Acronym icou
Name icositetrachoral-based ursateron ofx3xoo4ooo3ooo&#xt,
ico-based ursulate
Circumradius sqrt[(13+5 sqrt(5))/8] = 1.738546
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

ofx3xoo4ooo3ooo&#xt   → height(1,2) = sqrt[sqrt(5)-2] = 0.485868
                        height(2,3) = sqrt[(srt(5)-1)/2] = 0.786151
(rico || pseudo f-ico || ico)

o..3o..4o..3o..     | 96  *  * |   6   2  0  0 |  3   6  1   6  0 |  3  2  3   6  0 | 1  3  2 0
.o.3.o.4.o.3.o.     |  * 24  * |   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  1  8 |  0   0  8   0 12 |  0  0 12   0  6 | 0  6  0 1
--------------------+----------+---------------+------------------+-----------------+----------
... 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
--------------------+----------+---------------+------------------+-----------------+----------
o..3x.. ... ...     |  3  0  0 |   3   0  0  0 | 96   *  *   *  * |  2  0  1   0  0 | 1  2  0 0
... x..4o.. ...     |  4  0  0 |   4   0  0  0 |  * 144  *   *  * |  1  1  0   1  0 | 1  1  1 0
ofx ... ... ...&#xt |  1  2  2 |   0   2  2  1 |  *   * 96   *  * |  0  0  3   0  0 | 0  3  0 0
... xo. ... ...&#x  |  2  1  0 |   1   2  0  0 |  *   *  * 288  * |  0  0  1   2  0 | 0  2  1 0
..x3..o ... ...     |  0  0  3 |   0   0  0  3 |  *   *  *   * 96 |  0  0  1   0  2 | 0  2  0 1
--------------------+----------+---------------+------------------+-----------------+----------
o..3x..4o.. ...      12  0  0 |  24   0  0  0 |  8   6  0   0  0 | 24  *  *   *  * | 1  1  0 0
... x..4o..3o..       8  0  0 |  12   0  0  0 |  0   6  0   0  0 |  * 24  *   *  * | 1  0  1 0
ofx3xoo ... ...&#xt   3  3  3 |   3   6  3  3 |  1   0  3   3  1 |  *  * 96   *  * | 0  2  0 0
... xo.4oo. ...&#x    4  1  0 |   4   4  0  0 |  0   1  0   4  0 |  *  *  * 144  * | 0  1  1 0
..x3..o4..o ...       0  0  6 |   0   0  0 12 |  0   0  0   0  8 |  *  *  *   * 24 | 0  1  0 1
--------------------+----------+---------------+------------------+-----------------+----------
o..3x..4o..3o..      96  0  0 | 288   0  0  0 | 96 144  0   0  0 | 24 24  0   0  0 | 1  *  * *
ofx3xoo4ooo ...&#xt  12  6  6 |  24  24  6 12 |  8   6 12  24  8 |  1  0  8   6  1 | * 24  * *
... xo.4oo.3oo.&#x    8  1  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 96 |  0   0  0   0 96 |  0  0  0   0 24 | *  *  * 1

xoo3ofx3xoo4ooo&#xt   → height(1,2) = sqrt[sqrt(5)-2] = 0.485868
                        height(2,3) = sqrt[(srt(5)-1)/2] = 0.786151
(rico || pseudo f-ico || ico)

