01 / THE FOURTH SPATIAL DIMENSION

Tesseract Explorer

Rotate a 4D cube and watch its intersection with 3D space change shape.

LIVE 3D CROSS-SECTION

Polyhedral slice

W = +0.35

Drag to orbit · Scroll to zoom. Arrow keys orbit; plus and minus keys zoom.

Vertices: –
Edges: –
Faces: –

CHALLENGE

Shape lock

Find a tetrahedral slice with 4 vertices, 6 edges, and 4 faces.

THE GEOMETRY

What are you seeing?

The solid is the part of the tesseract that lies at the chosen W coordinate. Here X, Y, Z, and W all measure position. In spacetime, the fourth coordinate measures time.