by Ciro Santilli (@cirosantilli, 37)
square, cube. 4D case known as tesseract.
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)
From this we see that there are vertices.
Two vertices are linked iff they differ by a single number. So each vertex has D neighbors.
The non-regular version of the hypercube.

Ancestors (7)

  1. Classification of regular polytopes
  2. Regular polytope
  3. Polytope
  4. Geometry
  5. Area of mathematics
  6. Mathematics
  7. Home

Incoming links (2)

View article source

Discussion (0)

+ New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic + Create my own version