Acronym ecubedpy
Name elongated cubical bipyramid,
hexadiminished icositetrachoron
Circumradius 1
Lace city
in approx. ASCII-art 
o4o x4o    
           
x4o     x4o
           
    x4o o4o
Coordinates
  1. (1, 0, 0, 0)                & no permutations, all changes of sign
    (antipodal tips)
  2. (1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
    (medial tes)
Dihedral angles
Face vector 18, 48, 48, 18
Confer
uniform relative:
ico   tes  
segmentochora:
cubpy  
related CRFs:
cytau tes   ecubpy  

This CRF polychoron can be obtained by augmenting a pair of antipodal cubes of tes with cubpies.

It likewise can be obtained from ico by diminishing it at 6 vertices.


Incidence matrix according to Dynkin symbol

oxxo4oooo3oooo&#xt   → outer heights = 1/2
                       medial height = 1
(pt || pseudo cube || pseudo cube || pt)

o...4o...3o...    & | 2  * ♦  8  0 0 | 12  0  0 |  6 0  (tips)
.o..4.o..3.o..    & | * 16 |  1  3 1 |  3  3  3 |  3 3  (medial tes)
--------------------+------+---------+----------+-----
oo..4oo..3oo..&#x & | 1  1 | 16  * * |  3  0  0 |  3 0
.x.. .... ....    & | 0  2 |  * 24 * |  1  2  1 |  2 2
.oo.4.oo.3.oo.&#x   | 0  2 |  *  * 8 |  0  0  3 |  0 3
--------------------+------+---------+----------+-----
ox.. .... ....&#x & | 1  2 |  2  1 0 | 24  *  * |  2 0
.x..4.o.. ....    & | 0  4 |  0  4 0 |  * 12  * |  1 1
.xx. .... ....&#x   | 0  4 |  0  2 2 |  *  * 12 |  0 2
--------------------+------+---------+----------+-----
ox..4oo.. ....&#x & ♦ 1  4 |  4  4 0 |  4  1  0 | 12 *
.xx.4.oo. ....&#x   ♦ 0  8 |  0  8 4 |  0  2  4 |  * 6

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