Acronym grahi
Name great rhombated hecatonicosachoron,
cantitruncated hecatonicosachoron
 
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Cross sections
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Circumradius sqrt[64+28 sqrt(5)] = 11.252107
Vertex figure
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General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: grid trip tut
grahi 1201200600
)
Dihedral angles
  • at {3} between trip and tut:   arccos(-sqrt[9+3 sqrt(5)]/4) = 172.238756°
  • at {4} between grid and trip:   arccos(-sqrt[(3+sqrt(5))/6]) = 159.094843°
  • at {6} between grid and tut:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {10} between grid and grid:   144°
Confer 2grahi  
External
links
hedrondude   wikipedia   WikiChoron   quickfur

As abstract polytope grahi is isomorphic to gaqrigagishi, thereby replacing the decagons by decagrams, resp. replacing grid by gaquatid.


Incidence matrix according to Dynkin symbol

o3x3x5x

. . . . | 7200 |    2    1    1 |    1    2    2   1 |   1    1   2
--------+------+----------------+--------------------+-------------
. x . . |    2 | 7200    *    * |    1    1    1   0 |   1    1   1
. . x . |    2 |    * 3600    * |    0    2    0   1 |   1    0   2
. . . x |    2 |    *    * 3600 |    0    0    2   1 |   0    1   2
--------+------+----------------+--------------------+-------------
o3x . . |    3 |    3    0    0 | 2400    *    *   * |   1    1   0
. x3x . |    6 |    3    3    0 |    * 2400    *   * |   1    0   1
. x . x |    4 |    2    0    2 |    *    * 3600   * |   0    1   1
. . x5x |   10 |    0    5    5 |    *    *    * 720 |   0    0   2
--------+------+----------------+--------------------+-------------
o3x3x .    12 |   12    6    0 |    4    4    0   0 | 600    *   *
o3x . x     6 |    6    0    3 |    2    0    3   0 |   * 1200   *
. x3x5x   120 |   60   60   60 |    0   20   30  12 |   *    * 120

snubbed forms: o3β3x5x, o3x3β5x, o3x3x5β, o3β3β5x, o3β3x5β, o3x3β5β, o3β3β5β

o3/2x3x5x

.   . . . | 7200 |    2    1    1 |    1    2    2   1 |   1    1   2
----------+------+----------------+--------------------+-------------
.   x . . |    2 | 7200    *    * |    1    1    1   0 |   1    1   1
.   . x . |    2 |    * 3600    * |    0    2    0   1 |   1    0   2
.   . . x |    2 |    *    * 3600 |    0    0    2   1 |   0    1   2
----------+------+----------------+--------------------+-------------
o3/2x . . |    3 |    3    0    0 | 2400    *    *   * |   1    1   0
.   x3x . |    6 |    3    3    0 |    * 2400    *   * |   1    0   1
.   x . x |    4 |    2    0    2 |    *    * 3600   * |   0    1   1
.   . x5x |   10 |    0    5    5 |    *    *    * 720 |   0    0   2
----------+------+----------------+--------------------+-------------
o3/2x3x .    12 |   12    6    0 |    4    4    0   0 | 600    *   *
o3/2x . x     6 |    6    0    3 |    2    0    3   0 |   * 1200   *
.   x3x5x   120 |   60   60   60 |    0   20   30  12 |   *    * 120

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