Acronym sartabittit
Name small rhombated triacontadipeton atop bitruncated triacontadipeton,
sart-first cap of small birhombated hexacontitetrapeton
Circumradius sqrt(5) = 2.236068
Lace city
in approx. ASCII-art
i   t   r   t   i		-- x3o3x3o4o (sart)
                 
t   u   T   u   t		-- o3x3x3o4o (bittit)

where:
i = o3x3o4o (ico)
t = x3x3o4o (thex)
r = x3o3x4o (rico)
u = o3u3o4o (u-ico)
T = o3x3x4o (tah)
Face vector 480, 2400, 3680, 2440, 764, 84
Confer
uniform relative:
siborg
general polytopal classes:
segmentopeta  

Incidence matrix according to Dynkin symbol

xo3ox3xx3oo4oo&#x   → height = 1/sqrt(2) = 0.707107
(sart || bittit)

o.3o.3o.3o.4o.    | 240   * |   2   8   2   0   0 |  1   8   4   8   2   1   8  0   0   0 |  4   8   4  2  1   8   4   8  0   0  0 |  4  2  1  4   8   4  2  0  0 | 1  4  2  1 0
.o3.o3.o3.o4.o    |   * 240 |   0   0   2   2   4 |  0   0   0   0   1   2   8  1   8   4 |  0   0   0  0  1   4   8   8  4   8  1 |  0  0  0  4   4   8  2  4  2 | 0  4  1  2 1
------------------+---------+---------------------+---------------------------------------+----------------------------------------+------------------------------+-------------
x. .. .. .. ..    |   2   0 | 240   *   *   *   * |  1   4   0   0   1   0   0  0   0   0 |  4   4   0  0  1   4   0   0  0   0  0 |  4  1  0  4   4   0  0  0  0 | 1  4  1  0 0
.. .. x. .. ..    |   2   0 |   * 960   *   *   * |  0   1   1   2   0   0   1  0   0   0 |  1   2   2  1  0   1   1   2  0   0  0 |  2  1  1  1   2   2  1  0  0 | 1  2  1  1 0
oo3oo3oo3oo4oo&#x |   1   1 |   *   * 480   *   * |  0   0   0   0   1   1   4  0   0   0 |  0   0   0  0  1   4   4   4  0   0  0 |  0  0  0  4   4   4  1  0  0 | 0  4  1  1 0
.. .x .. .. ..    |   0   2 |   *   *   * 240   * |  0   0   0   0   0   1   0  1   4   0 |  0   0   0  0  1   0   4   0  4   4  0 |  0  0  0  4   0   4  0  4  1 | 0  4  0  1 1
.. .. .x .. ..    |   0   2 |   *   *   *   * 480 |  0   0   0   0   0   0   2  0   2   2 |  0   0   0  0  0   1   2   4  1   4  1 |  0  0  0  1   2   4  2  2  2 | 0  2  1  2 1
------------------+---------+---------------------+---------------------------------------+----------------------------------------+------------------------------+-------------
x.3o. .. .. ..    |   3   0 |   3   0   0   0   0 | 80   *   *   *   *   *   *  *   *   * |  4   0   0  0  1   0   0   0  0   0  0 |  4  0  0  4   0   0  0  0  0 | 1  4  0  0 0
x. .. x. .. ..    |   4   0 |   2   2   0   0   0 |  * 480   *   *   *   *   *  *   *   * |  1   2   0  0  0   1   0   0  0   0  0 |  2  1  0  1   2   0  0  0  0 | 1  2  1  0 0
.. o.3x. .. ..    |   3   0 |   0   3   0   0   0 |  *   * 320   *   *   *   *  *   *   * |  1   0   2  0  0   0   1   0  0   0  0 |  2  0  1  1   0   2  0  0  0 | 1  2  0  1 0
.. .. x.3o. ..    |   3   0 |   0   3   0   0   0 |  *   *   * 640   *   *   *  *   *   * |  0   1   1  1  0   0   0   1  0   0  0 |  1  1  1  0   1   1  1  0  0 | 1  1  1  1 0
