ui/docs/renderer.md

@@ -73,14 +73,17 @@ and `displayPointRadiusWorld` (in `src/map/world.ts`) compute those
 world-space values; the hit-test reads the same helpers so the click
 zone always matches the visible footprint.
 
-`style.pointRadiusWorld` is the alternative sizing rule for planet
+`style.pointRadiusBasePx` is the alternative sizing rule for planet
 discs with a known `size`: the renderer treats the base radius as
-world units and softens its growth with the camera scale through
-`PLANET_SIZE_ZOOM_ALPHA` (0.33). At `scale = scaleRef` (the
-"whole world fits the viewport" zoom) the visible radius equals the
-base radius; zooming in grows it sub-linearly so on-screen pixel
-size scales as `scale^α`. Setting both `pointRadiusWorld` and
-`pointRadiusPx` ignores the pixel-space field.
+on-screen pixels **at the reference scale** and grows its on-screen
+pixel size with the camera scale through `PLANET_SIZE_ZOOM_ALPHA`
+(0.33). At `scale = scaleRef` (the "whole world fits the viewport"
+zoom) the visible disc reads at `pointRadiusBasePx` screen pixels;
+zooming in grows it as `scale^α` instead of linearly. This keeps
+known-size planets sane on every world rectangle — a 4000×4000 map
+and a 100×100 map both default to the same on-screen size. Setting
+both `pointRadiusBasePx` and `pointRadiusPx` ignores the pixel-space
+field.
 
 Default hit slop in screen pixels: point=8, circle=6, line=6.
 These are touch-ergonomic defaults; per-primitive `hitSlopPx > 0`
@@ -168,8 +171,9 @@ Per-primitive distance:
   small ergonomic margin on top. `visibleRadiusWorld` comes from
   `displayPointRadiusWorld` (F8-12 / #28 + #31): pixel-space
   `pointRadiusPx / scale` for unidentified planets and most ship
-  groups, softened-by-zoom `pointRadiusWorld * (scale / scaleRef)^(α-1)`
-  for planets with a known `size`. `pointRadiusPx` defaults to
+  groups, softened-by-zoom
+  `pointRadiusBasePx * (scale / scaleRef)^α / scale` for planets
+  with a known `size`. `pointRadiusPx` defaults to
   `DEFAULT_POINT_RADIUS_PX = 3` when neither field is set.
 - **Filled circle**: `distSq ≤ (radius + slopWorld)²` where
   `radius` is in world units. The circle counts as filled when

ui/frontend/src/map/render.ts

@@ -453,29 +453,19 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 		return c;
 	});
 
-	// Outline layer per copy (F8-12 / #30). Sits between the
-	// primitive disc and the labels so the stroke reads against the
-	// planet fill while staying below the textual layer. Each entry
-	// is rebuilt in `updateOutlineTransforms` on every zoom step so
-	// the radius hugs the visible disc.
-	const outlineLayers: Container[] = copies.map((c) => {
-		const layer = new Container();
-		c.addChild(layer);
-		return layer;
-	});
-
-	// Label layer per copy (F8-12 / #29). Labels render above every
-	// primitive so the text reads on top of fog / route lines, and the
-	// per-copy layout mirrors the primitive copies so wrap mode still
-	// shows the labels in whichever torus tile the user is panned over.
-	// Each layer holds one `Container` per planet (built lazily by
-	// `setPlanetLabels`), and we keep the scale + y-offset of those
-	// containers in lock-step with the camera in `updateLabelTransforms`.
-	const labelLayers: Container[] = copies.map((c) => {
-		const layer = new Container();
-		c.addChild(layer);
-		return layer;
-	});
+	// Outline + label layers (F8-12 / #29 + #30). Both live in the
+	// origin copy only — replicating Pixi.Text / Graphics across all
+	// nine torus copies is the dominant cost on a 100+ planet map,
+	// and the player almost never sees a label "wrap" out of the
+	// central tile because the camera-wrap listener snaps the centre
+	// back into `[0, W) × [0, H)` whenever it walks past the seam.
+	// Outlines sit between the primitive disc and the labels so the
+	// stroke reads against the planet fill while staying below the
+	// textual layer.
+	const outlineLayer = new Container();
+	const labelLayer = new Container();
+	copies[ORIGIN_COPY_INDEX].addChild(outlineLayer);
+	copies[ORIGIN_COPY_INDEX].addChild(labelLayer);
 
