Acronym ...
Name expansion of 41th stellation of truncated icosahedron
 
Vertex figure [4,5a,6], [5a3], [5a2,62], [5b,62]
Dihedral angles
  • between {5a} and {5a}:   360°-arccos(-1/sqrt(5)) = 243.434949°
  • between {6} and {6}:   360°-arccos(-sqrt(5)/3) = 221.810315°
  • between {5b} and {6}:   360°-arccos(-sqrt[(5+2 sqrt(5))/15]) = 217.377368°
  • between {4} and {5a}:   arccos(-sqrt[(5-sqrt(5))/10]) = 121.717474°
  • between {4} and {6}:   arccos(-sqrt[(3-sqrt(5))/6]) = 110.905157°
  • between {5a} and {6}:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317°

Incidence matrix according to Dynkin symbol

xfoa3fooo5xuFx&#zx   → height = 0
                       a = sqrt(5) = 2.236068
(tegum sum of (x,f,x)-grid, (f,u)-srid, F-doe, and (a,x)-srid)

o...3o...5o...     | 120  *  *  * |  1  1   1  0  0  0 |  1  1  1  0  [4,5a,6]
.o..3.o..5.o..     |   * 60  *  * |  0  0   2  1  1  0 |  0  2  2  0  [5a2,62]
..o.3..o.5..o.     |   *  * 20  * |  0  0   0  3  0  0 |  0  3  0  0  [5a3]
...o3...o5...o     |   *  *  * 60 |  0  0   0  0  1  2 |  0  0  2  1  [5b,62]
-------------------+--------------+--------------------+------------
x... .... ....     |   2  0  0  0 | 60  *   *  *  *  * |  1  1  0  0
.... .... x...     |   2  0  0  0 |  * 60   *  *  *  * |  1  0  1  0
oo..3oo..5oo..&#x  |   1  1  0  0 |  *  * 120  *  *  * |  0  1  1  0
.oo.3.oo.5.oo.&#x  |   0  1  1  0 |  *  *   * 60  *  * |  0  2  0  0
.o.o3.o.o5.o.o&#x  |   0  1  0  1 |  *  *   *  * 60  * |  0  0  2  0
.... .... ...x     |   0  0  0  2 |  *  *   *  *  * 60 |  0  0  1  1
-------------------+--------------+--------------------+------------
x... .... x...     |   4  0  0  0 |  2  2   0  0  0  0 | 30  *  *  *  {4}
xfo. .... ....&#xt |   2  2  1  0 |  1  0   2  2  0  0 |  * 60  *  *  {5a}
.... .... xu.x&#xt |   2  2  0  2 |  0  1   2  0  2  1 |  *  * 60  *  {6}
.... ...o5...x     |   0  0  0  5 |  0  0   0  0  0  5 |  *  *  * 12  {5b}

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