Acronym penrapdit
Name (pen,rap)-duotegum,
tegum product of pentachoron and rectified pentachoron

Due to the matching circumradii of the tegum product factors the lacing edges of this polyzetton are of unit size too. Accordingly it qualifies as an 8D CRF.


Incidence matrix according to Dynkin symbol

xo3oo3oo3oo oo3ox3oo3oo&#zx   → height = 0
(tegum product of pen and rap)

o.3o.3o.3o. o.3o.3o.3o.     | 5  * |  4 10  0 |  6  40  30  0  0 | 4  60 120 10  20 0 0 | 40 180  40  80  5  5 | 120  60 120 20 20 | 40  80 30 30 | 20 20
.o3.o3.o3.o .o3.o3.o3.o     | * 10 |  0  5  6 |  0  10  30  3  6 | 0  10  60 15  30 3 2 |  5  60  30  60 15 10 |  30  30  60 30 20 | 15  30 30 20 | 15 10
----------------------------+------+----------+------------------+----------------------+----------------------+-------------------+--------------+------
x. .. .. .. .. .. .. ..     | 2  0 | 10  *  * |  3  10   0  0  0 | 3  30  30  0   0 0 0 | 30  90  10  20  0  0 |  90  30  60  5  5 | 30  60 15 15 | 15 15
oo3oo3oo3oo oo3oo3oo3oo&#x  | 1  1 |  * 50  * |  0   4   6  0  0 | 0   6  24  3   6 0 0 |  4  36  12  24  3  2 |  24  18  36 12  8 | 12  24 18 12 | 12  8
.. .. .. .. .. .x .. ..     | 0  2 |  *  * 30 |  0   0   5  1  2 | 0   0  10  5  10 2 1 |  0  10  10  20 10  5 |   5  10  20 20 10 |  5  10 20 10 | 10  5
----------------------------+------+----------+------------------+----------------------+----------------------+-------------------+--------------+------
x.3o. .. .. .. .. .. ..     | 3  0 |  3  0  0 | 10   *   *  *  * | 2  10   0  0   0 0 0 | 20  30   0   0  0  0 |  60  10  20  0  0 | 20  40  5  5 | 10 10
xo .. .. .. .. .. .. ..&#x  | 2  1 |  1  2  0 |  * 100   *  *  * | 0   3   6  0   0 0 0 |  3  18   3   6  0  0 |  18   9  18  3  2 |  9  18  9  6 |  9  6
.. .. .. .. .. ox .. ..&#x  | 1  2 |  0  2  1 |  *   * 150  *  * | 0   0   4  1   2 0 0 |  0   6   4   8  2  1 |   4   6  12  8  4 |  4   8 12  6 |  8  4
.. .. .. .. .o3.x .. ..     | 0  3 |  0  0  3 |  *   *   * 10  * | 0   0   0  5   0 4 0 |  0   0  10   0 10  0 |   0  10   0 20  0 |  5   0 20  0 | 10  0
.. .. .. .. .. .x3.o ..     | 0  3 |  0  0  3 |  *   *   *  * 20 | 0   0   0  0   5 1 1 |  0   0   0  10  5  5 |   0   0  10 10 10 |  0   5 10 10 |  5  5
----------------------------+------+----------+------------------+----------------------+----------------------+-------------------+--------------+------
x.3o.3o. .. .. .. .. ..      4  0 |  6  0  0 |  4   0   0  0  0 | 5   *   *  *   * * *  10   0   0   0  0  0 |  30   0   0  0  0 | 10  20  0  0 |  5  5
xo3oo .. .. .. .. .. ..&#x   3  1 |  3  3  0 |  1   3   0  0  0 | * 100   *  *   * * * |  2   6   0   0  0  0 |  12   3   6  0  0 |  6  12  3  2 |  6  4
xo .. .. .. .. ox .. ..&#x   2  2 |  1  4  1 |  0   2   2  0  0 | *   * 300  *   * * * |  0   3   1   2  0  0 |   3   3   6  2  1 |  3   6  6  3 |  6  3
.. .. .. .. oo3ox .. ..&#x   1  3 |  0  3  3 |  0   0   3  1  0 | *   *   * 50   * * * |  0   0   4   0  2  0 |   0   6   0  8  0 |  4   0 12  0 |  8  0
.. .. .. .. .. ox3oo ..&#x   1  3 |  0  3  3 |  0   0   3  0  1 | *   *   *  * 100 * * |  0   0   0   4  1  1 |   0   0   6  4  4 |  0   4  6  6 |  4  4
.. .. .. .. .o3.x3.o ..      0  6 |  0  0 12 |  0   0   0  4  4 | *   *   *  *   * 5 *   0   0   0   0  5  0 |   0   0   0 10  0 |  0   0 10  0 |  5  0
