Acronym esquipuf
Name elongated square pucofastegium,
square atop octagon-prism atop octagon-prism
Lace city
in approx. ASCII-art 
     x4o     
             
x4x       x4x
             
             
x4x       x4x
Dihedral angles
Face vector 36, 84, 69, 21
Confer
related segmentochora:
squipuf   sodip  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

oxx xxx4oxx&#x   → height(1,2) = 1/2
                   height(2,3) = 1
({4} || pseudo op || op)

o.. o..4o..    | 4  *  * | 2  4 0 0 0  0 0 0 0 | 1 2 4 2 0 0 0 0 0 0 0 0 0 | 2 1 2 0 0 0 0
.o. .o.4.o.    | * 16  * | 0  1 1 1 1  1 0 0 0 | 0 1 1 1 1 1 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0
..o ..o4.o.    | *  * 16 | 0  0 0 0 0  1 1 1 1 | 0 0 0 0 0 0 0 1 1 1 1 1 1 | 0 0 0 1 1 1 1
---------------+---------+---------------------+---------------------------+--------------
... x.. ...    | 2  0  0 | 4  * * * *  * * * * | 1 0 2 0 0 0 0 0 0 0 0 0 0 | 1 0 2 0 0 0 0
oo. oo.4oo.&#x | 1  1  0 | * 16 * * *  * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0
.x. ... ...    | 0  2  0 | *  * 8 * *  * * * * | 0 1 0 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0 0
... .x. ...    | 0  2  0 | *  * * 8 *  * * * * | 0 0 1 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 1 0
... ... .x.    | 0  2  0 | *  * * * 8  * * * * | 0 0 0 1 0 1 1 0 0 1 0 0 0 | 0 1 1 0 1 1 0
.oo .oo4.oo&#x | 0  1  1 | *  * * * * 16 * * * | 0 0 0 0 0 0 0 1 1 1 0 0 0 | 0 0 0 1 1 1 0
..x ... ...    | 0  0  2 | *  * * * *  * 8 * * | 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 1 1 0 1
... ..x ...    | 0  0  2 | *  * * * *  * * 8 * | 0 0 0 0 0 0 0 0 1 0 1 0 1 | 0 0 0 1 0 1 1
... ... ..x    | 0  0  2 | *  * * * *  * * * 8 | 0 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 1 1 1
---------------+---------+---------------------+---------------------------+--------------
... x..4o..    | 4  0  0 | 4  0 0 0 0  0 0 0 0 | 1 * * * * * * * * * * * * | 0 0 2 0 0 0 0
ox. ... ...&#x | 1  2  0 | 0  2 1 0 0  0 0 0 0 | * 8 * * * * * * * * * * * | 1 1 0 0 0 0 0
... xx. ...&#x | 2  2  0 | 1  2 0 1 0  0 0 0 0 | * * 8 * * * * * * * * * * | 1 0 1 0 0 0 0
... ... ox.&#x | 1  2  0 | 0  2 0 0 1  0 0 0 0 | * * * 8 * * * * * * * * * | 0 1 1 0 0 0 0
.x. .x. ...    | 0  4  0 | 0  0 2 2 0  0 0 0 0 | * * * * 4 * * * * * * * * | 1 0 0 1 0 0 0
.x. ... .x.    | 0  4  0 | 0  0 2 0 2  0 0 0 0 | * * * * * 4 * * * * * * * | 0 1 0 0 1 0 0
... .x.4.x.    | 0  8  0 | 0  0 0 4 4  0 0 0 0 | * * * * * * 2 * * * * * * | 0 0 1 0 0 1 0
.xx ... ...&#x | 0  2  2 | 0  0 1 0 0  2 1 0 0 | * * * * * * * 8 * * * * * | 0 0 0 1 1 0 0
... .xx ...&#x | 0  2  2 | 0  0 0 1 0  2 0 1 0 | * * * * * * * * 8 * * * * | 0 0 0 1 0 1 0
... ... .xx&#x | 0  2  2 | 0  0 0 0 1  2 0 0 1 | * * * * * * * * * 8 * * * | 0 0 0 0 1 1 0
..x ..x ...    | 0  0  4 | 0  0 0 0 0  0 2 2 0 | * * * * * * * * * * 4 * * | 0 0 0 1 0 0 1
..x ... ..x    | 0  0  4 | 0  0 0 0 0  0 2 0 2 | * * * * * * * * * * * 4 * | 0 0 0 0 1 0 1
... ..x4..x    | 0  0  8 | 0  0 0 0 0  0 0 4 4 | * * * * * * * * * * * * 2 | 0 0 0 0 0 1 1
---------------+---------+---------------------+---------------------------+--------------
ox. xx. ...&#x ♦ 2  4  0 | 1  4 2 2 0  0 0 0 0 | 0 2 2 0 1 0 0 0 0 0 0 0 0 | 4 * * * * * *
ox. ... ox.&#x ♦ 1  4  0 | 0  4 2 0 2  0 0 0 0 | 0 2 0 2 0 1 0 0 0 0 0 0 0 | * 4 * * * * *
... xx.4ox.&#x ♦ 4  8  0 | 4  8 0 4 4  0 0 0 0 | 1 0 4 4 0 0 1 0 0 0 0 0 0 | * * 2 * * * *
.xx .xx ...&#x ♦ 0  4  4 | 0  0 2 2 0  4 2 2 0 | 0 0 0 0 1 0 0 2 2 0 1 0 0 | * * * 4 * * *
.xx ... .xx&#x ♦ 0  4  4 | 0  0 2 0 2  4 2 0 2 | 0 0 0 0 0 1 0 2 0 2 0 1 0 | * * * * 4 * *
... .xx4.xx&#x ♦ 0  8  8 | 0  0 0 4 4  8 0 4 4 | 0 0 0 0 0 0 1 0 4 4 0 0 1 | * * * * * 2 *
..x ..x4..x    ♦ 0  0 16 | 0  0 0 0 0  0 8 8 8 | 0 0 0 0 0 0 0 0 0 0 4 4 2 | * * * * * * 1

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