pat wrote:{ p, q, r } refers to a regular, four-dimensional polytope with facets that are { p, q }'s where r of them meet at each vertex. So, the hypercube is { 4, 3, 3 } because three facets meet at each vertex and each of those facets is a cube { 4, 3 }.
bo198214 wrote:in {q<sub>1</sub>,...,q<sub>d-1</sub>} always q<sub>d-1</sub> facets meet at each d-3 dimensional subface?
@Wendy
So is this a "yes" to bo198214 wrote:
in {q1,...,qd-1} always qd-1 facets meet at each d-3 dimensional subface?
Or in your terminology: in a polytope {p2,...,pN} always meet pN facets at an N-3 dimensional subface (which is of type {p2,...,pN-3})?
Seldon wrote:In the science magazine DISCOVER, there was an article about the fourth dimension. The article said that a regular 11-cell is possible in tetraspace. What do you guys make of this?
Seldon
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