Acronym	...
Name	vertex figure of hexadecateron
Cross sections	©
Circumradius	sqrt(3/5) = 0.774597
General of army	rap
Pattern	a g b c h e d i j f
Face vector	10, 45, 45, 10
Confer	general polytopal classes: noble polytopes
External links

©

The cell (shown right) happens to be in turn the vertex figure of pinnip.

Incidence matrix

6 * |  4 1  2  2 0 | 2  4  6  4 1 | 4 2  a
* 4 |  0 0  3  3 3 | 0  6  3  3 3 | 3 3  g
----+--------------+--------------+----
2 0 | 12 *  *  * * | 1  1  1  0 0 | 2 1  ab x
2 0 |  * 3  *  * * | 0  0  0  4 0 | 4 0  af q
1 1 |  * * 12  * * | 0  2  0  1 0 | 2 1  ag x
1 1 |  * *  * 12 * | 0  0  2  1 1 | 2 2  ai q
0 2 |  * *  *  * 6 | 0  2  0  0 1 | 1 2  gh x
----+--------------+--------------+----
4 0 |  4 0  0  0 0 | 3  *  *  * * | 2 0  abfd xxxx = verf(oct)
2 2 |  1 0  2  0 1 | * 12  *  * * | 1 1  abih xxxx = verf(oct)
2 1 |  1 0  0  2 0 | *  * 12  * * | 1 1  abj xqq = verf(trip)
2 1 |  0 1  1  1 0 | *  *  * 12 * | 2 0  afg xqq = verf(trip)
1 2 |  0 0  0  2 1 | *  *  *  * 6 | 0 2  aij xqq = verf(trip)
----+--------------+--------------+----
4 2 |  4 2  4  4 1 | 1  2  2  4 0 | 6 *  abdfgj verf(pinnip)
3 3 |  3 0  3  6 3 | 0  3  3  0 3 | * 4  abchij verf(pinnip)

or
10 |  6  3 |  6  9 |  6
---+-------+-------+---
 2 | 30  * |  2  1 |  3  x
 2 |  * 15 |  0  4 |  4  q
---+-------+-------+---
 4 |  4  0 | 15  * |  2  verf(oct)
 3 |  1  2 |  * 30 |  2  verf(trip)
---+-------+-------+---
 6 |  9  6 |  3  6 | 10  verf(pinnip)