Acronym ritarico
Name rectified-tesseract atop rectified-icositetrachoron,
rectified-tesseract-first segment of small-prismated-triacontiditeron
Circumradius sqrt(7/2) = 1.870829
Lace city
in approx. ASCII-art
       o3x4o  o3o4q  o3x4o       	-- o3o3x4o (rit)
                                 
                                 
                                 
o3x4o  x3x4o  x3o4q  x3x4o  o3x4o	-- x3o3x4o (rico)
Confer
uniform relative:
spat  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox3oo3xx4oo&#x   → height = 1/sqrt(2) = 0.707107
(rit || rico)

o.3o.3o.4o.    | 32  * |  6  3  0   0 |  6  3  3  12  0  0  0  0 |  2 3  1  6  6  6  0  0 0 | 1  2  3 3 0
.o3.o3.o4.o    |  * 96 |  0  1  2   4 |  0  0  2   4  1  4  2  2 |  0 0  1  4  2  2  2  2 1 | 0  2  2 1 1
---------------+-------+--------------+--------------------------+--------------------------+------------
.. .. x. ..    |  2  0 | 96  *  *   * |  2  1  0   2  0  0  0  0 |  1 2  0  1  2  2  0  0 0 | 1  1  1 2 0
oo3oo3oo4oo&#x |  1  1 |  * 96  *   * |  0  0  2   4  0  0  0  0 |  0 0  1  4  2  2  0  0 0 | 0  2  2 1 0
.x .. .. ..    |  0  2 |  *  * 96   * |  0  0  1   0  1  2  0  0 |  0 0  1  2  0  0  2  1 0 | 0  2  1 0 1
.. .. .x ..    |  0  2 |  *  *  * 192 |  0  0  0   1  0  1  1  1 |  0 0  0  1  1  1  1  1 1 | 0  1  1 1 1
---------------+-------+--------------+--------------------------+--------------------------+------------
.. o.3x. ..    |  3  0 |  3  0  0   0 | 64  *  *   *  *  *  *  * |  1 1  0  0  1  0  0  0 0 | 1  1  0 1 0
.. .. x.4o.    |  4  0 |  4  0  0   0 |  * 24  *   *  *  *  *  * |  0 2  0  0  0  2  0  0 0 | 1  0  1 2 0
ox .. .. ..&#x |  1  2 |  0  2  1   0 |  *  * 96   *  *  *  *  * |  0 0  1  2  0  0  0  0 0 | 0  2  1 0 0
.. .. xx ..&#x |  2  2 |  1  2  0   1 |  *  *  * 192  *  *  *  * |  0 0  0  1  1  1  0  0 0 | 0  1  1 1 0
.x3.o .. ..    |  0  3 |  0  0  3   0 |  *  *  *   * 32  *  *  * |  0 0  1  0  0  0  2  0 0 | 0  2  0 0 1
.x .. .x ..    |  0  4 |  0  0  2   2 |  *  *  *   *  * 96  *  * |  0 0  0  1  0  0  1  1 0 | 0  1  1 0 1
.. .o3.x ..    |  0  3 |  0  0  0   3 |  *  *  *   *  *  * 64  * |  0 0  0  0  1  0  1  0 1 | 0  1  0 1 1
.. .. .x4.o    |  0  4 |  0  0  0   4 |  *  *  *   *  *  *  * 48 |  0 0  0  0  0  1  0  1 1 | 0  0  1 1 1
---------------+-------+--------------+--------------------------+--------------------------+------------
o.3o.3x. ..      4  0 |  6  0  0   0 |  4  0  0   0  0  0  0  0 | 16 *  *  *  *  *  *  * * | 1  1  0 0 0
