Acronym ictum
Name (degenerate) ico-based tutsateron,
ico-first bistratic "cap" of thext
Circumradius ∞   i.e. flat in euclidean space
Face vector 240, 696, 720, 312, 50
Confer
uniform relative:
thext  
general polytopal classes:
tutsatopes   decomposition  

It either can be thought of as a degenerate 5D tutsatope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.


Incidence matrix according to Dynkin symbol

xux3xoo4ooo3ooo&#xt   → both heights = 0
(tico || u-ico || ico)

o..3o..4o..3o..     | 192  *  * |  1   3   1  0  0 |  3   3  1   3  0 |  3  1  3   3  0 | 1  3  1 0
.o.3.o.4.o.3.o.     |   * 24  * |  0   0   8  1  0 |  0   0  8  12  0 |  0  0 12   6  0 | 0  6  1 0
..o3..o4..o3..o     |   *  * 24 |  0   0   0  1  8 |  0   0  8   0 12 |  0  0 12   0  6 | 0  6  0 1
--------------------+-----------+------------------+------------------+-----------------+----------
x.. ... ... ...     |   2  0  0 | 96   *   *  *  * |  3   0  1   0  0 |  3  0  3   0  0 | 1  3  0 0
... x.. ... ...     |   2  0  0 |  * 288   *  *  * |  1   2  0   1  0 |  2  1  1   2  0 | 1  2  1 0
oo.3oo.4oo.3oo.&#x  |   1  1  0 |  *   * 192  *  * |  0   0  1   3  0 |  0  0  3   3  0 | 0  3  1 0
.oo3.oo4.oo3.oo&#x  |   0  1  1 |  *   *   * 24  *   0   0  8   0  0 |  0  0 12   0  0 | 0  6  0 0
..x ... ... ...     |   0  0  2 |  *   *   *  * 96 |  0   0  1   0  3 |  0  0  3   0  3 | 0  3  0 1
--------------------+-----------+------------------+------------------+-----------------+----------
x..3x.. ... ...     |   6  0  0 |  3   3   0  0  0 | 96   *  *   *  * |  2  0  1   0  0 | 1  2  0 0
... x..4o.. ...     |   4  0  0 |  0   4   0  0  0 |  * 144  *   *  * |  1  1  0   1  0 | 1  1  1 0
xux ... ... ...&#xt |   2  2  2 |  1   0   2  2  1 |  *   * 96   *  * |  0  0  3   0  0 | 0  3  0 0
... xo. ... ...&#x  |   2  1  0 |  0   1   2  0  0 |  *   *  * 288  * |  0  0  1   2  0 | 0  2  1 0
..x3..o ... ...     |   0  0  3 |  0   0   0  0  3 |  *   *  *   * 96 |  0  0  1   0  2 | 0  2  0 1
--------------------+-----------+------------------+------------------+-----------------+----------
x..3x..4o.. ...       24  0  0 | 12  24   0  0  0 |  8   6  0   0  0 | 24  *  *   *  * | 1  1  0 0
... x..4o..3o..        8  0  0 |  0  12   0  0  0 |  0   6  0   0  0 |  * 24  *   *  * | 1  0  1 0
xux3xoo ... ...&#xt    6  3  3 |  3   3   6  3  3 |  1   0  3   3  1 |  *  * 96   *  * | 0  2  0 0
... xo.4oo. ...&#x     4  1  0 |  0   4   4  0  0 |  0   1  0   4  0 |  *  *  * 144  * | 0  1  1 0
..x3..o4..o ...        0  0  6 |  0   0   0  0 12 |  0   0  0   0  8 |  *  *  *   * 24 | 0  1  0 1
--------------------+-----------+------------------+------------------+-----------------+----------
x..3x..4o..3o..      192  0  0 | 96 288   0  0  0 | 96 144  0   0  0 | 24 24  0   0  0 | 1  *  * *
xux3xoo4ooo ...&#xt   24  6  6 | 12  24  24  6 12 |  8   6 12  24  8 |  1  0  8   6  1 | * 24  * *
... xo.4oo.3oo.&#x     8  1  0 |  0  12   8  0  0 |  0   6  0  12  0 |  0  1  0   6  0 | *  * 24 *
..x3..o4..o3..o        0  0 24 |  0   0   0  0 96 |  0   0  0   0 96 |  0  0  0   0 24 | *  *  * 1

xoo3xux3xoo4ooo&#xt   → both heights = 0
(tico || u-ico || ico)

