diff --git a/docs/architecture.md b/docs/architecture.md
index f541bd0..2ef932e 100644
--- a/docs/architecture.md
+++ b/docs/architecture.md
@@ -357,9 +357,10 @@ Sim and UI run on the same thread for v1. `paintEvent` reads sim state directly
 
 ### Coordinates and Scrolling
 
-- `GameWorldView` holds a continuous `scrollXTiles` (float). A / D input pans this smoothly (REQ-UI-SCROLL).
-- At the start of `paintEvent`, a single `painter.translate(-scrollXTiles * tilePx, 0)` maps world tile units into widget pixels (`tilePx = 20`, per REQ-GW-TILE-SIZE).
-- Mouse input converts the other way: `worldX = mouseX / tilePx + scrollXTiles`; apply `floor` for a tile. Asteroid tiles (`x < 0`) need no special casing — they share the coordinate system with space tiles.
+- `GameWorldView` holds a continuous `scrollXTiles` (float), the world X at the *center* of the viewport. A / D input pans this smoothly (REQ-UI-SCROLL) at a position-dependent speed (REQ-UI-SCROLL-SPEED).
+- The world↔widget transform itself lives in `WorldCoordinates` (`lib/core/`), not in the view. It is an immutable value built from the viewport size, the world height, and the scroll center; `tilePx` is derived so the world height fills the viewport (REQ-GW-TILE-SIZE) rather than being fixed. Being a plain value with no Qt Widgets dependency, it is unit-tested (`WorldCoordinatesTest`) even though the widgets around it are not.
+- `GameWorldView::getCoordinates()` builds one per frame in `paintGL` and per event in the mouse handlers, and passes it down: every world-space `draw<X>` takes a `const WorldCoordinates&`, while the screen-space draws (vignette borders, replay overlay, debug text) take none. The snapshot is deliberately never cached in a member — a resize or a scroll would silently invalidate it.
+- Conversions are per-call arithmetic rather than a `painter.translate`, because hit-testing needs the inverse (`widgetToWorld` / `widgetToTile`, flooring for a tile) as often as drawing needs the forward direction. Asteroid tiles (`x < 0`) need no special casing — they share the coordinate system with space tiles, which is why the flooring must not be truncation.
 
 ### Culling
 
diff --git a/src/lib/core/CMakeLists.txt b/src/lib/core/CMakeLists.txt
index a0d83f8..e7fea30 100644
--- a/src/lib/core/CMakeLists.txt
+++ b/src/lib/core/CMakeLists.txt
@@ -14,6 +14,7 @@ SET(HDRS
     ${CMAKE_CURRENT_SOURCE_DIR}/DisplayName.h
     ${CMAKE_CURRENT_SOURCE_DIR}/BeltDragPath.h
     ${CMAKE_CURRENT_SOURCE_DIR}/TunnelCompletion.h
+    ${CMAKE_CURRENT_SOURCE_DIR}/WorldCoordinates.h
     PARENT_SCOPE
 )
 
@@ -25,6 +26,7 @@ SET(SRCS
     ${CMAKE_CURRENT_SOURCE_DIR}/DisplayName.cpp
     ${CMAKE_CURRENT_SOURCE_DIR}/BeltDragPath.cpp
     ${CMAKE_CURRENT_SOURCE_DIR}/TunnelCompletion.cpp
+    ${CMAKE_CURRENT_SOURCE_DIR}/WorldCoordinates.cpp
     PARENT_SCOPE
 )
 
