Acronym rapdafup
Name rectified-pentachoron duoantifastegium
Circumradius sqrt(5)/2 = 1.118034
Face vector 200, 2100, 6600, 10000, 8440, 4180, 1240, 220, 22
Confer
general polytopal classes:
scaliform   segmentoyotta   lace simplices  

Incidence matrix according to Dynkin symbol

oo3xo3ox3oo oo3xo3ox3oo&#x   → height = 1/sqrt(5) = 0.447214
(rapdip || inv. (or: bi-alt.) rapdip)

o.3o.3o.3o. o.3o.3o.3o.    & | 200 |   12   9 |   6  12   36   54 |   6   36   4   72   24   36   45   36 |  2  36   9  36  24  36  30   42   30  108 |  12  18  36  12  24  6  48  42  10  48   6  36 |  6 12  9  12  4  18  22  60  18 |  6  4  8 12 13 12 | 1 10
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
.. x. .. .. .. .. .. ..    & |   2 | 1200   * |   1   2    6    3 |   2    9   1   18    3    6    6    3 |  1  15   3  12   8  12   9    9    4   24 |   7   9  18   5  10  3  18  14   3  14   1  12 |  4  8  6   7  2  10  10  28   7 |  5  3  5  8  8  7 | 1  8
oo3oo3oo3oo oo3oo3oo3oo&#x   |   2 |    * 900 |   0   0    0    8 |   0    0   0    0    4    8    8    8 |  0   0   0   0   0   0   8    8    8   32 |   0   0   0   0   0  2  16  16   2  16   2  16 |  0  0  0   0  0   8   8  32   8 |  0  0  4  8  8  8 | 0  8
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x. .. .. .. .. .. ..    & |   3 |    3   0 | 400   *    *    * |   2    6   0    0    3    0    0    0 |  1  12   3   6   0   0   6    6    3    0 |   6   9  12   2   0  3  12   6   3   6   1   0 |  4  6  6   4  0   9   9  12   4 |  5  2  5  6  6  4 | 1  7
.. x.3o. .. .. .. .. ..    & |   3 |    3   0 |   * 800    *    * |   1    0   1    6    0    3    0    0 |  1   6   0   3   6   6   6    0    0    9 |   6   3   9   3   8  3   9   9   0   4   0   6 |  3  7  3   5  2   9   4  17   4 |  4  3  4  7  5  5 | 1  7
.. x. .. .. .. x. .. ..    & |   4 |    4   0 |   *   * 1800    * |   0    2   0    4    0    0    1    0 |  0   4   1   4   2   4   0    2    0    4 |   2   4   8   2   4  0   4   2   1   4   0   4 |  2  4  4   4  1   2   4  12   2 |  4  2  2  4  5  4 | 1  6
.. xo .. .. .. .. .. ..&#x & |   3 |    1   2 |   *   *    * 3600 |   0    0   0    0    1    2    2    2 |  0   0   0   0   0   0   3    3    3   12 |   0   0   0   0   0  1   8   8   1   8   1   8 |  0  0  0   0  0   5   5  20   5 |  0  0  3  6  6  6 | 0  7
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o. .. .. .. .. ..    &    6 |   12   0 |   4   4    0    0 | 200    *   *    *    *    *    *    * |  1   6   0   0   0   0   3    0    0    0 |   6   3   6   0   0  3   6   3   0   0   0   0 |  3  6  3   2  0   9   3   6   1 |  4  2  4  6  3  2 | 1  6
o.3x. .. .. .. x. .. ..    &    6 |    9   0 |   2   0    3    0 |   * 1200   *    *    *    *    *    * |  0   2   1   2   0   0   0    1    0    0 |   1   4   4   1   0  0   2   0   1   2   0   0 |  2  2  4   2  0   1   4   4   1 |  4  1  2  2  4  2 | 1  5
.. x.3o.3o. .. .. .. ..    &    4 |    6   0 |   0   4    0    0 |   *    * 200    *    *    *    *    * |  1   0   0   0   6   0   3    0    0    0 |   6   0   0   3   6  3   3   6   0   0   0   0 |  3  6  0   3  2   9   1   6   3 |  3  3  4  6  2  3 | 1  6
