| Acronym | gidacadint | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Name | great discellidispenteractitriacontaditeron | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Circumradius | sqrt[17-4 sqrt(2)]/2 = 1.683979 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Coordinates | (1+sqrt(2), sqrt(2)-1, 2 sqrt(2)-1, 1, 1)/2 & all permutations, all changes of sign | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Colonel of regiment |
(is itself locally convex
– other uniform polyteral members:
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| Face vector | 1920, 6720, 6720, 2160, 132 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Confer |
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External links |
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As abstract polytope gidacadint is isomorphic to sidacadint, thereby replacing octagrams by octagons, resp. replacing the sirco by querco, stop by op, gocco by socco, and quitco by girco, resp. replacing the skiviphado by gikviphado, sircope by quercope, quitcope by gircope, and gichado by sichado.
Incidence matrix according to Dynkin symbol
3 3 3
x---o---x---x
4 \ / 4/3
x
x3o3x3x *b4x4/3*c
. . . . . | 1920 | 2 2 1 2 | 1 2 2 2 1 1 2 2 2 | 1 1 1 2 2 2 1 1 1 2 | 1 1 1 2 1
------------------+------+--------------------+-------------------------------------+--------------------------------------+---------------
x . . . . | 2 | 1920 * * * | 1 1 1 1 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
. . x . . | 2 | * 1920 * * | 0 1 0 0 1 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
. . . x . | 2 | * * 960 * | 0 0 2 0 0 0 2 0 2 | 0 1 0 2 0 2 1 0 1 2 | 1 0 1 2 1
. . . . x | 2 | * * * 1920 | 0 0 0 1 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
------------------+------+--------------------+-------------------------------------+--------------------------------------+---------------
x3o . . . | 3 | 3 0 0 0 | 640 * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
x . x . . | 4 | 2 2 0 0 | * 960 * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
x . . x . | 4 | 2 0 2 0 | * * 960 * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
x . . . x | 4 | 2 0 0 2 | * * * 960 * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
. o3x . . | 3 | 0 3 0 0 | * * * * 640 * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
. o . . *b4x | 4 | 0 0 0 4 | * * * * * 480 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
. . x3x . | 6 | 0 3 3 0 | * * * * * * 640 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
. . x . x4/3*c | 8 | 0 4 0 4 | * * * * * * * 480 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 {8/3}
. . . x x | 4 | 0 0 2 2 | * * * * * * * * 960 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
------------------+------+--------------------+-------------------------------------+--------------------------------------+---------------
x3o3x . . ♦ 12 | 12 12 0 0 | 4 6 0 0 4 0 0 0 0 | 160 * * * * * * * * * | 1 1 0 0 0
x3o . x . ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 0 0 | * 320 * * * * * * * * | 1 0 1 0 0
x3o . . *b4x ♦ 24 | 24 0 0 24 | 8 0 0 12 0 6 0 0 0 | * * 80 * * * * * * * | 0 1 1 0 0
x . x3x . ♦ 12 | 6 6 6 0 | 0 3 3 0 0 0 2 0 0 | * * * 320 * * * * * * | 1 0 0 1 0
x . x . x4/3*c ♦ 16 | 8 8 0 8 | 0 4 0 4 0 0 0 2 0 | * * * * 240 * * * * * | 0 1 0 1 0
x . . x x ♦ 8 | 4 0 4 4 | 0 0 2 2 0 0 0 0 2 | * * * * * 480 * * * * | 0 0 1 1 0
. o3x3x . ♦ 12 | 0 12 6 0 | 0 0 0 0 4 0 4 0 0 | * * * * * * 160 * * * | 1 0 0 0 1
. o3x . *b4x4/3*c ♦ 24 | 0 24 0 24 | 0 0 0 0 8 6 0 6 0 | * * * * * * * 80 * * | 0 1 0 0 1
. o . x *b4x ♦ 8 | 0 0 4 8 | 0 0 0 0 0 2 0 0 4 | * * * * * * * * 240 * | 0 0 1 0 1
. . x3x x4/3*c ♦ 48 | 0 24 24 24 | 0 0 0 0 0 0 8 6 12 | * * * * * * * * * 80 | 0 0 0 1 1
------------------+------+--------------------+-------------------------------------+--------------------------------------+---------------
