Acronym exrad
Name expanded rhombic dodecahedron
 
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Vertex figure [3,4,R,4], [r,43]

The rhombs {(r,R)2} have vertex angles r = arccos(1/3) = 70.528779° resp. R = arccos(-1/3) = 109.471221°. Esp. rr : RR = sqrt(2).


Incidence matrix

24  * |  2  2  0 | 1  2  1 0  [3,4,R,4]
 * 24 |  0  2  2 | 0  2  1 1  [r,43]
------+----------+----------
 2  0 | 24  *  * | 1  1  0 0
 1  1 |  * 48  * | 0  1  1 0
 0  2 |  *  * 24 | 0  1  0 1
------+----------+----------
 3  0 |  3  0  0 | 8  *  * *
 2  2 |  1  2  1 | * 24  * *
 2  2 |  0  4  0 | *  * 12 *  {(r,R)2}
 0  4 |  0  0  4 | *  *  * 6

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