			],
-			FOG_COLOR,
-			BG_COLOR,
-		);
-		expect(ops.length).toBe(3);
-		expect(ops[1]).toMatchObject({ x: 200, y: 200, radius: 100 });
-		expect(ops[2]).toMatchObject({ x: 250, y: 200, radius: 100 });
-	});
-
-	test("the fog rect always covers the full world rectangle", () => {
-		const ops = fogPaintOps(
-			{ width: 3200, height: 1600 },
-			[{ x: 0, y: 0, radius: 10 }],
-			FOG_COLOR,
-			BG_COLOR,
-		);
-		expect(ops[0]).toEqual({
-			kind: "fillRect",
-			x: 0,
-			y: 0,
-			width: 3200,
-			height: 1600,
-			color: FOG_COLOR,
-			alpha: 1,
-		});
-	});
-
 	test("zero or negative world dimensions return no ops", () => {
 		expect(
 			fogPaintOps(
@@ -116,6 +82,7 @@ describe("fogPaintOps", () => {
 				[{ x: 0, y: 0, radius: 10 }],
 				FOG_COLOR,
 				BG_COLOR,
+				"no-wrap",
 			),
 		).toEqual([]);
 		expect(
@@ -124,7 +91,85 @@ describe("fogPaintOps", () => {
 				[{ x: 0, y: 0, radius: 10 }],
 				FOG_COLOR,
 				BG_COLOR,
+				"no-wrap",
 			),
 		).toEqual([]);
 	});
 });
+
+describe("fogPaintOps — torus mode", () => {
+	test("each circle is emitted at nine wrapped positions", () => {
+		const ops = fogPaintOps(
+			WORLD,
+			[{ x: 100, y: 200, radius: 50 }],
+			FOG_COLOR,
+			BG_COLOR,
+			"torus",
+		);
+		// 1 fog rect + 9 wrapped circles.
+		expect(ops.length).toBe(10);
+		expect(ops[0].kind).toBe("fillRect");
+		const positions = ops
+			.slice(1)
+			.map((op) => (op.kind === "fillCircle" ? `${op.x},${op.y}` : ""))
+			.sort();
+		// Every neighbour offset is emitted with width=1000 / height=800.
+		const expected: string[] = [];
+		for (const dx of [-1, 0, 1]) {
+			for (const dy of [-1, 0, 1]) {
+				expected.push(`${100 + dx * 1000},${200 + dy * 800}`);
+			}
+		}
+		expected.sort();
+		expect(positions).toEqual(expected);
+	});
+
+	test("multiple circles produce 9 × N wrapped circles after the fog rect", () => {
+		const ops = fogPaintOps(
+			WORLD,
+			[
+				{ x: 100, y: 100, radius: 50 },
+				{ x: 700, y: 600, radius: 30 },
+			],
+			FOG_COLOR,
+			BG_COLOR,
+			"torus",
+		);
+		// 1 fog rect + (9 wraps × 2 circles) = 19 ops.
+		expect(ops.length).toBe(19);
+		expect(ops[0].kind).toBe("fillRect");
+		// Each circle keeps its own radius across every wrap.
+		const radii = ops
+			.slice(1)
+			.map((op) => (op.kind === "fillCircle" ? op.radius : 0))
+			.filter((r) => r > 0);
+		expect(radii.filter((r) => r === 50).length).toBe(9);
+		expect(radii.filter((r) => r === 30).length).toBe(9);
+	});
+
+	test("a circle near the right edge produces a wrapped copy past the seam", () => {
+		// Planet at (950, 400) with radius 300 — the painted area
+		// extends to x = 1250 in the central tile. In torus mode the
+		// renderer also draws a wrapped circle at (950 - 1000, 400) =
+		// (-50, 400) so the next tile (with its own fog rect) keeps a
+		// matching unfogged hole at the seam — this is the fix for
+		// the "sector" artifact at the wrap boundary.
+		const ops = fogPaintOps(
+			WORLD,
+			[{ x: 950, y: 400, radius: 300 }],
+			FOG_COLOR,
+			BG_COLOR,
+			"torus",
+		);
+		const xs = ops
+			.slice(1)
+			.map((op) => (op.kind === "fillCircle" ? op.x : 0));
+		expect(xs).toContain(-50);
+		expect(xs).toContain(950);
+		expect(xs).toContain(1950);
+	});
+
+	test("empty input still returns no ops in torus mode", () => {
+		expect(fogPaintOps(WORLD, [], FOG_COLOR, BG_COLOR, "torus")).toEqual([]);
+	});
+});