x3o3x3x . ♦ 60 | 60 60 30 0 | 20 30 30 0 20 0 20 0 0 | 5 10 0 10 0 0 5 0 0 0 | 32 * * * *
x3o3x . *b4x4/3*c ♦ 192 | 192 192 0 192 | 64 96 0 96 64 48 0 48 0 | 16 0 8 0 24 0 0 8 0 0 | * 10 * * *
x3o . x *b4x ♦ 48 | 48 0 24 48 | 16 0 24 24 0 12 0 0 24 | 0 8 2 0 0 12 0 0 6 0 | * * 40 * *
x . x3x x4/3*c ♦ 96 | 48 48 48 48 | 0 24 24 24 0 0 16 12 24 | 0 0 0 8 6 12 0 0 0 2 | * * * 40 *
. o3x3x *b4x4/3*c ♦ 192 | 0 192 96 192 | 0 0 0 0 64 48 64 48 96 | 0 0 0 0 0 0 16 8 24 8 | * * * * 10
3/2 3/2 3
x---o---x---x
4/3 \ / 4/3
x
x3/2o3/2x3x *b4/3x4/3*c
. . . . . | 1920 | 2 2 1 2 | 1 2 2 2 1 1 2 2 2 | 1 1 1 2 2 2 1 1 1 2 | 1 1 1 2 1
------------------------+------+--------------------+-------------------------------------+--------------------------------------+---------------
x . . . . | 2 | 1920 * * * | 1 1 1 1 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
. . x . . | 2 | * 1920 * * | 0 1 0 0 1 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
. . . x . | 2 | * * 960 * | 0 0 2 0 0 0 2 0 2 | 0 1 0 2 0 2 1 0 1 2 | 1 0 1 2 1
. . . . x | 2 | * * * 1920 | 0 0 0 1 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
------------------------+------+--------------------+-------------------------------------+--------------------------------------+---------------
x3/2o . . . | 3 | 3 0 0 0 | 640 * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
x . x . . | 4 | 2 2 0 0 | * 960 * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
x . . x . | 4 | 2 0 2 0 | * * 960 * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
x . . . x | 4 | 2 0 0 2 | * * * 960 * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
. o3/2x . . | 3 | 0 3 0 0 | * * * * 640 * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
. o . . *b4/3x | 4 | 0 0 0 4 | * * * * * 480 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
. . x3x . | 6 | 0 3 3 0 | * * * * * * 640 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
. . x . x4/3*c | 8 | 0 4 0 4 | * * * * * * * 480 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 {8/3}
. . . x x | 4 | 0 0 2 2 | * * * * * * * * 960 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
------------------------+------+--------------------+-------------------------------------+--------------------------------------+---------------
x3/2o3/2x . . ♦ 12 | 12 12 0 0 | 4 6 0 0 4 0 0 0 0 | 160 * * * * * * * * * | 1 1 0 0 0
x3/2o . x . ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 0 0 | * 320 * * * * * * * * | 1 0 1 0 0
x3/2o . . *b4/3x ♦ 24 | 24 0 0 24 | 8 0 0 12 0 6 0 0 0 | * * 80 * * * * * * * | 0 1 1 0 0
x . x3x . ♦ 12 | 6 6 6 0 | 0 3 3 0 0 0 2 0 0 | * * * 320 * * * * * * | 1 0 0 1 0
x . x . x4/3*c ♦ 16 | 8 8 0 8 | 0 4 0 4 0 0 0 2 0 | * * * * 240 * * * * * | 0 1 0 1 0
x . . x x ♦ 8 | 4 0 4 4 | 0 0 2 2 0 0 0 0 2 | * * * * * 480 * * * * | 0 0 1 1 0
. o3/2x3x . ♦ 12 | 0 12 6 0 | 0 0 0 0 4 0 4 0 0 | * * * * * * 160 * * * | 1 0 0 0 1
. o3/2x . *b4/3x4/3*c ♦ 24 | 0 24 0 24 | 0 0 0 0 8 6 0 6 0 | * * * * * * * 80 * * | 0 1 0 0 1
. o . x *b4/3x ♦ 8 | 0 0 4 8 | 0 0 0 0 0 2 0 0 4 | * * * * * * * * 240 * | 0 0 1 0 1
. . x3x x4/3*c ♦ 48 | 0 24 24 24 | 0 0 0 0 0 0 8 6 12 | * * * * * * * * * 80 | 0 0 0 1 1
------------------------+------+--------------------+-------------------------------------+--------------------------------------+---------------
x3/2o3/2x3x . ♦ 60 | 60 60 30 0 | 20 30 30 0 20 0 20 0 0 | 5 10 0 10 0 0 5 0 0 0 | 32 * * * *
x3/2o3/2x . *b4/3x4/3*c ♦ 192 | 192 192 0 192 | 64 96 0 96 64 48 0 48 0 | 16 0 8 0 24 0 0 8 0 0 | * 10 * * *
x3/2o . x *b4/3x ♦ 48 | 48 0 24 48 | 16 0 24 24 0 12 0 0 24 | 0 8 2 0 0 12 0 0 6 0 | * * 40 * *
x . x3x x4/3*c ♦ 96 | 48 48 48 48 | 0 24 24 24 0 0 16 12 24 | 0 0 0 8 6 12 0 0 0 2 | * * * 40 *
. o3/2x3x *b4/3x4/3*c ♦ 192 | 0 192 96 192 | 0 0 0 0 64 48 64 48 96 | 0 0 0 0 0 0 16 8 24 8 | * * * * 10
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