Acronym gadtaxhiap
Name grand ditetrahedrary hexacontahecatonicosachoron antiprism
Circumradius sqrt[(5+sqrt(5))/8] = 0.951057
Vertex figure
 ©
Confer
general polytopal classes:
segmentotera  
External
links
hedrondude  

As abstract polytope gadtaxhiap is isomorphic to sidtaxhiap, thereby replacing pentagons and pentagrams, resp. replacing gidtid by sidtid and pap by stap, resp. replacing gadtaxhi by sidtaxhi and gidtidap by sidtidap.


Incidence matrix according to Dynkin symbol

β2o3o3o5/3β

both( . . . .   . ) | 1200 |    4   12 |    6   18   12 |   6   4   16    4 |   4 1    5
--------------------+------+-----------+----------------+-------------------+-----------
both( s . 2 .   s ) |    2 | 2400    * |    0    6    0 |   3   0    6    0 |   3 0    2
sefa( . . . o5/3β ) |    2 |    * 7200 |    1    1    2 |   1   2    2    1 |   2 1    1
--------------------+------+-----------+----------------+-------------------+-----------
      . . . o5/3β   |    5 |    0    5 | 1440    *    * |   1   2    0    0 |   2 1    0
sefa( β 2 . o5/3β ) |    3 |    2    1 |    * 7200    * |   1   0    2    0 |   2 0    1
sefa( . . o3o5/3β ) |    3 |    0    3 |    *    * 4800 |   0   1    1    1 |   1 1    1
--------------------+------+-----------+----------------+-------------------+-----------
      β 2 . o5/3β      10 |   10   10 |    2   10    0 | 720   *    *    * |   2 0    0
      . . o3o5/3β      20 |    0   60 |   12    0   20 |   * 240    *    * |   1 1    0
sefa( β 2 o3o5/3β )     4 |    3    3 |    0    3    1 |   *   * 4800    * |   1 0    1
sefa( . o3o3o5/3β )     4 |    0    6 |    0    0    4 |   *   *    * 1200 |   0 1    1
--------------------+------+-----------+----------------+-------------------+-----------
      β 2 o3o5/3β      40 |   60  120 |   24  120   40 |  12   2   40    0 | 120 *    *
      . o3o3o5/3β     600 |    0 3600 |  720    0 2400 |   0 120    0  600 |   * 2    *
sefa( β2o3o3o5/3β )     5 |    4    6 |    0    6    4 |   0   0    4    1 |   * * 1200

starting figure: x o3o3o5/3x

oo3oo3xo5ox3/2*b&#x   → height = sqrt[(9 sqrt(5)-19)/2] = 0.749871
(smaller version of: gadtaxhi || gadtaxhi)

o.3o.3o.5o.3/2*b    | 600   * |   12    4    0 |   12   6   12    6    0   0 |   4   4   12    4   6   0   0 | 1   4   1   4 0
.o3.o3.o5.o3/2*b    |   * 600 |    0    4   12 |    0   0    6   12   12   6 |   0   0    4   12   6   4   4 | 0   1   4   4 1
--------------------+---------+----------------+-----------------------------+-------------------------------+----------------
.. .. x. ..         |   2   0 | 3600    *    * |    2   1    1    0    0   0 |   1   2    2    0   1   0   0 | 1   1   0   2 0
oo3oo3oo5oo3/2*b&#x |   1   1 |    * 2400    * |    0   0    3    3    0   0 |   0   0    3    3   3   0   0 | 0   1   1   3 0
.. .. .. .x         |   0   2 |    *    * 3600 |    0   0    0    1    2   1 |   0   0    0    2   1   1   2 | 0   0   1   2 1
--------------------+---------+----------------+-----------------------------+-------------------------------+----------------
.. o.3x. ..         |   3   0 |    3    0    0 | 2400   *    *    *    *   * |   1   1    1    0   0   0   0 | 1   1   0   1 0
.. .. x.5o.         |   5   0 |    5    0    0 |    * 720    *    *    *   * |   0   2    0    0   1   0   0 | 1   0   0   2 0
.. .. xo ..     &#x |   2   1 |    1    2    0 |    *   * 3600    *    *   * |   0   0    2    0   1   0   0 | 0   1   0   2 0
.. .. .. ox     &#x |   1   2 |    0    2    1 |    *   *    * 3600    *   * |   0   0    0    2   1   0   0 | 0   0   1   2 0
.. .o .. .x3/2*b    |   0   3 |    0    0    3 |    *   *    *    * 2400   * |   0   0    0    1   0   1   1 | 0   0   1   1 1
.. .. .o5.x         |   0   5 |    0    0    5 |    *   *    *    *    * 720 |   0   0    0    0   1   0   2 | 0   0   0   2 1
--------------------+---------+----------------+-----------------------------+-------------------------------+----------------
o.3o.3x. ..            4   0 |    6    0    0 |    4   0    0    0    0   0 | 600   *    *    *   *   *   * | 1   1   0   0 0
.. o.3x.5o.3/2*b      20   0 |   60    0    0 |   20  12    0    0    0   0 |   * 120    *    *   *   *   * | 1   0   0   1 0
.. oo3xo ..     &#x    3   1 |    3    3    0 |    1   0    3    0    0   0 |   *   * 2400    *   *   *   * | 0   1   0   1 0
.. oo .. ox3/2*b&#x    1   3 |    0    3    3 |    0   0    0    3    1   0 |   *   *    * 2400   *   *   * | 0   0   1   1 0
.. .. xo5ox     &#x    5   5 |    5   10    5 |    0   1    5    5    0   1 |   *   *    *    * 720   *   * | 0   0   0   2 0
.o3.o .. .x3/2*b       0   4 |    0    0    6 |    0   0    0    0    4   0 |   *   *    *    *   * 600   * | 0   0   1   0 1
.. .o3.o5.x3/2*b       0  20 |    0    0   60 |    0   0    0    0   20  12 |   *   *    *    *   *   * 120 | 0   0   0   1 1
--------------------+---------+----------------+-----------------------------+-------------------------------+----------------
o.3o.3x.5o.3/2*b     600   0 | 3600    0    0 | 2400 720    0    0    0   0 | 600 120    0    0   0   0   0 | 1   *   *   * *
oo3oo3xo ..     &#x    4   1 |    6    4    0 |    4   0    6    0    0   0 |   1   0    4    0   0   0   0 | * 600   *   * *
oo3oo .. ox3/2*b&#x    1   4 |    0    4    6 |    0   0    0    6    4   0 |   0   0    0    4   0   1   0 | *   * 600   * *
.. oo3xo5ox3/2*b&#x   20  20 |   60   60   60 |   20  12   60   60   20  12 |   0   1   20   20  12   0   1 | *   *   * 120 *
.o3.o3.o5.x3/2*b       0 600 |    0    0 3600 |    0   0    0    0 2400 720 |   0   0    0    0   0 600 120 | *   *   *   * 1

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