Acronym tacu
Name tac-based ursapeton
Circumradius sqrt[3+sqrt(5)]/2 = 1.144123
Inradius
wrt. hexpy
sqrt[1+sqrt(5)]/2 = 0.899454
Inradius
wrt. tac
sqrt[1+sqrt(5)]/2 = 0.899454
Inradius
wrt. rit
sqrt[sqrt(5)-1]/2 = 0.555893
Inradius
wrt. penu
1/2 = 0.5
Face vector 60, 370, 760, 720, 314, 44
Confer
general polytopal classes:
ursatopes  
analogs:
ursatope oUn  

Incidence matrix according to Dynkin symbol

ofx3xoo3ooo3ooo4ooo&#xt   → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893
                            height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454
(rat || f-tac || tac)

o..3o..3o..3o..4o..     | 40  *  * |  12  2  0  0 |  6  24  1  12  0 | 12  16  6  24  0 |  8  2 12  16  0 | 1  8  2 0
.o.3.o.3.o.3.o.4.o.     |  * 10  * |   0  8  1  0 |  0   0  8  24  0 |  0   0 24  32  0 |  0  0 32  16  0 | 0 16  1 0
..o3..o3..o3..o4..o     |  *  * 10 |   0  0  1  8 |  0   0  8   0 24 |  0   0 24   0 32 |  0  0 32   0 16 | 0 16  0 1
------------------------+----------+--------------+------------------+------------------+-----------------+----------
... x.. ... ... ...     |  2  0  0 | 240  *  *  * |  1   4  0   1  0 |  4   4  1   4  0 |  4  1  4   4  0 | 1  4  1 0
oo.3oo.3oo.3oo.4oo.&#x  |  1  1  0 |   * 80  *  * |  0   0  1   6  0 |  0   0  6  12  0 |  0  0 12   8  0 | 0  8  1 0
.oo3.oo3.oo3.oo4.oo&#x  |  0  1  1 |   *  * 10  *   0   0  8   0  0 |  0   0 24   0  0 |  0  0 32   0  0 | 0 16  0 0
..x ... ... ... ...     |  0  0  2 |   *  *  * 40 |  0   0  1   0  6 |  0   0  6   0 12 |  0  0 12   0  8 | 0  8  0 1
------------------------+----------+--------------+------------------+------------------+-----------------+----------
o..3x.. ... ... ...     |  3  0  0 |   3  0  0  0 | 80   *  *   *  * |  4   0  1   0  0 |  4  0  4   0  0 | 1  4  0 0
... x..3o.. ... ...     |  3  0  0 |   3  0  0  0 |  * 320  *   *  * |  1   2  0   1  0 |  2  1  1   2  0 | 1  2  1 0
ofx ... ... ... ...&#xt |  1  2  2 |   0  2  2  1 |  *   * 40   *  *   0   0  6   0  0 |  0  0 12   0  0 | 0  8  0 0
... xo. ... ... ...&#x  |  2  1  0 |   1  2  0  0 |  *   *  * 240  * |  0   0  1   4  0 |  0  0  4   4  0 | 0  4  1 0
..x3..o ... ... ...     |  0  0  3 |   0  0  0  3 |  *   *  *   * 80 |  0   0  1   0  4 |  0  0  4   0  4 | 0  4  0 1
------------------------+----------+--------------+------------------+------------------+-----------------+----------
o..3x..3o.. ... ...       6  0  0 |  12  0  0  0 |  4   4  0   0  0 | 80   *  *   *  * |  2  0  1   0  0 | 1  2  0 0
... x..3o..3o.. ...       4  0  0 |   6  0  0  0 |  0   4  0   0  0 |  * 160  *   *  * |  1  1  0   1  0 | 1  1  1 0
ofx3xoo ... ... ...&#xt   3  3  3 |   3  6  3  3 |  1   0  3   3  1 |  *   * 80   *  * |  0  0  4   0  0 | 0  4  0 0
... xo.3oo. ... ...&#x    3  1  0 |   3  3  0  0 |  0   1  0   3  0 |  *   *  * 320  * |  0  0  1   2  0 | 0  2  1 0
..x3..o3..o ... ...       0  0  4 |   0  0  0  6 |  0   0  0   0  4 |  *   *  *   * 80 |  0  0  1   0  2 | 0  2  0 1
------------------------+----------+--------------+------------------+------------------+-----------------+----------
o..3x..3o..3o.. ...      10  0  0 |  30  0  0  0 | 10  20  0   0  0 |  5   5  0   0  0 | 32  *  *   *  * | 1  1  0 0
... x..3o..3o..4o..       8  0  0 |  24  0  0  0 |  0  32  0   0  0 |  0  16  0   0  0 |  * 10  *   *  * | 1  0  1 0
ofx3xoo3ooo ... ...&#xt   6  4  4 |  12 12  4  6 |  4   4  6  12  4 |  1   0  4   4  1 |  *  * 80   *  * | 0  2  0 0
... xo.3oo.3oo. ...&#x    4  1  0 |   6  4  0  0 |  0   4  0   6  0 |  0   1  0   4  0 |  *  *  * 160  * | 0  1  1 0
..x3..o3..o3..o ...       0  0  5 |   0  0  0 10 |  0   0  0   0 10 |  0   0  0   0  5 |  *  *  *   * 32 | 0  1  0 1
------------------------+----------+--------------+------------------+------------------+-----------------+----------
o..3x..3o..3o..4o..      40  0  0 | 240  0  0  0 | 80 320  0   0  0 | 80 160  0   0  0 | 32 10  0   0  0 | 1  *  * *
ofx3xoo3ooo3ooo ...&#xt  10  5  5 |  30 20  5 10 | 10  20 10  30 10 |  5   5 10  20  5 |  1  0  5   5  1 | * 32  * *
... xo.3oo.3oo.4oo.&#x    8  1  0 |  24  8  0  0 |  0  32  0  24  0 |  0  16  0  32  0 |  0  1  0  16  0 | *  * 10 *
..x3..o3..o3..o4..o       0  0 10 |   0  0  0 40 |  0   0  0   0 80 |  0   0  0   0 80 |  0  0  0   0 32 | *  *  * 1