.. x.3o. .. .. x. .. ..    &    6 |    9   0 |   0   2    3    0 |   *    *   * 2400    *    *    *    * |  0   1   0   1   1   2   0    0    0    1 |   1   1   4   1   3  0   1   1   0   1   0   2 |  1  3  2   3  1   1   1   7   1 |  3  2  1  3  3  3 | 1  5
oo3xo .. .. .. .. .. ..&#x &    4 |    3   3 |   1   0    0    3 |   *    *   *    * 1200    *    *    * |  0   0   0   0   0   0   2    2    2    0 |   0   0   0   0   0  1   4   4   1   4   1   0 |  0  0  0   0  0   4   4   8   4 |  0  0  3  4  4  4 | 0  6
.. xo3ox .. .. .. .. ..&#x &    6 |    6   6 |   0   2    0    6 |   *    *   *    *    * 1200    *    * |  0   0   0   0   0   0   2    0    0    4 |   0   0   0   0   0  1   4   4   0   2   0   4 |  0  0  0   0  0   4   2  12   2 |  0  0  2  5  4  4 | 0  6
.. xo .. .. .. xo .. ..&#x &    5 |    4   4 |   0   0    1    4 |   *    *   *    *    *    * 1800    * |  0   0   0   0   0   0   0    2    0    4 |   0   0   0   0   0  0   4   2   1   4   0   4 |  0  0  0   0  0   2   4  12   2 |  0  0  2  4  5  4 | 0  6
.. xo .. .. .. .. ox ..&#x &    4 |    2   4 |   0   0    0    4 |   *    *   *    *    *    *    * 1800 |  0   0   0   0   0   0   0    0    2    4 |   0   0   0   0   0  0   2   4   0   4   1   4 |  0  0  0   0  0   2   2  12   4 |  0  0  2  4  4  5 | 0  6
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o.3o. .. .. .. ..    &   10 |   30   0 |  10  20    0    0 |   5    0   5    0    0    0    0    0 | 40   *   *   *   *   *   *    *    *    * |   6   0   0   0   0  3   0   0   0   0   0   0 |  3  6  0   0  0   9   0   0   0 |  3  2  4  6  0  0 | 1  5
o.3x.3o. .. .. x. .. ..    &   12 |   30   0 |   8   8   12    0 |   2    4   0    4    0    0    0    0 |  * 600   *   *   *   *   *    *    *    * |   1   1   2   0   0  0   1   0   0   0   0   0 |  1  2  2   1  0   1   1   2   0 |  3  1  1  2  2  1 | 1  4
o.3x. .. .. o.3x. .. ..    &    9 |   18   0 |   6   0    9    0 |   0    6   0    0    0    0    0    0 |  *   * 200   *   *   *   *    *    *    * |   0   4   0   0   0  0   0   0   1   0   0   0 |  2  0  4   0  0   0   4   0   0 |  4  0  2  0  4  0 | 1  4
o.3x. .. .. .. x.3o. ..    &    9 |   18   0 |   3   3    9    0 |   0    3   0    3    0    0    0    0 |  *   *   * 800   *   *   *    *    *    * |   0   1   2   1   0  0   0   0   0   1   0   0 |  1  1  2   2  0   0   1   2   1 |  3  1  1  1  2  2 | 1  4
.. x.3o.3o. .. x. .. ..    &    8 |   16   0 |   0   8    6    0 |   0    0   2    4    0    0    0    0 |  *   *   *   * 600   *   *    *    *    * |   1   0   0   1   2  0   0   1   0   0   0   0 |  1  2  0   2  1   1   0   2   1 |  2  2  1  2  1  2 | 1  4
.. x.3o. .. .. x.3o. ..    &    9 |   18   0 |   0   6    9    0 |   0    0   0    6    0    0    0    0 |  *   *   *   *   * 800   *    *    *    * |   0   0   2   0   2  0   0   0   0   0   0   1 |  0  2  1   2  1   0   0   4   0 |  2  2  0  2  2  2 | 1  4
