Acronym squicuf, K-4.73
Name square cupofastegium,
octagon - cube wedge of sidpith,
square orthobicupolaic ring,
{8} || cube,
{4} || squacu,
1/4-luna of quawros
Segmentochoron display
Circumradius sqrt[(3+sqrt(2))/2] = 1.485634
Lace city
in approx. ASCII-art
x4o   x4o
         
   x4x   
Dihedral angles
  • at {3} between tet and trip:   150°
  • at {4} between cube and trip:   arccos(-sqrt[2/3]) = 144.735610°
  • at {8} between squacu and squacu:   90°
  • at {3} between squacu and tet:   60°
  • at {4} between squacu and trip:   arccos[1/sqrt(3)] = 54.735610°
  • at {4} between cube and squacu:   45°
Confer
segmentochora family:
{2n} || n-p  
related CRFs:
cube || {8} || cube  
uniform relative:
sidpith  
general polytopal classes:
luna   segmentochora  

Incidence matrix according to Dynkin symbol

xx4ox xo&#x   → height = 1/2
(cube || {8})

o.4o. o.    | 8 * | 2 1  2 0 0 | 1 2 2 1 2 0 | 1 1 2 1
.o4.o .o    | * 8 | 0 0  2 1 1 | 0 0 2 2 1 1 | 0 2 1 1
------------+-----+------------+-------------+--------
x. .. ..    | 2 0 | 8 *  * * * | 1 1 1 0 0 0 | 1 1 1 0
.. .. x.    | 2 0 | * 4  * * * | 0 2 0 0 2 0 | 1 0 2 1
oo4oo oo&#x | 1 1 | * * 16 * * | 0 0 1 1 1 0 | 0 1 1 1
.x .. ..    | 0 2 | * *  * 4 * | 0 0 2 0 0 1 | 0 2 1 0
.. .x ..    | 0 2 | * *  * * 4 | 0 0 0 2 0 1 | 0 2 0 1
------------+-----+------------+-------------+--------
x.4o. ..    | 4 0 | 4 0  0 0 0 | 2 * * * * * | 1 1 0 0
x. .. x.    | 4 0 | 2 2  0 0 0 | * 4 * * * * | 1 0 1 0
xx .. ..&#x | 2 2 | 1 0  2 1 0 | * * 8 * * * | 0 1 1 0
.. ox ..&#x | 1 2 | 0 0  2 0 1 | * * * 8 * * | 0 1 0 1
.. .. xo&#x | 2 1 | 0 1  2 0 0 | * * * * 8 * | 0 0 1 1
.x4.x ..    | 0 8 | 0 0  0 4 4 | * * * * * 1 | 0 2 0 0
------------+-----+------------+-------------+--------
x.4o. x.     8 0 | 8 4  0 0 0 | 2 4 0 0 0 0 | 1 * * *
xx4ox ..&#x  4 8 | 4 0  8 4 4 | 1 0 4 4 0 1 | * 2 * *
xx .. xo&#x  4 2 | 2 2  4 1 0 | 0 1 2 0 2 0 | * * 4 *
.. ox xo&#x  2 2 | 0 1  4 0 1 | 0 0 0 2 2 0 | * * * 4

xxx4oxo&#x   → height(1,2) = height(2,3) = 1/sqrt(2) = 0.707107
               height(1,3) = 1