ofx3xoo3ooo3ooo *c3ooo&#xt   → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893
                               height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454
(rat || f-tac || tac)

o..3o..3o..3o.. *c3o..     | 40  *  * |  12  2  0  0 |  6  24  1  12  0 | 12  8  8  6  24  0 |  4  4  2 12  8  8  0  0 | 1  4  4  2 0
.o.3.o.3.o.3.o. *c3.o.     |  * 10  * |   0  8  1  0 |  0   0  8  24  0 |  0  0  0 24  32  0 |  0  0  0 32  8  8  0  0 | 0  8  8  1 0
..o3..o3..o3..o *c3..o     |  *  * 10 |   0  0  1  8 |  0   0  8   0 24 |  0  0  0 24   0 32 |  0  0  0 32  0  0  8  8 | 0  8  8  0 1
---------------------------+----------+--------------+------------------+--------------------+-------------------------+-------------
... x.. ... ...    ...     |  2  0  0 | 240  *  *  * |  1   4  0   1  0 |  4  2  2  1   4  0 |  2  2  1  4  2  2  0  0 | 1  2  2  1 0
oo.3oo.3oo.3oo. *c3oo.&#x  |  1  1  0 |   * 80  *  * |  0   0  1   6  0 |  0  0  0  6  12  0 |  0  0  0 12  4  4  0  0 | 0  4  4  1 0
.oo3.oo3.oo3.oo *c3.oo&#x  |  0  1  1 |   *  * 10  *   0   0  8   0  0 |  0  0  0 24   0  0 |  0  0  0 32  0  0  0  0 | 0  8  8  0 0
..x ... ... ...    ...     |  0  0  2 |   *  *  * 40 |  0   0  1   0  6 |  0  0  0  6   0 12 |  0  0  0 12  0  0  4  4 | 0  4  4  0 1
---------------------------+----------+--------------+------------------+--------------------+-------------------------+-------------
o..3x.. ... ...    ...     |  3  0  0 |   3  0  0  0 | 80   *  *   *  * |  4  0  0  1   0  0 |  2  2  0  4  0  0  0  0 | 1  2  2  0 0
... x..3o.. ...    ...     |  3  0  0 |   3  0  0  0 |  * 320  *   *  * |  1  1  1  0   1  0 |  1  1  1  1  1  1  0  0 | 1  1  1  1 0
ofx ... ... ...    ...&#xt |  1  2  2 |   0  2  2  1 |  *   * 40   *  *   0  0  0  6   0  0 |  0  0  0 12  0  0  0  0 | 0  4  4  0 0
... xo. ... ...    ...&#x  |  2  1  0 |   1  2  0  0 |  *   *  * 240  * |  0  0  0  1   4  0 |  0  0  0  4  2  2  0  0 | 0  2  2  1 0
..x3..o.... ...    ...     |  0  0  3 |   0  0  0  3 |  *   *  *   * 80 |  0  0  0  1   0  4 |  0  0  0  4  0  0  2  2 | 0  2  2  0 1
---------------------------+----------+--------------+------------------+--------------------+-------------------------+-------------
o..3x..3o.. ...    ...       6  0  0 |  12  0  0  0 |  4   4  0   0  0 | 80  *  *  *   *  * |  1  1  0  1  0  0  0  0 | 1  1  1  0 0
... x..3o..3o..    ...       4  0  0 |   6  0  0  0 |  0   4  0   0  0 |  * 80  *  *   *  * |  1  0  1  0  1  0  0  0 | 1  1  0  1 0