diff --git a/src/lib/core/WorldCoordinates.cpp b/src/lib/core/WorldCoordinates.cpp
new file mode 100644
index 0000000..fdd8a3f
--- /dev/null
+++ b/src/lib/core/WorldCoordinates.cpp
@@ -0,0 +1,78 @@
+#include "WorldCoordinates.h"
+
+#include <cmath>
+
+WorldCoordinates::WorldCoordinates(QSize widgetSize_px, int worldHeight_tiles,
+                                   float viewCenterX_tiles)
+    : m_tilePx(1.0f)
+    , m_viewportWidthTiles(0.0f)
+    , m_viewLeftTiles(0.0f)
+    , m_worldHeightTiles(worldHeight_tiles)
+{
+    if (worldHeight_tiles > 0)
+    {
+        m_tilePx = static_cast<float>(widgetSize_px.height())
+                 / static_cast<float>(worldHeight_tiles);
+    }
+    m_viewportWidthTiles = static_cast<float>(widgetSize_px.width()) / m_tilePx;
+    m_viewLeftTiles      = viewCenterX_tiles - m_viewportWidthTiles / 2.0f;
+}
+
+float WorldCoordinates::getTilePx() const
+{
+    return m_tilePx;
+}
+
+float WorldCoordinates::getViewportWidthTiles() const
+{
+    return m_viewportWidthTiles;
+}
+
+float WorldCoordinates::getViewLeftTiles() const
+{
+    return m_viewLeftTiles;
+}
+
+QPointF WorldCoordinates::worldToWidget(QVector2D worldPos) const
+{
+    return QPointF(
+        static_cast<qreal>((worldPos.x() - m_viewLeftTiles) * m_tilePx),
+        static_cast<qreal>(worldPos.y() * m_tilePx));
+}
+
+QPointF WorldCoordinates::tileToWidget(QPoint tile) const
+{
+    return worldToWidget(QVector2D(static_cast<float>(tile.x()),
+                                   static_cast<float>(tile.y())));
+}
+
+QPoint WorldCoordinates::widgetToTile(QPoint widgetPoint) const
+{
+    const QVector2D world = widgetToWorld(widgetPoint);
+    return QPoint(static_cast<int>(std::floor(world.x())),
+                  static_cast<int>(std::floor(world.y())));
+}
+
+QVector2D WorldCoordinates::widgetToWorld(QPoint widgetPoint) const
+{
+    return QVector2D(
+        static_cast<float>(widgetPoint.x()) / m_tilePx + m_viewLeftTiles,
+        static_cast<float>(widgetPoint.y()) / m_tilePx);
+}
+
+QRectF WorldCoordinates::tileRect(QPoint tile) const
+{
+    const QPointF topLeft = tileToWidget(tile);
+    return QRectF(topLeft.x(), topLeft.y(),
+                  static_cast<qreal>(m_tilePx), static_cast<qreal>(m_tilePx));
+}
+
+QRect WorldCoordinates::getViewportRect() const
+{
+    const int left   = static_cast<int>(std::floor(m_viewLeftTiles)) - 1;
+    const int top    = 0;
+    const int right  = static_cast<int>(
+        std::ceil(m_viewLeftTiles + m_viewportWidthTiles)) + 1;
+    const int bottom = m_worldHeightTiles;
+    return QRect(left, top, right - left, bottom - top);
+}
diff --git a/src/lib/core/WorldCoordinates.h b/src/lib/core/WorldCoordinates.h
new file mode 100644
index 0000000..bccc4aa
--- /dev/null
+++ b/src/lib/core/WorldCoordinates.h
@@ -0,0 +1,51 @@
+#pragma once
+
+#include <QPoint>
+#include <QPointF>
+#include <QRect>
+#include <QRectF>
+#include <QSize>
+#include <QVector2D>
+
+// Immutable snapshot of the world <-> widget transform for one viewport state
+// (REQ-GW-COORDS, REQ-GW-TILE-SIZE). Tiles are square and sized so the world
+// height exactly fills the viewport height; there is no zoom (REQ-UI-NO-ZOOM),
+// so the only free parameter is the horizontal scroll position.
+//
+// The transform is a value: it is constructed from the viewport size, the world
+// height, and the view center, and never observes them again. A caller therefore
+// builds one per frame (or per event) rather than holding one across a resize or
+// a scroll, which would silently go stale.
+class WorldCoordinates
+{
+public:
+    // `viewCenterX_tiles` is the world X at the center of the viewport, matching
+    // how the scroll position is stored and clamped (REQ-GW-SCROLL-LIMIT).
+    WorldCoordinates(QSize widgetSize_px, int worldHeight_tiles,
+                     float viewCenterX_tiles);
+
+    // Side length of one tile in pixels. Degenerate world heights yield 1.0 so
+    // callers never divide by zero.
+    float getTilePx() const;
+    float getViewportWidthTiles() const;
+    // World X (tiles) at the left edge of the viewport, derived from the view
+    // center the constructor was given.
+    float getViewLeftTiles() const;
+
+    QPointF   worldToWidget(QVector2D worldPos) const;
+    QPointF   tileToWidget(QPoint tile) const;
+    QPoint    widgetToTile(QPoint widgetPoint) const;
+    QVector2D widgetToWorld(QPoint widgetPoint) const;
+    // Widget-space rect covering the whole of `tile`.
+    QRectF    tileRect(QPoint tile) const;
+
+    // Tile-space rect of everything currently on screen, widened by one column on
+    // each side so items straddling an edge are still drawn.
+    QRect     getViewportRect() const;
+
+private:
+    float m_tilePx;
+    float m_viewportWidthTiles;
+    float m_viewLeftTiles;
+    int   m_worldHeightTiles;
+};
diff --git a/src/test/CMakeLists.txt b/src/test/CMakeLists.txt
index 4887c04..e812447 100644
--- a/src/test/CMakeLists.txt
+++ b/src/test/CMakeLists.txt
@@ -12,6 +12,7 @@ add_files(
     SurfaceMaskTest.cpp
     BeltDragPathTest.cpp
     TunnelCompletionTest.cpp
+    WorldCoordinatesTest.cpp
     BuildingTest.cpp
     BuildingConfigTest.cpp
     ShipTest.cpp
diff --git a/src/test/WorldCoordinatesTest.cpp b/src/test/WorldCoordinatesTest.cpp
new file mode 100644
index 0000000..2b3eeba
--- /dev/null
+++ b/src/test/WorldCoordinatesTest.cpp
@@ -0,0 +1,145 @@
+#include "catch.hpp"
+
+#include <QPoint>
+#include <QSize>
+#include <QVector2D>
+
+#include "WorldCoordinates.h"
+
+// A 800x400 viewport over a 20-tile-high world gives exactly 20 px per tile and a
+// 40-tile-wide view, so every expectation below is a whole number.
+static WorldCoordinates makeCoordinates(float viewCenterX_tiles)
+{
+    return WorldCoordinates(QSize(800, 400), 20, viewCenterX_tiles);
+}
+
+// ---------------------------------------------------------------------------
+// Tile size and viewport extent
+// ---------------------------------------------------------------------------
+
+TEST_CASE("Tile size makes the world height fill the viewport height", "[coords]")
+{
+    // REQ-GW-TILE-SIZE: tiles are square and sized so the world height exactly
+    // fills the view's height.
+    REQUIRE(makeCoordinates(0.0f).getTilePx() == Approx(20.0f));
+    REQUIRE(WorldCoordinates(QSize(800, 600), 20, 0.0f).getTilePx() == Approx(30.0f));
+}
+
+TEST_CASE("A degenerate world height falls back to a unit tile", "[coords]")
+{
+    // Guards the division in every conversion; a zero or negative height would
+    // otherwise produce infinities.
+    REQUIRE(WorldCoordinates(QSize(800, 400), 0, 0.0f).getTilePx() == Approx(1.0f));
+    REQUIRE(WorldCoordinates(QSize(800, 400), -5, 0.0f).getTilePx() == Approx(1.0f));
+}
+
+TEST_CASE("Viewport width in tiles follows the widget width", "[coords]")
+{
+    REQUIRE(makeCoordinates(0.0f).getViewportWidthTiles() == Approx(40.0f));
+    REQUIRE(WorldCoordinates(QSize(400, 400), 20, 0.0f).getViewportWidthTiles()
+            == Approx(20.0f));
+}
+
+TEST_CASE("The view left edge is half a viewport left of the center", "[coords]")
+{
+    REQUIRE(makeCoordinates(0.0f).getViewLeftTiles()   == Approx(-20.0f));
+    REQUIRE(makeCoordinates(100.0f).getViewLeftTiles() == Approx(80.0f));
+}
+
+// ---------------------------------------------------------------------------
+// World <-> widget conversion
+// ---------------------------------------------------------------------------
+
+TEST_CASE("World positions map to widget pixels relative to the view left edge",
+          "[coords]")
+{
+    const WorldCoordinates coordinates = makeCoordinates(0.0f);  // left edge at -20
+
+    REQUIRE(coordinates.worldToWidget(QVector2D(-20.0f, 0.0f)).x() == Approx(0.0));
+    REQUIRE(coordinates.worldToWidget(QVector2D(0.0f, 0.0f)).x()   == Approx(400.0));
+    // Y is not scrolled: world Y maps straight through the tile size.
+    REQUIRE(coordinates.worldToWidget(QVector2D(0.0f, 3.5f)).y()   == Approx(70.0));
+}
+
+TEST_CASE("Scrolling right shifts the world left on screen", "[coords]")
+{
+    const QVector2D worldPos(10.0f, 5.0f);
+    const qreal atOrigin = makeCoordinates(0.0f).worldToWidget(worldPos).x();
+    const qreal scrolled = makeCoordinates(4.0f).worldToWidget(worldPos).x();
+    // Panning the view 4 tiles right moves the same world point 4 tiles (80 px) left.
+    REQUIRE(scrolled == Approx(atOrigin - 80.0));
+}
+
+TEST_CASE("A tile's widget position is its top-left corner", "[coords]")
+{
+    const WorldCoordinates coordinates = makeCoordinates(0.0f);
+    REQUIRE(coordinates.tileToWidget(QPoint(-20, 0)) == QPointF(0.0, 0.0));
+    REQUIRE(coordinates.tileToWidget(QPoint(0, 2))   == QPointF(400.0, 40.0));
+}
+
+TEST_CASE("A tile rect covers exactly one tile", "[coords]")
+{
+    const QRectF rect = makeCoordinates(0.0f).tileRect(QPoint(-19, 1));
+    REQUIRE(rect.left()   == Approx(20.0));
+    REQUIRE(rect.top()    == Approx(20.0));
+    REQUIRE(rect.width()  == Approx(20.0));
+    REQUIRE(rect.height() == Approx(20.0));
+}
+
+// ---------------------------------------------------------------------------
+// Widget -> world conversion
+// ---------------------------------------------------------------------------
+
+TEST_CASE("Widget points map back to the world position they came from", "[coords]")
+{
+    const WorldCoordinates coordinates = makeCoordinates(7.0f);
+    const QVector2D world = coordinates.widgetToWorld(QPoint(250, 130));
+    const QPointF   back  = coordinates.worldToWidget(world);
+    REQUIRE(back.x() == Approx(250.0));
+    REQUIRE(back.y() == Approx(130.0));
+}
+
+TEST_CASE("Widget points resolve to the tile that contains them", "[coords]")
+{
+    const WorldCoordinates coordinates = makeCoordinates(0.0f);  // left edge at -20
+
+    // Anywhere inside a tile's 20px cell resolves to that tile.
+    REQUIRE(coordinates.widgetToTile(QPoint(0, 0))     == QPoint(-20, 0));
+    REQUIRE(coordinates.widgetToTile(QPoint(19, 19))   == QPoint(-20, 0));
+    REQUIRE(coordinates.widgetToTile(QPoint(20, 20))   == QPoint(-19, 1));
+    REQUIRE(coordinates.widgetToTile(QPoint(405, 45))  == QPoint(0, 2));
+}
+
+TEST_CASE("Tile resolution floors, so negative world positions round down", "[coords]")
+{
+    // Truncation toward zero would map the whole strip from -1 to 1 onto tile 0,
+    // making the tile under the cursor wrong on the asteroid side (REQ-GW-COORDS:
+    // all asteroid tiles have x < 0).
+    const WorldCoordinates coordinates = makeCoordinates(0.0f);  // left edge at -20
+    REQUIRE(coordinates.widgetToTile(QPoint(399, 0)) == QPoint(-1, 0));
+    REQUIRE(coordinates.widgetToTile(QPoint(400, 0)) == QPoint(0, 0));
+}
+
+// ---------------------------------------------------------------------------
+// Viewport rect
+// ---------------------------------------------------------------------------
+
+TEST_CASE("The viewport rect spans the visible tiles with a one-column margin",
+          "[coords]")
+{
+    // The margin keeps items that straddle an edge from popping in and out.
+    const QRect rect = makeCoordinates(0.0f).getViewportRect();  // left edge at -20
+    REQUIRE(rect.left()   == -21);
+    REQUIRE(rect.right()  == 20);
+    REQUIRE(rect.top()    == 0);
+    REQUIRE(rect.height() == 20);  // the full world height
+}
+
+TEST_CASE("A fractional scroll position widens the viewport rect outward", "[coords]")
+{
+    // Left edge at -19.5: the rect must still cover the partially visible columns
+    // on both sides, so it floors on the left and ceils on the right.
+    const QRect rect = makeCoordinates(0.5f).getViewportRect();
+    REQUIRE(rect.left()  == -21);
+    REQUIRE(rect.right() == 21);
+}
diff --git a/src/ui/GameWorldView.cpp b/src/ui/GameWorldView.cpp
index ace7188..85bc4bc 100644
--- a/src/ui/GameWorldView.cpp
+++ b/src/ui/GameWorldView.cpp
@@ -379,7 +379,8 @@ void GameWorldView::onFrame()
         // so refresh the box-select rectangle even though no mouse move fires.
         if (m_boxSelecting && m_scrollXTiles != scrollBefore)
         {
-            m_boxCurrentTile = widgetToTile(mapFromGlobal(QCursor::pos()));
+            m_boxCurrentTile =
+                getCoordinates().widgetToTile(mapFromGlobal(QCursor::pos()));
         }
     }
 