o..3o..3o..4o..     | 96  *  * |  2   4   2  0  0 |  1  4  2  2  2  1   4  0  0 |  2  2 1  1  4  2  2  0 0 | 1  2  2 1 0
.o.3.o.3.o.4.o.     |  * 24  * |  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  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 |  * 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..3o.. ... ...     |  3  0  0 |  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   2   0  0  0 |  * 96  *  *  *  *   *  *  * |  1  1 0  0  1  0  0  0 0 | 1  1  1 0 0
... o..3x.. ...     |  3  0  0 |  0   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   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   2  0  0 |  *  *  *  * 96  *   *  *  * |  0  0 0  1  2  0  0  0 0 | 0  2  1 0 0
... ofx ... ...&#xt |  1  2  2 |  0   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   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  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  3 |  *  *  *  *  *  *   *  * 64 |  0  0 0  0  0  1  0  1 1 | 0  1  0 1 1
--------------------+----------+------------------+-----------------------------+--------------------------+------------
x..3o..3x.. ...      12  0  0 | 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   8   0  0  0 |  0  4  0  2  0  0   0  0  0 |  * 24 *  *  *  *  *  * * | 1  0  1 0 0
... o..3x..4o..      12  0  0 |  0  24   0  0  0 |  0  0  8  6  0  0   0  0  0 |  *  * 8  *  *  *  *  * * | 1  0  0 1 0
xoo3ofx ... ...&#xt   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   2   4  0  0 |  0  1  0  0  2  0   2  0  0 |  *  * *  * 96  *  *  * * | 0  1  1 0 0
... ofx3xoo ...&#xt   3  3  3 |  0   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   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 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 12 |  0  0  0  0  0  0   0  0  8 |  *  * *  *  *  *  *  * 8 | 0  0  0 1 1
--------------------+----------+------------------+-----------------------------+--------------------------+------------
x..3o..3x..4o..      96  0  0 | 96 192   0  0  0 | 32 96 64 48  0  0   0  0  0 | 16 24 8  0  0  0  0  0 0 | 1  *  * * *
xoo3ofx3xoo ...&#xt  12  6  6 | 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   8   8  0  0 |  0  4  0  2  4  0   8  0  0 |  0  1 0  0  4  0  2  0 0 | *  * 24 * *
... ofx3xoo4ooo&#xt  12  6  6 |  0  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 96 |  0  0  0  0  0  0   0 32 64 |  0  0 0  0  0  0  0 16 8 | *  *  * * 1

xoo3ofx3xoo *b3xoo&#xt   → height(1,2) = sqrt[sqrt(5)-2] = 0.485868
                           height(2,3) = sqrt[(srt(5)-1)/2] = 0.786151
(rico || pseudo f-ico || ico)