.. o.3x.4o.     12  0 | 24  0  0   0 |  8  6  0   0  0  0  0  0 |  * 8  *  *  *  *  *  * * | 1  0  0 1 0
ox3oo .. ..&#x   1  3 |  0  3  3   0 |  0  0  3   0  1  0  0  0 |  * * 32  *  *  *  *  * * | 0  2  0 0 0
ox .. xx ..&#x   2  4 |  1  4  2   2 |  0  0  2   2  0  1  0  0 |  * *  * 96  *  *  *  * * | 0  1  1 0 0
.. oo3xx ..&#x   3  3 |  3  3  0   3 |  1  0  0   3  0  0  1  0 |  * *  *  * 64  *  *  * * | 0  1  0 1 0
.. .. xx4oo&#x   4  4 |  4  4  0   4 |  0  1  0   4  0  0  0  1 |  * *  *  *  * 48  *  * * | 0  0  1 1 0
.x3.o3.x ..      0 12 |  0  0 12  12 |  0  0  0   0  4  6  4  0 |  * *  *  *  *  * 16  * * | 0  1  0 0 1
.x .. .x4.o      0  8 |  0  0  4   8 |  0  0  0   0  0  4  0  2 |  * *  *  *  *  *  * 24 * | 0  0  1 0 1
.. .o3.x4.o      0 12 |  0  0  0  24 |  0  0  0   0  0  0  8  6 |  * *  *  *  *  *  *  * 8 | 0  0  0 1 1
---------------+-------+--------------+--------------------------+--------------------------+------------
o.3o.3x.4o.     32  0 | 96  0  0   0 | 64 24  0   0  0  0  0  0 | 16 8  0  0  0  0  0  0 0 | 1  *  * * *
ox3oo3xx ..&#x   4 12 |  6 12 12  12 |  4  0 12  12  4  6  4  0 |  1 0  4  6  4  0  1  0 0 | * 16  * * *
ox .. xx4oo&#x   4  8 |  4  8  4   8 |  0  1  4   8  0  4  0  2 |  0 0  0  4  0  2  0  1 0 | *  * 24 * *
.. oo3xx4oo&#x  12 12 | 24 12  0  24 |  8  6  0  24  0  0  8  6 |  0 1  0  0  8  6  0  0 1 | *  *  * 8 *
.x3.o3.x4.o      0 96 |  0  0 96 192 |  0  0  0   0 32 96 64 48 |  0 0  0  0  0  0 16 24 8 | *  *  * * 1

ox3oo3xx *b3xx&#x   → height = 1/sqrt(2) = 0.707107
(rit || rico)

o.3o.3o. *b3o.    | 32  * |  3  3  3  0  0  0 |  3  3  3  3  6  6  0  0  0  0  0  0 | 1 1 3  1  3  3  3  3  6 0 0  0 0 | 1 1 1  3 3 0
.o3.o3.o *b3.o    |  * 96 |  0  0  1  2  2  2 |  0  0  0  2  2  2  1  2  2  1  1  2 | 0 0 0  1  2  2  1  1  2 1 1  2 1 | 0 1 1  2 1 1
------------------+-------+-------------------+-------------------------------------+----------------------------------+-------------
.. .. x.    ..    |  2  0 | 48  *  *  *  *  * |  2  0  1  0  2  0  0  0  0  0  0  0 | 1 0 2  0  1  0  2  0  2 0 0  0 0 | 1 1 0  1 2 0
.. .. ..    .x    |  2  0 |  * 48  *  *  *  * |  0  2  1  0  0  2  0  0  0  0  0  0 | 0 1 2  0  0  1  0  2  2 0 0  0 0 | 1 0 1  1 2 0
oo3oo3oo *b3oo&#x |  1  1 |  *  * 96  *  *  * |  0  0  0  2  2  2  0  0  0  0  0  0 | 0 0 0  1  2  2  1  1  2 0 0  0 0 | 0 1 1  2 1 0
.x .. ..    ..    |  0  2 |  *  *  * 96  *  * |  0  0  0  1  0  0  1  1  1  0  0  0 | 0 0 0  1  1  1  0  0  0 1 1  1 0 | 0 1 1  1 0 1
