Acronym icates, ico || tes
Name icositetrachoron atop tesseract
Circumradius sqrt[3+sqrt(2)]/2 = 1.050501
Lace city
in approx. ASCII-art
    o3o4x   o3o4x    
                     
                     
                     
                     
x3o4o   o3x4o   x3o4o
Confer
related segmentotera:
ico || dual ico  
general polytopal classes:
segmentotera   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

oo3ox3oo4xo&#x   → height = sqrt[sqrt(2)-1] = 0.643594
(ico || tes)

o.3o.3o.4o.    | 16  * |  4  6  0 |  6  12  0  0  0 | 4  4  4 12  6  0 0 | 1  1  4 4 0
.o3.o3.o4.o    |  * 24   0  4  8 |  0  16  4  4  8 | 0  8  8  8  1  4 2 | 0  4  4 2 1
---------------+-------+----------+-----------------+--------------------+------------
.. .. .. x.    |  2  0 | 32  *  * |  3   0  3  0  0 | 3  0  0  3  3  0 0 | 1  0  1 3 0
oo3oo3oo4oo&#x |  1  1 |  * 96  * |  0   4  2  0  0 | 0  2  2  4  1  0 0 | 0  1  2 2 0
.. .x .. ..    |  0  2 |  *  * 96 |  0   2  0  1  2 | 0  2  2  1  0  2 1 | 0  2  1 1 1
---------------+-------+----------+-----------------+--------------------+------------
.. .. o.4x.    |  4  0 |  4  0  0 | 24   *  *  *  * | 2  0  0  0  1  0 0 | 1  0  0 2 0
.. ox .. ..&#x |  1  2 |  0  2  1 |  * 192  *  *  * | 0  1  1  1  0  0 0 | 0  1  1 1 0
.. .. .. xo&#x |  2  1 |  1  2  0 |  *   * 96  *  * | 0  0  0  2  1  0 0 | 0  0  1 2 0
.o3.x .. ..    |  0  3 |  0  0  3 |  *   *  * 32  * | 0  2  0  0  0  2 0 | 0  2  1 0 1
.. .x3.o ..    |  0  3 |  0  0  3 |  *   *  *  * 64 | 0  0  1  0  0  1 1 | 0  1  0 1 1
---------------+-------+----------+-----------------+--------------------+------------
.. o.3o.4x.      8  0 | 12  0  0 |  6   0  0  0  0 | 8  *  *  *  *  * * | 1  0  0 1 0
oo3ox .. ..&#x   1  3 |  0  3  3 |  0   3  0  1  0 | * 64  *  *  *  * * | 0  1  1 0 0
.. ox3oo ..&#x   1  3 |  0  3  3 |  0   3  0  0  1 | *  * 64  *  *  * * | 0  1  0 1 0
.. ox .. xo&#x   2  2 |  1  4  1 |  0   2  2  0  0 | *  *  * 96  *  * * | 0  0  1 1 0
.. .. oo4xo&#x   4  1 |  4  4  0 |  1   0  4  0  0 | *  *  *  * 24  * * | 0  0  0 2 0
.o3.x3.o ..      0  6 |  0  0 12 |  0   0  0  4  4 | *  *  *  *  * 16 * | 0  1  0 0 1
.. .x3.o4.o      0  6 |  0  0 12 |  0   0  0  0  8 | *  *  *  *  *  * 8 | 0  0  0 1 1
---------------+-------+----------+-----------------+--------------------+------------
o.3o.3o.4x.     16  0 | 32  0  0 | 24   0  0  0  0 | 8  0  0  0  0  0 0 | 1  *  * * *
oo3ox3oo ..&#x   1  6 |  0  6 12 |  0  12  0  4  4 | 0  4  4  0  0  1 0 | * 16  * * *
oo3ox .. xo&#x   2  3 |  1  6  3 |  0   6  3  1  0 | 0  2  0  3  0  0 0 | *  * 32 * *
.. ox3oo4xo&#x   8  6 | 12 24 12 |  6  24 24  0  8 | 1  0  8 12  6  0 1 | *  *  * 8 *
.o3.x3.o4.o      0 24 |  0  0 96 |  0   0  0 32 64 | 0  0  0  0  0 16 8 | *  *  * * 1

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