diff --git a/game/README.md b/game/README.md
index 5ca6960..90e078e 100644
--- a/game/README.md
+++ b/game/README.md
@@ -49,4 +49,6 @@ F2 shows speed, hold time, position and the 28×76 player body. The hero current
 uses the idle atlas pose on the ground; full animation switching is delivered by #31.
 Space/K or gamepad A/Cross jumps, with about 52px tap height and 96px held height,
 0.1s coyote time and 0.12s buffering. Landing uses the drawn landing pose; falls
-of at least 152px use the four-frame hard landing. Slopes and ladders follow separately.
+of at least 152px use the four-frame hard landing. Authored walk polylines follow
+slopes through 40°; steeper surfaces accelerate downhill, with jumping still available.
+F2 shows the contact slope and slide state. One-way platforms and ladders follow separately.
diff --git a/game/src/player/body.ts b/game/src/player/body.ts
index a94e933..827190c 100644
--- a/game/src/player/body.ts
+++ b/game/src/player/body.ts
@@ -2,15 +2,22 @@ import type { Box, Geometry } from '../stage/collision';
 import { GRAVITY } from './jump';
 export const BODY_WIDTH = 28;
 export const BODY_HEIGHT = 76;
-export interface Body { x: number; y: number; vx: number; vy: number; grounded: boolean }
+export interface Body { x: number; y: number; vx: number; vy: number; grounded: boolean; slope?: number; sliding?: boolean }
 export function overlaps(body: Body, box: Box) {
   return body.x + 14 > box.x && body.x - 14 < box.x + box.w
     && body.y > box.y && body.y - BODY_HEIGHT < box.y + box.h;
 }
 
-/** Feet origin, swept wall/floor checks. Slope and one-way policies follow separately. */
+/** Feet origin and continuous polylines; one-way policy follows separately. */
 export function stepBody(body: Body, geometry: Geometry[], dt: number) {
   const oldX = body.x, oldY = body.y;
+  const wasGrounded = body.grounded;
+  const oldSlope = body.slope ?? 0;
+  if (body.sliding && wasGrounded && body.vy >= 0) {
+    const slope = body.slope ?? 0;
+    const acceleration = GRAVITY * slope / (1 + slope * slope);
+    body.vx = Math.max(-420, Math.min(420, body.vx + acceleration * dt));
+  }
   body.x += body.vx * dt;
   for (const world of geometry) for (const wall of world.solid) {
     if (oldY <= wall.y || oldY - BODY_HEIGHT >= wall.y + wall.h) continue;
@@ -23,18 +30,28 @@ export function stepBody(body: Body, geometry: Geometry[], dt: number) {
   body.vy = Math.min(900, body.vy + GRAVITY * dt);
   let nextY = body.y + body.vy * dt;
   body.grounded = false;
+  body.sliding = false;
+  body.slope = 0;
   for (const world of geometry) {
-    for (const line of world.walk) for (let i = 1; i < line.length; i++) {
+    for (const line of [...world.walk, ...world.slide]) for (let i = 1; i < line.length; i++) {
       const [a, b] = [line[i - 1], line[i]];
-      if (a[1] !== b[1] || body.x < a[0] || body.x > b[0]) continue;
-      if (body.vy >= 0 && oldY <= a[1] + 0.01 && nextY >= a[1]) {
-        nextY = a[1]; body.vy = 0; body.grounded = true;
+      if (body.x < a[0] || body.x > b[0]) continue;
+      const slope = (b[1] - a[1]) / (b[0] - a[0]);
+      const surface = a[1] + (body.x - a[0]) * slope;
+      const crossedEnd = oldX < a[0] && body.x >= a[0] || oldX > b[0] && body.x <= b[0];
+      // The authored chunk seams differ by up to 5px. Only bridge that small
+      // endpoint mismatch while already grounded, never snap a falling body up.