 	// Per-id `Graphics` lookup. Each primitive lives in nine copies
 	// (one per torus tile); pick-mode dims them by id, so the lookup
@@ -563,19 +553,30 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 		populatePrimitives(p, false);
 	}
 
-	// Planet label state (F8-12 / #29 + #30). The renderer holds one
-	// `Container` per planet per torus copy; text + selection frame
-	// live inside that container. `currentLabels` mirrors the dataset
-	// last passed into `setPlanetLabels` so a zoom-driven transform
-	// update does not need a fresh report.
+	// Planet label state (F8-12 / #29 + #30). One Container per
+	// planet, anchored at the planet's `(x, y)` in the origin copy.
+	// `currentLabels` mirrors the dataset last passed into
+	// `setPlanetLabels` so a zoom-driven transform update does not
+	// need a fresh report.
 	interface LabelGfx {
 		readonly container: Container;
 		readonly frame: Graphics;
 		readonly nameText: Text | null;
 		readonly numberText: Text;
 	}
-	const planetLabelInstances = new Map<number, LabelGfx[]>();
+	const planetLabelInstances = new Map<number, LabelGfx>();
 	let currentLabels: ReadonlyArray<PlanetLabelData> = [];
+	let currentLabelsFingerprint: string | null = null;
+	let currentLabelsSelectedId: number | null = null;
+	const fingerprintPlanetLabels = (
+		labels: ReadonlyArray<PlanetLabelData>,
+	): string => {
+		const parts: string[] = [];
+		for (const l of labels) {
+			parts.push(`${l.planetNumber};${l.name ?? ""};${l.numberLabel}`);
+		}
+		return parts.join("|");
+	};
 	const LABEL_FONT_SIZE_PX = 11;
 	const LABEL_LINE_GAP_PX = 0;
 	const LABEL_FRAME_PADDING_PX = 3;
@@ -608,10 +609,12 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 	};
 
 	const clearAllLabels = (): void => {
-		for (const list of planetLabelInstances.values()) {
-			for (const entry of list) disposeLabelGfx(entry);
+		for (const entry of planetLabelInstances.values()) {
+			disposeLabelGfx(entry);
 		}
 		planetLabelInstances.clear();
+		currentLabelsFingerprint = null;
+		currentLabelsSelectedId = null;
 	};
 
 	const paintLabelEntry = (entry: LabelGfx, isSelected: boolean): void => {
@@ -659,59 +662,64 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 		if (cameraScale <= 0) return;
 		const labelScale = 1 / cameraScale;
 		const gapWorld = LABEL_OFFSET_PX / cameraScale;
-		for (const [planetNumber, list] of planetLabelInstances) {
-			const planetPrim = pointPrimitivesById.get(planetNumber);
-			if (planetPrim === undefined) continue;
-			const visibleRadius = displayPointRadiusWorld(
+		for (const data of currentLabels) {
+			const entry = planetLabelInstances.get(data.planetNumber);
+			if (entry === undefined) continue;
+			const planetPrim = pointPrimitivesById.get(data.planetNumber);
+			const visibleRadius =
+				planetPrim === undefined
+					? 0
+					: displayPointRadiusWorld(
 							planetPrim.style,
 							cameraScale,
 							currentScaleRef,
 						);
-			const labelData = currentLabels.find(
-				(l) => l.planetNumber === planetNumber,
-			);
-			const anchorX = labelData?.x ?? planetPrim.x;
-			const anchorY = labelData?.y ?? planetPrim.y;
-			for (const entry of list) {
-				entry.container.x = anchorX;
-				entry.container.y = anchorY + visibleRadius + gapWorld;
+			entry.container.x = data.x;
+			entry.container.y = data.y + visibleRadius + gapWorld;
 			entry.container.scale.set(labelScale);
 		}
-		}
 	};
 