xo .. .. .. ..&#x |   2   1 |   1   0   2   0   0 |  *   *   *   * 240   *   *  *   *   * |  0   0   0  0  1   4   0   0  0   0  0 |  0  0  0  4   4   0  0  0  0 | 0  4  1  0 0
.. ox .. .. ..&#x |   1   2 |   0   0   2   1   0 |  *   *   *   *   * 240   *  *   *   * |  0   0   0  0  1   0   4   0  0   0  0 |  0  0  0  4   0   4  0  0  0 | 0  4  0  1 0
.. .. xx .. ..&#x |   2   2 |   0   1   2   0   1 |  *   *   *   *   *   * 960  *   *   * |  0   0   0  0  0   1   1   2  0   0  0 |  0  0  0  1   2   2  1  0  0 | 0  2  1  1 0
.o3.x .. .. ..    |   0   3 |   0   0   0   3   0 |  *   *   *   *   *   *   * 80   *   * |  0   0   0  0  1   0   0   0  4   0  0 |  0  0  0  4   0   0  0  4  0 | 0  4  0  0 1
.. .x3.x .. ..    |   0   6 |   0   0   0   3   3 |  *   *   *   *   *   *   *  * 320   * |  0   0   0  0  0   0   1   0  1   2  0 |  0  0  0  1   0   2  0  2  1 | 0  2  0  1 1
.. .. .x3.o ..    |   0   3 |   0   0   0   0   3 |  *   *   *   *   *   *   *  *   * 320 |  0   0   0  0  0   0   0   2  0   2  1 |  0  0  0  0   1   2  2  1  2 | 0  1  1  2 1
------------------+---------+---------------------+---------------------------------------+----------------------------------------+------------------------------+-------------
x.3o.3x. .. ..      12   0 |  12  12   0   0   0 |  4   6   4   0   0   0   0  0   0   0 | 80   *   *  *  *   *   *   *  *   *  * |  2  0  0  1   0   0  0  0  0 | 1  2  0  0 0
x. .. x.3o. ..       6   0 |   3   6   0   0   0 |  0   3   0   2   0   0   0  0   0   0 |  * 320   *  *  *   *   *   *  *   *  * |  1  1  0  0   1   0  0  0  0 | 1  1  1  0 0
.. o.3x.3o. ..       6   0 |   0  12   0   0   0 |  0   0   4   4   0   0   0  0   0   0 |  *   * 160  *  *   *   *   *  *   *  * |  1  0  1  0   0   1  0  0  0 | 1  1  0  1 0
.. .. x.3o.4o.       6   0 |   0  12   0   0   0 |  0   0   0   8   0   0   0  0   0   0 |  *   *   * 80  *   *   *   *  *   *  * |  0  1  1  0   0   0  1  0  0 | 1  0  1  1 0
xo3ox .. .. ..&#x    3   3 |   3   0   6   3   0 |  1   0   0   0   3   3   0  1   0   0 |  *   *   *  * 80   *   *   *  *   *  * |  0  0  0  4   0   0  0  0  0 | 0  4  0  0 0
xo .. xx .. ..&#x    4   2 |   2   2   4   0   1 |  0   1   0   0   2   0   2  0   0   0 |  *   *   *  *  * 480   *   *  *   *  * |  0  0  0  1   2   0  0  0  0 | 0  2  1  0 0
.. ox3xx .. ..&#x    3   6 |   0   3   6   3   3 |  0   0   1   0   0   3   3  0   1   0 |  *   *   *  *  *   * 320   *  *   *  * |  0  0  0  1   0   2  0  0  0 | 0  2  0  1 0
.. .. xx3oo ..&#x    3   3 |   0   3   3   0   3 |  0   0   0   1   0   0   3  0   0   1 |  *   *   *  *  *   *   * 640  *   *  * |  0  0  0  0   1   1  1  0  0 | 0  1  1  1 0
.o3.x3.x .. ..       0  12 |   0   0   0  12   6 |  0   0   0   0   0   0   0  4   4   0 |  *   *   *  *  *   *   *   * 80   *  * |  0  0  0  1   0   0  0  2  0 | 0  2  0  0 1
.. .x3.x3.o ..       0  12 |   0   0   0   6  12 |  0   0   0   0   0   0   0  0   4   4 |  *   *   *  *  *   *   *   *  * 160  * |  0  0  0  0   0   1  0  1  1 | 0  1  0  1 1
