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Hypercube

| 🗖 nosplit | ↑ parent "Classification of regular polytopes" | words: 112 | descendant words: 132 | descendants: 1
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square, cube. 4D case known as tesseract.
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Convex hull of all (Cartesian product power) D-tuples, e.g. in 3D:
( 1,  1,  1)
( 1,  1, -1)
( 1, -1,  1)
( 1, -1, -1)
(-1,  1,  1)
(-1,  1, -1)
(-1, -1,  1)
(-1, -1, -1)
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From this we see that there are vertices.
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Two vertices are linked iff they differ by a single number. So each vertex has D neighbors.
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Ancestors

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