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)
  • at pen between hix and rappy:   arccos[-1/sqrt(6)] = 114.094843°
  • at octpy between rappy and rappy:   90°
  • at rap between rappy and rix:   arccos[1/sqrt(6)] = 65.905157°
  • at pen between hix and rix:   arccos(2/3) = 48.189685°
Face vector 16, 75, 140, 125, 57, 13
Confer
uniform relative:
hax  
general polytopal classes:
segmentopeta   lace simplices   fundamental lace prisms  
analogs:
rectified simplex pyramid rSn-py  

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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