Acronym giku
Name gike-based ursachoron
Circumradius sqrt[(11+3 sqrt(5))/19] = 0.965407
Face vector 54, 162, 144, 34
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

ofx3xoo5/2ooo&#xt   → height(1,2) = sqrt[(7 sqrt(5)-13)/8] = 0.575812
                      height(2,3) = sqrt[2 sqrt(5)-1]/2 = 0.931683
(gid || f-gike || gike)

o..3o..5/2o..     | 30  *  * |  4  2  0  0 |  2  2  1  4  0 | 1  2  2 0
.o.3.o.5/2.o.     |  * 12  * |  0  5  1  0 |  0  0  5  5  0 | 0  5  1 0
..o3..o5/2..o     |  *  * 12 |  0  0  1  5 |  0  0  5  0  5 | 0  5  0 1
------------------+----------+-------------+----------------+----------
... x..   ...     |  2  0  0 | 60  *  *  * |  1  1  0  1  0 | 1  1  1 0
oo.3oo.5/2oo.&#x  |  1  1  0 |  * 60  *  * |  0  0  1  2  0 | 0  2  1 0
.oo3.oo5/2.oo&#x  |  0  1  1 |  *  * 12  * |  0  0  5  0  0 | 0  5  0 0
..x ...   ...     |  0  0  2 |  *  *  * 30 |  0  0  1  0  2 | 0  2  0 1
------------------+----------+-------------+----------------+----------
o..3x..   ...     |  3  0  0 |  3  0  0  0 | 20  *  *  *  * | 1  1  0 0
... x..5/2o..     |  5  0  0 |  5  0  0  0 |  * 12  *  *  * | 1  0  1 0
ofx ...   ...&#xt |  1  2  2 |  0  2  2  1 |  *  * 30  *  * | 0  2  0 0
... xo.   ...&#x  |  2  1  0 |  1  2  0  0 |  *  *  * 60  * | 0  1  1 0
..x3..o   ...     |  0  0  3 |  0  0  0  3 |  *  *  *  * 20 | 0  1  0 1
------------------+----------+-------------+----------------+----------
o..3x..5/2o..      30  0  0 | 60  0  0  0 | 20 12  0  0  0 | 1  *  * *
ofx3xoo   ...&#xt   3  3  3 |  3  6  3  3 |  1  0  3  3  1 | * 20  * *
... xo.5/2oo.&#x    5  1  0 |  5  5  0  0 |  0  1  0  5  0 | *  * 12 *
..x3..o5/2..o       0  0 12 |  0  0  0 30 |  0  0  0  0 20 | *  *  * 1

ofx3xoo5/3ooo&#xt   → height(1,2) = sqrt[(7 sqrt(5)-13)/8] = 0.575812
                      height(2,3) = sqrt[2 sqrt(5)-1]/2 = 0.931683
(gid || f-gike || gike)

o..3o..5/3o..     | 30  *  * |  4  2  0  0 |  2  2  1  4  0 | 1  2  2 0
.o.3.o.5/3.o.     |  * 12  * |  0  5  1  0 |  0  0  5  5  0 | 0  5  1 0
..o3..o5/3..o     |  *  * 12 |  0  0  1  5 |  0  0  5  0  5 | 0  5  0 1
------------------+----------+-------------+----------------+----------
... x..   ...     |  2  0  0 | 60  *  *  * |  1  1  0  1  0 | 1  1  1 0
oo.3oo.5/3oo.&#x  |  1  1  0 |  * 60  *  * |  0  0  1  2  0 | 0  2  1 0
.oo3.oo5/3.oo&#x  |  0  1  1 |  *  * 12  * |  0  0  5  0  0 | 0  5  0 0
..x ...   ...     |  0  0  2 |  *  *  * 30 |  0  0  1  0  2 | 0  2  0 1
------------------+----------+-------------+----------------+----------
o..3x..   ...     |  3  0  0 |  3  0  0  0 | 20  *  *  *  * | 1  1  0 0
... x..5/3o..     |  5  0  0 |  5  0  0  0 |  * 12  *  *  * | 1  0  1 0
ofx ...   ...&#xt |  1  2  2 |  0  2  2  1 |  *  * 30  *  * | 0  2  0 0
... xo.   ...&#x  |  2  1  0 |  1  2  0  0 |  *  *  * 60  * | 0  1  1 0
..x3..o   ...     |  0  0  3 |  0  0  0  3 |  *  *  *  * 20 | 0  1  0 1
------------------+----------+-------------+----------------+----------
o..3x..5/3o..      30  0  0 | 60  0  0  0 | 20 12  0  0  0 | 1  *  * *
ofx3xoo   ...&#xt   3  3  3 |  3  6  3  3 |  1  0  3  3  1 | * 20  * *
... xo.5/3oo.&#x    5  1  0 |  5  5  0  0 |  0  1  0  5  0 | *  * 12 *
..x3..o5/3..o       0  0 12 |  0  0  0 30 |  0  0  0  0 20 | *  *  * 1

© 2004-2024
top of page