.. .. .. .. .. .x3.o3.o      0  4 |  0  0  6 |  0   0   0  0  4 | *   *   *  *   * * 5   0   0   0   0  0  5 |   0   0   0  0 10 |  0   0  0 10 |  0  5
----------------------------+------+----------+------------------+----------------------+----------------------+-------------------+--------------+------
xo3oo3oo .. .. .. .. ..&#x   4  1 |  6  4  0 |  4   6   0  0  0 | 1   4   0  0   0 0 0 | 50   *   *   *  *  *    6   0   0  0  0 |  3   6  0  0 |  3  2
xo3oo .. .. .. ox .. ..&#x   3  2 |  3  6  1 |  1   6   3  0  0 | 0   2   3  0   0 0 0 |  * 300   *   *  *  * |   2   1   2  0  0 |  2   4  2  1 |  4  2
xo .. .. .. oo3ox .. ..&#x   2  3 |  1  6  3 |  0   3   6  1  0 | 0   0   3  2   0 0 0 |  *   * 100   *  *  * |   0   3   0  2  0 |  3   0  6  0 |  6  0
xo .. .. .. .. ox3oo ..&#x   2  3 |  1  6  3 |  0   3   6  0  1 | 0   0   3  0   2 0 0 |  *   *   * 200  *  * |   0   0   3  1  1 |  0   3  3  3 |  3  3
.. .. .. .. oo3ox3oo ..&#x   1  6 |  0  6 12 |  0   0  12  4  4 | 0   0   0  4   4 1 0 |  *   *   *   * 25  *    0   0   0  4  0 |  0   0  6  0 |  4  0
.. .. .. .. .. ox3oo3oo&#x   1  4 |  0  4  6 |  0   0   6  0  4 | 0   0   0  0   4 0 1 |  *   *   *   *  * 25    0   0   0  0  4 |  0   0  0  6 |  0  4
----------------------------+------+----------+------------------+----------------------+----------------------+-------------------+--------------+------
xo3oo3oo .. .. ox .. ..&#x   4  2 |  6  8  1 |  4  12   4  0  0 | 1   8   6  0   0 0 0 |  2   4   0   0  0  0 | 150   *   *  *  * |  1   2  0  0 |  2  1
xo3oo .. .. oo3ox .. ..&#x   3  3 |  3  9  3 |  1   9   9  1  0 | 0   3   9  3   0 0 0 |  0   3   3   0  0  0 |   * 100   *  *  * |  2   0  2  0 |  4  0
xo3oo .. .. .. ox3oo ..&#x   3  3 |  3  9  3 |  1   9   9  0  1 | 0   3   9  0   3 0 0 |  0   3   0   3  0  0 |   *   * 200  *  * |  0   2  1  1 |  2  2
xo .. .. .. oo3ox3oo ..&#x   2  6 |  1 12 12 |  0   6  24  4  4 | 0   0  12  8   8 1 0 |  0   0   4   4  2  0 |   *   *   * 50  * |  0   0  3  0 |  3  0
xo .. .. .. .. ox3oo3oo&#x   2  4 |  1  8  6 |  0   4  12  0  4 | 0   0   6  0   8 0 1 |  0   0   0   4  0  2 |   *   *   *  * 50 |  0   0  0  3 |  0  3
----------------------------+------+----------+------------------+----------------------+----------------------+-------------------+--------------+------
xo3oo3oo .. oo3ox .. ..&#x   4  3 |  6 12  3 |  4  18  12  1  0 | 1  12  18  4   0 0 0 |  3  12   6   0  0  0 |   3   4   0  0  0 | 50   *  *  * |  2  0
xo3oo3oo .. .. ox3oo ..&#x   4  3 |  6 12  3 |  4  18  12  0  1 | 1  12  18  0   4 0 0 |  3  12   0   6  0  0 |   3   0   4  0  0 |  * 100  *  * |  1  1
xo3oo .. .. oo3ox3oo ..&#x   3  6 |  3 18 12 |  1  18  36  4  4 | 0   6  36 12  12 1 0 |  0  12  12  12  3  0 |   0   4   4  3  0 |  *   * 50  * |  2  0
xo3oo .. .. .. ox3oo3oo&#x   3  4 |  3 12  6 |  1  12  18  0  4 | 0   4  18  0  12 0 1 |  0   6   0  12  0  3 |   0   0   4  0  3 |  *   *  * 50 |  0  2
----------------------------+------+----------+------------------+----------------------+----------------------+-------------------+--------------+------
xo3oo3oo .. oo3ox3oo ..&#x   4  6 |  6 24 12 |  4  36  48  4  4 | 1  24  72 16  16 1 0 |  6  48  24  24  4  0 |  12  16  16  6  0 |  4   4  4  0 | 25  *
xo3oo3oo .. .. ox3oo3oo&#x   4  4 |  6 16  6 |  4  24  24  0  4 | 1  16  36  0  16 0 1 |  4  24   0  24  0  4 |   6   0  16  0  6 |  0   4  0  4 |  * 25

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