Acronym trarapdafup
Name (triangle, rectified-pentachoron)-duoantifastegiaprism,
pentachoron-first parabidiminished hexadecaexon
Circumradius 1
Face vector 60, 420, 920, 930, 486, 132, 18
Confer
uniform relative:
he  
general polytopal classes:
scaliform   segmentoexa   lace simplices  

Incidence matrix according to Dynkin symbol

xo3ox oo3xo3ox3oo&#x   → height = 2/sqrt(15) = 0,516397779
(trarap || bi-alt. trarap)

o.3o. o.3o.3o.3o.    & | 60 |  2   6   6 |  1  12  3   6   9  18 |  6  6  12  3  2  3  15  12   8  12 |  3  6  6  4 1  9  7  18  5 10 |  3  2 2  4  6  8  7 2 | 1  5 3
-----------------------+----+------------+-----------------------+------------------------------------+-------------------------------+-----------------------+-------
x. .. .. .. .. ..    & |  2 | 60   *   * |  1   6  0   0   3   0 |  6  3   6  0  0  3   6   3   0   0 |  3  6  3  2 0  9  3   6  1  0 |  3  2 1  4  6  3  2 0 | 1  5 1
.. .. .. x. .. ..    & |  2 |  * 180   * |  0   2  1   2   0   2 |  1  2   4  2  1  0   2   1   2   4 |  1  2  4  2 1  1  2   6  1  6 |  2  1 2  1  2  5  4 2 | 1  3 3
oo3oo oo3oo3oo3oo&#x   |  2 |  *   * 180 |  0   0  0   0   2   4 |  0  0   0  0  0  1   4   4   2   4 |  0  0  0  0 0  4  2   8  2  4 |  0  0 0  2  4  4  4 1 | 0  4 2
-----------------------+----+------------+-----------------------+------------------------------------+-------------------------------+-----------------------+-------
x.3o. .. .. .. ..    & |  3 |  3   0   0 | 20   *  *   *   *   * |  6  0   0  0  0  3   0   0   0   0 |  3  6  0  0 0  9  0   0  0  0 |  3  2 0  4  6  0  0 0 | 1  5 0
x. .. .. x. .. ..    & |  4 |  2   2   0 |  * 180  *   *   *   * |  1  1   2  0  0  0   1   0   0   0 |  1  2  2  1 0  1  1   2  0  0 |  2  1 1  1  2  2  1 0 | 1  3 1
.. .. o.3x. .. ..    & |  3 |  0   3   0 |  *   * 60   *   *   * |  0  2   0  2  0  0   0   0   2   0 |  1  0  4  0 1  0  2   0  1  4 |  2  0 2  1  0  4  2 2 | 1  2 3
.. .. .. x.3o. ..    & |  3 |  0   3   0 |  *   *  * 120   *   * |  0  0   2  1  1  0   0   0   0   2 |  0  1  2  2 1  0  0   3  0  4 |  1  1 2  0  1  3  3 2 | 1  2 3
xo .. .. .. .. ..&#x & |  3 |  1   0   2 |  *   *  *   * 180   * |  0  0   0  0  0  1   2   2   0   0 |  0  0  0  0 0  4  1   4  1  0 |  0  0 0  2  4  2  2 0 | 0  4 1
.. .. .. xo .. ..&#x & |  3 |  0   1   2 |  *   *  *   *   * 360 |  0  0   0  0  0  0   1   1   1   2 |  0  0  0  0 0  1  1   4  1  3 |  0  0 0  1  2  3  3 1 | 0  3 2
-----------------------+----+------------+-----------------------+------------------------------------+-------------------------------+-----------------------+-------
x.3o. .. x. .. ..    &   6 |  6   3   0 |  2   3  0   0   0   0 | 60  *   *  *  *  *   *   *   *   * |  1  2  0  0 0  1  0   0  0  0 |  2  1 0  1  2  0  0 0 | 1  3 0
