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### Randomly generated simple polytopes with given number of vertices

Hi there,

I wonder if there is a way of generating random simple polytopes with a given number of vertices.

Thank you, and regards, Guillermo

### Randomly generated simple polytopes with given number of vertices

Hi there,

I wonder if there is a way of generating random simple polytopes with a given number of vertices.

A simple is a d-polytope is a polytope in which every vertex is part of precisely d facets, equivalently precisely d edges.

Thank you, and regards, Guillermo

### Randomly generated simple polytopes with given number of vertices

Hi there,

I wonder if there is a way of generating random simple polytopes with a given number of vertices.vertices. By "random" I simply mean constructing a polytope by sampling points on the unit sphere.

A simple d-polytope is a d-polytope is a polytope in which every vertex is part of precisely d facets, equivalently or equivalently, of precisely d edges.

Thank you, and regards, Guillermo

 4 No.4 Revision tmonteil 24353 ●27 ●176 ●449 http://wiki.sagemath.o...

### Randomly generated simple polytopes with given number of vertices

Hi there,

I wonder if there is a way of generating random simple polytopes with a given number of vertices.

EDIT

By "random" I simply mean constructing a polytope by sampling points on the unit sphere.

A simple d-polytope is a d-polytope in which every vertex is part of precisely d facets, or equivalently, of precisely d edges.

Thank you, and regards, Guillermo