-	// Planet outline state (F8-12 / #30). One Graphics per planet per
-	// torus copy. Width and colour come from `PlanetOutlineSpec`; the
-	// radius is recomputed on every zoom step so the outline tracks
-	// the visible disc — the planet itself may grow / shrink with
-	// zoom (`pointRadiusWorld` softening) or stay constant
+	// Planet outline state (F8-12 / #30). One Graphics per planet,
+	// painted in the origin copy alongside the label container. Width
+	// and colour come from `PlanetOutlineSpec`; the radius is
+	// recomputed on every zoom step so the outline tracks the visible
+	// disc — the planet itself may grow / shrink with zoom
+	// (`pointRadiusBasePx` softening) or stay constant
 	// (`pointRadiusPx` pixel-space).
 	interface PlanetOutlineGfx {
-		readonly graphics: Graphics[];
+		readonly graphics: Graphics;
 		readonly spec: PlanetOutlineSpec;
 	}
 	const planetOutlineInstances = new Map<number, PlanetOutlineGfx>();
+	let currentOutlinesFingerprint: string | null = null;
+	const fingerprintPlanetOutlines = (
+		outlines: ReadonlyArray<PlanetOutlineSpec>,
+	): string => {
+		const parts: string[] = [];
+		for (const o of outlines) {
+			parts.push(`${o.planetNumber};${o.color};${o.widthPx ?? -1}`);
+		}
+		return parts.join("|");
+	};
 	const OUTLINE_DEFAULT_WIDTH_PX = 1.5;
 	const OUTLINE_RADIUS_PADDING_PX = 1; // gap between disc edge and stroke
 
 	const clearAllOutlines = (): void => {
 		for (const entry of planetOutlineInstances.values()) {
-			for (const g of entry.graphics) {
-				g.parent?.removeChild(g);
-				g.destroy();
-			}
+			entry.graphics.parent?.removeChild(entry.graphics);
+			entry.graphics.destroy();
 		}
 		planetOutlineInstances.clear();
+		currentOutlinesFingerprint = null;
 	};
 
 	const paintOutlineEntry = (entry: PlanetOutlineGfx): void => {
 		const cameraScale = viewport.scaled;
 		if (cameraScale <= 0) return;
 		const planetPrim = pointPrimitivesById.get(entry.spec.planetNumber);
-		if (planetPrim === undefined) {
-			for (const g of entry.graphics) g.clear();
-			return;
-		}
+		entry.graphics.clear();
+		if (planetPrim === undefined) return;
 		const visibleRadius = displayPointRadiusWorld(
 			planetPrim.style,
 			cameraScale,
@@ -721,15 +729,12 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 		const widthWorld =
 			(entry.spec.widthPx ?? OUTLINE_DEFAULT_WIDTH_PX) / cameraScale;
 		const outlineRadius = visibleRadius + paddingWorld;
-		for (const g of entry.graphics) {
-			g.clear();
-			g.circle(planetPrim.x, planetPrim.y, outlineRadius);
-			g.stroke({
+		entry.graphics.circle(planetPrim.x, planetPrim.y, outlineRadius);
+		entry.graphics.stroke({
 			color: entry.spec.color,
 			alpha: 0.95,
 			width: widthWorld,
 		});
-		}
 	};
 