o..3o..3o.. *b3o..     | 96  *  * |  2  2  2   2  0  0 |  1  2  2  1  2  1  2  1  2  2  0  0  0 | 1 1  2 1  1  2  2  1  1  2 0 0 0 | 1 1 1  2 1 0
.o.3.o.3.o. *b3.o.     |  * 24  * |  0  0  0   8  1  0 |  0  0  0  0  0  0  4  8  4  4  0  0  0 | 0 0  0 0  4  2  2  4  4  2 0 0 0 | 0 2 2  1 2 0
..o3..o3..o *b3..o     |  *  * 24 |  0  0  0   0  1  8 |  0  0  0  0  0  0  0  8  0  0  4  4  4 | 0 0  0 0  4  0  0  4  4  0 2 2 2 | 0 2 2  0 2 1
-----------------------+----------+--------------------+----------------------------------------+----------------------------------+-------------
x.. ... ...    ...     |  2  0  0 | 96  *  *   *  *  * |  1  1  1  0  0  0  1  0  0  0  0  0  0 | 1 1  1 0  1  1  1  0  0  0 0 0 0 | 1 1 1  1 0 0
... ... x..    ...     |  2  0  0 |  * 96  *   *  *  * |  0  1  0  1  1  0  0  0  1  0  0  0  0 | 1 0  1 1  0  1  0  1  0  1 0 0 0 | 1 1 0  1 1 0
... ... ...    x..     |  2  0  0 |  *  * 96   *  *  * |  0  0  1  0  1  1  0  0  0  1  0  0  0 | 0 1  1 1  0  0  1  0  1  1 0 0 0 | 1 0 1  1 1 0
oo.3oo.3oo. *b3oo.&#x  |  1  1  0 |  *  *  * 192  *  * |  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 | 0 1 1  1 1 0
.oo3.oo3.oo *b3.oo&#x  |  0  1  1 |  *  *  *   * 24  *   0  0  0  0  0  0  0  8  0  0  0  0  0 | 0 0  0 0  4  0  0  4  4  0 0 0 0 | 0 2 2  0 2 0
... ..x ...    ...     |  0  0  2 |  *  *  *   *  * 96 |  0  0  0  0  0  0  0  1  0  0  1  1  1 | 0 0  0 0  1  0  0  1  1  0 1 1 1 | 0 1 1  0 1 1
-----------------------+----------+--------------------+----------------------------------------+----------------------------------+-------------
x..3o.. ...    ...     |  3  0  0 |  3  0  0   0  0  0 | 32  *  *  *  *  *  *  *  *  *  *  *  * | 1 1  0 0  1  0  0  0  0  0 0 0 0 | 1 1 1  0 0 0
x.. ... x..    ...     |  4  0  0 |  2  2  0   0  0  0 |  * 48  *  *  *  *  *  *  *  *  *  *  * | 1 0  1 0  0  1  0  0  0  0 0 0 0 | 1 1 0  1 0 0
x.. ... ...    x..     |  4  0  0 |  2  0  2   0  0  0 |  *  * 48  *  *  *  *  *  *  *  *  *  * | 0 1  1 0  0  0  1  0  0  0 0 0 0 | 1 0 1  1 0 0
... o..3x..    ...     |  3  0  0 |  0  3  0   0  0  0 |  *  *  * 32  *  *  *  *  *  *  *  *  * | 1 0  0 1  0  0  0  1  0  0 0 0 0 | 1 1 0  0 1 0
... ... x..    x..     |  4  0  0 |  0  2  2   0  0  0 |  *  *  *  * 48  *  *  *  *  *  *  *  * | 0 0  1 1  0  0  0  0  0  1 0 0 0 | 1 0 0  1 1 0
... o.. ... *b3x..     |  3  0  0 |  0  0  3   0  0  0 |  *  *  *  *  * 32  *  *  *  *  *  *  * | 0 1  0 1  0  0  0  0  1  0 0 0 0 | 1 0 1  0 1 0
xo. ... ...    ...&#x  |  2  1  0 |  1  0  0   2  0  0 |  *  *  *  *  *  * 96  *  *  *  *  *  * | 0 0  0 0  1  1  1  0  0  0 0 0 0 | 0 1 1  1 0 0
... ofx ...    ...&#xt |  1  2  2 |  0  0  0   2  2  1 |  *  *  *  *  *  *  * 96  *  *  *  *  * | 0 0  0 0  1  0  0  1  1  0 0 0 0 | 0 1 1  0 1 0
... ... xo.    ...&#x  |  2  1  0 |  0  1  0   2  0  0 |  *  *  *  *  *  *  *  * 96  *  *  *  * | 0 0  0 0  0  1  0  1  0  1 0 0 0 | 0 1 0  1 1 0
... ... ...    xo.&#x  |  2  1  0 |  0  0  1   2  0  0 |  *  *  *  *  *  *  *  *  * 96  *  *  * | 0 0  0 0  0  0  1  0  1  1 0 0 0 | 0 0 1  1 1 0
..o3..x ...    ...     |  0  0  3 |  0  0  0   0  0  3 |  *  *  *  *  *  *  *  *  *  * 32  *  * | 0 0  0 0  1  0  0  0  0  0 1 1 0 | 0 1 1  0 0 1
... ..x3..o    ...     |  0  0  3 |  0  0  0   0  0  3 |  *  *  *  *  *  *  *  *  *  *  * 32  * | 0 0  0 0  0  0  0  1  0  0 1 0 1 | 0 1 0  0 1 1
