Acronym tiatid, ti || tid, K-4.151
Name truncated icosahedron atop truncated dodecahedron
Segmentochoron display
Circumradius sqrt[8+3 sqrt(5)] = 3.835128
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {3} between tet and tricu:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {6} between ti and tricu:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between pecu and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {4} between pecu and tricu:   135°
  • at {5} between pecu and ti:   108°
  • at {10} between pecu and tid:   72°
  • at {3} between tid and tricu:   arccos[sqrt(5/8)] = 37.761244°
Confer
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xo3xx5ox&#x   → height = 1/2
(ti || tid)


o.3o.5o.    | 60  * |  1  2   2  0  0 |  2  1  2  2  1  0  0 | 1  2  1  1 0
.o3.o5.o    |  * 60 |  0  0   2  2  1 |  0  0  1  2  2  1  2 | 0  1  1  2 1
------------+-------+-----------------+----------------------+-------------
x. .. ..    |  2  0 | 30  *   *  *  * |  2  0  2  0  0  0  0 | 1  2  1  0 0
.. x. ..    |  2  0 |  * 60   *  *  * |  1  1  0  1  0  0  0 | 1  1  0  1 0
oo3oo5oo&#x |  1  1 |  *  * 120  *  * |  0  0  1  1  1  0  0 | 0  1  1  1 0
.. .x ..    |  0  2 |  *  *   * 60  * |  0  0  0  1  0  1  1 | 0  1  0  1 1
.. .. .x    |  0  2 |  *  *   *  * 30 |  0  0  0  0  2  0  2 | 0  0  1  2 1
------------+-------+-----------------+----------------------+-------------
x.3x. ..    |  6  0 |  3  3   0  0  0 | 20  *  *  *  *  *  * | 1  1  0  0 0
.. x.5o.    |  5  0 |  0  5   0  0  0 |  * 12  *  *  *  *  * | 1  0  0  1 0
xo .. ..&#x |  2  1 |  1  0   2  0  0 |  *  * 60  *  *  *  * | 0  1  1  0 0
.. xx ..&#x |  2  2 |  0  1   2  1  0 |  *  *  * 60  *  *  * | 0  1  0  1 0
.. .. ox&#x |  1  2 |  0  0   2  0  1 |  *  *  *  * 60  *  * | 0  0  1  1 0
.o3.x ..    |  0  3 |  0  0   0  3  0 |  *  *  *  *  * 20  * | 0  1  0  0 1
.. .x5.x    |  0 10 |  0  0   0  5  5 |  *  *  *  *  *  * 12 | 0  0  0  1 1
------------+-------+-----------------+----------------------+-------------
x.3x.5o.     60  0 | 30 60   0  0  0 | 20 12  0  0  0  0  0 | 1  *  *  * *
xo3xx ..&#x   6  3 |  3  3   6  3  0 |  1  0  3  3  0  1  0 | * 20  *  * *
xo .. ox&#x   2  2 |  1  0   4  0  1 |  0  0  2  0  2  0  0 | *  * 30  * *
.. xx5ox&#x   5 10 |  0  5  10  5  5 |  0  1  0  5  5  0  1 | *  *  * 12 *
.o3.x5.x      0 60 |  0  0   0 60 30 |  0  0  0  0  0 20 12 | *  *  *  * 1

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