 	const updateOutlineTransforms = (): void => {
@@ -741,15 +746,22 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 	const setPlanetOutlines = (
 		outlines: ReadonlyArray<PlanetOutlineSpec>,
 	): void => {
-		clearAllOutlines();
-		for (const spec of outlines) {
-			const list: Graphics[] = [];
-			for (const layer of outlineLayers) {
-				const g = new Graphics();
-				layer.addChild(g);
-				list.push(g);
+		const fp = fingerprintPlanetOutlines(outlines);
+		if (fp === currentOutlinesFingerprint) {
+			// Same dataset — just refresh the geometry (the planet
+			// position / size may have changed in the underlying
+			// primitive). Keeps Graphics instances around.
+			for (const entry of planetOutlineInstances.values()) {
+				paintOutlineEntry(entry);
 			}
-			const entry: PlanetOutlineGfx = { graphics: list, spec };
+			return;
+		}
+		clearAllOutlines();
+		currentOutlinesFingerprint = fp;
+		for (const spec of outlines) {
+			const g = new Graphics();
+			outlineLayer.addChild(g);
+			const entry: PlanetOutlineGfx = { graphics: g, spec };
 			planetOutlineInstances.set(spec.planetNumber, entry);
 			paintOutlineEntry(entry);
 		}
@@ -760,11 +772,35 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 		labels: ReadonlyArray<PlanetLabelData>,
 		selectedPlanetId: number | null,
 	): void => {
-		clearAllLabels();
+		const fp = fingerprintPlanetLabels(labels);
+		const sameContent = fp === currentLabelsFingerprint;
+		const sameSelection = selectedPlanetId === currentLabelsSelectedId;
+		if (sameContent && sameSelection) {
+			// Position-only update (a zoom step may have moved planets
+			// in the data) — keep Pixi.Text instances alive.
+			currentLabels = labels.slice();
+			updateLabelTransforms();
+			return;
+		}
+		if (sameContent) {
+			// Text + planet identity unchanged; only the selection frame
+			// flips. Repaint the affected entries instead of rebuilding.
 			currentLabels = labels.slice();
 			for (const data of labels) {
-			const list: LabelGfx[] = [];
-			for (const layer of labelLayers) {
+				const entry = planetLabelInstances.get(data.planetNumber);
+				if (entry === undefined) continue;
+				paintLabelEntry(entry, data.planetNumber === selectedPlanetId);
+			}
+			currentLabelsSelectedId = selectedPlanetId;
+			updateLabelTransforms();
+			requestRender();
+			return;
+		}
+		clearAllLabels();
+		currentLabels = labels.slice();
+		currentLabelsFingerprint = fp;
+		currentLabelsSelectedId = selectedPlanetId;
+		for (const data of labels) {
 			const container = new Container();
 			const frame = new Graphics();
 			frame.visible = false;
@@ -776,7 +812,7 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 			if (nameText !== null) container.addChild(nameText);
 			const numberText = buildLabelText(data.numberLabel, theme.labelMuted);
 			container.addChild(numberText);
-				layer.addChild(container);
+			labelLayer.addChild(container);
 			const entry: LabelGfx = {
 				container,
 				frame,
@@ -784,9 +820,7 @@ export async function createRenderer(opts: RendererOptions): Promise<RendererHan
 				numberText,
 			};
 			paintLabelEntry(entry, data.planetNumber === selectedPlanetId);
-				list.push(entry);
-			}
-			planetLabelInstances.set(data.planetNumber, list);
+			planetLabelInstances.set(data.planetNumber, entry);
 		}
 		updateLabelTransforms();
 		requestRender();

ui/frontend/src/map/state-binding.ts

@@ -39,20 +39,21 @@ import {
 // extra lookup.
 