oo3xo3ox .. .. .. .. ..&#x &   10 |   18  12 |   4   8    0   18 |   1    0   1    0    4    4    0    0 |  *   *   *   *   *   * 600    *    *    * |   0   0   0   0   0  1   2   2   0   0   0   0 |  0  0  0   0  0   4   1   4   1 |  0  0  2  4  2  2 | 0  5
oo3xo .. .. .. xo .. ..&#x &    7 |    9   6 |   2   0    3    9 |   0    1   0    0    2    0    3    0 |  *   *   *   *   *   *   * 1200    *    * |   0   0   0   0   0  0   2   0   1   2   0   0 |  0  0  0   0  0   1   4   4   1 |  0  0  2  2  4  2 | 0  5
oo3xo .. .. .. .. ox ..&#x &    5 |    4   6 |   1   0    0    9 |   0    0   0    0    2    0    0    3 |  *   *   *   *   *   *   *    * 1200    * |   0   0   0   0   0  0   0   2   0   2   1   0 |  0  0  0   0  0   1   1   4   4 |  0  0  2  2  2  4 | 0  5
.. xo3ox .. .. xo .. ..&#x &    9 |   12  12 |   0   3    3   18 |   0    0   0    1    0    2    3    3 |  *   *   *   *   *   *   *    *    * 2400 |   0   0   0   0   0  0   1   1   0   1   0   2 |  0  0  0   0  0   1   1   7   1 |  0  0  1  3  3  3 | 0  5
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o.3o. .. x. .. ..    &   20 |   70   0 |  20  40   30    0 |  10   10  10   20    0    0    0    0 |  2   5   0   0   5   0   0    0    0    0 | 120   *   *   *   *  *   *   *   *   *   *   * |  1  2  0   0  0   1   0   0   0 |  2  1  1  2  0  0 | 1  3
o.3x.3o. .. o.3x. .. ..    &   18 |   54   0 |  18  12   36    0 |   3   24   0   12    0    0    0    0 |  0   3   4   4   0   0   0    0    0    0 |   * 200   *   *   *  *   *   *   *   *   *   * |  1  0  2   0  0   0   1   0   0 |  3  0  1  0  2  0 | 1  3
o.3x.3o. .. .. x.3o. ..    &   18 |   54   0 |  12  18   36    0 |   3   12   0   24    0    0    0    0 |  0   3   0   4   0   4   0    0    0    0 |   *   * 400   *   *  *   *   *   *   *   *   * |  0  1  1   1  0   0   0   1   0 |  2  1  0  1  1  1 | 1  3
o.3x. .. .. .. x.3o.3o.    &   12 |   30   0 |   4  12   18    0 |   0    6   3   12    0    0    0    0 |  0   0   0   4   3   0   0    0    0    0 |   *   *   * 200   *  *   *   *   *   *   *   * |  1  0  0   2  0   0   0   0   1 |  2  1  1  0  0  2 | 1  3
.. x.3o.3o. .. x.3o. ..    &   12 |   30   0 |   0  16   18    0 |   0    0   3   18    0    0    0    0 |  0   0   0   0   3   4   0    0    0    0 |   *   *   *   * 400  *   *   *   *   *   *   * |  0  1  0   1  1   0   0   1   0 |  1  2  0  1  1  1 | 1  3
oo3xo3ox3oo .. .. .. ..&#x &   20 |   60  30 |  20  40    0   60 |  10    0  10    0   20   20    0    0 |  2   0   0   0   0   0  10    0    0    0 |   *   *   *   *   * 60   *   *   *   *   *   * |  0  0  0   0  0   4   0   0   0 |  0  0  2  4  0  0 | 0  4
oo3xo3ox .. .. xo .. ..&#x &   16 |   36  24 |   8  12   12   48 |   2    4   1    4    8    8   12    6 |  0   1   0   0   0   0   2    4    0    4 |   *   *   *   *   *  * 600   *   *   *   *   * |  0  0  0   0  0   1   1   2   0 |  0  0  1  2  2  1 | 0  4