x. .. o.3x. .. ..    &   6 |  3   6   0 |  0   3  2   0   0   0 |  * 60   *  *  *  *   *   *   *   * |  1  0  2  0 0  0  1   0  0  0 |  2  0 1  1  0  2  0 0 | 1  2 1
x. .. .. x.3o. ..    &   6 |  3   6   0 |  0   3  0   2   0   0 |  *  * 120  *  *  *   *   *   *   * |  0  1  1  1 0  0  0   1  0  0 |  1  1 1  0  1  1  1 0 | 1  2 1
.. .. o.3x.3o. ..    &   6 |  0  12   0 |  0   0  4   4   0   0 |  *  *   * 30  *  *   *   *   *   * |  0  0  2  0 1  0  0   0  0  2 |  1  0 2  0  0  2  1 2 | 1  1 3
.. .. .. x.3o.3o.    &   4 |  0   6   0 |  0   0  0   4   0   0 |  *  *   *  * 30  *   *   *   *   * |  0  0  0  2 1  0  0   0  0  2 |  0  1 2  0  0  1  2 2 | 1  1 3
xo3ox .. .. .. ..&#x     6 |  6   0   6 |  2   0  0   0   6   0 |  *  *   *  *  * 30   *   *   *   * |  0  0  0  0 0  4  0   0  0  0 |  0  0 0  2  4  0  0 0 | 0  4 0
xo .. .. xo .. ..&#x &   5 |  2   2   4 |  0   1  0   0   2   2 |  *  *   *  *  *  * 180   *   *   * |  0  0  0  0 0  1  1   2  0  0 |  0  0 0  1  2  2  1 0 | 0  3 1
xo .. .. .. ox ..&#x &   4 |  1   1   4 |  0   0  0   0   2   2 |  *  *   *  *  *  *   * 180   *   * |  0  0  0  0 0  1  0   2  1  0 |  0  0 0  1  2  1  2 0 | 0  3 1
.. .. oo3xo .. ..&#x &   4 |  0   3   3 |  0   0  1   0   0   3 |  *  *   *  *  *  *   *   * 120   * |  0  0  0  0 0  0  1   0  1  2 |  0  0 0  1  0  2  2 1 | 0  2 2
.. .. .. xo3ox ..&#x     6 |  0   6   6 |  0   0  0   2   0   6 |  *  *   *  *  *  *   *   *   * 120 |  0  0  0  0 0  0  0   2  0  2 |  0  0 0  0  1  2  2 1 | 0  2 2
-----------------------+----+------------+-----------------------+------------------------------------+-------------------------------+-----------------------+-------
x.3o. o.3x. .. ..    &   9 |  9   9   0 |  3   9  3   0   0   0 |  3  3   0  0  0  0   0   0   0   0 | 20  *  *  * *  *  *   *  *  * |  2  0 0  1  0  0  0 0 | 1  2 0
x.3o. .. x.3o. ..    &   9 |  9   9   0 |  3   9  0   3   0   0 |  3  0   3  0  0  0   0   0   0   0 |  * 40  *  * *  *  *   *  *  * |  1  1 0  0  1  0  0 0 | 1  2 0
x. .. o.3x.3o. ..    &  12 |  6  24   0 |  0  12  8   8   0   0 |  0  4   4  2  0  0   0   0   0   0 |  *  * 30  * *  *  *   *  *  * |  1  0 1  0  0  1  0 0 | 1  1 1
x. .. .. x.3o.3o.    &   8 |  4  12   0 |  0   6  0   8   0   0 |  0  0   4  0  2  0   0   0   0   0 |  *  *  * 30 *  *  *   *  *  * |  0  1 1  0  0  0  1 0 | 1  1 1
.. .. o.3x.3o.3o.    &  10 |  0  30   0 |  0   0 10  20   0   0 |  0  0   0  5  5  0   0   0   0   0 |  *  *  *  * 6  *  *   *  *  * |  0  0 2  0  0  0  0 2 | 1  0 3
xo3ox .. xo .. ..&#x &   9 |  9   3  12 |  3   3  0   0  12   6 |  1  0   0  0  0  2   3   3   0   0 |  *  *  *  * * 60  *   *  *  * |  0  0 0  1  2  0  0 0 | 0  3 0
xo .. oo3xo .. ..&#x &   7 |  3   6   6 |  0   3  2   0   3   6 |  0  1   0  0  0  0   3   0   2   0 |  *  *  *  * *  * 60   *  *  * |  0  0 0  1  0  2  0 0 | 0  2 1
