| Acronym | rixpy | 
| Name | rectified-hexateronal pyramid, vertex pyramid of demihexeract | 
| Circumradius | sqrt(3)/2 = 0.866025 | 
| Inradius wrt. hix | 1/sqrt(3) = 0.577350 | 
| Inradius wrt. rappy | 1/sqrt(8) = 0.353553 | 
| Inradius wrt. rix | -1/sqrt(12) = -0.288675 | 
| Volume | 13/1440 = 0.0090278 | 
| Dihedral angles (at margins) | |
| Face vector | 16, 75, 140, 125, 57, 13 | 
| Confer | 
 | 
Incidence matrix according to Dynkin symbol
oo3ox3oo3oo3oo&#x   → height = 1/sqrt(3) = 0.577350
(pt || rix)
o.3o.3o.3o.3o.    | 1  * ♦ 15  0 | 60  0  0 | 20 60  0  0 | 15 30 0 0 | 6 6 0
.o3.o3.o3.o3.o    | * 15 ♦  1  8 |  8  4 12 |  4 12  6  8 |  6  8 4 2 | 4 2 1
------------------+------+-------+----------+-------------+-----------+------
oo3oo3oo3oo3oo&#x | 1  1 | 15  * ♦  8  0  0 |  4 12  0  0 |  6  8 0 0 | 4 2 0
.. .x .. .. ..    | 0  2 |  * 60 |  1  1  3 |  1  3  3  3 |  3  3 3 1 | 3 1 1
------------------+------+-------+----------+-------------+-----------+------
.. ox .. .. ..&#x | 1  2 |  2  1 | 60  *  * |  1  3  0  0 |  3  3 0 0 | 3 1 0
.o3.x .. .. ..    | 0  3 |  0  3 |  * 20  * |  1  0  3  0 |  3  0 3 0 | 3 0 1
.. .x3.o .. ..    | 0  3 |  0  3 |  *  * 60 |  0  1  1  2 |  1  2 2 1 | 2 1 1
------------------+------+-------+----------+-------------+-----------+------
oo3ox .. .. ..&#x ♦ 1  3 |  3  3 |  3  1  0 | 20  *  *  * |  3  0 0 0 | 3 0 0
.. ox3oo .. ..&#x ♦ 1  3 |  3  3 |  3  0  1 |  * 60  *  * |  1  2 0 0 | 2 1 0
.o3.x3.o .. ..    ♦ 0  6 |  0 12 |  0  4  4 |  *  * 15  * |  1  0 2 0 | 2 0 1
.. .x3.o3.o ..    ♦ 0  4 |  0  6 |  0  0  4 |  *  *  * 30 |  0  1 1 1 | 1 1 1
------------------+------+-------+----------+-------------+-----------+------
oo3ox3oo .. ..&#x ♦ 1  6 |  6 12 | 12  4  4 |  4  4  1  0 | 15  * * * | 2 0 0
.. ox3oo3oo ..&#x ♦ 1  4 |  4  6 |  6  0  4 |  0  4  0  1 |  * 30 * * | 1 1 0
.o3.x3.o3.o ..    ♦ 0 10 |  0 30 |  0 10 20 |  0  0  5  5 |  *  * 6 * | 1 0 1
.. .x3.o3.o3.o    ♦ 0  5 |  0 10 |  0  0 10 |  0  0  0  5 |  *  * * 6 | 0 1 1
------------------+------+-------+----------+-------------+-----------+------
oo3ox3oo3oo ..&#x ♦ 1 10 | 10 30 | 30 10 20 | 10 20  5  5 |  5  5 1 0 | 6 * *
.. ox3oo3oo3oo&#x ♦ 1  5 |  5 10 | 10  0 10 |  0 10  0  5 |  0  5 0 1 | * 6 *
.o3.x3.o3.o3.o    ♦ 0 15 |  0 60 |  0 20 60 |  0  0 15 30 |  0  0 6 6 | * * 1
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