.. .. .x3.o4.o       0   6 |   0   0   0   0  12 |  0   0   0   0   0   0   0  0   0   8 |  *   *   *  *  *   *   *   *  *   * 40 |  0  0  0  0   0   0  2  0  2 | 0  0  1  2 1
------------------+---------+---------------------+---------------------------------------+----------------------------------------+------------------------------+-------------
x.3o.3x.3o. ..      30   0 |  30  60   0   0   0 | 10  30  20  20   0   0   0  0   0   0 |  5  10   5  0  0   0   0   0  0   0  0 | 32  *  *  *   *   *  *  *  * | 1  1  0  0 0
x. .. x.3o.4o.      12   0 |   6  24   0   0   0 |  0  12   0  16   0   0   0  0   0   0 |  0   8   0  2  0   0   0   0  0   0  0 |  * 40  *  *   *   *  *  *  * | 1  0  1  0 0
.. o.3x.3o.4o.      24   0 |   0  96   0   0   0 |  0   0  32  64   0   0   0  0   0   0 |  0   0  16  8  0   0   0   0  0   0  0 |  *  * 10  *   *   *  *  *  * | 1  0  0  1 0
xo3ox3xx .. ..&#x   12  12 |  12  12  24  12   6 |  4   6   4   0  12  12  12  4   4   0 |  1   0   0  0  4   6   4   0  1   0  0 |  *  *  * 80   *   *  *  *  * | 0  2  0  0 0
xo .. xx3oo ..&#x    6   3 |   3   6   6   0   3 |  0   3   0   2   3   0   6  0   0   1 |  0   1   0  0  0   3   0   2  0   0  0 |  *  *  *  * 320   *  *  *  * | 0  1  1  0 0
.. ox3xx3oo ..&#x    6  12 |   0  12  12   6  12 |  0   0   4   4   0   6  12  0   4   4 |  0   0   1  0  0   0   4   4  0   1  0 |  *  *  *  *   * 160  *  *  * | 0  1  0  1 0
.. .. xx3oo4oo&#x    6   6 |   0  12   6   0  12 |  0   0   0   8   0   0  12  0   0   8 |  0   0   0  1  0   0   0   8  0   0  1 |  *  *  *  *   *   * 80  *  * | 0  0  1  1 0
.o3.x3.x3.o ..       0  30 |   0   0   0  30  30 |  0   0   0   0   0   0   0 10  20  10 |  0   0   0  0  0   0   0   0  5   5  0 |  *  *  *  *   *   *  * 32  * | 0  1  0  0 1
.. .x3.x3.o4.o       0  48 |   0   0   0  24  96 |  0   0   0   0   0   0   0  0  32  64 |  0   0   0  0  0   0   0   0  0  16  8 |  *  *  *  *   *   *  *  * 10 | 0  0  0  1 1
------------------+---------+---------------------+---------------------------------------+----------------------------------------+------------------------------+-------------
x.3o.3x.3o.4o.     240   0 | 240 960   0   0   0 | 80 480 320 640   0   0   0  0   0   0 | 80 320 160 80  0   0   0   0  0   0  0 | 32 40 10  0   0   0  0  0  0 | 1  *  *  * *
xo3ox3xx3oo ..&#x   30  30 |  30  60  60  30  30 | 10  30  20  20  30  30  60 10  20  10 |  5  10   5  0 10  30  20  20  5   5  0 |  1  0  0  5  10   5  0  1  0 | * 32  *  * *
xo .. xx3oo4oo&#x   12   6 |   6  24  12   0  12 |  0  12   0  16   6   0  24  0   0   8 |  0   8   0  2  0  12   0  16  0   0  1 |  0  1  0  0   8   0  2  0  0 | *  * 40  * *
.. ox3xx3oo4oo&#x   24  48 |   0  96  48  24  96 |  0   0  32  64   0  24  96  0  32  64 |  0   0  16  8  0   0  32  64  0  16  8 |  0  0  1  0   0  16  8  0  1 | *  *  * 10 *
.o3.x3.x3.o4.o       0 240 |   0   0   0 240 480 |  0   0   0   0   0   0   0 80 320 320 |  0   0   0  0  0   0   0   0 80 160 40 |  0  0  0  0   0   0  0 32 10 | *  *  *  * 1

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