Acronym	coatoe, co || toe, K-4.95
Name	cuboctahedron atop truncated octahedron, cuboctahedral cap of rectified icosatetrachoron
Segmentochoron display
Circumradius	sqrt(3) = 1.732051
Lace city in approx. ASCII-art	o3x x3x x3o x3x u3x x3u x3x
	x4o o4q x4o x4o u4o x4q u4o x4o
Dihedral angles	at {4} between co and cube:   135° at {4} between cube and tricu:   135° at {3} between co and tricu:   120° at {3} between tricu and tricu:   120° at {6} between toe and tricu:   60° at {4} between cube and toe:   45°
Face vector	36, 84, 64, 16
Confer	uniform relative: rico   related CRFs: qo ox3xx4oo&#zx   wx ox3xx4oo&#zx   oxux3xxoo4oooo&#xt   general polytopal classes: segmentochora   lace simplices
External links

Incidence matrix according to Dynkin symbol

ox3xx4oo&#x   → height = 1/sqrt(2) = 0.707107
(co || toe)

o.3o.4o.    | 12  * ♦  4  2  0  0 | 2 2  1  4 0 0 | 1 2 2 0
.o3.o4.o    |  * 24 |  0  1  1  2 | 0 0  1  2 2 1 | 0 2 1 1
------------+-------+-------------+---------------+--------
.. x. ..    |  2  0 | 24  *  *  * | 1 1  0  1 0 0 | 1 1 1 0
oo3oo4oo&#x |  1  1 |  * 24  *  * | 0 0  1  2 0 0 | 0 2 1 0
.x .. ..    |  0  2 |  *  * 12  * | 0 0  1  0 2 0 | 0 2 0 1
.. .x ..    |  0  2 |  *  *  * 24 | 0 0  0  1 1 1 | 0 1 1 1
------------+-------+-------------+---------------+--------
o.3x. ..    |  3  0 |  3  0  0  0 | 8 *  *  * * * | 1 1 0 0
.. x.4o.    |  4  0 |  4  0  0  0 | * 6  *  * * * | 1 0 1 0
ox .. ..&#x |  1  2 |  0  2  1  0 | * * 12  * * * | 0 2 0 0
.. xx ..&#x |  2  2 |  1  2  0  1 | * *  * 24 * * | 0 1 1 0
.x3.x ..    |  0  6 |  0  0  3  3 | * *  *  * 8 * | 0 1 0 1
.. .x4.o    |  0  4 |  0  0  0  4 | * *  *  * * 6 | 0 0 1 1
------------+-------+-------------+---------------+--------
o.3x.4o.    ♦ 12  0 | 24  0  0  0 | 8 6  0  0 0 0 | 1 * * *
ox3xx ..&#x ♦  3  6 |  3  6  3  3 | 1 0  3  3 1 0 | * 8 * *
.. xx4oo&#x ♦  4  4 |  4  4  0  4 | 0 1  0  4 0 1 | * * 6 *
.x3.x4.o    ♦  0 24 |  0  0 12 24 | 0 0  0  0 8 6 | * * * 1

xx3ox3xx&#x   → height = 1/sqrt(2) = 0.707107
(co || toe)

o.3o.3o.    | 12  * ♦  2  2  2  0  0  0 | 1 2 1  2  1  2 0 0 0 | 1 1 2 1 0
.o3.o3.o    |  * 24 |  0  0  1  1  1  1 | 0 0 0  1  1  1 1 1 1 | 0 1 1 1 1
------------+-------+-------------------+----------------------+----------
x. .. ..    |  2  0 | 12  *  *  *  *  * | 1 1 0  1  0  0 0 0 0 | 1 1 1 0 0
.. .. x.    |  2  0 |  * 12  *  *  *  * | 0 1 1  0  0  1 0 0 0 | 1 0 1 1 0
oo3oo3oo&#x |  1  1 |  *  * 24  *  *  * | 0 0 0  1  1  1 0 0 0 | 0 1 1 1 0
.x .. ..    |  0  2 |  *  *  * 12  *  * | 0 0 0  1  0  0 1 1 0 | 0 1 1 0 1
.. .x ..    |  0  2 |  *  *  *  * 12  * | 0 0 0  0  1  0 1 0 1 | 0 1 0 1 1
.. .. .x    |  0  2 |  *  *  *  *  * 12 | 0 0 0  0  0  1 0 1 1 | 0 0 1 1 1
------------+-------+-------------------+----------------------+----------
x.3o. ..    |  3  0 |  3  0  0  0  0  0 | 4 * *  *  *  * * * * | 1 1 0 0 0
x. .. x.    |  4  0 |  2  2  0  0  0  0 | * 6 *  *  *  * * * * | 1 0 1 0 0
.. o.3x.    |  3  0 |  0  3  0  0  0  0 | * * 4  *  *  * * * * | 1 0 0 1 0
xx .. ..&#x |  2  2 |  1  0  2  1  0  0 | * * * 12  *  * * * * | 0 1 1 0 0
.. ox ..&#x |  1  2 |  0  0  2  0  1  0 | * * *  * 12  * * * * | 0 1 0 1 0
.. .. xx&#x |  2  2 |  0  1  2  0  0  1 | * * *  *  * 12 * * * | 0 0 1 1 0
.x3.x ..    |  0  6 |  0  0  0  3  3  0 | * * *  *  *  * 4 * * | 0 1 0 0 1
.x .. .x    |  0  4 |  0  0  0  2  0  2 | * * *  *  *  * * 6 * | 0 0 1 0 1
.. .x3.x    |  0  6 |  0  0  0  0  3  3 | * * *  *  *  * * * 4 | 0 0 0 1 1
------------+-------+-------------------+----------------------+----------
x.3o.3x.    ♦ 12  0 | 12 12  0  0  0  0 | 4 6 4  0  0  0 0 0 0 | 1 * * * *
xx3ox ..&#x ♦  3  6 |  3  0  6  3  3  0 | 1 0 0  3  3  0 1 0 0 | * 4 * * *
xx .. xx&#x ♦  4  4 |  2  2  4  2  0  2 | 0 1 0  2  0  2 0 1 0 | * * 6 * *
.. ox3xx&#x ♦  3  6 |  0  3  6  0  3  3 | 0 0 1  0  3  3 0 0 1 | * * * 4 *
.x3.x3.x    ♦  0 24 |  0  0  0 12 12 12 | 0 0 0  0  0  0 4 6 4 | * * * * 1