escupe

Acronym	escupe, K-4.68
Name	elongated-square-cupola prism
Segmentochoron display / VRML	⭳
Circumradius	sqrt[(3+sqrt(2))/2] = 1.485633
Lace city in approx. ASCII-art	x4o x4x x4x x4o x4x x4x
Dihedral angles	at {4} between cube and trip: arccos[-sqrt(2/3)] = 144.735610° at {4} between cube and cube: 135° at {4} between cube and escu: 90° at {4} between cube and op: 90° at {8} between escu and op: 90° at {3} between escu and trip: 90°
Face vector	40, 92, 72, 20
Confer	uniform relative: sircope sidpith sodip related segmentochora: squacupe general polytopal classes: segmentochora bistratic lace towers

Incidence matrix according to Dynkin symbol

xxx xxx4oxx&#xt   → height(1,2) = 1/sqrt(2) = 0.707107
                       height(2,3) = 1
(cube || pseudo op || op)

o.. o..4o..     | 8  *  * | 1 2  2 0 0 0  0 0 0 0 | 2 1 2 2 1 0 0 0 0 0 0 0 0 | 1 2 1 1 0 0 0
.o. .o.4.o.     | * 16  * | 0 0  1 1 1 1  1 0 0 0 | 0 0 1 1 1 1 1 1 1 1 0 0 0 | 0 1 1 1 1 1 0
..o ..o4..o     | *  * 16 | 0 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 *  * * * *  * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0
... x.. ...     | 2  0  0 | * 8  * * * *  * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0
oo. oo.4oo.&#x  | 1  1  0 | * * 16 * * *  * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0
.x. ... ...     | 0  2  0 | * *  * 8 * *  * * * * | 0 0 1 0 0 1 1 1 0 0 0 0 0 | 0 1 1 0 1 1 0
... .x. ...     | 0  2  0 | * *  * * 8 *  * * * * | 0 0 0 1 0 1 0 0 1 0 0 0 0 | 0 1 0 1 1 0 0
... ... .x.     | 0  2  0 | * *  * * * 8  * * * * | 0 0 0 0 1 0 1 0 0 1 0 0 0 | 0 0 1 1 0 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 0 1 1 1
... ..x ...     | 0  0  2 | * *  * * * *  * * 8 * | 0 0 0 0 0 0 0 0 1 0 1 0 1 | 0 0 0 1 1 0 1
... ... ..x     | 0  0  2 | * *  * * * *  * * * 8 | 0 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 1 0 1 1
----------------+---------+-----------------------+---------------------------+--------------
x.. x.. ...     | 4  0  0 | 2 2  0 0 0 0  0 0 0 0 | 4 * * * * * * * * * * * * | 1 1 0 0 0 0 0
... x..4o..     | 4  0  0 | 0 4  0 0 0 0  0 0 0 0 | * 2 * * * * * * * * * * * | 1 0 0 1 0 0 0
xx. ... ...&#x  | 2  2  0 | 1 0  2 1 0 0  0 0 0 0 | * * 8 * * * * * * * * * * | 0 1 1 0 0 0 0
... xx. ...&#x  | 2  2  0 | 0 1  2 0 1 0  0 0 0 0 | * * * 8 * * * * * * * * * | 0 1 0 1 0 0 0
... ... ox.&#x  | 1  2  0 | 0 0  2 0 0 1  0 0 0 0 | * * * * 8 * * * * * * * * | 0 0 1 1 0 0 0
.x. .x. ...     | 0  4  0 | 0 0  0 2 2 0  0 0 0 0 | * * * * * 4 * * * * * * * | 0 1 0 0 1 0 0
.x. ... .x.     | 0  4  0 | 0 0  0 2 0 2  0 0 0 0 | * * * * * * 4 * * * * * * | 0 0 1 0 0 1 0
.xx ... ...&#x  | 0  2  2 | 0 0  0 1 0 0  2 1 0 0 | * * * * * * * 8 * * * * * | 0 0 0 0 1 1 0
... .xx ...&#x  | 0  2  2 | 0 0  0 0 1 0  2 0 1 0 | * * * * * * * * 8 * * * * | 0 0 0 1 1 0 0
... ... .xx&#x  | 0  2  2 | 0 0  0 0 0 1  2 0 0 1 | * * * * * * * * * 8 * * * | 0 0 0 1 0 1 0
..x ..x ...     | 0  0  4 | 0 0  0 0 0 0  0 2 2 0 | * * * * * * * * * * 4 * * | 0 0 0 0 1 0 1
..x ... ..x     | 0  0  4 | 0 0  0 0 0 0  0 2 0 2 | * * * * * * * * * * * 4 * | 0 0 0 0 0 1 1
... ..x4..x     | 0  0  8 | 0 0  0 0 0 0  0 0 4 4 | * * * * * * * * * * * * 2 | 0 0 0 1 0 0 1
----------------+---------+-----------------------+---------------------------+--------------
x.. x..4o..     ♦ 8  0  0 | 4 8  0 0 0 0  0 0 0 0 | 4 2 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * *
xx. xx. ...&#x  ♦ 4  4  0 | 2 2  4 2 2 0  0 0 0 0 | 1 0 2 2 0 1 0 0 0 0 0 0 0 | * 4 * * * * *
xx. ... ox.&#x  ♦ 2  4  0 | 1 0  4 2 0 2  0 0 0 0 | 0 0 2 0 2 0 1 0 0 0 0 0 0 | * * 4 * * * *
... xxx4oxx&#xt ♦ 4  8  8 | 0 4  8 0 4 4  8 0 4 4 | 0 1 0 4 4 0 0 0 4 4 0 0 1 | * * * 2 * * *
.xx .xx ...&#x  ♦ 0  4  4 | 0 0  0 2 2 0  4 2 2 0 | 0 0 0 0 0 1 0 2 2 0 1 0 0 | * * * * 4 * *
.xx ... .xx&#x  ♦ 0  4  4 | 0 0  0 2 0 2  4 2 0 2 | 0 0 0 0 0 0 1 2 0 2 0 1 0 | * * * * * 4 *
..x ..x4..x     ♦ 0  0 16 | 0 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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