Acronym hopu
Name heptapeton-based ursaexon,
hop-based ursulate,
vertex figure of o3o3o3o3o3o4s3s
Circumradius sqrt[(25+9 sqrt(5))/40] = 1.062128
Inradius
wrt. hop
sqrt[(55+63 sqrt(5))/280] = 0.836387
Inradius
wrt. ril
sqrt[(63 sqrt(5)-25)/280] = 0.643296
Inradius
wrt. hixu
sqrt[(15-sqrt(5))/440] = 0.170320
Face vector 35, 175, 336, 350, 224, 84, 16
Confer
general polytopal classes:
ursatopes  
analogs:
ursatope Un  

Incidence matrix according to Dynkin symbol

ofx3xoo3ooo3ooo3ooo3ooo&#xt   → height(1,2) = sqrt[sqrt(5)/7] = 0.565189
                                height(2,3) = sqrt[(5+3 sqrt(5))/14] = 0.914495
(ril || pseudo f-hop || hop)

o..3o..3o..3o..3o..3o..     | 21 * * |  10  2 0  0 |  5  20  1  10  0 | 10  20  5  20  0 | 10 10 10  20  0 | 5 2 10 10 0 | 1 5 2 0
.o.3.o.3.o.3.o.3.o.3.o.     |  * 7 * |   0  6 1  0 |  0   0  6  15  0 |  0   0 15  20  0 |  0  0 20  15  0 | 0 0 15  6 0 | 0 6 1 0
..o3..o3..o3..o3..o3..o     |  * * 7 |   0  0 1  6 |  0   0  6   0 15 |  0   0 15   0 20 |  0  0 20   0 15 | 0 0 15  0 6 | 0 6 0 1
----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+--------
... x.. ... ... ... ...     |  2 0 0 | 105  * *  * |  1   4  0   1  0 |  4   6  1   4  0 |  6  4  4   6  0 | 4 1  6  4 0 | 1 4 1 0
oo.3oo.3oo.3oo.3oo.3oo.&#x  |  1 1 0 |   * 42 *  * |  0   0  1   5  0 |  0   0  5  10  0 |  0  0 10  10  0 | 0 0 10  5 0 | 0 5 1 0
.oo3.oo3.oo3.oo3.oo3.oo&#x  |  0 1 1 |   *  * 7  *   0   0  6   0  0 |  0   0 15   0  0 |  0  0 20   0  0 | 0 0 15  0 0 | 0 6 0 0
..x ... ... ... ... ...     |  0 0 2 |   *  * * 21 |  0   0  1   0  5 |  0   0  5   0 10 |  0  0 10   0 10 | 0 0 10  0 5 | 0 5 0 1
----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+--------
o..3x.. ... ... ... ...     |  3 0 0 |   3  0 0  0 | 35   *  *   *  * |  4   0  1   0  0 |  6  0  4   0  0 | 4 0  6  0 0 | 1 4 0 0
... x..3o.. ... ... ...     |  3 0 0 |   3  0 0  0 |  * 140  *   *  * |  1   3  0   1  0 |  3  3  1   3  0 | 3 1  3  3 0 | 1 3 1 0
ofx ... ... ... ... ...&#xt |  1 2 2 |   0  2 2  1 |  *   * 21   *  *   0   0  5   0  0 |  0  0 10   0  0 | 0 0 10  0 0 | 0 5 0 0
... xo. ... ... ... ...&#x  |  2 1 0 |   1  2 0  0 |  *   *  * 105  * |  0   0  1   4  0 |  0  0  4   6  0 | 0 0  6  4 0 | 0 4 1 0
..x3..o ... ... ... ...     |  0 0 3 |   0  0 0  3 |  *   *  *   * 35 |  0   0  1   0  4 |  0  0  4   0  6 | 0 0  6  0 4 | 0 4 0 1
----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+--------
o..3x..3o.. ... ... ...       6 0 0 |  12  0 0  0 |  4   4  0   0  0 | 35   *  *   *  * |  3  0  1   0  0 | 3 0  3  0 0 | 1 3 0 0