oo3xo3ox .. .. .. ox ..&#x &   14 |   28  24 |   4  12    6   48 |   1    0   2    4    8    8    6   12 |  0   0   0   0   1   0   2    0    4    4 |   *   *   *   *   *  *   * 600   *   *   *   * |  0  0  0   0  0   1   0   2   1 |  0  0  1  2  1  2 | 0  4
oo3xo .. .. oo3xo .. ..&#x &   10 |   18   9 |   6   0    9   18 |   0    6   0    0    6    0    9    0 |  0   0   1   0   0   0   0    6    0    0 |   *   *   *   *   *  *   *   * 200   *   *   * |  0  0  0   0  0   0   4   0   0 |  0  0  2  0  4  0 | 0  4
oo3xo .. .. .. xo3ox ..&#x &   12 |   21  18 |   3   4    9   36 |   0    3   0    3    6    3    9    9 |  0   0   0   1   0   0   0    3    3    3 |   *   *   *   *   *  *   *   *   * 800   *   * |  0  0  0   0  0   0   1   2   1 |  0  0  1  1  2  2 | 0  4
oo3xo .. .. .. .. ox3oo&#x &    6 |    6   9 |   2   0    0   18 |   0    0   0    0    6    0    0    9 |  0   0   0   0   0   0   0    0    6    0 |   *   *   *   *   *  *   *   *   *   * 200   * |  0  0  0   0  0   0   0   0   4 |  0  0  2  0  0  4 | 0  4
.. xo3ox .. .. xo3ox ..&#x     18 |   36  36 |   0  12   18   72 |   0    0   0   12    0   12   18   18 |  0   0   0   0   0   2   0    0    0   12 |   *   *   *   *   *  *   *   *   *   *   * 400 |  0  0  0   0  0   0   0   4   0 |  0  0  0  2  2  2 | 0  4
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o.3o. o.3x. .. ..    &   30 |  120   0 |  40  60   90    0 |  15   60  15   60    0    0    0    0 |  3  15  10  20  15   0   0    0    0    0 |   3   5   0   5   0  0   0   0   0   0   0   0 | 40  *  *   *  *   *   *   *   * |  2  0  1  0  0  0 | 1  2
o.3x.3o.3o. .. x.3o. ..    &   30 |  120   0 |  30  70   90    0 |  15   30  15   90    0    0    0    0 |  3  15   0  10  15  20   0    0    0    0 |   3   0   5   0   5  0   0   0   0   0   0   0 |  * 80  *   *  *   *   *   *   * |  1  1  0  1  0  0 | 1  2
o.3x.3o. .. o.3x.3o. ..    &   36 |  144   0 |  48  48  144    0 |  12   96   0   96    0    0    0    0 |  0  24  16  32   0  16   0    0    0    0 |   0   8   8   0   0  0   0   0   0   0   0   0 |  *  * 50   *  *   *   *   *   * |  2  0  0  0  1  0 | 1  2
o.3x.3o. .. .. x.3o.3o.    &   24 |   84   0 |  16  40   72    0 |   4   24   6   72    0    0    0    0 |  0   6   0  16  12  16   0    0    0    0 |   0   0   4   4   4  0   0   0   0   0   0   0 |  *  *  * 100  *   *   *   *   * |  1  1  0  0  0  1 | 1  2
.. x.3o.3o. .. x.3o.3o.    &   16 |   48   0 |   0  32   36    0 |   0    0   8   48    0    0    0    0 |  0   0   0   0  12  16   0    0    0    0 |   0   0   0   0   8  0   0   0   0   0   0   0 |  *  *  *   * 50   *   *   *   * |  0  2  0  0  1  0 | 1  2
oo3xo3ox3oo .. xo .. ..&#x &   30 |  100  60 |  30  60   30  150 |  15   10  15   20   40   40   30   30 |  3   5   0   0   5   0  20   10   10   20 |   1   0   0   0   0  2   5   5   0   0   0   0 |  *  *  *   *  * 120   *   *   * |  0  0  1  2  0  0 | 0  3
oo3xo3ox .. oo3xo .. ..&#x &   22 |   60  36 |  18  16   36   90 |   3   24   1   12   24   12   36   18 |  0   3   4   4   0   0   3   24    6   12 |   0   1   0   0   0  0   3   0   4   4   0   0 |  *  *  *   *  *   * 200   *   * |  0  0  1  0  2  0 | 0  3