@@ -488,26 +489,30 @@ void GameWorldView::paintGL()
     QPainter painter(this);
     painter.setRenderHint(QPainter::Antialiasing, false);
 
-    drawTiles(painter);
-    drawBuildings(painter);
+    // One transform snapshot for the whole frame; every world-space draw below
+    // reads the viewport through it.
+    const WorldCoordinates coordinates = getCoordinates();
+
+    drawTiles(painter, coordinates);
+    drawBuildings(painter, coordinates);
     // Port items are drawn over the buildings but clipped to a thin margin at each
     // machine's edges (see drawPortItems), so items appear to emerge from / sink
     // into the port and stay visible while crossing directly between two touching
     // buildings (REQ-MAT-OUTPUT-EMERGE, REQ-MAT-INPUT-INTAKE, REQ-MAT-DIRECT-COUPLE).
-    drawPortItems(painter);
-    drawCopyConfigFeedback(painter);
-    drawStations(painter);
-    drawBeltItems(painter);
-    drawDebris(painter);
+    drawPortItems(painter, coordinates);
+    drawCopyConfigFeedback(painter, coordinates);
+    drawStations(painter, coordinates);
+    drawBeltItems(painter, coordinates);
+    drawDebris(painter, coordinates);
     if (m_debugDraw)
     {
-        drawDebugSensorRanges(painter);
-        drawDebugTargetLines(painter);
+        drawDebugSensorRanges(painter, coordinates);
+        drawDebugTargetLines(painter, coordinates);
         drawDebugOverlay(painter);
     }
-    drawShips(painter);
-    drawBeams(painter);
-    drawOverlays(painter);
+    drawShips(painter, coordinates);
+    drawBeams(painter, coordinates);
+    drawOverlays(painter, coordinates);
     drawScreenSpace(painter);
     drawPauseBorder(painter);
     drawDeconstructBorder(painter);
@@ -518,63 +523,9 @@ void GameWorldView::paintGL()
 // Coordinate helpers
 // ---------------------------------------------------------------------------
 
-float GameWorldView::getTilePx() const
+WorldCoordinates GameWorldView::getCoordinates() const
 {
-    if (m_config->world.heightTiles <= 0) { return 1.0f; }
-    return static_cast<float>(height()) / static_cast<float>(m_config->world.heightTiles);
-}
-
-float GameWorldView::getViewportWidthTiles() const
-{
-    return static_cast<float>(width()) / getTilePx();
-}
-
-float GameWorldView::getViewLeftTiles() const
-{
-    return m_scrollXTiles - getViewportWidthTiles() / 2.0f;
-}
-
-QPointF GameWorldView::worldToWidget(QVector2D worldPos) const
-{
-    return QPointF(
-        static_cast<qreal>((worldPos.x() - getViewLeftTiles()) * getTilePx()),
-        static_cast<qreal>(worldPos.y() * getTilePx()));
-}
-
-QPointF GameWorldView::tileToWidget(QPoint tile) const
-{
-    return worldToWidget(QVector2D(static_cast<float>(tile.x()),
-                                   static_cast<float>(tile.y())));
-}
-
-QPoint GameWorldView::widgetToTile(QPoint widgetPt) const
-{
-    const float wx = static_cast<float>(widgetPt.x()) / getTilePx() + getViewLeftTiles();
-    const float wy = static_cast<float>(widgetPt.y()) / getTilePx();
-    return QPoint(static_cast<int>(std::floor(wx)), static_cast<int>(std::floor(wy)));
-}
-
-QVector2D GameWorldView::widgetToWorld(QPoint widgetPt) const
-{
-    const float wx = static_cast<float>(widgetPt.x()) / getTilePx() + getViewLeftTiles();
-    const float wy = static_cast<float>(widgetPt.y()) / getTilePx();
-    return QVector2D(wx, wy);
-}
-
-QRectF GameWorldView::tileRect(QPoint tile) const
-{
-    const QPointF tl = tileToWidget(tile);
-    return QRectF(tl.x(), tl.y(),
-                  static_cast<qreal>(getTilePx()), static_cast<qreal>(getTilePx()));
-}
-
-QRect GameWorldView::getViewportRect() const
-{
-    const int left   = static_cast<int>(std::floor(getViewLeftTiles())) - 1;
-    const int top    = 0;
-    const int right  = static_cast<int>(std::ceil(getViewLeftTiles() + getViewportWidthTiles())) + 1;
-    const int bottom = m_config->world.heightTiles;
-    return QRect(left, top, right - left, bottom - top);
+    return WorldCoordinates(size(), m_config->world.heightTiles, m_scrollXTiles);
 }
 
 float GameWorldView::getAsteroidLeftEdge() const
@@ -1178,12 +1129,13 @@ void GameWorldView::applyBeltDragPath()
 // Port glyph helper
 // ---------------------------------------------------------------------------
 
-void GameWorldView::drawPortGlyph(QPainter& painter, QPoint tile,
-                                   Rotation direction, const QColor& color,
-                                   bool centered)
+void GameWorldView::drawPortGlyph(QPainter& painter,
+                                  const WorldCoordinates& coordinates, QPoint tile,
+                                  Rotation direction, const QColor& color,
+                                  bool centered)
 {
-    const float px = getTilePx();
-    const QRectF tr = tileRect(tile);
+    const float px = coordinates.getTilePx();
+    const QRectF tr = coordinates.tileRect(tile);
     const QPointF center(tr.x() + static_cast<qreal>(px) * 0.5,
                          tr.y() + static_cast<qreal>(px) * 0.5);
 
@@ -1220,10 +1172,11 @@ void GameWorldView::drawPortGlyph(QPainter& painter, QPoint tile,
 // Rendering
 // ---------------------------------------------------------------------------
 
-void GameWorldView::drawTiles(QPainter& painter)
+void GameWorldView::drawTiles(QPainter& painter, const WorldCoordinates& coordinates)
 {
-    const int leftTile   = static_cast<int>(std::floor(getViewLeftTiles())) - 1;
-    const int rightTile  = leftTile + static_cast<int>(std::ceil(getViewportWidthTiles())) + 2;
+    const int leftTile   = static_cast<int>(std::floor(coordinates.getViewLeftTiles())) - 1;
+    const int rightTile  = leftTile
+        + static_cast<int>(std::ceil(coordinates.getViewportWidthTiles())) + 2;
     const int bottomTile = m_config->world.heightTiles;
 
     // Asteroid columns left of the buildable edge are not yet unlocked by
@@ -1239,7 +1192,7 @@ void GameWorldView::drawTiles(QPainter& painter)
         const bool locked = (x < buildableLeftX);
         for (int y = 0; y < bottomTile; ++y)
         {
-            const QRectF rect = tileRect(QPoint(x, y));
+            const QRectF rect = coordinates.tileRect(QPoint(x, y));
             painter.fillRect(rect, fill);
             if (locked)
             {
@@ -1273,7 +1226,9 @@ void GameWorldView::loadBuildingIcons(const std::string& configDir)
     }
 }
 
-bool GameWorldView::drawBuildingIcon(QPainter& painter, BuildingType type,
+bool GameWorldView::drawBuildingIcon(QPainter& painter,
+                                     const WorldCoordinates& coordinates,
+                                     BuildingType type,
                                      const QRectF& box, const QColor& fill) const
 {
     const std::map<BuildingType, BuildingIconRenderers>::const_iterator it =
@@ -1282,7 +1237,7 @@ bool GameWorldView::drawBuildingIcon(QPainter& painter, BuildingType type,
 
