Acronym	nat
Name	spinotriacontaditeron
Field of sections	©
Circumradius	sqrt(3/2) = 1.224745
Vertex figure	©
Coordinates	(1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0)   & all permutations, all changes of sign
Colonel of regiment	nit
Face vector	80, 480, 640, 240, 32
Confer	general polytopal classes: noble polytopes
External links

Incidence matrix

80 ♦  12 |  24  12 | 12  24 | 12
---+-----+---------+--------+---
 2 | 480 |   4   2 |  4   6 |  6
---+-----+---------+--------+---
 4 |   4 | 480   * |  1   2 |  3
 6 |   6 |   * 160 |  2   2 |  4
---+-----+---------+--------+---
12 |  24 |   6   4 | 80   * |  2  (cho)
12 |  18 |   6   2 |  * 160 |  2  (hip)
---+-----+---------+--------+---
30 |  90 |  45  20 |  5  10 | 32  (garpop)