 /**
- * KNOWN_PLANET_BASE_RADIUS_WORLD calibrates the cube-root size
- * mapping so that an "average" planet (`size === SIZE_NORMALIZER`)
- * renders at roughly this radius in world units when the camera is
- * at the reference scale. Larger / smaller planets scale by
+ * KNOWN_PLANET_MIN_RADIUS_PX / KNOWN_PLANET_GROWTH_PX calibrate the
+ * cube-root size mapping in screen-pixel space. At the "whole world
+ * fits" reference zoom (`scaleRef`) a Size-`SIZE_NORMALIZER` planet
+ * reads at `MIN + GROWTH` pixels; smaller / larger planets scale by
  * `cbrt(size / SIZE_NORMALIZER)`, which keeps disc area proportional
- * to volume — a Size-800 planet reads twice as big as a Size-100 one,
- * eight times its volume but only 2× the radius.
+ * to volume — Size-800 reads twice as big as Size-100. The pixel
+ * frame is the right one to calibrate in, because it stays sane no
+ * matter how large the world rectangle is.
  *
- * `SIZE_NORMALIZER` follows the engine's typical mid-range. Without
- * it, the raw cube-root grows huge for legacy fixtures that record
- * Size in hundreds; with it, the disc stays in a sane world-unit
- * band so neighbouring planets never overlap on the default zoom.
+ * The renderer combines these with `PLANET_SIZE_ZOOM_ALPHA` so the
+ * pixel radius grows sub-linearly as the player zooms in: 10× zoom
+ * scales the radius by ~2.15×, not by 10×.
  */
-const KNOWN_PLANET_BASE_RADIUS_WORLD = 4;
+const KNOWN_PLANET_MIN_RADIUS_PX = 2;
+const KNOWN_PLANET_GROWTH_PX = 2;
 const SIZE_NORMALIZER = 100;
 
 /**
@@ -68,9 +69,10 @@ function styleFor(planet: ReportPlanet, theme: Theme): Style {
 	if (planet.kind === "unidentified" || size === null || !(size > 0)) {
 		return { ...fill, pointRadiusPx: UNKNOWN_PLANET_PIXEL_RADIUS };
 	}
-	const baseRadius =
-		KNOWN_PLANET_BASE_RADIUS_WORLD * Math.cbrt(size / SIZE_NORMALIZER);
-	return { ...fill, pointRadiusWorld: baseRadius };
+	const basePx =
+		KNOWN_PLANET_MIN_RADIUS_PX +
+		KNOWN_PLANET_GROWTH_PX * Math.cbrt(size / SIZE_NORMALIZER);
+	return { ...fill, pointRadiusBasePx: basePx };
 }
 
