Acronym eoctpy
Name elongated octahedral pyramid,
diminished pex hex
Lace city
in approx. ASCII-art
    o4o   o4o
             
o4o o4x   o4x
             
    o4o   o4o
    x3o   x3o
o3o          
    o3x   o3x
Dihedral angles
  • at {3} between tet and trip:   150°
  • at {3} between tet and tet:   120°
  • at {4} between trip and trip:   arccos(-1/3) = 109.471221°
  • at {3} between oct and trip:   90°
Confer
uniform relative:
hex   sidpith  
related CRFs:
quawros   pacsid pith   esquippidpy   pex hex  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

oxx3ooo4ooo&#xt   → pyramid height = 1/sqrt(2) = 0.707107
                    prism height = 1
(point || pseudo oct || oct)

o..3o..4o..    | 1 * *  6  0 0  0 | 12 0  0 0 | 8 0 0
.o.3.o.4.o.    | * 6 * | 1  4 1  0 |  4 4  4 0 | 4 4 0
..o3..o4..o    | * * 6 | 0  0 1  4 |  0 0  4 4 | 0 4 1
---------------+-------+-----------+-----------+------
oo.3oo.4oo.&#x | 1 1 0 | 6  * *  * |  4 0  0 0 | 4 0 0
.x. ... ...    | 0 2 0 | * 12 *  * |  1 2  1 0 | 2 2 0
.oo3.oo4.oo&#x | 0 1 1 | *  * 6  * |  0 0  4 0 | 0 4 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.3.o. ...    | 0 3 0 | 0  3 0  0 |  * 8  * * | 1 1 0
.xx ... ...&#x | 0 2 2 | 0  1 2  1 |  * * 12 * | 0 2 0
..x3..o ...    | 0 0 3 | 0  0 0  3 |  * *  * 8 | 0 1 1
---------------+-------+-----------+-----------+------
ox.3oo. ...&#x  1 3 0 | 3  3 0  0 |  3 1  0 0 | 8 * *
.xx3.oo ...&#x  0 3 3 | 0  3 3  3 |  0 1  3 1 | * 8 *
..x3..o4..o     0 0 6 | 0  0 0 12 |  0 0  0 8 | * * 1

ooo3oxx3ooo&#xt   → pyramid height = 1/sqrt(2) = 0.707107
                    prism height = 1
(point || pseudo oct || oct)

o..3o..3o..    | 1 * *  6  0 0  0 | 12 0 0  0 0 0 | 4 4 0 0 0
.o.3.o.3.o.    | * 6 * | 1  4 1  0 |  4 2 2  4 0 0 | 2 2 2 2 0
..o3..o3..o    | * * 6 | 0  0 1  4 |  0 0 0  4 2 2 | 0 0 2 2 1
---------------+-------+-----------+---------------+----------
oo.3oo.3oo.&#x | 1 1 0 | 6  * *  * |  4 0 0  0 0 0 | 2 2 0 0 0
... .x. ...    | 0 2 0 | * 12 *  * |  1 1 1  1 0 0 | 1 1 1 1 0
.oo3.oo3.oo&#x | 0 1 1 | *  * 6  * |  0 0 0  4 0 0 | 0 0 2 2 0
... ..x ...    | 0 0 2 | *  * * 12 |  0 0 0  1 1 1 | 0 0 1 1 1
---------------+-------+-----------+---------------+----------
... ox. ...&#x | 1 2 0 | 2  1 0  0 | 12 * *  * * * | 1 1 0 0 0
.o.3.x. ...    | 0 3 0 | 0  3 0  0 |  * 4 *  * * * | 1 0 1 0 0
... .x.3.o.    | 0 3 0 | 0  3 0  0 |  * * 4  * * * | 0 1 0 1 0
... .xx ...&#x | 0 2 2 | 0  1 2  1 |  * * * 12 * * | 0 0 1 1 0
..o3..x ...    | 0 0 3 | 0  0 0  3 |  * * *  * 4 * | 0 0 1 0 1
... ..x3..o    | 0 0 3 | 0  0 0  3 |  * * *  * * 4 | 0 0 0 1 1
---------------+-------+-----------+---------------+----------
oo.3ox. ...&#x  1 3 0 | 3  3 0  0 |  3 1 0  0 0 0 | 4 * * * *
... ox.3oo.&#x  1 3 0 | 3  3 0  0 |  3 0 1  0 0 0 | * 4 * * *
.oo3.xx ...&#x  0 3 3 | 0  3 3  3 |  0 1 0  3 1 0 | * * 4 * *
... .xx3.oo&#x  0 3 3 | 0  3 3  3 |  0 0 1  3 0 1 | * * * 4 *
..o3..x3..o     0 0 6 | 0  0 0 12 |  0 0 0  0 4 4 | * * * * 1

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