The Fourth Dimension

Hypercubes by analogy

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

• An n-cube has 2ⁿ corners and n·2ⁿ⁻¹ edges.
• A tesseract has 16 corners, 32 edges, 24 squares and 8 cubes.
• We study 4D objects through their shadows and slices, by analogy with lower dimensions.

Steps

1. Dragging into new directions
2. Corners of a tesseract
3. Cubes of every dimension
4. A turning tesseract
5. Visitors from 4D
6. Faces of a tesseract