     // Every icon is the same fixed on-screen size, centered on the footprint,
     // regardless of footprint size (REQ-UI-WORLD-ICON).
-    const qreal side = static_cast<qreal>(getTilePx()) * kWorldIconTileFactor;
+    const qreal side = static_cast<qreal>(coordinates.getTilePx()) * kWorldIconTileFactor;
     const QRectF target(box.center().x() - side / 2.0,
                         box.center().y() - side / 2.0, side, side);
     QSvgRenderer* renderer = isLightFill(fill) ? it->second.dark.get()
@@ -1297,7 +1252,7 @@ bool GameWorldView::drawBuildingIcon(QPainter& painter, BuildingType type,
     return true;
 }
 
-void GameWorldView::drawBuildings(QPainter& painter)
+void GameWorldView::drawBuildings(QPainter& painter, const WorldCoordinates& coordinates)
 {
     for (const Building& b : getAllBuildings(m_sim->getFactoryState()))
     {
@@ -1309,13 +1264,13 @@ void GameWorldView::drawBuildings(QPainter& painter)
         painter.setPen(Qt::NoPen);
         for (const QPoint& cell : b.bodyCells)
         {
-            painter.fillRect(tileRect(cell), bv.fill);
+            painter.fillRect(coordinates.tileRect(cell), bv.fill);
         }
 
-        const QPointF tl = tileToWidget(b.anchor);
+        const QPointF tl = coordinates.tileToWidget(b.anchor);
         const QRectF bboxRect(tl.x(), tl.y(),
-            b.footprint.width()  * static_cast<qreal>(getTilePx()),
-            b.footprint.height() * static_cast<qreal>(getTilePx()));
+            b.footprint.width()  * static_cast<qreal>(coordinates.getTilePx()),
+            b.footprint.height() * static_cast<qreal>(coordinates.getTilePx()));
 
         painter.setPen(QPen(bv.outline, 1));
         painter.setBrush(Qt::NoBrush);
@@ -1323,7 +1278,8 @@ void GameWorldView::drawBuildings(QPainter& painter)
 
         // Icon glyph over the fill (REQ-UI-WORLD-ICON); falls back to the text
         // glyph for building types without a world icon (e.g. tunnels).
-        if (!drawBuildingIcon(painter, b.type, bboxRect, bv.fill) && !bv.glyph.isEmpty())
+        if (!drawBuildingIcon(painter, coordinates, b.type, bboxRect, bv.fill)
+            && !bv.glyph.isEmpty())
         {
             painter.setPen(bv.outline);
             painter.drawText(bboxRect, Qt::AlignCenter, bv.glyph);
@@ -1331,7 +1287,8 @@ void GameWorldView::drawBuildings(QPainter& painter)
 
         for (const Port& port : b.outputPorts)
         {
-            drawPortGlyph(painter, outputBodyTile(port.tile, port.direction),
+            drawPortGlyph(painter, coordinates,
+                          outputBodyTile(port.tile, port.direction),
                           port.direction, bv.outline, /*centered*/ false);
         }
 
@@ -1343,7 +1300,7 @@ void GameWorldView::drawBuildings(QPainter& painter)
         if (const std::optional<ProductionStatus> status =
                 getProductionStatus(m_sim->getConfig(), b))
         {
-            const float px    = getTilePx();
+            const float px    = coordinates.getTilePx();
             const float r     = px * 0.18f;
             const float inset = r + px * 0.12f;
             // Default orientation (East) puts the light at the top-right corner;
@@ -1375,13 +1332,13 @@ void GameWorldView::drawBuildings(QPainter& painter)
 
         for (const QPoint& cell : s.bodyCells)
         {
-            painter.fillRect(tileRect(cell), bv.fill);
+            painter.fillRect(coordinates.tileRect(cell), bv.fill);
         }
 
-        const QPointF tl      = tileToWidget(s.anchor);
+        const QPointF tl      = coordinates.tileToWidget(s.anchor);
         const QRectF  bboxRect(tl.x(), tl.y(),
-            s.footprint.width()  * static_cast<qreal>(getTilePx()),
-            s.footprint.height() * static_cast<qreal>(getTilePx()));
+            s.footprint.width()  * static_cast<qreal>(coordinates.getTilePx()),
+            s.footprint.height() * static_cast<qreal>(coordinates.getTilePx()));
         painter.setPen(QPen(bv.outline, 1, Qt::DashLine));
         painter.setBrush(Qt::NoBrush);
         painter.drawRect(bboxRect);
@@ -1406,7 +1363,7 @@ void GameWorldView::drawBuildings(QPainter& painter)
             // Identity symbol with the progress percentage below it
             // (REQ-UI-CONSTRUCTION-PROGRESS): the world icon centered on the
             // footprint where the type has one, otherwise the text glyph.
-            if (drawBuildingIcon(painter, s.type, bboxRect, bv.fill))
+            if (drawBuildingIcon(painter, coordinates, s.type, bboxRect, bv.fill))
             {
                 painter.drawText(bboxRect, Qt::AlignHCenter | Qt::AlignBottom, pctText);
             }
@@ -1432,8 +1389,8 @@ void GameWorldView::drawBuildings(QPainter& painter)
             {
                 const QPoint absBody = s.anchor
                     + outputBodyTile(port.tile, port.direction);
-                drawPortGlyph(painter, absBody, port.direction, bv.outline,
-                              /*centered*/ false);
+                drawPortGlyph(painter, coordinates, absBody, port.direction,
+                              bv.outline, /*centered*/ false);
             }
         }
     }
@@ -1446,17 +1403,18 @@ void GameWorldView::drawBuildings(QPainter& painter)
     for (const Building& b : getAllBuildings(m_sim->getFactoryState()))
     {
         if (b.type != BuildingType::Hq) { continue; }
-        const QPointF tl = tileToWidget(b.anchor);
+        const QPointF tl = coordinates.tileToWidget(b.anchor);
         const QRectF bboxRect(tl.x(), tl.y(),
-            b.footprint.width()  * static_cast<qreal>(getTilePx()),
-            b.footprint.height() * static_cast<qreal>(getTilePx()));
+            b.footprint.width()  * static_cast<qreal>(coordinates.getTilePx()),
+            b.footprint.height() * static_cast<qreal>(coordinates.getTilePx()));
         m_sim->getAdmin().forEach<HqProxyComponent, FactionComponent, HealthComponent>(
             [&](entt::entity /*e*/, const HqProxyComponent& /*hq*/,
                 const FactionComponent& f, const HealthComponent& h)
             {
                 if (h.maxHp > 0.0f)
                 {
-                    drawHpBar(painter, bboxRect.left(), bboxRect.bottom() + 1.0,
+                    drawHpBar(painter, coordinates,
+                              bboxRect.left(), bboxRect.bottom() + 1.0,
                               bboxRect.width(), h.hp / h.maxHp, f.isEnemy);
                 }
             });
@@ -1466,10 +1424,11 @@ void GameWorldView::drawBuildings(QPainter& painter)
     // site fill, so a selected building surrounded by neighbours keeps its outline:
     // the highlight sits 1px outside the footprint (into adjacent tiles), and drawing
     // it inline would let later-drawn neighbours overpaint it with their body fill.
-    drawSelectionHighlights(painter);
+    drawSelectionHighlights(painter, coordinates);
 }
 
-std::optional<QRectF> GameWorldView::footprintWidgetRect(BuildingId id) const
+std::optional<QRectF> GameWorldView::footprintWidgetRect(
+    const WorldCoordinates& coordinates, BuildingId id) const
 {
     std::optional<QPoint> anchor;
     std::optional<QSize>  footprint;
@@ -1486,20 +1445,21 @@ std::optional<QRectF> GameWorldView::footprintWidgetRect(BuildingId id) const
     }
     if (!anchor.has_value() || !footprint.has_value()) { return std::nullopt; }
 
-    const QPointF tl = tileToWidget(*anchor);
+    const QPointF tl = coordinates.tileToWidget(*anchor);
     return QRectF(tl.x(), tl.y(),
-        footprint->width()  * static_cast<qreal>(getTilePx()),
-        footprint->height() * static_cast<qreal>(getTilePx()));
+        footprint->width()  * static_cast<qreal>(coordinates.getTilePx()),
+        footprint->height() * static_cast<qreal>(coordinates.getTilePx()));
 }
 