... x..3o.. ... *c3o..       4  0  0 |   6  0  0  0 |  0   4  0   0  0 |  *  * 80  *   *  * |  0  1  1  0  0  1  0  0 | 1  0  1  1 0
ofx3xoo ... ...    ...&#xt   3  3  3 |   3  6  3  3 |  1   0  3   3  1 |  *  *  * 80   *  * |  0  0  0  4  0  0  0  0 | 0  2  2  0 0
... xo.3oo. ...    ...&#x    3  1  0 |   3  3  0  0 |  0   1  0   3  0 |  *  *  *  * 320  * |  0  0  0  1  1  1  0  0 | 0  1  1  1 0
..x3..o3..o ...    ...       0  0  4 |   0  0  0  6 |  0   0  0   0  4 |  *  *  *  *   * 80 |  0  0  0  1  0  0  1  1 | 0  1  1  0 1
---------------------------+----------+--------------+------------------+--------------------+-------------------------+-------------
o..3x..3o..3o..    ...      10  0  0 |  30  0  0  0 | 10  20  0   0  0 |  5  5  0  0   0  0 | 16  *  *  *  *  *  *  * | 1  1  0  0 0
o..3x..3o.. ... *c3o..      10  0  0 |  30  0  0  0 | 10  20  0   0  0 |  5  0  5  0   0  0 |  * 16  *  *  *  *  *  * | 1  0  1  0 0
... x..3o..3o.. *c3o..       8  0  0 |  24  0  0  0 |  0  32  0   0  0 |  0  8  8  0   0  0 |  *  * 10  *  *  *  *  * | 1  0  0  1 0
ofx3xoo3ooo ...    ...&#xt   6  4  4 |  12 12  4  6 |  4   4  6  12  4 |  1  0  0  4   4  1 |  *  *  * 80  *  *  *  * | 0  1  1  0 0
... xo.3oo.3oo.    ...&#x    4  1  0 |   6  4  0  0 |  0   4  0   6  0 |  0  1  0  0   4  0 |  *  *  *  * 80  *  *  * | 0  1  0  1 0
... xo.3oo. ... *c3oo.&#x    4  1  0 |   6  4  0  0 |  0   4  0   6  0 |  0  0  1  0   4  0 |  *  *  *  *  * 80  *  * | 0  0  1  1 0
..x3..o3..o3..o    ...       0  0  5 |   0  0  0 10 |  0   0  0   0 10 |  0  0  0  0   0  5 |  *  *  *  *  *  * 16  * | 0  1  0  0 1
..x3..o3..o ... *c3..o       0  0  5 |   0  0  0 10 |  0   0  0   0 10 |  0  0  0  0   0  5 |  *  *  *  *  *  *  * 16 | 0  0  1  0 1
---------------------------+----------+--------------+------------------+--------------------+-------------------------+-------------
o..3x..3o..3o.. *c3o..      40  0  0 | 240  0  0  0 | 80 320  0   0  0 | 80 80 80  0   0  0 | 16 16 10  0  0  0  0  0 | 1  *  *  * *
ofx3xoo3ooo3ooo    ...&#xt  10  5  5 |  30 20  5 10 | 10  20 10  30 10 |  5  5  0 10  20  5 |  1  0  0  5  5  0  1  0 | * 16  *  * *
ofx3xoo3ooo ... *c3ooo&#xt  10  5  5 |  30 20  5 10 | 10  20 10  30 10 |  5  0  5 10  20  5 |  0  1  0  5  0  5  0  1 | *  * 16  * *
... xo.3oo.3oo. *c3oo.&#x    8  1  0 |  24  8  0  0 |  0  32  0  24  0 |  0  8  8  0  32  0 |  0  0  1  0  8  8  0  0 | *  *  * 10 *
..x3..o3..o3..o *c3..o       0  0 10 |   0  0  0 40 |  0   0  0   0 80 |  0  0  0  0   0 80 |  0  0  0  0  0  0 16 16 | *  *  *  * 1

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