... ..x ... *b3..o     |  0  0  3 |  0  0  0   0  0  3 |  *  *  *  *  *  *  *  *  *  *  *  * 32 | 0 0  0 0  0  0  0  0  1  0 0 1 1 | 0 0 1  0 1 1
-----------------------+----------+--------------------+----------------------------------------+----------------------------------+-------------
x..3o..3x..    ...      12  0  0 | 12 12  0   0  0  0 |  4  6  0  4  0  0  0  0  0  0  0  0  0 | 8 *  * *  *  *  *  *  *  * * * * | 1 1 0  0 0 0
x..3o.. ... *b3x..      12  0  0 | 12  0 12   0  0  0 |  4  0  6  0  0  4  0  0  0  0  0  0  0 | * 8  * *  *  *  *  *  *  * * * * | 1 0 1  0 0 0
x.. ... x..    x..       8  0  0 |  4  4  4   0  0  0 |  0  2  2  0  2  0  0  0  0  0  0  0  0 | * * 24 *  *  *  *  *  *  * * * * | 1 0 0  1 0 0
... o..3x.. *b3x..      12  0  0 |  0 12 12   0  0  0 |  0  0  0  4  6  4  0  0  0  0  0  0  0 | * *  * 8  *  *  *  *  *  * * * * | 1 0 0  0 1 0
xoo3ofx ...    ...&#xt   3  3  3 |  3  0  0   6  3  3 |  1  0  0  0  0  0  3  3  0  0  1  0  0 | * *  * * 32  *  *  *  *  * * * * | 0 1 1  0 0 0
xo. ... xo.    ...&#x    4  1  0 |  2  2  0   4  0  0 |  0  1  0  0  0  0  2  0  2  0  0  0  0 | * *  * *  * 48  *  *  *  * * * * | 0 1 0  1 0 0
xo. ... ...    xo.&#x    4  1  0 |  2  0  2   4  0  0 |  0  0  1  0  0  0  2  0  0  2  0  0  0 | * *  * *  *  * 48  *  *  * * * * | 0 0 1  1 0 0
... ofx3xoo    ...&#xt   3  3  3 |  0  3  0   6  3  3 |  0  0  0  1  0  0  0  3  3  0  0  1  0 | * *  * *  *  *  * 32  *  * * * * | 0 1 0  0 1 0
... ofx ... *b3xoo&#xt   3  3  3 |  0  0  3   6  3  3 |  0  0  0  0  0  1  0  3  0  3  0  0  1 | * *  * *  *  *  *  * 32  * * * * | 0 0 1  0 1 0
... ... xo.    xo.&#x    4  1  0 |  0  2  2   4  0  0 |  0  0  0  0  1  0  0  0  2  2  0  0  0 | * *  * *  *  *  *  *  * 48 * * * | 0 0 0  1 1 0
..o3..x3..o    ...       0  0  6 |  0  0  0   0  0 12 |  0  0  0  0  0  0  0  0  0  0  4  4  0 | * *  * *  *  *  *  *  *  * 8 * * | 0 1 0  0 0 1
..o3..x ... *b3..o       0  0  6 |  0  0  0   0  0 12 |  0  0  0  0  0  0  0  0  0  0  4  0  4 | * *  * *  *  *  *  *  *  * * 8 * | 0 0 1  0 0 1
... ..x3..o *b3..o       0  0  6 |  0  0  0   0  0 12 |  0  0  0  0  0  0  0  0  0  0  0  4  4 | * *  * *  *  *  *  *  *  * * * 8 | 0 0 0  0 1 1
-----------------------+----------+--------------------+----------------------------------------+----------------------------------+-------------
x..3o..3x.. *b3x..      96  0  0 | 96 96 96   0  0  0 | 32 48 48 32 48 32  0  0  0  0  0  0  0 | 8 8 24 8  0  0  0  0  0  0 0 0 0 | 1 * *  * * *
xoo3ofx3xoo    ...&#xt  12  6  6 | 12 12  0  24  6 12 |  4  6  0  4  0  0 12 12 12  0  4  4  0 | 1 0  0 0  4  6  0  4  0  0 1 0 0 | * 8 *  * * *
xoo3ofx ... *b3xoo&#xt  12  6  6 | 12  0 12  24  6 12 |  4  0  6  0  0  4 12 12  0 12  4  0  4 | 0 1  0 0  4  0  6  0  4  0 0 1 0 | * * 8  * * *
xo. ... xo.    xo.&#x    8  1  0 |  4  4  4   8  0  0 |  0  2  2  0  2  0  4  0  4  4  0  0  0 | 0 0  1 0  0  2  2  0  0  2 0 0 0 | * * * 24 * *
... ofx3xoo *b3xoo&#xt  12  6  6 |  0 12 12  24  6 12 |  0  0  0  4  6  4  0 12 12 12  0  4  4 | 0 0  0 1  0  0  0  4  4  6 0 0 1 | * * *  * 8 *
..o3..x3..o *b3..o       0  0 24 |  0  0  0   0  0 96 |  0  0  0  0  0  0  0  0  0  0 32 32 32 | 0 0  0 0  0  0  0  0  0  0 8 8 8 | * * *  * * 1

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