-void GameWorldView::drawSelectionHighlights(QPainter& painter)
+void GameWorldView::drawSelectionHighlights(QPainter& painter,
+                                            const WorldCoordinates& coordinates)
 {
     painter.setPen(QPen(m_visuals->overlays.selectedOutline, 2));
     painter.setBrush(Qt::NoBrush);
 
     for (BuildingId selId : m_selectedBuildingIds)
     {
-        const std::optional<QRectF> rect = footprintWidgetRect(selId);
+        const std::optional<QRectF> rect = footprintWidgetRect(coordinates, selId);
         if (!rect.has_value()) { continue; }
         // Outline sits 1px outside the footprint (into adjacent tiles).
         painter.drawRect(rect->adjusted(-1, -1, 1, 1));
@@ -1509,17 +1469,20 @@ void GameWorldView::drawSelectionHighlights(QPainter& painter)
     // rendered circle (radius getTilePx()*0.2, matching drawDebris) (REQ-UI-DEBRIS-CLICK-SELECT).
     if (!m_selectedDebris.empty())
     {
-        const qreal outlineRadius = static_cast<qreal>(getTilePx() * 0.2f) + 3.0;
+        const qreal outlineRadius =
+            static_cast<qreal>(coordinates.getTilePx() * 0.2f) + 3.0;
         for (const DebrisInfo& debris : getAllDebrisInfo(m_sim->getAdmin()))
         {
             if (std::find(m_selectedDebris.begin(), m_selectedDebris.end(), debris.entity)
                 == m_selectedDebris.end()) { continue; }
-            painter.drawEllipse(worldToWidget(debris.position), outlineRadius, outlineRadius);
+            painter.drawEllipse(coordinates.worldToWidget(debris.position),
+                                outlineRadius, outlineRadius);
         }
     }
 }
 
-void GameWorldView::drawCopyConfigFeedback(QPainter& painter)
+void GameWorldView::drawCopyConfigFeedback(QPainter& painter,
+                                           const WorldCoordinates& coordinates)
 {
     const QColor color = m_visuals->overlays.copyConfig;
 
@@ -1534,13 +1497,13 @@ void GameWorldView::drawCopyConfigFeedback(QPainter& painter)
         for (const Building& b : getAllBuildings(m_sim->getFactoryState()))
         {
             if (b.type != type) { continue; }
-            const std::optional<QRectF> rect = footprintWidgetRect(b.id);
+            const std::optional<QRectF> rect = footprintWidgetRect(coordinates, b.id);
             if (rect.has_value()) { painter.drawRect(*rect); }
         }
         for (const ConstructionSite& s : getAllSites(m_sim->getFactoryState()))
         {
             if (s.type != type) { continue; }
-            const std::optional<QRectF> rect = footprintWidgetRect(s.id);
+            const std::optional<QRectF> rect = footprintWidgetRect(coordinates, s.id);
             if (rect.has_value()) { painter.drawRect(*rect); }
         }
     }
@@ -1551,14 +1514,14 @@ void GameWorldView::drawCopyConfigFeedback(QPainter& painter)
     painter.setBrush(Qt::NoBrush);
     for (const CopyConfigFlash& flash : m_copyConfigFlashes)
     {
-        const std::optional<QRectF> rect = footprintWidgetRect(flash.id);
+        const std::optional<QRectF> rect = footprintWidgetRect(coordinates, flash.id);
         if (rect.has_value()) { painter.drawRect(rect->adjusted(-1, -1, 1, 1)); }
     }
 }
 
-void GameWorldView::drawPortItems(QPainter& painter)
+void GameWorldView::drawPortItems(QPainter& painter, const WorldCoordinates& coordinates)
 {
-    const float halfPx = getTilePx() * 0.5f * 0.5f;
+    const float halfPx = coordinates.getTilePx() * 0.5f * 0.5f;
 
     // Port items are drawn over the buildings (drawBuildings runs first) but clipped
     // to a thin margin at each machine's edges: the clip region is the whole view
@@ -1569,7 +1532,7 @@ void GameWorldView::drawPortItems(QPainter& painter)
     // (REQ-MAT-DIRECT-COUPLE). Transport tiles are not machines and never occlude, so
     // items on belts stay fully visible.
     constexpr double kPortMarginTiles = 0.2;
-    const double margin = kPortMarginTiles * static_cast<double>(getTilePx());
+    const double margin = kPortMarginTiles * static_cast<double>(coordinates.getTilePx());
 
     QRegion clip(rect());
     for (const Building& b : getAllBuildings(m_sim->getFactoryState()))
@@ -1588,7 +1551,8 @@ void GameWorldView::drawPortItems(QPainter& painter)
             const double t = cells.count(cell + QPoint( 0, -1)) ? 0.0 : margin;
             const double r = cells.count(cell + QPoint( 1,  0)) ? 0.0 : margin;
             const double d = cells.count(cell + QPoint( 0,  1)) ? 0.0 : margin;
-            clip = clip.subtracted(QRegion(tileRect(cell).adjusted(l, t, -r, -d).toRect()));
+            clip = clip.subtracted(
+                QRegion(coordinates.tileRect(cell).adjusted(l, t, -r, -d).toRect()));
         }
     }
 
@@ -1597,7 +1561,7 @@ void GameWorldView::drawPortItems(QPainter& painter)
     const std::function<void(const ItemType&, QPointF)> drawItem =
         [&](const ItemType& type, QPointF worldPos)
     {
-        const QPointF center = worldToWidget(
+        const QPointF center = coordinates.worldToWidget(
             QVector2D(static_cast<float>(worldPos.x()),
                       static_cast<float>(worldPos.y())));
         drawWorldItem(painter, type.id, center, halfPx);
@@ -1637,26 +1601,26 @@ void GameWorldView::drawWorldItem(QPainter& painter, const std::string& itemId,
     painter.drawRect(itemRect);
 }
 
-void GameWorldView::drawBeltItems(QPainter& painter)
+void GameWorldView::drawBeltItems(QPainter& painter, const WorldCoordinates& coordinates)
 {
-    const float halfPx = getTilePx() * 0.5f * 0.5f;
-    const QRect vr     = getViewportRect();
+    const float halfPx = coordinates.getTilePx() * 0.5f * 0.5f;
+    const QRect vr     = coordinates.getViewportRect();
 
     m_sim->getBelts().forEachVisualItem(vr, [&](const VisualItem& vi)
     {
-        const QPointF center = worldToWidget(
+        const QPointF center = coordinates.worldToWidget(
             QVector2D(static_cast<float>(vi.worldPos.x()),
                       static_cast<float>(vi.worldPos.y())));
         drawWorldItem(painter, vi.type.id, center, halfPx);
     });
 }
 
-void GameWorldView::drawDebris(QPainter& painter)
+void GameWorldView::drawDebris(QPainter& painter, const WorldCoordinates& coordinates)
 {
-    const float r = getTilePx() * 0.2f;
+    const float r = coordinates.getTilePx() * 0.2f;
     for (const DebrisInfo& debris : getAllDebrisInfo(m_sim->getAdmin()))
     {
-        const QPointF center = worldToWidget(debris.position);
+        const QPointF center = coordinates.worldToWidget(debris.position);
         painter.setBrush(QColor(128, 110, 90));
         painter.setPen(QPen(QColor(50, 40, 30), 1));
         painter.drawEllipse(center,
@@ -1664,7 +1628,7 @@ void GameWorldView::drawDebris(QPainter& painter)
     }
 }
 
-void GameWorldView::drawStations(QPainter& painter)
+void GameWorldView::drawStations(QPainter& painter, const WorldCoordinates& coordinates)
 {
     m_sim->getAdmin().forEach<StationBodyComponent, FactionComponent, HealthComponent>(
         [&](entt::entity e, const StationBodyComponent& sb, const FactionComponent& f,
@@ -1681,13 +1645,14 @@ void GameWorldView::drawStations(QPainter& painter)
             painter.setPen(Qt::NoPen);
             for (const QPoint& cell : sb.bodyCells)
             {
-                painter.fillRect(tileRect(cell), bv.fill);
+                painter.fillRect(coordinates.tileRect(cell), bv.fill);
             }
 
-            const QPointF tl = tileToWidget(QPoint(sb.anchor.x(), sb.anchor.y()));
+            const QPointF tl =
+                coordinates.tileToWidget(QPoint(sb.anchor.x(), sb.anchor.y()));
             const QRectF bboxRect(tl.x(), tl.y(),
-                sb.footprint.width()  * static_cast<qreal>(getTilePx()),
-                sb.footprint.height() * static_cast<qreal>(getTilePx()));
+                sb.footprint.width()  * static_cast<qreal>(coordinates.getTilePx()),
+                sb.footprint.height() * static_cast<qreal>(coordinates.getTilePx()));
 
             painter.setPen(QPen(bv.outline, 1));
             painter.setBrush(Qt::NoBrush);
@@ -1695,7 +1660,7 @@ void GameWorldView::drawStations(QPainter& painter)
 