.. .. .x    ..    |  0  2 |  *  *  *  * 96  * |  0  0  0  0  1  0  0  1  0  1  0  1 | 0 0 0  0  1  0  1  0  1 1 0  1 1 | 0 1 0  1 1 1
.. .. ..    .x    |  0  2 |  *  *  *  *  * 96 |  0  0  0  0  0  1  0  0  1  0  1  1 | 0 0 0  0  0  1  0  1  1 0 1  1 1 | 0 0 1  1 1 1
------------------+-------+-------------------+-------------------------------------+----------------------------------+-------------
.. o.3x.    ..    |  3  0 |  3  0  0  0  0  0 | 32  *  *  *  *  *  *  *  *  *  *  * | 1 0 1  0  0  0  1  0  0 0 0  0 0 | 1 1 0  0 1 0
.. o. .. *b3x.    |  3  0 |  0  3  0  0  0  0 |  * 32  *  *  *  *  *  *  *  *  *  * | 0 1 1  0  0  0  0  1  0 0 0  0 0 | 1 0 1  0 1 0
.. .. x.    x.    |  4  0 |  2  2  0  0  0  0 |  *  * 24  *  *  *  *  *  *  *  *  * | 0 0 2  0  0  0  0  0  2 0 0  0 0 | 1 0 0  1 2 0
ox .. ..    ..&#x |  1  2 |  0  0  2  1  0  0 |  *  *  * 96  *  *  *  *  *  *  *  * | 0 0 0  1  1  1  0  0  0 0 0  0 0 | 0 1 1  1 0 0
.. .. xx    ..&#x |  2  2 |  1  0  2  0  1  0 |  *  *  *  * 96  *  *  *  *  *  *  * | 0 0 0  0  1  0  1  0  1 0 0  0 0 | 0 1 0  1 1 0
.. .. ..    xx&#x |  2  2 |  0  1  2  0  0  1 |  *  *  *  *  * 96  *  *  *  *  *  * | 0 0 0  0  0  1  0  1  1 0 0  0 0 | 0 0 1  1 1 0
.x3.o ..    ..    |  0  3 |  0  0  0  3  0  0 |  *  *  *  *  *  * 32  *  *  *  *  * | 0 0 0  1  0  0  0  0  0 1 1  0 0 | 0 1 1  0 0 1
.x .. .x    ..    |  0  4 |  0  0  0  2  2  0 |  *  *  *  *  *  *  * 48  *  *  *  * | 0 0 0  0  1  0  0  0  0 1 0  1 0 | 0 1 0  1 0 1
.x .. ..    .x    |  0  4 |  0  0  0  2  0  2 |  *  *  *  *  *  *  *  * 48  *  *  * | 0 0 0  0  0  1  0  0  0 0 1  1 0 | 0 0 1  1 0 1
.. .o3.x    ..    |  0  3 |  0  0  0  0  3  0 |  *  *  *  *  *  *  *  *  * 32  *  * | 0 0 0  0  0  0  1  0  0 1 0  0 1 | 0 1 0  0 1 1
.. .o .. *b3.x    |  0  3 |  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  *  * 32  * | 0 0 0  0  0  0  0  1  0 0 1  0 1 | 0 0 1  0 1 1
.. .. .x    .x    |  0  4 |  0  0  0  0  2  2 |  *  *  *  *  *  *  *  *  *  *  * 48 | 0 0 0  0  0  0  0  0  1 0 0  1 1 | 0 0 0  1 1 1
------------------+-------+-------------------+-------------------------------------+----------------------------------+-------------
o.3o.3x.    ..      4  0 |  6  0  0  0  0  0 |  4  0  0  0  0  0  0  0  0  0  0  0 | 8 * *  *  *  *  *  *  * * *  * * | 1 1 0  0 0 0
o.3o. .. *b3x.      4  0 |  0  6  0  0  0  0 |  0  4  0  0  0  0  0  0  0  0  0  0 | * 8 *  *  *  *  *  *  * * *  * * | 1 0 1  0 0 0