o..3o..3o..4o..     | 192  *  * |  1  1   2   1  0  0 |  1  2  2  1  1  1   2  0  0 |  2  1 1  1  2  2  1  0 0 | 1  2  1 1 0
.o.3.o.3.o.4.o.     |   * 24  * |  0  0   0   8  1  0 |  0  0  0  0  4  8   8  0  0 |  0  0 0  4  4  8  2  0 0 | 0  4  1 2 0
..o3..o3..o4..o     |   *  * 24 |  0  0   0   0  1  8 |  0  0  0  0  0  8   0  4  8 |  0  0 0  4  0  8  0  4 2 | 0  4  0 2 1
--------------------+-----------+---------------------+-----------------------------+--------------------------+------------
x.. ... ... ...     |   2  0  0 | 96  *   *   *  *  * |  1  2  0  0  1  0   0  0  0 |  2  1 0  1  2  0  0  0 0 | 1  2  1 0 0
... x.. ... ...     |   2  0  0 |  * 96   *   *  *  * |  1  0  2  0  0  1   0  0  0 |  2  0 1  1  0  2  0  0 0 | 1  2  0 1 0
... ... x.. ...     |   2  0  0 |  *  * 192   *  *  * |  0  1  1  1  0  0   1  0  0 |  1  1 1  0  1  1  1  0 0 | 1  1  1 1 0
oo.3oo.3oo.4oo.&#x  |   1  1  0 |  *  *   * 192  *  * |  0  0  0  0  1  1   2  0  0 |  0  0 0  1  2  2  1  0 0 | 0  2  1 1 0
.oo3.oo3.oo4.oo&#x  |   0  1  1 |  *  *   *   * 24  *   0  0  0  0  0  8   0  0  0 |  0  0 0  4  0  8  0  0 0 | 0  4  0 2 0
... ..x ... ...     |   0  0  2 |  *  *   *   *  * 96 |  0  0  0  0  0  1   0  1  2 |  0  0 0  1  0  2  0  2 1 | 0  2  0 1 1
--------------------+-----------+---------------------+-----------------------------+--------------------------+------------
x..3x.. ... ...     |   6  0  0 |  3  3   0   0  0  0 | 32  *  *  *  *  *   *  *  * |  2  0 0  1  0  0  0  0 0 | 1  2  0 0 0
x.. ... x.. ...     |   4  0  0 |  2  0   2   0  0  0 |  * 96  *  *  *  *   *  *  * |  1  1 0  0  1  0  0  0 0 | 1  1  1 0 0
... x..3x.. ...     |   6  0  0 |  0  3   3   0  0  0 |  *  * 64  *  *  *   *  *  * |  1  0 1  0  0  1  0  0 0 | 1  1  0 1 0
... ... x..4o..     |   4  0  0 |  0  0   4   0  0  0 |  *  *  * 48  *  *   *  *  * |  0  1 1  0  0  0  1  0 0 | 1  0  1 1 0
xo. ... ... ...&#x  |   2  1  0 |  1  0   0   2  0  0 |  *  *  *  * 96  *   *  *  * |  0  0 0  1  2  0  0  0 0 | 0  2  1 0 0
... xux ... ...&#xt |   2  2  2 |  0  1   0   2  2  1 |  *  *  *  *  * 96   *  *  * |  0  0 0  1  0  2  0  0 0 | 0  2  0 1 0
... ... xo. ...&#x  |   2  1  0 |  0  0   1   2  0  0 |  *  *  *  *  *  * 192  *  * |  0  0 0  0  1  1  1  0 0 | 0  1  1 1 0
..o3..x ... ...     |   0  0  3 |  0  0   0   0  0  3 |  *  *  *  *  *  *   * 32  * |  0  0 0  1  0  0  0  2 0 | 0  2  0 0 1
... ..x3..o ...     |   0  0  3 |  0  0   0   0  0  3 |  *  *  *  *  *  *   *  * 64 |  0  0 0  0  0  1  0  1 1 | 0  1  0 1 1
--------------------+-----------+---------------------+-----------------------------+--------------------------+------------
x..3x..3x.. ...       24  0  0 | 12 12  12   0  0  0 |  4  6  4  0  0  0   0  0  0 | 16  * *  *  *  *  *  * * | 1  1  0 0 0
x.. ... x..4o..        8  0  0 |  4  0   8   0  0  0 |  0  4  0  2  0  0   0  0  0 |  * 24 *  *  *  *  *  * * | 1  0  1 0 0
... x..3x..4o..       24  0  0 |  0 12  24   0  0  0 |  0  0  8  6  0  0   0  0  0 |  *  * 8  *  *  *  *  * * | 1  0  0 1 0
xoo3xux ... ...&#xt    6  3  3 |  3  3   0   6  3  3 |  1  0  0  0  3  3   0  1  0 |  *  * * 32  *  *  *  * * | 0  2  0 0 0
xo. ... xo. ...&#x     4  1  0 |  2  0   2   4  0  0 |  0  1  0  0  2  0   2  0  0 |  *  * *  * 96  *  *  * * | 0  1  1 0 0
... xux3xoo ...&#xt    6  3  3 |  0  3   3   6  3  3 |  0  0  1  0  0  3   3  0  1 |  *  * *  *  * 64  *  * * | 0  1  0 1 0
... ... xo.4oo.&#x     4  1  0 |  0  0   4   4  0  0 |  0  0  0  1  0  0   4  0  0 |  *  * *  *  *  * 48  * * | 0  0  1 1 0
..o3..x3..o ...        0  0  6 |  0  0   0   0  0 12 |  0  0  0  0  0  0   0  4  4 |  *  * *  *  *  *  * 16 * | 0  1  0 0 1
... ..x3..o4..o        0  0  6 |  0  0   0   0  0 12 |  0  0  0  0  0  0   0  0  8 |  *  * *  *  *  *  *  * 8 | 0  0  0 1 1
--------------------+-----------+---------------------+-----------------------------+--------------------------+------------
x..3x..3x..4o..      192  0  0 | 96 96 192   0  0  0 | 32 96 64 48  0  0   0  0  0 | 16 24 8  0  0  0  0  0 0 | 1  *  * * *
xoo3xux3xoo ...&#xt   24  6  6 | 12 12  12  24  6 12 |  4  6  4  0 12 12  12  4  4 |  1  0 0  4  6  4  0  1 0 | * 16  * * *
xo. ... xo.4oo.&#x     8  1  0 |  4  0   8   8  0  0 |  0  4  0  2  4  0   8  0  0 |  0  1 0  0  4  0  2  0 0 | *  * 24 * *
... xux3xoo4ooo&#xt   24  6  6 |  0 12  24  24  6 12 |  0  0  8  6  0 12  24  0  8 |  0  0 1  0  0  8  6  0 1 | *  *  * 8 *
..o3..x3..o4..o        0  0 24 |  0  0   0   0  0 96 |  0  0  0  0  0  0   0 32 64 |  0  0 0  0  0  0  0 16 8 | *  *  * * 1

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