xo .. .. xo3ox ..&#x &   9 |  3   9  12 |  0   3  0   3   6  12 |  0  0   1  0  0  0   3   3   0   2 |  *  *  *  * *  *  * 120  *  * |  0  0 0  0  1  1  1 0 | 0  2 1
xo .. .. .. ox3oo&#x &   5 |  1   3   6 |  0   0  1   0   3   6 |  0  0   0  0  0  0   0   3   2   0 |  *  *  *  * *  *  *   * 60  * |  0  0 0  1  0  0  2 0 | 0  2 1
.. .. oo3xo3ox ..&#x &  10 |  0  18  12 |  0   0  4   8   0  18 |  0  0   0  1  1  0   0   0   4   4 |  *  *  *  * *  *  *   *  * 60 |  0  0 0  0  0  1  1 1 | 0  1 2
-----------------------+----+------------+-----------------------+------------------------------------+-------------------------------+-----------------------+-------
x.3o. o.3x.3o. ..    &  18 | 18  36   0 |  6  36 12  12   0   0 | 12 12  12  3  0  0   0   0   0   0 |  4  4  3  0 0  0  0   0  0  0 | 10  * *  *  *  *  * * | 1  1 0
x.3o. .. x.3o.3o.    &  12 | 12  18   0 |  4  18  0  12   0   0 |  6  0  12  0  3  0   0   0   0   0 |  0  4  0  3 0  0  0   0  0  0 |  * 10 *  *  *  *  * * | 1  1 0
x. .. o.3x.3o.3o.    &  20 | 10  60   0 |  0  30 20  40   0   0 |  0 10  20 10 10  0   0   0   0   0 |  0  0  5  5 2  0  0   0  0  0 |  *  * 6  *  *  *  * * | 1  0 1
xo3ox oo3xo .. ..&#x &  12 | 12   9  18 |  4   9  3   0  18  18 |  3  3   0  0  0  3   9   9   6   0 |  1  0  0  0 0  3  3   0  3  0 |  *  * * 20  *  *  * * | 0  2 0
xo3ox .. xo3ox ..&#x    18 | 18  18  36 |  6  18  0   6  36  36 |  6  0   6  0  0  6  18  18   0   6 |  0  2  0  0 0  6  0   6  0  0 |  *  * *  * 20  *  * * | 0  2 0
xo .. oo3xo3ox ..&#x &  16 |  6  30  24 |  0  12  8  12  12  36 |  0  4   4  2  1  0  12   6   8   8 |  0  0  1  0 0  0  4   4  0  2 |  *  * *  *  * 30  * * | 0  1 1
xo .. .. xo3ox3oo&#x &  14 |  4  24  24 |  0   6  4  12  12  36 |  0  0   4  1  2  0   6  12   8   8 |  0  0  0  1 0  0  0   4  4  2 |  *  * *  *  *  * 30 * | 0  1 1
.. .. oo3xo3ox3oo&#x    20 |  0  60  30 |  0   0 20  40   0  60 |  0  0   0 10 10  0   0   0  20  20 |  0  0  0  0 2  0  0   0  0 10 |  *  * *  *  *  *  * 6 | 0  0 2
-----------------------+----+------------+-----------------------+------------------------------------+-------------------------------+-----------------------+-------
x.3o. o.3x.3o.3o.    &  30 | 30  90   0 | 10  90 30  60   0   0 | 30 30  60 15 15  0   0   0   0   0 | 10 20 15 15 3  0  0   0  0  0 |  5  5 3  0  0  0  0 0 | 2  * *
xo3ox oo3xo3ox ..&#x &  30 | 30  54  72 | 10  54 12  24  72 108 | 18 12  24  3  3 12  54  54  24  24 |  4  8  3  3 0 18 12  24 12  6 |  1  1 0  4  4  3  3 0 | * 10 *
xo .. oo3xo3ox3oo&#x &  30 | 10  90  60 |  0  30 30  60  30 120 |  0 10  20 15 15  0  30  30  40  40 |  0  0  5  5 3  0 10  20 10 20 |  0  0 1  0  0  5  5 2 | *  * 6

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