Acronym gidpixhi
Name great disprismatohexacosihecatonicosachoron,
omnitruncated hecatonicosachoron,
omnitruncated hexacosachoron
Cross sections
 ©
Circumradius sqrt[83+36 sqrt(5)] = 12.786651
Vertex figure
 ©
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: dip grid hip toe
gidpixhi 7201201200600
)
Dihedral angles
  • at {6} between hip and toe:   arccos(-sqrt[9+3 sqrt(5)]/4) = 172.238756°
  • at {4} between dip and hip:   arccos(-sqrt[(10+2 sqrt(5))/15]) = 169.187683°
  • at {4} between dip and toe:   arccos(-sqrt[(5+2 sqrt(5))/10]) = 166.717474°
  • at {10} between dip and grid:   162°
  • at {4} between grid and hip:   arccos(-sqrt[(3+sqrt(5))/6]) = 159.094843°
  • at {6} between grid and toe:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
External
links
hedrondude   wikipedia   WikiChoron   quickfur

As abstract polytope gidpixhi is isomorphic to gaquidapixhi, thereby replacing the decagons by decagrams, resp. replacing the grid by gaquatid and the dip by stiddip.


Incidence matrix according to Dynkin symbol

x3x3x5x

. . . . | 14400 |    1    1    1    1 |    1    1    1    1    1    1 |   1    1   1   1
--------+-------+---------------------+-------------------------------+-----------------
x . . . |     2 | 7200    *    *    * |    1    1    1    0    0    0 |   1    1   1   0
. x . . |     2 |    * 7200    *    * |    1    0    0    1    1    0 |   1    1   0   1
. . x . |     2 |    *    * 7200    * |    0    1    0    1    0    1 |   1    0   1   1
. . . x |     1 |    *    *    * 7200 |    0    0    1    0    1    1 |   0    1   1   1
--------+-------+---------------------+-------------------------------+-----------------
x3x . . |     6 |    3    3    0    0 | 2400    *    *    *    *    * |   1    1   0   0
x . x . |     4 |    2    0    2    0 |    * 3600    *    *    *    * |   1    0   1   0
x . . x |     4 |    2    0    0    2 |    *    * 3600    *    *    * |   0    1   1   0
. x3x . |     6 |    0    3    3    0 |    *    *    * 2400    *    * |   1    0   0   1
. x . x |     4 |    0    2    0    2 |    *    *    *    * 3600    * |   0    1   0   1
. . x5x |    10 |    0    0    5    5 |    *    *    *    *    * 1440 |   0    0   1   1
--------+-------+---------------------+-------------------------------+-----------------
x3x3x .     24 |   12   12   12    0 |    4    6    0    4    0    0 | 600    *   *   *
x3x . x     12 |    6    6    0    6 |    2    0    3    0    3    0 |   * 1200   *   *
x . x5x     20 |   10    0   10   10 |    0    5    5    0    0    2 |   *    * 720   *
. x3x5x    120 |    0   60   60   60 |    0    0    0   20   30   12 |   *    *   * 120

snubbed forms: β3x3x5x, x3β3x5x, x3x3β5x, x3x3x5β, β3β3x5x, β3x3β5x, β3x3x5β, x3β3β5x, x3β3x5β, x3x3β5β, β3β3β5x, β3β3x5β, β3x3β5β, x3β3β5β, s3s3s5s

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