| Acronym | squipuf, K-4.105 | 
| Name | 
square pucofastegium, square - octagon-prismatic wedge, square magnabicupolaic ring, {4} || op, {8} || squacu, square-cap of srit  | 
| Segmentochoron display / VRML | 
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| Circumradius | sqrt[2+sqrt(2)] = 1.847759 | 
| 
Lace city in approx. ASCII-art  | 
x4o x4x
       
x4x    
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| Dihedral angles | 
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| Face vector | 20, 44, 35, 11 | 
| Confer | 
	
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External links  | 
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Incidence matrix according to Dynkin symbol
xxx4oxx&#x   → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107
               height(2,3) = 1
o..4o..    | 4 * * | 2 2 2 0 0 0 0 0 | 1 2 1 2 1 2 0 0 0 0 | 1 1 2 1 0
.o.4.o.    | * 8 * | 0 1 0 1 1 1 0 0 | 0 1 1 0 0 1 1 1 1 0 | 1 0 1 1 1
..o4..o    | * * 8 | 0 0 1 0 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
-----------+-------+-----------------+---------------------+----------
x.. ...    | 2 0 0 | 4 * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
oo.4oo.&#x | 1 1 0 | * 8 * * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
o.o4o.o&#x | 1 0 1 | * * 8 * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
.x. ...    | 0 2 0 | * * * 4 * * * * | 0 1 0 0 0 0 1 1 0 0 | 1 0 1 0 1
... .x.    | 0 2 0 | * * * * 4 * * * | 0 0 1 0 0 0 1 0 1 0 | 1 0 0 1 1
.oo4.oo&#x | 0 1 1 | * * * * * 8 * * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1
..x ...    | 0 0 2 | * * * * * * 4 * | 0 0 0 1 0 0 0 1 0 1 | 0 1 1 0 1
... ..x    | 0 0 2 | * * * * * * * 4 | 0 0 0 0 1 0 0 0 1 1 | 0 1 0 1 1
-----------+-------+-----------------+---------------------+----------
x..4o..    | 4 0 0 | 4 0 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0
xx. ...&#x | 2 2 0 | 1 2 0 1 0 0 0 0 | * 4 * * * * * * * * | 1 0 1 0 0
... ox.&#x | 1 2 0 | 0 2 0 0 1 0 0 0 | * * 4 * * * * * * * | 1 0 0 1 0
x.x ...&#x | 2 0 2 | 1 0 2 0 0 0 1 0 | * * * 4 * * * * * * | 0 1 1 0 0
... o.x&#x | 1 0 2 | 0 0 2 0 0 0 0 1 | * * * * 4 * * * * * | 0 1 0 1 0
ooo4ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 0 | * * * * * 8 * * * * | 0 0 1 1 0
.x.4.x.    | 0 8 0 | 0 0 0 4 4 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1
.xx ...&#x | 0 2 2 | 0 0 0 1 0 2 1 0 | * * * * * * * 4 * * | 0 0 1 0 1
... .xx&#x | 0 2 2 | 0 0 0 0 1 2 0 1 | * * * * * * * * 4 * | 0 0 0 1 1
..x4..x    | 0 0 8 | 0 0 0 0 0 0 4 4 | * * * * * * * * * 1 | 0 1 0 0 1
-----------+-------+-----------------+---------------------+----------
xx.4ox.&#x ♦ 4 8 0 | 4 8 0 4 4 0 0 0 | 1 4 4 0 0 0 1 0 0 0 | 1 * * * *
x.x4o.x&#x ♦ 4 0 8 | 4 0 8 0 0 0 4 4 | 1 0 0 4 4 0 0 0 0 1 | * 1 * * *
xxx ...&#x ♦ 2 2 2 | 1 2 2 1 0 2 1 0 | 0 1 0 1 0 2 0 1 0 0 | * * 4 * *
... oxx&#x ♦ 1 2 2 | 0 2 2 0 1 2 0 1 | 0 0 1 0 1 2 0 0 1 0 | * * * 4 *
.xx4.xx&#x ♦ 0 8 8 | 0 0 0 4 4 8 4 4 | 0 0 0 0 0 0 1 4 4 1 | * * * * 1
xx4ox ox&#x   → height = 1/2
({4} || op)
o.4o. o.    | 4  * | 2  4 0 0 0 | 1 4 2 2 0 0 0 | 2 2 1 0
.o4.o .o    | * 16 | 0  1 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
