Acronym	caddix
Name	cellidishexateron
Field of sections	©
Circumradius	sqrt(3)/2 = 0.866025
Vertex figure	©
Coordinates	(1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 0, sqrt(3/8))   & any even change of signs (dual pair of tip tets) (1/sqrt(2), 0, 0, 1/2, 0)   & all permutations in the first 3 coordinates, all changes of sign (equatorial pseudo ope)
Colonel of regiment	dot
Face vector	20, 90, 210, 165, 27
External links

Incidence matrix

20 ♦  9 |  9  9 18 |  3 18 18  9 | 3 3  9
---+----+----------+-------------+-------
 2 | 90 |  2  2  4 |  1  6  6  4 | 2 2  5
---+----+----------+-------------+-------
 3 |  3 | 60  *  * |  0  2  0  2 | 0 2  2
 3 |  3 |  * 60  * |  1  0  2  2 | 2 1  2
 4 |  4 |  *  * 90 |  0  2  2  0 | 1 1  2
---+----+----------+-------------+-------
 4 |  6 |  0  4  0 | 15  *  *  * | 2 0  0  (tet)
 6 |  9 |  2  0  3 |  * 60  *  * | 0 1  1  (trip)
 6 |  9 |  0  2  3 |  *  * 60  * | 1 0  1  (trip)
 6 | 12 |  4  4  0 |  *  *  * 30 | 0 1  1  (oct)
---+----+----------+-------------+-------
10 | 30 |  0 20 15 |  5  0 10  0 | 6 *  *  (firp)
10 | 30 | 20 10 15 |  0 10  0  5 | * 6  *  (pinnip)
12 | 30 |  8  8 12 |  0  4  4  2 | * * 15  (ope)