... x..3o..3o.. ... ...       4 0 0 |   6  0 0  0 |  0   4  0   0  0 |  * 105  *   *  * |  1  2  0   1  0 | 2 1  1  2 0 | 1 2 1 0
ofx3xoo ... ... ... ...&#xt   3 3 3 |   3  6 3  3 |  1   0  3   3  1 |  *   * 35   *  *   0  0  4   0  0 | 0 0  6  0 0 | 0 4 0 0
... xo.3oo. ... ... ...&#x    3 1 0 |   3  3 0  0 |  0   1  0   3  0 |  *   *  * 140  * |  0  0  1   3  0 | 0 0  3  3 0 | 0 3 1 0
..x3..o3..o ... ... ...       0 0 4 |   0  0 0  6 |  0   0  0   0  4 |  *   *  *   * 35 |  0  0  1   0  3 | 0 0  3  0 3 | 0 3 0 1
----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+--------
o..3x..3o..3o.. ... ...      10 0 0 |  30  0 0  0 | 10  20  0   0  0 |  5   5  0   0  0 | 21  *  *   *  * | 2 0  1  0 0 | 1 2 0 0
... x..3o..3o..3o.. ...       5 0 0 |  10  0 0  0 |  0  10  0   0  0 |  0   5  0   0  0 |  * 42  *   *  * | 1 1  0  1 0 | 1 1 1 0
ofx3xoo3ooo ... ... ...&#xt   6 4 4 |  12 12 4  6 |  4   4  6  12  4 |  1   0  4   4  1 |  *  * 35   *  * | 0 0  3  0 0 | 0 3 0 0
... xo.3oo.3oo. ... ...&#x    4 1 0 |   6  4 0  0 |  0   4  0   6  0 |  0   1  0   4  0 |  *  *  * 105  * | 0 0  1  2 0 | 0 2 1 0
..x3..o3..o3..o ... ...       0 0 5 |   0  0 0 10 |  0   0  0   0 10 |  0   0  0   0  5 |  *  *  *   * 21 | 0 0  1  0 2 | 0 2 0 1
----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+--------
o..3x..3o..3o..3o.. ...      15 0 0 |  60  0 0  0 | 20  60  0   0  0 | 15  30  0   0  0 |  6  6  0   0  0 | 7 *  *  * * | 1 1 0 0
... x..3o..3o..3o..3o..       6 0 0 |  15  0 0  0 |  0  20  0   0  0 |  0  15  0   0  0 |  0  6  0   0  0 | * 7  *  * * | 1 0 1 0
ofx3xoo3ooo3ooo ... ...&#xt  10 5 5 |  30 20 5 10 | 10  20 10  30 10 |  5   5 10  20  5 |  1  0  5   5  1 | * * 21  * * | 0 2 0 0
... xo.3oo.3oo.3oo. ...&#x    5 1 0 |  10  5 0  0 |  0  10  0  10  0 |  0   5  0  10  0 |  0  1  0   5  0 | * *  * 42 * | 0 1 1 0
..x3..o3..o3..o3..o ...       0 0 6 |   0  0 0 15 |  0   0  0   0 20 |  0   0  0   0 15 |  0  0  0   0  6 | * *  *  * 7 | 0 1 0 1
----------------------------+--------+-------------+------------------+------------------+-----------------+-------------+--------
o..3x..3o..3o..3o..3o..      21 0 0 | 105  0 0  0 | 35 140  0   0  0 | 35 105  0   0  0 | 21 42  0   0  0 | 7 7  0  0 0 | 1 * * *
ofx3xoo3ooo3ooo3ooo ...&#xt  15 6 6 |  60 30 6 15 | 20  60 15  60 20 | 15  30 20  60 15 |  6  6 15  30  6 | 1 0  6  6 1 | * 7 * *
... xo.3oo.3oo.3oo.3oo.&#x    6 1 0 |  15  6 0  0 |  0  20  0  15  0 |  0  15  0  20  0 |  0  6  0  15  0 | 0 1  0  6 0 | * * 7 *
..x3..o3..o3..o3..o3..o       0 0 7 |   0  0 0 21 |  0   0  0   0 35 |  0   0  0   0 35 |  0  0  0   0 21 | 0 0  0  0 7 | * * * 1

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