------------+------+------------+---------------+--------
x. .. ..    | 2  0 | 4  * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
oo4oo oo&#x | 1  1 | * 16 * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.x .. ..    | 0  2 | *  * 8 * * | 0 1 0 0 1 1 0 | 1 1 0 1
.. .x ..    | 0  2 | *  * * 8 * | 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x    | 0  2 | *  * * * 8 | 0 0 0 1 0 1 1 | 0 1 1 1
------------+------+------------+---------------+--------
x.4o. ..    | 4  0 | 4  0 0 0 0 | 1 * * * * * * | 2 0 0 0
xx .. ..&#x | 2  2 | 1  2 1 0 0 | * 8 * * * * * | 1 1 0 0
.. ox ..&#x | 1  2 | 0  2 0 1 0 | * * 8 * * * * | 1 0 1 0
.. .. ox&#x | 1  2 | 0  2 0 0 1 | * * * 8 * * * | 0 1 1 0
.x4.x ..    | 0  8 | 0  0 4 4 0 | * * * * 2 * * | 1 0 0 1
.x .. .x    | 0  4 | 0  0 2 0 2 | * * * * * 4 * | 0 1 0 1
.. .x .x    | 0  4 | 0  0 0 2 2 | * * * * * * 4 | 0 0 1 1
------------+------+------------+---------------+--------
xx4ox ..&#x ♦ 4  8 | 4  8 4 4 0 | 1 4 4 0 1 0 0 | 2 * * *
xx .. ox&#x ♦ 2  4 | 1  4 2 0 2 | 0 2 0 2 0 1 0 | * 4 * *
.. ox ox&#x ♦ 1  4 | 0  4 0 2 2 | 0 0 2 2 0 0 1 | * * 4 *
.x4.x .x    ♦ 0 16 | 0  0 8 8 8 | 0 0 0 0 2 4 4 | * * * 1
{8} || squacu   → height = 1/sqrt(2) = 0.707107
  8 * * | 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
  * 4 * | 0 0 2 0 2 2 0 0 | 0 2 1 0 0 2 1 2 1 0 | 1 0 2 1 1
  * * 8 | 0 0 0 1 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
--------+-----------------+---------------------+----------
  2 0 0 | 4 * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
  2 0 0 | * 4 * * * * * * | 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 0
  1 1 0 | * * 8 * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
  1 0 1 | * * * 8 * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
  0 2 0 | * * * * 4 * * * | 0 1 0 0 0 0 1 1 0 0 | 1 0 1 0 1
  0 1 1 | * * * * * 8 * * | 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 1
  0 0 2 | * * * * * * 4 * | 0 0 0 1 0 0 0 1 0 1 | 0 1 1 0 1
  0 0 2 | * * * * * * * 4 | 0 0 0 0 1 0 0 0 1 1 | 0 1 0 1 1
--------+-----------------+---------------------+----------
  8 0 0 | 4 4 0 0 0 0 0 0 | 1 * * * * * * * * * | 1 1 0 0 0
  2 2 0 | 1 0 2 0 1 0 0 0 | * 4 * * * * * * * * | 1 0 1 0 0
  2 1 0 | 0 1 2 0 0 0 0 0 | * * 4 * * * * * * * | 1 0 0 1 0
  2 0 2 | 1 0 0 2 0 0 1 0 | * * * 4 * * * * * * | 0 1 1 0 0
  2 0 2 | 0 1 0 2 0 0 0 1 | * * * * 4 * * * * * | 0 1 0 1 0
  1 1 1 | 0 0 1 1 0 1 0 0 | * * * * * 8 * * * * | 0 0 1 1 0
  0 4 0 | 0 0 0 0 4 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1
  0 2 2 | 0 0 0 0 1 2 1 0 | * * * * * * * 4 * * | 0 0 1 0 1
  0 1 2 | 0 0 0 0 0 2 0 1 | * * * * * * * * 4 * | 0 0 0 1 1
  0 0 8 | 0 0 0 0 0 0 4 4 | * * * * * * * * * 1 | 0 1 0 0 1
--------+-----------------+---------------------+----------
♦ 8 4 0 | 4 4 8 0 4 0 0 0 | 1 4 4 0 0 0 1 0 0 0 | 1 * * * *
♦ 8 0 8 | 4 4 0 8 0 0 4 4 | 1 0 0 4 4 0 0 0 0 1 | * 1 * * *
♦ 2 2 2 | 1 0 2 2 1 2 1 0 | 0 1 0 1 0 2 0 1 0 0 | * * 4 * *
♦ 2 1 2 | 0 1 2 2 0 2 0 1 | 0 0 1 0 1 2 0 0 1 0 | * * * 4 *
♦ 0 4 8 | 0 0 0 0 4 8 4 4 | 0 0 0 0 0 0 1 4 4 1 | * * * * 1
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