diff --git a/labs/folk-space.ts b/labs/folk-space.ts
index 6e7d1c7..e757a94 100644
--- a/labs/folk-space.ts
+++ b/labs/folk-space.ts
@@ -1,5 +1,7 @@
 import { FolkElement } from '@lib';
+import { DOMTransform } from '@lib/DOMTransform';
 import { html } from '@lib/tags';
+import { Point } from '@lib/types';
 import { css } from '@lit/reactive-element';
 
 declare global {
@@ -14,7 +16,7 @@ export class FolkSpace extends FolkElement {
   static styles = css`
     :host {
       display: block;
-      perspective: 1000px;
+      // perspective: 1000px;
       position: relative;
       width: 100%;
       height: 100%;
@@ -26,7 +28,6 @@ export class FolkSpace extends FolkElement {
       height: 100%;
       transform-style: preserve-3d;
       transform-origin: center;
-      transition: transform 0.6s;
     }
 
     .space.rotate {
@@ -38,6 +39,7 @@ export class FolkSpace extends FolkElement {
       width: 100%;
       height: 100%;
       backface-visibility: hidden;
+      transition: transform 0.6s linear;
     }
 
     .front {
@@ -49,15 +51,20 @@ export class FolkSpace extends FolkElement {
     }
   `;
 
+  #frontMatrix = new DOMMatrix();
+  #backMatrix = new DOMMatrix().rotate(90, 0, 0);
+  #isRotated = false;
+  #transitionProgress = 0;
+
   override createRenderRoot() {
     const root = super.createRenderRoot() as ShadowRoot;
 
     root.setHTMLUnsafe(html`
       <div class="space">
-        <div class="face front">
+        <div class="face front" style="transform: ${this.#frontMatrix}">
           <slot name="front"></slot>
         </div>
-        <div class="face back">
+        <div class="face back" style="transform: ${this.#backMatrix}">
           <slot name="back"></slot>
         </div>
       </div>
@@ -66,8 +73,61 @@ export class FolkSpace extends FolkElement {
     return root;
   }
 
+  localToScreen(point: Point, face: 'front' | 'back'): Point {
+    const spaceRect = this.getBoundingClientRect();
+    const centerY = spaceRect.height / 2;
+
+    // Calculate transition rotation
+    let rotation = 0;
+    if (face === 'front') {
+      // When rotating to back, go from 0 to -90
+      // When rotating to front, go from -90 to 0
+      rotation = this.#isRotated ? -90 * this.#transitionProgress : -90 * (1 - this.#transitionProgress);
+    } else {
+      // When rotating to back, go from 90 to 0
+      // When rotating to front, go from 0 to 90
+      rotation = this.#isRotated ? 90 * (1 - this.#transitionProgress) : 90 * this.#transitionProgress;
+    }
+
+    const matrix = new DOMMatrix().translate(0, centerY).rotate(rotation, 0, 0).translate(0, -centerY);
+
+    const transformedPoint = matrix.transformPoint(new DOMPoint(point.x, point.y));
+
+    return {
+      x: transformedPoint.x,
+      y: transformedPoint.y,
+    };
+  }
+
   transition() {
-    const space = this.shadowRoot?.querySelector('.space');
-    space?.classList.toggle('rotate');
+    this.#isRotated = !this.#isRotated;
+
+    // Reset transition progress
+    this.#transitionProgress = 0;
+
+    // Track transition
+    const startTime = performance.now();
+    const duration = 600; // Match CSS transition duration (0.6s)
+
+    const animate = () => {
+      const elapsed = performance.now() - startTime;
+      this.#transitionProgress = Math.min(elapsed / duration, 1);
+
+      if (this.#transitionProgress < 1) {
+        requestAnimationFrame(animate);
+      }
+    };
+
+    requestAnimationFrame(animate);
+
+    // Update DOM
+    const frontFace = this.shadowRoot?.querySelector('.front');
+    const backFace = this.shadowRoot?.querySelector('.back');
+    if (frontFace instanceof HTMLElement) {
+      frontFace.style.transform = this.#isRotated ? 'rotateX(-90deg)' : 'rotateX(0deg)';
+    }
+    if (backFace instanceof HTMLElement) {
+      backFace.style.transform = this.#isRotated ? 'rotateX(0deg)' : 'rotateX(90deg)';
+    }
   }
 }
diff --git a/lib/DOMTransform.ts b/lib/DOMTransform.ts
index e8a7caf..a520b68 100644
--- a/lib/DOMTransform.ts
+++ b/lib/DOMTransform.ts
@@ -1,10 +1,11 @@
-import { Matrix } from './Matrix';
 import { Point } from './types';
 
 interface DOMTransformInit {
   x?: number;
   y?: number;
-  rotation?: number;
+  rotationX?: number;
+  rotationY?: number;
+  rotationZ?: number;
 }
 