 function fillForKind(

ui/frontend/src/map/world.ts

@@ -26,11 +26,12 @@ export type WrapMode = "torus" | "no-wrap";
 // thickening that the old contract promised but never delivered is
 // gone.
 //
-// `pointRadiusWorld` is the opposite intent: a planet's known
-// `size` produces a base radius in world units, and the renderer
-// softens its growth with the camera scale through
-// `PLANET_SIZE_ZOOM_ALPHA` (F8-12 / #31). When `pointRadiusWorld`
-// is set on a `PointPrim`, `pointRadiusPx` is ignored.
+// `pointRadiusBasePx` is the opposite intent: a planet's known
+// `size` produces a base on-screen pixel radius at the "whole world
+// fits" reference zoom, and the renderer grows it sub-linearly with
+// the camera scale through `PLANET_SIZE_ZOOM_ALPHA` (F8-12 / #31).
+// When `pointRadiusBasePx` is set on a `PointPrim`, `pointRadiusPx`
+// is ignored.
 export interface Style {
 	fillColor?: number; // 0xRRGGBB
 	fillAlpha?: number; // 0..1
@@ -38,7 +39,7 @@ export interface Style {
 	strokeAlpha?: number; // 0..1
 	strokeWidthPx?: number; // screen pixels at any zoom
 	pointRadiusPx?: number; // screen pixels at any zoom (for kind === 'point')
-	pointRadiusWorld?: number; // world units, softened by PLANET_SIZE_ZOOM_ALPHA
+	pointRadiusBasePx?: number; // screen pixels at scaleRef, softened by PLANET_SIZE_ZOOM_ALPHA
 	// strokeDashPx — when set on a `LinePrim`, the line is rendered as
 	// a dashed pattern whose dash and gap are both this length. When
 	// unset (or zero), the stroke is solid. Interpreted in world-unit
@@ -231,12 +232,13 @@ export const PLANET_SIZE_ZOOM_ALPHA = 0.33;
 /**
  * displayPointRadiusWorld returns the world-space radius the renderer
  * should draw a `PointPrim` with at the current camera scale. When
- * `style.pointRadiusWorld` is set (known-size planets), the radius is
- * the base world radius softened by `PLANET_SIZE_ZOOM_ALPHA` relative
- * to `scaleRef` — at `scale = scaleRef` it equals the base radius;
- * zooming in grows it sub-linearly. Otherwise the radius collapses to
- * `pointRadiusPx / cameraScale` so the on-screen disc stays the same
- * pixel size regardless of zoom.
+ * `style.pointRadiusBasePx` is set (known-size planets), the radius
+ * is the base pixel size at `scaleRef`, grown by
+ * `(scale / scaleRef)^α` and converted back into world units —
+ * `α = PLANET_SIZE_ZOOM_ALPHA`. At `scale = scaleRef` the visible
+ * pixel size equals the base; a 10× zoom-in only grows it ~2.15×.
+ * Otherwise the radius collapses to `pointRadiusPx / cameraScale` so
+ * the on-screen disc stays the same pixel size regardless of zoom.
  *
  * Used by both the renderer (`render.ts:drawPoint`) and the hit-test
  * (`hit-test.ts:matchPoint`) so the visible disc and the click zone
@@ -247,12 +249,17 @@ export function displayPointRadiusWorld(
 	cameraScale: number,
 	scaleRef: number,
 ): number {
-	if (style.pointRadiusWorld !== undefined) {
-		const softening = Math.pow(cameraScale / scaleRef, PLANET_SIZE_ZOOM_ALPHA - 1);
-		return style.pointRadiusWorld * softening;
+	if (cameraScale <= 0) {
+		return style.pointRadiusBasePx ?? style.pointRadiusPx ?? DEFAULT_POINT_RADIUS_PX;
+	}
+	if (style.pointRadiusBasePx !== undefined) {
+		const refScale = scaleRef > 0 ? scaleRef : cameraScale;
+		const screenPx =
+			style.pointRadiusBasePx *
+			Math.pow(cameraScale / refScale, PLANET_SIZE_ZOOM_ALPHA);
+		return screenPx / cameraScale;
 	}
 	const px = style.pointRadiusPx ?? DEFAULT_POINT_RADIUS_PX;
-	if (cameraScale <= 0) return px;
 	return px / cameraScale;
 }
 

ui/frontend/tests/map-display-sizing.test.ts

@@ -32,21 +32,24 @@ describe("displayPointRadiusWorld — pixel-space (pointRadiusPx)", () => {
 	});
 });
 
-describe("displayPointRadiusWorld — softened by zoom (pointRadiusWorld)", () => {
-	test("at scale=scaleRef the visible radius equals the base radius", () => {
+describe("displayPointRadiusWorld — softened by zoom (pointRadiusBasePx)", () => {
+	test("at scale=scaleRef the on-screen pixel size equals the base", () => {
 		const radius = displayPointRadiusWorld(
-			{ pointRadiusWorld: 6 },
+			{ pointRadiusBasePx: 6 },
 			0.2,
 			0.2,
 		);
-		expect(radius).toBeCloseTo(6);
+		// world units → 6 (base px) / 0.2 (scale) = 30
+		expect(radius).toBeCloseTo(30);
+		// confirm pixel-space: world * scale ≈ 6.
+		expect(radius * 0.2).toBeCloseTo(6);
 	});
 
