Acronym exrhote
Name expanded rhombic triacontahedron
 
 ©
Vertex figure [3,4,R,4], [4,r,4,5]

The rhombs {(r,R)2} have vertex angles r = arccos(1/sqrt(5)) = 63.434949° resp. R = arccos(-1/sqrt(5)) = 116.565051°. Esp. rr : RR = (1+sqrt(5))/2.


Incidence matrix

60  * |  2   2  0 |  1  2  1  0  [3,4,R,4]
 * 60 |  0   2  2 |  0  2  1  1  [4,r,4,5]
------+-----------+------------
 2  0 | 60   *  * |  1  1  0  0
 1  1 |  * 120  * |  0  1  1  0
 0  2 |  *   * 60 |  0  1  0  1
------+-----------+------------
 3  0 |  3   0  0 | 20  *  *  *
 2  2 |  1   2  1 |  * 60  *  *
 2  2 |  0   4  0 |  *  * 30  *  {(r,R)2}
 0  5 |  0   0  5 |  *  *  * 12

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