o..4o..    | 4 * * | 2 2 1 0 0 0 0 | 1 2 1 2 2 0 0 0 0 | 1 1 2 1 0
.o.4.o.    | * 8 * | 0 1 0 1 1 1 0 | 0 1 1 0 1 1 1 1 0 | 1 0 1 1 1
..o4..o    | * * 4 | 0 0 1 0 0 2 2 | 0 0 0 2 2 0 2 1 1 | 0 1 2 1 1
-----------+-------+---------------+-------------------+----------
x.. ...    | 2 0 0 | 4 * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0
oo.4oo.&#x | 1 1 0 | * 8 * * * * * | 0 1 1 0 1 0 0 0 0 | 1 0 1 1 0
o.o4o.o&#x | 1 0 1 | * * 4 * * * * | 0 0 0 2 2 0 0 0 0 | 0 1 2 1 0
.x. ...    | 0 2 0 | * * * 4 * * * | 0 1 0 0 0 1 1 0 0 | 1 0 1 0 1
... .x.    | 0 2 0 | * * * * 4 * * | 0 0 1 0 0 1 0 1 0 | 1 0 0 1 1
.oo4.oo    | 0 1 1 | * * * * * 8 * | 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 1 0 1 | 0 1 1 0 1
-----------+-------+---------------+-------------------+----------
x..4o..    | 4 0 0 | 4 0 0 0 0 0 0 | 1 * * * * * * * * | 1 1 0 0 0
xx. ...&#x | 2 2 0 | 1 2 0 1 0 0 0 | * 4 * * * * * * * | 1 0 1 0 0
... ox.&#x | 1 2 0 | 0 2 0 0 1 0 0 | * * 4 * * * * * * | 1 0 0 1 0
x.x ...&#x | 2 0 2 | 1 0 2 0 0 0 1 | * * * 4 * * * * * | 0 1 1 0 0
ooo4ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 | * * * * 8 * * * * | 0 0 1 1 0
.x.4.x.    | 0 8 0 | 0 0 0 4 4 0 0 | * * * * * 1 * * * | 1 0 0 0 1
.xx ...&#x | 0 2 2 | 0 0 0 1 0 2 1 | * * * * * * 4 * * | 0 0 1 0 1
... .xo&#x | 0 2 1 | 0 0 0 0 1 2 0 | * * * * * * * 4 * | 0 0 0 1 1
..x4..o    | 0 0 4 | 0 0 0 0 0 0 4 | * * * * * * * * 1 | 0 1 0 0 1
-----------+-------+---------------+-------------------+----------
xx.4ox.&#x  4 8 0 | 4 8 0 4 4 0 0 | 1 4 4 0 0 1 0 0 0 | 1 * * * *
x.x4o.o&#x  4 0 4 | 4 0 4 0 0 0 4 | 1 0 0 4 0 0 0 0 1 | * 1 * * *
xxx ...&#x  2 2 2 | 1 2 2 1 0 2 1 | 0 1 0 1 2 0 1 0 0 | * * 4 * *
... oxo&#x  1 2 1 | 0 2 1 0 1 2 0 | 0 0 1 0 2 0 0 1 0 | * * * 4 *
.xx4.oo&#x  0 8 4 | 0 0 0 4 4 8 4 | 0 0 0 0 0 1 4 4 1 | * * * * 1
or
o..4o..     & | 8 * | 2  2 1 0 0 | 1 2 1 2 2 0 | 1 1 2 1
.o.4.o.       | * 8 | 0  2 0 1 1 | 0 2 2 0 1 1 | 2 0 1 1
--------------+-----+------------+-------------+--------
x.. ...     & | 2 0 | 8  * * * * | 1 1 0 1 0 0 | 1 1 1 0
oo.4oo.&#x  & | 1 1 | * 16 * * * | 0 1 1 0 1 0 | 1 0 1 1
o.o4o.o&#x    | 2 0 | *  * 4 * * | 0 0 0 2 2 0 | 0 1 2 1
.x. ...       | 0 2 | *  * * 4 * | 0 2 0 0 0 1 | 2 0 1 0
... .x.       | 0 2 | *  * * * 4 | 0 0 2 0 0 1 | 2 0 0 1
--------------+-----+------------+-------------+--------
x..4o..     & | 4 0 | 4  0 0 0 0 | 2 * * * * * | 1 1 0 0
xx. ...&#x  & | 2 2 | 1  2 0 1 0 | * 8 * * * * | 1 0 1 0
... ox.&#x  & | 1 2 | 0  2 0 0 1 | * * 8 * * * | 1 0 0 1
x.x ...&#x    | 4 0 | 2  0 2 0 0 | * * * 4 * * | 0 1 1 0
ooo4ooo&#x    | 2 1 | 0  2 1 0 0 | * * * * 8 * | 0 0 1 1
.x.4.x.       | 0 8 | 0  0 0 4 4 | * * * * * 1 | 2 0 0 0
--------------+-----+------------+-------------+--------
xx.4ox.&#x  &  4 8 | 4  8 0 4 4 | 1 4 4 0 0 1 | 2 * * *
x.x4o.o&#x     8 0 | 8  0 4 0 0 | 2 0 0 4 0 0 | * 1 * *
xxx ...&#x     4 2 | 2  4 2 1 0 | 0 2 0 1 2 0 | * * 4 *
... oxo&#x     2 2 | 0  4 1 0 1 | 0 0 2 0 2 0 | * * * 4