 /**
@@ -15,20 +16,24 @@ export class DOMTransform {
   // Private properties for position and rotation
   #x: number;
   #y: number;
-  #rotation: number;
+  #rotationX: number;
+  #rotationY: number;
+  #rotationZ: number;
 
   // Internal transformation matrices
-  #transformMatrix: Matrix;
-  #inverseMatrix: Matrix;
+  #transformMatrix: DOMMatrix;
+  #inverseMatrix: DOMMatrix;
 
   constructor(init: DOMTransformInit = {}) {
     this.#x = init.x ?? 0;
     this.#y = init.y ?? 0;
-    this.#rotation = init.rotation ?? 0;
+    this.#rotationX = init.rotationX ?? 0;
+    this.#rotationY = init.rotationY ?? 0;
+    this.#rotationZ = init.rotationZ ?? 0;
 
-    // Initialize transformation matrices
-    this.#transformMatrix = Matrix.Identity();
-    this.#inverseMatrix = Matrix.Identity();
+    // Initialize with identity matrices
+    this.#transformMatrix = new DOMMatrix();
+    this.#inverseMatrix = new DOMMatrix();
 
     this.#updateMatrices();
   }
@@ -49,41 +54,74 @@ export class DOMTransform {
     this.#updateMatrices();
   }
 
+  get rotationX(): number {
+    return this.#rotationX;
+  }
+  set rotationX(value: number) {
+    this.#rotationX = value;
+    this.#updateMatrices();
+  }
+
+  get rotationY(): number {
+    return this.#rotationY;
+  }
+  set rotationY(value: number) {
+    this.#rotationY = value;
+    this.#updateMatrices();
+  }
+
+  get rotationZ(): number {
+    return this.#rotationZ;
+  }
+  set rotationZ(value: number) {
+    this.#rotationZ = value;
+    this.#updateMatrices();
+  }
+
   get rotation(): number {
-    return this.#rotation;
+    return this.#rotationZ;
   }
   set rotation(value: number) {
-    this.#rotation = value;
+    this.#rotationZ = value;
     this.#updateMatrices();
   }
 
   // Matrix accessors
-  get matrix(): Matrix {
+  get matrix(): DOMMatrix {
     return this.#transformMatrix;
   }
-  get inverse(): Matrix {
+  get inverse(): DOMMatrix {
     return this.#inverseMatrix;
   }
 
   /**
-   * Converts a point from **parent space** to **local space**.
+   * Converts a point from parent space to local space.
    */
   toPoint(point: Point): Point {
-    return this.#inverseMatrix.applyToPoint(point);
+    // Transform using DOMMatrix directly without DOMPoint
+    const { a, b, c, d, e, f } = this.#inverseMatrix;
+    return {
+      x: point.x * a + point.y * c + e,
+      y: point.x * b + point.y * d + f,
+    };
   }
 
   /**
-   * Converts a point from **local space** to **parent space**.
+   * Converts a point from local space to parent space.
    */
   toInversePoint(point: Point): Point {
-    return this.#transformMatrix.applyToPoint(point);
+    const { a, b, c, d, e, f } = this.#transformMatrix;
+    return {
+      x: point.x * a + point.y * c + e,
+      y: point.x * b + point.y * d + f,
+    };
   }
 
   /**
    * Generates a CSS transform string representing the transformation.
    */
   toCssString(): string {
-    return this.#transformMatrix.toCssString();
+    return this.#transformMatrix.toString();
   }
 
   /**
@@ -93,7 +131,9 @@ export class DOMTransform {
     return {
       x: this.x,
       y: this.y,
-      rotation: this.rotation,
+      rotationX: this.rotationX,
+      rotationY: this.rotationY,
+      rotationZ: this.rotationZ,
     };
   }
 