             // Station icon over the fill (REQ-UI-WORLD-ICON); the same symbol is
             // colored blue/red by the player/enemy fill it is drawn over.
-            drawBuildingIcon(painter, visType, bboxRect, bv.fill);
+            drawBuildingIcon(painter, coordinates, visType, bboxRect, bv.fill);
 
             if (isEntitySelected(e))
             {
@@ -1707,13 +1672,14 @@ void GameWorldView::drawStations(QPainter& painter)
             // HP bar below footprint.
             if (h.maxHp > 0.0f)
             {
-                drawHpBar(painter, bboxRect.left(), bboxRect.bottom() + 1.0,
+                drawHpBar(painter, coordinates,
+                          bboxRect.left(), bboxRect.bottom() + 1.0,
                           bboxRect.width(), h.hp / h.maxHp, f.isEnemy);
             }
         });
 }
 
-void GameWorldView::drawShips(QPainter& painter)
+void GameWorldView::drawShips(QPainter& painter, const WorldCoordinates& coordinates)
 {
     m_sim->getAdmin().forEach<ShipIdentityComponent, PositionComponent, FacingComponent,
                            FactionComponent, HealthComponent>(
@@ -1725,12 +1691,12 @@ void GameWorldView::drawShips(QPainter& painter)
                 m_visuals->ships.find(si.schematicId);
             if (it == m_visuals->ships.end()) { return; }
 
-            const QPointF center = worldToWidget(pos.value);
+            const QPointF center = coordinates.worldToWidget(pos.value);
             const QVector2D dir(std::cos(facing.radians), std::sin(facing.radians));
             const QVector2D perp(-dir.y(), dir.x());
 
-            const float fwd  = getTilePx() * 0.45f;
-            const float side = getTilePx() * 0.25f;
+            const float fwd  = coordinates.getTilePx() * 0.45f;
+            const float side = coordinates.getTilePx() * 0.25f;
 
             QPolygonF tri;
             tri << QPointF(center.x() + static_cast<qreal>(dir.x()  * fwd),
@@ -1757,22 +1723,25 @@ void GameWorldView::drawShips(QPainter& painter)
                 const qreal barW = static_cast<qreal>(fwd) * 2.0;
                 const qreal barX = center.x() - static_cast<qreal>(fwd);
                 const qreal barY = center.y() + static_cast<qreal>(fwd) + 1.0;
-                drawHpBar(painter, barX, barY, barW, h.hp / h.maxHp, fac.isEnemy);
+                drawHpBar(painter, coordinates, barX, barY, barW,
+                          h.hp / h.maxHp, fac.isEnemy);
             }
         });
 }
 
-void GameWorldView::drawHpBar(QPainter& painter, qreal left, qreal top, qreal width,
+void GameWorldView::drawHpBar(QPainter& painter, const WorldCoordinates& coordinates,
+                              qreal left, qreal top, qreal width,
                               float fraction, bool isEnemy)
 {
-    const qreal barH = static_cast<qreal>(getTilePx()) * 0.12;
+    const qreal barH = static_cast<qreal>(coordinates.getTilePx()) * 0.12;
     const float clamped = std::max(0.0f, fraction);
     painter.fillRect(QRectF(left, top, width, barH), QColor(60, 60, 60));
     painter.fillRect(QRectF(left, top, width * static_cast<qreal>(clamped), barH),
                      isEnemy ? QColor(200, 60, 60) : QColor(60, 200, 60));
 }
 
-void GameWorldView::drawDebugSensorRanges(QPainter& painter)
+void GameWorldView::drawDebugSensorRanges(QPainter& painter,
+                                          const WorldCoordinates& coordinates)
 {
     painter.setBrush(Qt::NoBrush);
     m_sim->getAdmin().forEach<ShipIdentityComponent, PositionComponent, FacingComponent,
@@ -1785,9 +1754,9 @@ void GameWorldView::drawDebugSensorRanges(QPainter& painter)
                 m_visuals->ships.find(si.schematicId);
             if (it == m_visuals->ships.end()) { return; }
 
-            const QPointF center   = worldToWidget(pos.value);
+            const QPointF center   = coordinates.worldToWidget(pos.value);
             const qreal   radiusPx = static_cast<qreal>(sensor.value_tiles)
-                                     * static_cast<qreal>(getTilePx());
+                                     * static_cast<qreal>(coordinates.getTilePx());
             QColor circleColor = it->second.outline;
             circleColor.setAlpha(77);
             painter.setPen(QPen(circleColor, 1));
@@ -1795,7 +1764,8 @@ void GameWorldView::drawDebugSensorRanges(QPainter& painter)
         });
 }
 
-void GameWorldView::drawDebugTargetLines(QPainter& painter)
+void GameWorldView::drawDebugTargetLines(QPainter& painter,
+                                         const WorldCoordinates& coordinates)
 {
     // Draw a thin translucent line from a ship to a target, colored by the ship's
     // own schematic fill. Shared by the attack, repair and salvage target lines.
@@ -1810,7 +1780,8 @@ void GameWorldView::drawDebugTargetLines(QPainter& painter)
         QColor lineColor = it->second.fill;
         lineColor.setAlpha(128);
         painter.setPen(QPen(lineColor, 1));
-        painter.drawLine(worldToWidget(from), worldToWidget(to));
+        painter.drawLine(coordinates.worldToWidget(from),
+                         coordinates.worldToWidget(to));
     };
 
     m_sim->getAdmin().forEach<ShipIdentityComponent, PositionComponent, AttackBehavior>(
@@ -1896,7 +1867,7 @@ void GameWorldView::drawDebugOverlay(QPainter& painter)
     }
 }
 
-void GameWorldView::drawBeams(QPainter& painter)
+void GameWorldView::drawBeams(QPainter& painter, const WorldCoordinates& coordinates)
 {
     const QPainter::RenderHints savedHints = painter.renderHints();
     painter.setRenderHint(QPainter::Antialiasing, true);
@@ -1915,8 +1886,8 @@ void GameWorldView::drawBeams(QPainter& painter)
             case BeamKind::Salvage: color = m_visuals->beams.salvageColor; break;
         }
 
-        const QPointF s = worldToWidget(*shooterPos);
-        const QPointF t = worldToWidget(*targetPos + beam.targetOffset);
+        const QPointF s = coordinates.worldToWidget(*shooterPos);
+        const QPointF t = coordinates.worldToWidget(*targetPos + beam.targetOffset);
 
         // Unit direction/perpendicular of the beam in widget space. A degenerate
         // zero-length beam (shooter and target coincide) has no direction to
@@ -1965,7 +1936,8 @@ void GameWorldView::drawBeams(QPainter& painter)
     painter.setRenderHints(savedHints);
 }
 
-void GameWorldView::drawSelectedTunnelConnections(QPainter& painter)
+void GameWorldView::drawSelectedTunnelConnections(QPainter& painter,
+                                                  const WorldCoordinates& coordinates)
 {
     if (m_selectedBuildingIds.empty()) { return; }
 
@@ -2015,14 +1987,14 @@ void GameWorldView::drawSelectedTunnelConnections(QPainter& painter)
     const QColor green = m_visuals->overlays.tunnelPreview;
     for (const QPoint& tile : highlightTiles)
     {
-        painter.fillRect(tileRect(tile), green);
+        painter.fillRect(coordinates.tileRect(tile), green);
     }
 }
 
-void GameWorldView::drawOverlays(QPainter& painter)
+void GameWorldView::drawOverlays(QPainter& painter, const WorldCoordinates& coordinates)
 {
     // Green connection highlight for any selected tunnel end (REQ-BLD-TUNNEL-SELECT-HIGHLIGHT).
-    drawSelectedTunnelConnections(painter);
+    drawSelectedTunnelConnections(painter, coordinates);
 
     // Builder-mode ghost
     if (m_builderType.has_value())
@@ -2041,8 +2013,8 @@ void GameWorldView::drawOverlays(QPainter& painter)
                     continue;
                 }
                 const BeltPathTile& entry = m_beltDragPath[index];
-                drawBuildingGhost(painter, BuildingType::Belt, entry.tile,
-                                  entry.rotation,
+                drawBuildingGhost(painter, coordinates, BuildingType::Belt,
+                                  entry.tile, entry.rotation,
                                   /*valid*/ item.action != BeltTileAction::Invalid,
                                   /*showPortTargetGlyphs*/ true);
             }
@@ -2056,7 +2028,7 @@ void GameWorldView::drawOverlays(QPainter& painter)
             if (inTunnelMode() && m_ghostValid && m_tunnelPartnerTile.has_value())
             {
                 const QColor green = m_visuals->overlays.tunnelPreview;
-                painter.fillRect(tileRect(*m_tunnelPartnerTile), green);
+                painter.fillRect(coordinates.tileRect(*m_tunnelPartnerTile), green);
 
