Tesseract Projection
A tesseract is the four-dimensional cousin of the cube: 16 vertices, 32 edges, 8 cubic cells. You cannot see it directly, but you can watch its shadow. This tool rotates the hypercube in the planes unique to 4D — XW, YW, ZW — and projects it down to 3D and then to your screen. The famous cube-inside-a-cube picture turns inside out as the inner cube swings through the fourth dimension to become the outer one. Sliders control each rotation plane’s speed.
Runs 100% in your browser — simulations are computed locally on your device.
Read the full guide to this tool
Notes
- The tesseract’s vertices are all 16 sign choices of (±1, ±1, ±1, ±1); edges join vertices differing in one coordinate.
- In 4D you rotate in a plane, not about an axis — XW, YW and ZW rotations have no 3D counterpart.
- The inner cube of the shadow is just the part of the tesseract farther away in the W direction.
- Runs 100% in your browser — simulations are computed locally on your device.
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