@@ -101,8 +141,14 @@ export class DOMTransform {
    * Updates the transformation matrices based on the current position and rotation.
    */
   #updateMatrices() {
-    this.#transformMatrix.identity().translate(this.#x, this.#y).rotate(this.#rotation);
+    // Create a fresh identity matrix
+    this.#transformMatrix = new DOMMatrix()
+      .translate(this.#x, this.#y)
+      .rotate(0, 0, this.#rotationZ)
+      .rotate(0, this.#rotationY, 0)
+      .rotate(this.#rotationX, 0, 0);
 
-    this.#inverseMatrix = this.#transformMatrix.clone().invert();
+    // DOMMatrix has built-in inverse calculation
+    this.#inverseMatrix = this.#transformMatrix.inverse();
   }
 }
diff --git a/website/canvas/space-morph.html b/website/canvas/space-morph.html
index 70898e4..d1f876a 100644
--- a/website/canvas/space-morph.html
+++ b/website/canvas/space-morph.html
@@ -1,4 +1,4 @@
-<!DOCTYPE html>
+<!doctype html>
 <html lang="en">
   <head>
     <meta charset="UTF-8" />
@@ -23,12 +23,19 @@
       [slot='front'] folk-shape {
         background: rgb(187, 178, 178);
       }
+
+      folk-rope {
+        position: absolute;
+        inset: 0;
+        pointer-events: none;
+      }
     </style>
   </head>
   <body>
+    <folk-rope id="rope"></folk-rope>
     <folk-space id="space">
       <div slot="front">
-        <folk-shape x="100" y="100" width="50" height="50"></folk-shape>
+        <folk-shape id="source" x="100" y="100" width="50" height="50"></folk-shape>
         <folk-shape x="200" y="200" width="75" height="75" rotation="90"></folk-shape>
         <folk-shape x="50" y="250" width="25" height="25" rotation="180"></folk-shape>
         <folk-shape x="350" y="50" width="100" height="100" rotation="270"></folk-shape>
@@ -37,7 +44,7 @@
         <folk-shape x="700" y="700" width="250" height="250" rotation="540"></folk-shape>
       </div>
       <div slot="back">
-        <folk-shape x="150" y="150" width="50" height="50" rotation="45"></folk-shape>
+        <folk-shape id="target" x="150" y="150" width="50" height="50" rotation="45"></folk-shape>
         <folk-shape x="300" y="400" width="150" height="50" rotation="45"></folk-shape>
         <folk-shape x="250" y="350" width="100" height="100" rotation="135"></folk-shape>
         <folk-shape x="400" y="200" width="75" height="75" rotation="225"></folk-shape>
@@ -50,8 +57,50 @@
     <script type="module">
       import '@labs/standalone/folk-space.ts';
       import '@labs/standalone/folk-shape.ts';
+      import '@labs/standalone/folk-rope.ts';
 
-      document.addEventListener('click', () => window.space.transition());
+      const space = document.getElementById('space');
+      const rope = document.getElementById('rope');
+      const source = document.getElementById('source');
+      const target = document.getElementById('target');
+
+      // Update rope connection points
+      function updateRopePoints() {
+        if (!source || !target) return;
+
+        // Get the shapes' transforms
+        const sourceTransform = source.getTransformDOMRect();
+        const targetTransform = target.getTransformDOMRect();
+
+        // Get center points in local space
+        const sourceCenter = {
+          x: sourceTransform.x + sourceTransform.width / 2,
+          y: sourceTransform.y + sourceTransform.height / 2,
+        };
+
+        const targetCenter = {
+          x: targetTransform.x + targetTransform.width / 2,
+          y: targetTransform.y + targetTransform.height / 2,
+        };
+
+        // Convert to screen space
+        const sourcePoint = space.localToScreen(sourceCenter, 'front');
+        const targetPoint = space.localToScreen(targetCenter, 'back');
+
+        // Update rope
+        rope.sourceRect = { x: sourcePoint.x, y: sourcePoint.y, width: 0, height: 0 };
+        rope.targetRect = { x: targetPoint.x, y: targetPoint.y, width: 0, height: 0 };
+      }
+
+      // Update on animation frame
+      function animate() {
+        updateRopePoints();
+        requestAnimationFrame(animate);
+      }
+      animate();
+
+      // Handle transition
+      document.addEventListener('click', () => space.transition());
     </script>
   </body>
 </html>