Acronym cubpen
Name cube-pentachoron duoprism
|,>,O device line pyramid pyramid prism prism prism prism = |>>>|||
Circumradius sqrt(23/20) = 1.072381
Volume sqrt(5)/96 = 0.023292

Incidence matrix according to Dynkin symbol

x3o3o3o o3o4x

. . . . . . . | 40 |  4  3 |  6  12  3 |  4  18 12 1 | 1 12 18  4 |  3 12  6 | 3 4
--------------+----+-------+-----------+-------------+------------+----------+----
x . . . . . . |  2 | 80  * |  3   3  0 |  3   9  3 0 | 1  9  9  1 |  3  9  3 | 3 3
. . . . . . x |  2 |  * 60 |  0   4  2 |  0   6  8 1 | 0  4 12  4 |  1  8  6 | 2 4
--------------+----+-------+-----------+-------------+------------+----------+----
x3o . . . . . |  3 |  3  0 | 80   *  * |  2   3  0 0 | 1  6  3  0 |  3  6  1 | 3 2
x . . . . . x |  4 |  2  2 |  * 120  * |  0   3  2 0 | 0  3  6  1 |  1  6  3 | 2 3
. . . . . o4x |  4 |  0  4 |  *   * 30 |  0   0  4 1 | 0  0  6  4 |  0  4  6 | 1 4
--------------+----+-------+-----------+-------------+------------+----------+----
x3o3o . . . .   4 |  6  0 |  4   0  0 | 40   *  * * | 1  3  0  0 |  3  3  0 | 3 1
x3o . . . . x   6 |  6  3 |  2   3  0 |  * 120  * * | 0  2  2  0 |  1  4  1 | 2 2
x . . . . o4x   8 |  4  8 |  0   4  2 |  *   * 60 * | 0  0  3  1 |  0  3  3 | 1 3
. . . . o3o4x   8 |  0 12 |  0   0  6 |  *   *  * 5  0  0  0  4 |  0  0  6 | 0 4
--------------+----+-------+-----------+-------------+------------+----------+----
x3o3o3o . . .   5 | 10  0 | 10   0  0 |  5   0  0 0 | 8  *  *  * |  3  0  0 | 3 0
x3o3o . . . x   8 | 12  4 |  8   6  0 |  2   4  0 0 | * 60  *  * |  1  2  0 | 2 1
x3o . . . o4x  12 | 12 12 |  4  12  3 |  0   4  3 0 | *  * 60  * |  0  2  1 | 1 2
x . . . o3o4x  16 |  8 24 |  0  12 12 |  0   0  6 2 | *  *  * 10 |  0  0  3 | 0 3
--------------+----+-------+-----------+-------------+------------+----------+----
x3o3o3o . . x  10 | 20  5 | 20  10  0 | 10  10  0 0 | 2  5  0  0 | 12  *  * | 2 0
x3o3o . . o4x  16 | 24 16 | 16  24  4 |  4  16  6 0 | 0  4  4  0 |  * 30  * | 1 1
x3o . . o3o4x  24 | 24 36 |  8  36 18 |  0  12 18 3 | 0  0  6  3 |  *  * 10 | 0 2
--------------+----+-------+-----------+-------------+------------+----------+----
x3o3o3o . o4x  20 | 40 20 | 40  40  5 | 20  40 10 0 | 4 20 10  0 |  4  5  0 | 6 *
x3o3o . o3o4x  32 | 48 48 | 32  72 24 |  8  48 36 4 | 0 12 24  6 |  0  6  4 | * 5

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