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°
Face vector	16, 36, 31, 11
Confer	segmentochora family: {2n} || n-p   related CRFs: cube || {8} || cube   uniform relative: sidpith   general polytopal classes: luna   segmentochora
External links

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