{4} || squacu   → height = 1/sqrt(2) = 0.707107

o..4o..    | 4 * * | 2 2 1 0 0 0 0 | 1 2 1 2 2 0 0 0 0 | 1 1 2 1 0
.o.4.o.    | * 8 * | 0 1 0 1 1 1 0 | 0 1 1 0 1 1 1 1 0 | 1 0 1 1 1
..o4..o    | * * 4 | 0 0 1 0 0 2 2 | 0 0 0 2 2 0 2 1 1 | 0 1 2 1 1
-----------+-------+---------------+-------------------+----------
x.. ...    | 2 0 0 | 4 * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0
oo.4oo.&#x | 1 1 0 | * 8 * * * * * | 0 1 1 0 1 0 0 0 0 | 1 0 1 1 0
o.o4o.o&#x | 1 0 1 | * * 4 * * * * | 0 0 0 2 2 0 0 0 0 | 0 1 2 1 0
.x. ...    | 0 2 0 | * * * 4 * * * | 0 1 0 0 0 1 1 0 0 | 1 0 1 0 1
... .x.    | 0 2 0 | * * * * 4 * * | 0 0 1 0 0 1 0 1 0 | 1 0 0 1 1
.oo4.oo    | 0 1 1 | * * * * * 8 * | 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 1 0 1 | 0 1 1 0 1
-----------+-------+---------------+-------------------+----------
x..4o..    | 4 0 0 | 4 0 0 0 0 0 0 | 1 * * * * * * * * | 1 1 0 0 0
xx. ...&#x | 2 2 0 | 1 2 0 1 0 0 0 | * 4 * * * * * * * | 1 0 1 0 0
... ox.&#x | 1 2 0 | 0 2 0 0 1 0 0 | * * 4 * * * * * * | 1 0 0 1 0
x.x ...&#x | 2 0 2 | 1 0 2 0 0 0 1 | * * * 4 * * * * * | 0 1 1 0 0
ooo4ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 | * * * * 8 * * * * | 0 0 1 1 0
.x.4.x.    | 0 8 0 | 0 0 0 4 4 0 0 | * * * * * 1 * * * | 1 0 0 0 1
.xx ...&#x | 0 2 2 | 0 0 0 1 0 2 1 | * * * * * * 4 * * | 0 0 1 0 1
... .xo&#x | 0 2 1 | 0 0 0 0 1 2 0 | * * * * * * * 4 * | 0 0 0 1 1
..x4..o    | 0 0 4 | 0 0 0 0 0 0 4 | * * * * * * * * 1 | 0 1 0 0 1
-----------+-------+---------------+-------------------+----------
xx.4ox.&#x  4 8 0 | 4 8 0 4 4 0 0 | 1 4 4 0 0 1 0 0 0 | 1 * * * *
x.x4o.o&#x  4 0 4 | 4 0 4 0 0 0 4 | 1 0 0 4 0 0 0 0 1 | * 1 * * *
xxx ...&#x  2 2 2 | 1 2 2 1 0 2 1 | 0 1 0 1 2 0 1 0 0 | * * 4 * *
... oxo&#x  1 2 1 | 0 2 1 0 1 2 0 | 0 0 1 0 2 0 0 1 0 | * * * 4 *
.xx4.oo&#x  0 8 4 | 0 0 0 4 4 8 4 | 0 0 0 0 0 1 4 4 1 | * * * * 1

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