+      const follows = wasGrounded && Math.abs(surface - oldY)
+        <= Math.abs(body.x - oldX) * Math.max(Math.abs(slope), Math.abs(oldSlope)) + (crossedEnd ? 6 : 0.1);
+      if (body.vy >= 0 && (follows || oldY <= surface + 0.01 && nextY >= surface)) {
+        nextY = surface; body.vy = 0; body.grounded = true; body.slope = slope;
+        body.sliding = Math.abs(Math.atan(slope)) > 40 * Math.PI / 180 + 1e-9;
       }
     }
     for (const wall of world.solid) {
       if (body.x + 14 <= wall.x || body.x - 14 >= wall.x + wall.w) continue;
       if (body.vy >= 0 && oldY <= wall.y && nextY >= wall.y) {
-        nextY = wall.y; body.vy = 0; body.grounded = true;
+        nextY = wall.y; body.vy = 0; body.grounded = true; body.slope = 0; body.sliding = false;
       } else if (body.vy < 0 && oldY - BODY_HEIGHT >= wall.y + wall.h && nextY - BODY_HEIGHT < wall.y + wall.h) {
         nextY = wall.y + wall.h + BODY_HEIGHT; body.vy = 0;
       }
diff --git a/game/src/player/player.ts b/game/src/player/player.ts
index a7ae3d7..c6abb0a 100644
--- a/game/src/player/player.ts
+++ b/game/src/player/player.ts
@@ -37,7 +37,8 @@ export class Player {
     let remaining = Math.min(milliseconds / 1000, 0.1);
     while (remaining > 1e-9) {
       const dt = Math.min(remaining, 1 / 120);
-      move(this.motion, axis, dt); this.body.vx = this.motion.vx;
+      move(this.motion, axis, dt);
+      if (!this.body.sliding) this.body.vx = this.motion.vx;
       jump(this.body, this.air, jumpDown, dt);
       const wasGrounded = this.body.grounded;
       stepBody(this.body, this.chunks.map(c => c.world), dt);
@@ -46,13 +47,14 @@ export class Player {
       remaining -= dt;
     }
     if (this.body.y > 900 || this.chunks.some(c => c.world.noGo.some(box => overlaps(this.body, box)))) {
-      Object.assign(this.body, { x: this.spawn.x, y: this.spawn.y, vx: 0, vy: 0, grounded: true });
+      Object.assign(this.body, { x: this.spawn.x, y: this.spawn.y, vx: 0, vy: 0, grounded: true, sliding: false, slope: 0 });
       this.motion = movement();
       this.air = jumpState(this.body.y);
     }
     const pose = this.air.landing > 0 ? this.air.hard
       ? `hard-landing-${String(Math.min(3, Math.floor((4 / 12 - this.air.landing) * 12))).padStart(2, '0')}`
-      : 'jump-08' : !this.body.grounded ? this.body.vy < 0 ? 'jump-02' : 'fall-00' : null;
+      : 'jump-08' : this.body.sliding ? `fall-${String(Math.floor(this.scene.time.now * 12 / 1000) % 3).padStart(2, '0')}`
+      : !this.body.grounded ? this.body.vy < 0 ? 'jump-02' : 'fall-00' : null;
     if (pose && this.scene.textures.get('hero-air').has(pose)) this.sprite.setTexture('hero-air', pose);
     else this.sprite.setTexture('hero-move', 'idle-00');
     this.sprite.setPosition(Math.round(this.body.x), Math.round(this.body.y)).setFlipX(this.motion.facing < 0);
@@ -60,6 +62,6 @@ export class Player {
     this.debug.clear();
     if (this.showDebug) this.debug.lineStyle(2, 0xffffff).strokeRect(this.body.x - BODY_WIDTH / 2,
       this.body.y - BODY_HEIGHT, BODY_WIDTH, BODY_HEIGHT);
-    this.label.setText(`vx ${this.body.vx.toFixed(1)} px/s | last ${this.lastSpeed.toFixed(1)} (${(this.lastSpeed / 43).toFixed(2)} m/s)\nheld ${this.motion.held.toFixed(2)}s | x ${this.body.x.toFixed(1)} y ${this.body.y.toFixed(1)}\njump ${this.air.height.toFixed(1)}px | landing ${this.air.hard ? 'hard' : 'normal'}`);
+    this.label.setText(`vx ${this.body.vx.toFixed(1)} px/s | last ${this.lastSpeed.toFixed(1)} (${(this.lastSpeed / 43).toFixed(2)} m/s)\nheld ${this.motion.held.toFixed(2)}s | x ${this.body.x.toFixed(1)} y ${this.body.y.toFixed(1)}\njump ${this.air.height.toFixed(1)}px | ${this.body.sliding ? 'slide' : 'walk'} slope ${(Math.atan(this.body.slope ?? 0) * 180 / Math.PI).toFixed(1)}°`);
   }
 }
diff --git a/game/src/player/slopes.test.ts b/game/src/player/slopes.test.ts
new file mode 100644
index 0000000..0fae5fc
--- /dev/null
+++ b/game/src/player/slopes.test.ts
@@ -0,0 +1,71 @@
+import { describe, expect, it } from 'vitest';
