# Message #1423

From: Melinda Green <melinda@superliminal.com>

Subject: Re: [MC4D] Regular Polytopes in 4D

Date: Wed, 16 Feb 2011 21:02:23 -0800

That’s not entirely correct. Don’t forget the four Kepler–Poinsot star

polytopes <http://en.wikipedia.org/wiki/Kepler-Poinsot_polyhedra> and

the three regular skew polyhedr

<http://en.wikipedia.org/wiki/Infinite_skew_polyhedron>a

<http://en.wikipedia.org/wiki/Infinite_skew_polyhedron>. These are every

bit as regular as the regular convex polyhedra and deserve equal legitimacy.

-Melinda

On 2/16/2011 1:54 PM, Eduard wrote:

>

> There are only 6 regular polytopes in 4D.

>

> * The 5-cell corresponding to the tetrahedron in 3D

> * The 8-cell corresponding to the cube in 3D

> * The 16-cell corresponding to the octahedron in 3D

> * The 24-cell corresponding to nothing in 3D

> * The 120-cell corresponding to the dodecahedron in 3D

> * The 600-cell corresponding to the icosahedron in 3D

>

> Which of these are offered as sliced playable programs?

>

> I know 5-cell, 8-cell and 120-cell.

>

>

>

> __._,_.__