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The rhombs {(r,R)²} have corner angles r = arccos(7/18) = 67.114620° and R = arccos(-7/18) = 112.885380°.

Incidence matrix

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