Acronym tiggia gaquatid
Name truncated great icosahedron atop great quasitruncated icosidodecahedron
Circumradius sqrt[(45 sqrt(5)-73)/22] = 1.120533
Face vector 180, 390, 274, 64
Confer
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xx3xx5/3ox&#x   → height = sqrt[(3 sqrt(5)-1)/8] = 0.844704
(tiggy || gaquatid)

o.3o.5/3o.    | 60   * |  1  2   2  0  0  0 |  2  1  2  2  1  0  0  0 | 1  2  1  1 0
.o3.o5/3.o    |  * 120 |  0  0   1  1  1  1 |  0  0  1  1  1  1  1  1 | 0  1  1  1 1
--------------+--------+--------------------+-------------------------+-------------
x. ..   ..    |  2   0 | 30  *   *  *  *  * |  2  0  2  0  0  0  0  0 | 1  2  1  0 0
.. x.   ..    |  2   0 |  * 60   *  *  *  * |  1  1  0  1  0  0  0  0 | 1  1  0  1 0
oo3oo5/3oo&#x |  1   1 |  *  * 120  *  *  * |  0  0  1  1  1  0  0  0 | 0  1  1  1 0
.x ..   ..    |  0   2 |  *  *   * 60  *  * |  0  0  1  0  0  1  1  0 | 0  1  1  0 1
.. .x   ..    |  0   2 |  *  *   *  * 60  * |  0  0  0  1  0  1  0  1 | 0  1  0  1 1
.. ..   .x    |  0   2 |  *  *   *  *  * 60 |  0  0  0  0  1  0  1  1 | 0  0  1  1 1
--------------+--------+--------------------+-------------------------+-------------
x.3x.   ..    |  6   0 |  3  3   0  0  0  0 | 20  *  *  *  *  *  *  * | 1  1  0  0 0
.. x.5/3o.    |  5   0 |  0  5   0  0  0  0 |  * 12  *  *  *  *  *  * | 1  0  0  1 0
xx ..   ..&#x |  2   2 |  1  0   2  1  0  0 |  *  * 60  *  *  *  *  * | 0  1  1  0 0
.. xx   ..&#x |  2   2 |  0  1   2  0  1  0 |  *  *  * 60  *  *  *  * | 0  1  0  1 0
.. ..   ox&#x |  1   2 |  0  0   2  0  0  1 |  *  *  *  * 60  *  *  * | 0  0  1  1 0
.x3.x   ..    |  0   6 |  0  0   0  3  3  0 |  *  *  *  *  * 20  *  * | 0  1  0  0 1
.x ..   .x    |  0   4 |  0  0   0  2  0  2 |  *  *  *  *  *  * 30  * | 0  0  1  0 1
.. .x5/3.x    |  0  10 |  0  0   0  0  5  5 |  *  *  *  *  *  *  * 12 | 0  0  0  1 1
--------------+--------+--------------------+-------------------------+-------------
x.3x.5/3o.     60   0 | 30 60   0  0  0  0 | 20 12  0  0  0  0  0  0 | 1  *  *  * *
xx3xx   ..&#x   6   6 |  3  3   6  3  3  0 |  1  0  3  3  0  1  0  0 | * 20  *  * *
xx ..   ox&#x   2   4 |  1  0   4  2  0  2 |  0  0  2  0  2  0  1  0 | *  * 30  * *
.. xx5/3ox&#x   5  10 |  0  5  10  0  5  5 |  0  1  0  5  5  0  0  1 | *  *  * 12 *
.x3.x5/3.x      0 120 |  0  0   0 60 60 60 |  0  0  0  0  0 20 30 12 | *  *  *  * 1

© 2004-2024
top of page