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The regular convex 4-polytopes are the four-dimensional analogues of the Platonic solids in three dimensions and the convex regular polygons in two dimensions. Each convex regular 4-polytope is bounded by a set of 3-dimensional cells which are all Platonic solids of the same type and size.
- Convex polytope
A convex polytope may be defined as an intersection of a...
- Regular polytope
A regular 4-polytope having cells {n, p} with q cells...
- Convex regular 4-polytope
In mathematics, a convex regular 4-polytope (or polychoron)...
- List of regular polytopes
Regular projective 4-polytopes. 5 of 6 convex regular...
- Regular convex 4-polytope
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- Convex polytope
The convex regular 4-polytopes are the four-dimensional analogues of the Platonic solids. The most familiar 4-polytope is the tesseract or hypercube, the 4D analogue of the cube. The convex regular 4-polytopes can be ordered by size as a measure of 4-dimensional content (hypervolume) for the same radius.
