Acronym ecubpy
Name elongated cubical pyramid,
heptadiminished icositetrachoron
Circumradius 1
Lace city
in approx. ASCII-art
o4o x4o    
           
x4o     x4o
           
    x4o    
Coordinates
  1. (1, 0, 0, 0)                & no permutations, no changes of sign
    (tip)
  2. (1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
    (tes)
Dihedral angles
Confer
uniform relative:
ico   tes  
segmentochora:
cubpy  
related CRFs:
cytau tes   ecubedpy  
general polytopal classes:
bistratic lace towers  

This CRF polychoron can be obtained by augmenting one cube of tes with cubpy.

It likewise can be obtained from ico by diminishing it at 7 vertices.


Incidence matrix according to Dynkin symbol

oxx4ooo3ooo&#xt   → pyramid height = 1/2
                    prism height = 1
(pt || pseudo cube || cube)

o..4o..3o..    | 1 * *  8  0 0  0 | 12 0  0 0 | 6 0 0
.o.4.o.3.o.    | * 8 * | 1  3 1  0 |  3 3  3 0 | 3 3 0
..o4..o3..o    | * * 8 | 0  0 1  3 |  0 0  3 3 | 0 3 1
---------------+-------+-----------+-----------+------
oo.4oo.3oo.&#x | 1 1 0 | 8  * *  * |  3 0  0 0 | 3 0 0
.x. ... ...    | 0 2 0 | * 12 *  * |  1 2  1 0 | 2 2 0
.oo4.oo3.oo&#x | 0 1 1 | *  * 8  * |  0 0  3 0 | 0 3 0
..x ... ...    | 0 0 2 | *  * * 12 |  0 0  1 2 | 0 2 1
---------------+-------+-----------+-----------+------
ox. ... ...&#x | 1 2 0 | 2  1 0  0 | 12 *  * * | 2 0 0
.x.4.o. ...    | 0 4 0 | 0  4 0  0 |  * 6  * * | 1 1 0
.xx ... ...&#x | 0 2 2 | 0  1 2  1 |  * * 12 * | 0 2 0
..x4..o ...    | 0 0 4 | 0  0 0  4 |  * *  * 6 | 0 1 1
---------------+-------+-----------+-----------+------
ox.4oo. ...&#x  1 4 0 | 4  4 0  0 |  4 1  0 0 | 6 * *
.xx4.oo ...&#x  0 4 4 | 0  4 4  4 |  0 1  4 1 | * 6 *
..x4..o3..o     0 0 8 | 0  0 0 12 |  0 0  0 6 | * * 1

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