+import { stepBody, type Body } from './body';
+import { jump, jumpState } from './jump';
+import type { CollisionData, Geometry, Point } from '../stage/collision';
+import { placeCollision } from '../stage/collision';
+const terrain = (walk: Point[][], slide: Point[][] = []): Geometry => ({ walk, slide, oneWay: [], solid: [],
+  climb: [], noGo: [], hazard: [], interact: [], spawn: [], ledge: [], glideLift: [] });
+const body = (x: number, y: number, vx = 150.5): Body => ({ x, y, vx, vy: 0, grounded: true });
+describe('continuous slope contacts', () => {
+  it('follows uphill, crest and downhill without gaps at walk and run speeds', () => {
+    const world = terrain([[[0, 500], [150, 400], [300, 500], [600, 500]]]);
+    for (const speed of [150.5, 258]) {
+      const b = body(50, 500 - 50 * 2 / 3, speed);
+      for (let i = 0; i < 180; i++) {
+        stepBody(b, [world], 1 / 120);
+        expect(b.grounded).toBe(true); expect(b.sliding).toBe(false);
+        const expected = b.x < 150 ? 500 - b.x * 2 / 3 : b.x < 300 ? 400 + (b.x - 150) * 2 / 3 : 500;
+        expect(b.y).toBeCloseTo(expected, 7);
+      }
+    }
+  });
+  it('walks exactly 40 degrees and slides above it in both directions', () => {
+    const s40 = Math.tan(40 * Math.PI / 180);
+    const b = body(10, 100 + 10 * s40);
+    stepBody(b, [terrain([[[0, 100], [100, 100 + 100 * s40]]])], 1 / 120);
+    expect(b.sliding).toBe(false);
+    for (const sign of [-1, 1]) {
+      const world = terrain([], [[[0, sign < 0 ? 500 : 100], [200, sign < 0 ? 100 : 500]]]);
+      const b = body(100, 300, 0);
+      for (let i = 0; i < 30; i++) stepBody(b, [world], 1 / 120);
+      expect(b.sliding).toBe(true); expect(Math.sign(b.vx)).toBe(sign);
+      expect(Math.abs(b.vx)).toBeGreaterThan(100);
+      jump(b, jumpState(b.y), true, 1 / 120);
+      stepBody(b, [world], 1 / 120);
+      expect(b.vy).toBeLessThan(0); expect(b.grounded).toBe(false);
+    }
+  });
+  it('does not magnetize a jumping body back onto the slope', () => {
+    const b = { ...body(100, 400), grounded: false, vy: -100 };
+    stepBody(b, [terrain([[[0, 500], [500, 250]]])], 1 / 120);
+    expect(b.grounded).toBe(false); expect(b.y).toBeLessThan(400);
+  });
+  it('uses real authored Rusty Creek walk segments at both speeds', () => {
+    const files = import.meta.glob<CollisionData>('../../../art/stages/rusty-creek/*.collision.json', { eager: true, import: 'default' });
+    for (const world of Object.values(files)) for (const line of world.walk) for (let i = 1; i < line.length; i++) {
+      const [a, z] = [line[i - 1], line[i]], slope = (z[1] - a[1]) / (z[0] - a[0]);
+      for (const speed of [150.5, 258]) {
+        const b = body((a[0] + z[0]) / 2, (a[1] + z[1]) / 2, speed);
+        stepBody(b, [terrain([[a, z]])], 1 / 120);
+        expect(b.y).toBeCloseTo(a[1] + (b.x - a[0]) * slope, 7);
+        expect(b.grounded).toBe(true);
+      }
+    }
+  });
+  it('crosses the real chunk seams in both states and directions without falling through', () => {
+    const files = Object.values(import.meta.glob<CollisionData>('../../../art/stages/rusty-creek/*.collision.json', { eager: true, import: 'default' }));
+    for (const state of ['clean', 'anomaly']) for (const column of [0, 1]) {
+      const left = files.find(f => f.chunk === `rc-${column}-0` && f.state === state)!;
+      const right = files.find(f => f.chunk === `rc-${column + 1}-0` && f.state === state)!;
+      const geometry = [placeCollision(left, [0, 0]).world, placeCollision(right, [2160, 0]).world];
+      const leftY = left.walk.at(-1)!.at(-1)![1], rightY = right.walk[0][0][1];
+      for (const speed of [-258, -150.5, 150.5, 258]) {
+        const b = body(speed > 0 ? 2155 : 2165, speed > 0 ? leftY : rightY, speed);
+        for (let i = 0; i < 10; i++) {
+          stepBody(b, geometry, 1 / 120);
+          expect(b.grounded).toBe(true); expect(b.y).toBe(b.x < 2160 ? leftY : rightY);
+        }
+      }
+    }
+  });
+});