.. o.3x. *b3x.     12  0 | 12 12  0  0  0  0 |  4  4  6  0  0  0  0  0  0  0  0  0 | * * 8  *  *  *  *  *  * * *  * * | 1 0 0  0 1 0
ox3oo ..    ..&#x   1  3 |  0  0  3  3  0  0 |  0  0  0  3  0  0  1  0  0  0  0  0 | * * * 32  *  *  *  *  * * *  * * | 0 1 1  0 0 0
ox .. xx    ..&#x   2  4 |  1  0  4  2  2  0 |  0  0  0  2  2  0  0  1  0  0  0  0 | * * *  * 48  *  *  *  * * *  * * | 0 1 0  1 0 0
ox .. ..    xx&#x   2  4 |  0  1  4  2  0  2 |  0  0  0  2  0  2  0  0  1  0  0  0 | * * *  *  * 48  *  *  * * *  * * | 0 0 1  1 0 0
.. oo3xx    ..&#x   3  3 |  3  0  3  0  3  0 |  1  0  0  0  3  0  0  0  0  1  0  0 | * * *  *  *  * 32  *  * * *  * * | 0 1 0  0 1 0
.. oo .. *b3xx&#x   3  3 |  0  3  3  0  0  3 |  0  1  0  0  0  3  0  0  0  0  1  0 | * * *  *  *  *  * 32  * * *  * * | 0 0 1  0 1 0
.. .. xx    xx&#x   4  4 |  2  2  4  0  2  2 |  0  0  1  0  2  2  0  0  0  0  0  1 | * * *  *  *  *  *  * 48 * *  * * | 0 0 0  1 1 0
.x3.o3.x    ..      0 12 |  0  0  0 12 12  0 |  0  0  0  0  0  0  4  6  0  4  0  0 | * * *  *  *  *  *  *  * 8 *  * * | 0 1 0  0 0 1
.x3.o .. *b3.x      0 12 |  0  0  0 12  0 12 |  0  0  0  0  0  0  4  0  6  0  4  0 | * * *  *  *  *  *  *  * * 8  * * | 0 0 1  0 0 1
.x .. .x    .x      0  8 |  0  0  0  4  4  4 |  0  0  0  0  0  0  0  2  2  0  0  2 | * * *  *  *  *  *  *  * * * 24 * | 0 0 0  1 0 1
.. .o3.x *b3.x      0 12 |  0  0  0  0 12 12 |  0  0  0  0  0  0  0  0  0  4  4  6 | * * *  *  *  *  *  *  * * *  * 8 | 0 0 0  0 1 1
------------------+-------+-------------------+-------------------------------------+----------------------------------+-------------
o.3o.3x. *b3x.     32  0 | 48 48  0  0  0  0 | 32 32 24  0  0  0  0  0  0  0  0  0 | 8 8 8  0  0  0  0  0  0 0 0  0 0 | 1 * *  * * *
ox3oo3xx    ..&#x   4 12 |  6  0 12 12 12  0 |  4  0  0 12 12  0  4  6  0  4  0  0 | 1 0 0  4  6  0  4  0  0 1 0  0 0 | * 8 *  * * *
ox3oo .. *b3xx&#x   4 12 |  0  6 12 12  0 12 |  0  4  0 12  0 12  4  0  6  0  4  0 | 0 1 0  4  0  6  0  4  0 0 1  0 0 | * * 8  * * *
ox .. xx    xx&#x   4  8 |  2  2  8  4  4  4 |  0  0  1  4  4  4  0  2  2  0  0  2 | 0 0 0  0  2  2  0  0  2 0 0  1 0 | * * * 24 * *
.. oo3xx *b3xx&#x  12 12 | 12 12 12  0 12 12 |  4  4  6  0 12 12  0  0  0  4  4  6 | 0 0 1  0  0  0  4  4  6 0 0  0 1 | * * *  * 8 *
.x3.o3.x *b3.x      0 96 |  0  0  0 96 96 96 |  0  0  0  0  0  0 32 48 48 32 32 48 | 0 0 0  0  0  0  0  0  0 8 8 24 8 | * * *  * * 1

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