oo3xo3ox .. .. xo3ox ..&#x &   30 |   84  72 |  12  34   54  180 |   3   12   3   42   24   36   54   54 |  0   3   0   4   3   8   6   12   12   42 |   0   0   1   0   1  0   3   3   0   4   0   4 |  *  *  *   *  *   *   * 400   * |  0  0  0  1  1  1 | 0  3
oo3xo3ox .. .. .. ox3oo&#x &   18 |   42  36 |   8  16   18   90 |   1    6   3   12   24   12   18   36 |  0   0   0   4   3   0   3    6   24   12 |   0   0   0   1   0  0   0   3   0   4   4   0 |  *  *  *   *  *   *   *   * 200 |  0  0  1  0  0  2 | 0  3
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o.3o. o.3x.3o. ..    &   60 |  300   0 | 100 160  360    0 |  40  240  30  360    0    0    0    0 |  6  90  40 120  60  80   0    0    0    0 |  12  30  40  20  20  0   0   0   0   0   0   0 |  4  4  5   5  0   0   0   0   0 | 20  *  *  *  *  * | 1  1
o.3x.3o.3o. .. x.3o.3o.    &   40 |  180   0 |  40 120  180    0 |  20   60  30  240    0    0    0    0 |  4  30   0  40  60  80   0    0    0    0 |   6   0  20  10  40  0   0   0   0   0   0   0 |  0  4  0   5  5   0   0   0   0 |  * 20  *  *  *  * | 1  1
oo3xo3ox3oo oo3xo .. ..&#x &   40 |  150  90 |  50  80   90  270 |  20   60  20   60   90   60   90   90 |  4  15  10  20  15   0  30   60   60   60 |   3   5   0   5   0  3  15  15  10  20  10   0 |  1  0  0   0  0   3   5   0   5 |  *  * 40  *  *  * | 0  2
oo3xo3ox3oo .. xo3ox ..&#x &   60 |  240 180 |  60 140  180  540 |  30   60  30  180  120  150  180  180 |  6  30   0  20  30  40  60   60   60  180 |   6   0  10   0  10  6  30  30   0  20   0  20 |  0  2  0   0  0   6   0  10   0 |  *  *  * 40  *  * | 0  2
oo3xo3ox .. oo3xo3ox ..&#x &   52 |  192 144 |  48  80  180  432 |  12   96   8  144   96   96  180  144 |  0  24  16  32  12  32  24   96   48  144 |   0   8   8   0   8  0  24  12  16  32   0  16 |  0  0  1   0  1   0   8   8   0 |  *  *  *  * 50  * | 0  2
oo3xo3ox .. .. xo3ox3oo&#x &   48 |  168 144 |  32  80  144  432 |   8   48  12  144   96   96  144  180 |  0  12   0  32  24  32  24   48   96  144 |   0   0   8   8   8  0  12  24   0  32  16  16 |  0  0  0   2  0   0   0   8   8 |  *  *  *  *  * 50 | 0  2
-----------------------------+-----+----------+-------------------+---------------------------------------+-------------------------------------------+------------------------------------------------+---------------------------------+-------------------+-----
o.3x.3o.3o. o.3x.3o.3o.    &  100 |  600   0 | 200 400  900    0 | 100  600 100 1200    0    0    0    0 | 20 300 100 400 300 400   0    0    0    0 |  60 100 200 100 200  0   0   0   0   0   0   0 | 20 40 25  50 25   0   0   0   0 | 10 10  0  0  0  0 | 2  *
oo3xo3ox3oo oo3xo3ox ..&#x &  100 |  480 360 | 140 280  540 1260 |  60  300  60  600  360  360  540  540 | 10 120  40 160 120 160 150  300  300  600 |  18  30  60  30  60 12 120 120  40 160  40  80 |  4  8  5  10  5  18  30  60  30 |  1  1  4  4  5  5 | * 20

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