A 3D projection of the 8-cell (Hypercube), one of the 6 regular polytopes in four dimensions.

4D Polytopes (or polychora) are the 4-dimensional analogous of the 2D polygons and 3D polyhedra.

Regular polychora are composed of a finite set of cells (polyhedra), all regular and alike, surrounding each edge in an identical way.

We cannot see a 4D polytope, but we can project it in 3D (in the same way as we make a flat drawing of a polyhedron).

The 8-cell is composed of 8 cubes.

This is a parallel projection of the polytope, in which no edges intersect each other, but some cells do (for example the two regular cubes). The edges are all the same length.

Dimensions

IN: 1.05 w x 1.05 d x 1.05 h
CM: 2.666 w x 2.666 d x 2.666 h

Comments

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This is AMAZING! It's also known as a tesseract.
March 13, 2010, 3:27 pm
 
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