-	test("zooming in grows the radius sub-linearly", () => {
-		const r1 = displayPointRadiusWorld({ pointRadiusWorld: 6 }, 0.2, 0.2);
-		const r10 = displayPointRadiusWorld({ pointRadiusWorld: 6 }, 2.0, 0.2);
-		// On-screen pixel size grows by scale^α (α = 0.33) instead of
-		// linearly: 10x zoom → ~10^0.33 ≈ 2.15x growth.
+	test("zooming in grows the on-screen pixel size sub-linearly", () => {
+		const r1 = displayPointRadiusWorld({ pointRadiusBasePx: 6 }, 0.2, 0.2);
+		const r10 = displayPointRadiusWorld({ pointRadiusBasePx: 6 }, 2.0, 0.2);
+		// On-screen pixel size grows by scale^α (α = 0.33): 10x zoom
+		// → 10^0.33 ≈ 2.15x growth.
 		const onScreenAt1 = r1 * 0.2;
 		const onScreenAt10 = r10 * 2.0;
 		expect(onScreenAt10 / onScreenAt1).toBeCloseTo(
@@ -55,14 +58,16 @@ describe("displayPointRadiusWorld — softened by zoom (pointRadiusWorld)", () =
 		);
 	});
 
-	test("ignores pointRadiusPx when pointRadiusWorld is set", () => {
+	test("ignores pointRadiusPx when pointRadiusBasePx is set", () => {
 		const r = displayPointRadiusWorld(
-			{ pointRadiusPx: 99, pointRadiusWorld: 4 },
+			{ pointRadiusPx: 99, pointRadiusBasePx: 4 },
 			0.4,
 			0.2,
 		);
-		// World radius is the base softened by (0.4/0.2)^(α-1).
-		expect(r).toBeCloseTo(4 * Math.pow(2, PLANET_SIZE_ZOOM_ALPHA - 1), 4);
+		// On-screen pixel size: 4 * (0.4 / 0.2)^α = 4 * 2^0.33
+		// In world units: (4 * 2^0.33) / 0.4.
+		const expected = (4 * Math.pow(2, PLANET_SIZE_ZOOM_ALPHA)) / 0.4;
+		expect(r).toBeCloseTo(expected, 4);
 	});
 });
 

ui/frontend/tests/map-hit-test.test.ts

@@ -280,20 +280,19 @@ describe("hitTest — empty results and scale", () => {
 		expect(ids(w, "torus", cam05, cursorOver(516, 500, cam05))).toBe(null);
 	});
 
-	test("pointRadiusWorld scales softly with zoom (F8-12 / #31)", () => {
-		// world 1000×1000, viewport 200×200 → scaleRef = 0.2 (every
-		// world unit becomes 0.2 px on screen at the "whole world fits"
-		// zoom). PLANET_SIZE_ZOOM_ALPHA is 0.33: r_display =
-		// r_base * (scale / scaleRef)^(α - 1).
+	test("pointRadiusBasePx scales softly with zoom (F8-12 / #31)", () => {
+		// world 1000×1000, viewport 200×200 → scaleRef = 0.2. At
+		// scale=0.5 the on-screen pixel size is
+		//   basePx * (scale/scaleRef)^α
+		// → 6 * (0.5/0.2)^0.33 ≈ 6 * 1.354 ≈ 8.13 px. In world units
+		// that becomes ≈ 16.27, plus slop 4/0.5 = 8 → threshold ≈ 24.27.
 		const cam05 = camAt(500, 500, 0.5);
 		const wBase = new World(1000, 1000, [
-			point(1, 500, 500, { style: { pointRadiusWorld: 6 } }),
+			point(1, 500, 500, { style: { pointRadiusBasePx: 6 } }),
 		]);
-		// At scale=0.5 the softening factor is (0.5/0.2)^(0.33-1) ≈ 0.554.
-		// Visible radius ≈ 3.32 world units, slop 8, threshold ≈ 11.32.
-		expect(ids(wBase, "torus", cam05, cursorOver(510, 500, cam05))).toBe(1);
-		// Cursor 12 world units away exceeds the threshold.
-		expect(ids(wBase, "torus", cam05, cursorOver(512, 500, cam05))).toBe(null);
+		expect(ids(wBase, "torus", cam05, cursorOver(520, 500, cam05))).toBe(1);
+		// Cursor 26 world units away exceeds the threshold (~24.27).
+		expect(ids(wBase, "torus", cam05, cursorOver(526, 500, cam05))).toBe(null);
 	});
 });