                 // Partner and ghost tile are colinear along the tunnel run; tint the
                 // tiles strictly between them.
@@ -2065,12 +2037,12 @@ void GameWorldView::drawOverlays(QPainter& painter)
                                   (delta.y() > 0) - (delta.y() < 0));
                 for (QPoint t = m_ghostTile + step; t != *m_tunnelPartnerTile; t += step)
                 {
-                    painter.fillRect(tileRect(t), green);
+                    painter.fillRect(coordinates.tileRect(t), green);
                 }
             }
 
-            drawBuildingGhost(painter, effectiveBuilderType(), m_ghostTile,
-                              m_ghostRotation, m_ghostValid,
+            drawBuildingGhost(painter, coordinates, effectiveBuilderType(),
+                              m_ghostTile, m_ghostRotation, m_ghostValid,
                               /*showPortTargetGlyphs*/ true);
         }
     }
@@ -2085,8 +2057,8 @@ void GameWorldView::drawOverlays(QPainter& painter)
             if (!m_sim->isBuildingUnlocked(bb.type)) { continue; }
             const QPoint anchor = m_blueprintGhostTile + bb.offset;
             const bool   valid  = isValidPlacement(bb.type, anchor, bb.rotation);
-            drawBuildingGhost(painter, bb.type, anchor, bb.rotation, valid,
-                              /*showPortTargetGlyphs*/ false);
+            drawBuildingGhost(painter, coordinates, bb.type, anchor, bb.rotation,
+                              valid, /*showPortTargetGlyphs*/ false);
         }
     }
 
@@ -2097,7 +2069,8 @@ void GameWorldView::drawOverlays(QPainter& painter)
         if (!b.queuedForDeconstruction) { continue; }
         for (const QPoint& cell : b.bodyCells)
         {
-            painter.fillRect(tileRect(cell), m_visuals->overlays.deconstructTint);
+            painter.fillRect(coordinates.tileRect(cell),
+                             m_visuals->overlays.deconstructTint);
         }
     }
 
@@ -2117,7 +2090,8 @@ void GameWorldView::drawOverlays(QPainter& painter)
             {
                 for (const QPoint& cell : *cells)
                 {
-                    painter.fillRect(tileRect(cell), m_visuals->overlays.deconstructTint);
+                    painter.fillRect(coordinates.tileRect(cell),
+                                     m_visuals->overlays.deconstructTint);
                 }
             }
         }
@@ -2129,7 +2103,8 @@ void GameWorldView::drawOverlays(QPainter& painter)
         {
             for (const QPoint& cell : b->bodyCells)
             {
-                painter.fillRect(tileRect(cell), m_visuals->overlays.deconstructTint);
+                painter.fillRect(coordinates.tileRect(cell),
+                                 m_visuals->overlays.deconstructTint);
             }
         }
     }
@@ -2141,14 +2116,17 @@ void GameWorldView::drawOverlays(QPainter& painter)
                         std::min(m_boxStartTile.y(), m_boxCurrentTile.y()));
         const QPoint br(std::max(m_boxStartTile.x(), m_boxCurrentTile.x()) + 1,
                         std::max(m_boxStartTile.y(), m_boxCurrentTile.y()) + 1);
-        const QRectF selRect(tileToWidget(tl), tileToWidget(br));
+        const QRectF selRect(coordinates.tileToWidget(tl),
+                             coordinates.tileToWidget(br));
         painter.setPen(QPen(m_visuals->overlays.selectionRect, 1));
         painter.setBrush(Qt::NoBrush);
         painter.drawRect(selRect);
     }
 }
 
-void GameWorldView::drawBuildingGhost(QPainter& painter, BuildingType type,
+void GameWorldView::drawBuildingGhost(QPainter& painter,
+                                      const WorldCoordinates& coordinates,
+                                      BuildingType type,
                                       QPoint anchorTile, Rotation rotation,
                                       bool valid, bool showPortTargetGlyphs)
 {
@@ -2179,17 +2157,17 @@ void GameWorldView::drawBuildingGhost(QPainter& painter, BuildingType type,
     QPoint maxCell = parsed.bodyCells.front();
     for (const QPoint& cell : parsed.bodyCells)
     {
-        painter.fillRect(tileRect(anchorTile + cell), fillColor);
+        painter.fillRect(coordinates.tileRect(anchorTile + cell), fillColor);
         minCell.setX(std::min(minCell.x(), cell.x()));
         minCell.setY(std::min(minCell.y(), cell.y()));
         maxCell.setX(std::max(maxCell.x(), cell.x()));
         maxCell.setY(std::max(maxCell.y(), cell.y()));
     }
 
-    const QPointF tl = tileToWidget(anchorTile + minCell);
+    const QPointF tl = coordinates.tileToWidget(anchorTile + minCell);
     const QRectF  bboxRect(tl.x(), tl.y(),
-        (maxCell.x() - minCell.x() + 1) * static_cast<qreal>(getTilePx()),
-        (maxCell.y() - minCell.y() + 1) * static_cast<qreal>(getTilePx()));
+        (maxCell.x() - minCell.x() + 1) * static_cast<qreal>(coordinates.getTilePx()),
+        (maxCell.y() - minCell.y() + 1) * static_cast<qreal>(coordinates.getTilePx()));
 
     painter.setPen(QPen(lineColor, 1));
     painter.setBrush(Qt::NoBrush);
@@ -2197,7 +2175,8 @@ void GameWorldView::drawBuildingGhost(QPainter& painter, BuildingType type,
 
     // Icon glyph over the ghost fill (REQ-UI-WORLD-ICON); an invalid ghost's fill
     // is the red invalid color, which auto-contrasts to a white icon.
-    if (!drawBuildingIcon(painter, type, bboxRect, fillColor) && !bv.glyph.isEmpty())
+    if (!drawBuildingIcon(painter, coordinates, type, bboxRect, fillColor)
+        && !bv.glyph.isEmpty())
     {
         painter.setPen(lineColor);
         painter.drawText(bboxRect, Qt::AlignCenter, bv.glyph);
@@ -2205,7 +2184,8 @@ void GameWorldView::drawBuildingGhost(QPainter& painter, BuildingType type,
 
     for (const Port& port : parsed.outputPorts)
     {
-        drawPortGlyph(painter, anchorTile + outputBodyTile(port.tile, port.direction),
+        drawPortGlyph(painter, coordinates,
+                      anchorTile + outputBodyTile(port.tile, port.direction),
                       port.direction, lineColor, /*centered*/ false);
     }
 
@@ -2221,8 +2201,8 @@ void GameWorldView::drawBuildingGhost(QPainter& painter, BuildingType type,
     {
         for (const Port& port : parsed.outputPorts)
         {
-            drawPortGlyph(painter, anchorTile + port.tile, port.direction,
-                          lineColor, /*centered*/ true);
+            drawPortGlyph(painter, coordinates, anchorTile + port.tile,
+                          port.direction, lineColor, /*centered*/ true);
         }
     }
 
@@ -2483,6 +2463,8 @@ void GameWorldView::keyReleaseEvent(QKeyEvent* event)
 
 void GameWorldView::mousePressEvent(QMouseEvent* event)
 {
+    const WorldCoordinates coordinates = getCoordinates();
+
     if (event->button() != Qt::LeftButton)
     {
         if (event->button() == Qt::RightButton)
@@ -2507,7 +2489,7 @@ void GameWorldView::mousePressEvent(QMouseEvent* event)
             {
                 // Shift + right-click copies a building's settings, but only in the
                 // default selection mode (REQ-BLD-COPY-CONFIG).
-                const QPoint tile = widgetToTile(event->pos());
+                const QPoint tile = coordinates.widgetToTile(event->pos());
                 std::optional<BuildingId> id = buildingAtTile(tile);
                 if (!id.has_value()) { id = siteAtTile(tile); }
                 if (id.has_value()) { copyConfigFrom(*id); }
@@ -2516,7 +2498,7 @@ void GameWorldView::mousePressEvent(QMouseEvent* event)
         return;
     }
 
