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.


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


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


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