-    const QPoint tile = widgetToTile(event->pos());
+    const QPoint tile = coordinates.widgetToTile(event->pos());
 
     if (m_builderType.has_value())
     {
@@ -2527,7 +2509,7 @@ void GameWorldView::mousePressEvent(QMouseEvent* event)
             // is placed until release (REQ-BLD-BELT-DRAG).
             m_dragging       = true;
             m_beltDragAnchor = tile;
-            m_cursorWorldPos = widgetToWorld(event->pos());
+            m_cursorWorldPos = coordinates.widgetToWorld(event->pos());
             recomputeBeltDragPath(tile);
         }
         else
@@ -2564,7 +2546,7 @@ void GameWorldView::mousePressEvent(QMouseEvent* event)
         }
 
         const bool ctrl = (event->modifiers() & Qt::ControlModifier) != 0;
-        const QVector2D worldPos = widgetToWorld(event->pos());
+        const QVector2D worldPos = coordinates.widgetToWorld(event->pos());
 
         // Point hit-test precedence: buildings win over actors, which win over debris
         // (REQ-UI-SELECTION-CATEGORIES).
@@ -2690,8 +2672,9 @@ void GameWorldView::mousePressEvent(QMouseEvent* event)
 
 void GameWorldView::mouseMoveEvent(QMouseEvent* event)
 {
-    const QPoint tile = widgetToTile(event->pos());
-    m_cursorWorldPos  = widgetToWorld(event->pos());
+    const WorldCoordinates coordinates = getCoordinates();
+    const QPoint tile = coordinates.widgetToTile(event->pos());
+    m_cursorWorldPos  = coordinates.widgetToWorld(event->pos());
 
     if (m_builderType.has_value())
     {
diff --git a/src/ui/GameWorldView.h b/src/ui/GameWorldView.h
index a211668..45523f3 100644
--- a/src/ui/GameWorldView.h
+++ b/src/ui/GameWorldView.h
@@ -49,6 +49,7 @@
 #include "TickDriver.h"
 #include "TunnelCompletion.h"
 #include "VisualsConfig.h"
+#include "WorldCoordinates.h"
 
 struct Command;
 struct ParsedReplay;
@@ -129,28 +130,32 @@ private:
     // Used to pre-validate placements whose UI follow-up depends on success.
     bool canAfford(BuildingType type) const;
 
-    void drawTiles(QPainter& painter);
-    void drawPortItems(QPainter& painter);
-    void drawBuildings(QPainter& painter);
-    void drawSelectionHighlights(QPainter& painter);
-    void drawCopyConfigFeedback(QPainter& painter);
-    void drawStations(QPainter& painter);
-    void drawBeltItems(QPainter& painter);
+    // World-space drawing takes the frame's transform (see getCoordinates()) rather
+    // than reaching for the scroll position and viewport size itself; the
+    // screen-space draws below need neither.
+    void drawTiles(QPainter& painter, const WorldCoordinates& coordinates);
+    void drawPortItems(QPainter& painter, const WorldCoordinates& coordinates);
+    void drawBuildings(QPainter& painter, const WorldCoordinates& coordinates);
+    void drawSelectionHighlights(QPainter& painter, const WorldCoordinates& coordinates);
+    void drawCopyConfigFeedback(QPainter& painter, const WorldCoordinates& coordinates);
+    void drawStations(QPainter& painter, const WorldCoordinates& coordinates);
+    void drawBeltItems(QPainter& painter, const WorldCoordinates& coordinates);
     // Draws a single item centered at widget-space `center`, spanning `halfPx` in
     // each direction (a half-tile). Uses the item's icon when one exists
     // (REQ-UI-ITEM-ICON), otherwise falls back to the colored square from
     // visuals.toml. Shared by drawBeltItems and drawPortItems.
     void drawWorldItem(QPainter& painter, const std::string& itemId,
                        QPointF center, float halfPx);
-    void drawDebris(QPainter& painter);
-    void drawShips(QPainter& painter);
-    void drawHpBar(QPainter& painter, qreal left, qreal top, qreal width,
+    void drawDebris(QPainter& painter, const WorldCoordinates& coordinates);
+    void drawShips(QPainter& painter, const WorldCoordinates& coordinates);
+    void drawHpBar(QPainter& painter, const WorldCoordinates& coordinates,
+                   qreal left, qreal top, qreal width,
                    float fraction, bool isEnemy);
-    void drawDebugSensorRanges(QPainter& painter);
-    void drawDebugTargetLines(QPainter& painter);
+    void drawDebugSensorRanges(QPainter& painter, const WorldCoordinates& coordinates);
+    void drawDebugTargetLines(QPainter& painter, const WorldCoordinates& coordinates);
     void drawDebugOverlay(QPainter& painter);
-    void drawBeams(QPainter& painter);
-    void drawOverlays(QPainter& painter);
+    void drawBeams(QPainter& painter, const WorldCoordinates& coordinates);
+    void drawOverlays(QPainter& painter, const WorldCoordinates& coordinates);
     void drawScreenSpace(QPainter& painter);
     // Vignette-style border shown while the game is paused (speed 0x, REQ-UI-PAUSE-BORDER)
     // to make the paused state hard to miss: a black frame whose alpha fades from 50% at
@@ -166,20 +171,16 @@ private:
     void drawVignetteBorder(QPainter& painter, const QColor& edgeColor);
     void drawReplayOverlay(QPainter& painter);
 
-    float    getTilePx() const;
-    float    getViewportWidthTiles() const;
-    // World-X (tiles) at the left edge of the viewport. m_scrollXTiles stores the
-    // view center; this derives the left edge the world<->widget conversions need.
-    float    getViewLeftTiles() const;
-    QPointF  worldToWidget(QVector2D worldPos) const;
-    QPointF  tileToWidget(QPoint tile) const;
-    QPoint   widgetToTile(QPoint widgetPt) const;
-    QRectF   tileRect(QPoint tile) const;
-    QRect    getViewportRect() const;
+    // The world <-> widget transform for the current viewport size and scroll
+    // position. Cheap to build and deliberately not cached: it is a snapshot that
+    // a resize or a scroll invalidates, so every user takes a fresh one.
+    WorldCoordinates getCoordinates() const;
+
     // Widget-space rectangle covering a building or construction site's footprint,
     // or nullopt if the id resolves to neither. Shared by the selection highlight
     // and the copy-settings feedback (REQ-BLD-COPY-CONFIG-FEEDBACK).
-    std::optional<QRectF> footprintWidgetRect(BuildingId id) const;
+    std::optional<QRectF> footprintWidgetRect(const WorldCoordinates& coordinates,
+                                              BuildingId id) const;
 
     float    getAsteroidLeftEdge() const;
     float    getEnemyStationRightEdge() const;
@@ -193,13 +194,13 @@ private:
     // Ids of all buildings and construction sites whose footprint intersects
     // the tile box spanned by the two (unordered) corner tiles.
     std::vector<BuildingId> buildingsInBox(QPoint cornerA, QPoint cornerB) const;
-    QVector2D  widgetToWorld(QPoint widgetPt) const;
 
-    void     drawPortGlyph(QPainter& painter, QPoint tile,
-                           Rotation direction, const QColor& color,
+    void     drawPortGlyph(QPainter& painter, const WorldCoordinates& coordinates,
+                           QPoint tile, Rotation direction, const QColor& color,
                            bool centered);
 
-    void     drawBuildingGhost(QPainter& painter, BuildingType type,
+    void     drawBuildingGhost(QPainter& painter, const WorldCoordinates& coordinates,
+                               BuildingType type,
                                QPoint anchorTile, Rotation rotation, bool valid,
                                bool showPortTargetGlyphs);
 
@@ -213,7 +214,8 @@ private:
     // Draws a building's world icon glyph centered in box, choosing the white or
     // dark pre-rendered variant by fill luminance so it stays legible. Returns
     // false if the type has no world icon (caller falls back to the text glyph).
-    bool     drawBuildingIcon(QPainter& painter, BuildingType type,
+    bool     drawBuildingIcon(QPainter& painter, const WorldCoordinates& coordinates,
+                              BuildingType type,
                               const QRectF& box, const QColor& fill) const;
 
     void     placeBlueprintAtTile(QPoint center);
@@ -254,7 +256,8 @@ private:
     static TunnelLookup makeTunnelLookup(const TunnelTileMap& tunnels);
     // Draws the green connection highlight for every selected tunnel end that has a
     // matching end (REQ-BLD-TUNNEL-SELECT-HIGHLIGHT).
-    void         drawSelectedTunnelConnections(QPainter& painter);
+    void         drawSelectedTunnelConnections(QPainter& painter,
+                                               const WorldCoordinates& coordinates);
 
     // Belt drag placement (REQ-BLD-BELT-DRAG).
     // Per-path-tile decision, shared by ghost drawing and release-time placement.