©
©
- general polytopal classes:
- Wythoffian polytera
links
| Acronym | narptint |
| Name | penteractiretroprismatotruncated penteractitriacontaditeron |
| Field of sections |
|
| Circumradius | sqrt[19+6 sqrt(2)]/2 = 2.621320 |
| Vertex figure |
|
| Colonel of regiment | niptant |
| Face vector | 1920, 5760, 5200, 1600, 142 |
| Confer |
|
|
External links |
|
As abstract polytope narptint is isomorphic to noqraptant, thereby interchanging the roles of octagrams and octagons, resp. replacing tic by quith, girco by quitco, and stop by op, resp. replacing siphado by giphado, tistodip by todip, thatpath by thaquitpath, and thatoth by thaquitoth.
Incidence matrix according to Dynkin symbol
3/2
x---o
3 \ / 3
x
3 / \ 4
x---x
4/3
x4x4/3x3*a3o3/2x3*a . . . . . | 1920 | 2 1 1 2 | 2 2 1 2 1 2 2 1 | 2 1 2 1 2 1 2 1 1 | 1 2 1 1 1 --------------------+------+-------------------+---------------------------------+----------------------------------+--------------- x . . . . | 2 | 1920 * * * | 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 960 * * | 2 0 0 0 1 2 0 0 | 2 1 2 0 0 0 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 960 * | 0 2 0 0 1 0 2 0 | 2 0 0 1 2 0 2 0 1 | 1 2 0 1 1 . . . . x | 2 | * * * 1920 | 0 0 0 1 0 1 1 1 | 0 0 1 0 1 1 1 1 1 | 0 1 1 1 1 --------------------+------+-------------------+---------------------------------+----------------------------------+--------------- x4x . . . | 8 | 4 4 0 0 | 480 * * * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x . x3*a . . | 6 | 3 0 3 0 | * 640 * * * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0 x . . *a3o . | 3 | 3 0 0 0 | * * 640 * * * * * | 0 1 0 1 0 1 0 0 0 | 1 0 1 1 0 x . . . x3*a | 6 | 3 0 0 3 | * * * 640 * * * * | 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0 . x4/3x . . | 8 | 0 4 4 0 | * * * * 240 * * * | 2 0 0 0 0 0 2 0 0 | 1 2 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * * 960 * * | 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 960 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1 . . . o3/2x | 3 | 0 0 0 3 | * * * * * * * 640 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 --------------------+------+-------------------+---------------------------------+----------------------------------+--------------- x4x4/3x3*a . . ♦ 48 | 24 24 24 0 | 6 8 0 0 6 0 0 0 | 80 * * * * * * * * | 1 1 0 0 0 x4x . *a3o . ♦ 24 | 24 12 0 0 | 6 0 8 0 0 0 0 0 | * 80 * * * * * * * | 1 0 1 0 0 x4x . . x3*a ♦ 48 | 24 24 0 24 | 6 0 0 8 0 12 0 0 | * * 80 * * * * * * | 0 1 1 0 0 x . x3*a3o . ♦ 12 | 12 0 6 0 | 0 4 4 0 0 0 0 0 | * * * 160 * * * * * | 1 0 0 1 0 x . x3*a . x3*a ♦ 24 | 12 0 12 12 | 0 4 0 4 0 0 6 0 | * * * * 160 * * * * | 0 1 0 1 0 x . . *a3o3/2x3*a ♦ 12 | 12 0 0 12 | 0 0 4 4 0 0 0 4 | * * * * * 160 * * * | 0 0 1 1 0 . x4/3x . x ♦ 16 | 0 8 8 8 | 0 0 0 0 2 4 4 0 | * * * * * * 240 * * | 0 1 0 0 1 . x . o3/2x ♦ 6 | 0 3 0 6 | 0 0 0 0 0 3 0 2 | * * * * * * * 320 * | 0 0 1 0 1 . . x o3/2x ♦ 6 | 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * * * 320 | 0 0 0 1 1 --------------------+------+-------------------+---------------------------------+----------------------------------+--------------- x4x4/3x3*a3o . ♦ 192 | 192 96 96 0 | 48 64 64 0 24 0 0 0 | 8 8 0 16 0 0 0 0 0 | 10 * * * * x4x4/3x3*a . x3*a ♦ 384 | 192 192 192 192 | 48 64 0 64 48 96 96 0 | 8 0 8 0 16 0 24 0 0 | * 10 * * * x4x . *a3o3/2x3*a ♦ 192 | 192 96 0 192 | 48 0 64 64 0 96 0 64 | 0 8 8 0 0 16 0 32 0 | * * 10 * * x . x3*a3o3/2x3*a ♦ 60 | 60 0 30 60 | 0 20 20 20 0 0 30 20 | 0 0 0 5 5 5 0 0 10 | * * * 32 * . x4/3x o3/2x ♦ 24 | 0 12 12 24 | 0 0 0 0 3 12 12 8 | 0 0 0 0 0 0 3 4 4 | * * * * 80
3
x---o
3 \ / 3/2
x
3 / \ 4
x---x
4/3
x4x4/3x3*a3/2o3x3*a . . . . . | 1920 | 2 1 1 2 | 2 2 1 2 1 2 2 1 | 2 1 2 1 2 1 2 1 1 | 1 2 1 1 1 --------------------+------+-------------------+---------------------------------+----------------------------------+--------------- x . . . . | 2 | 1920 * * * | 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 960 * * | 2 0 0 0 1 2 0 0 | 2 1 2 0 0 0 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 960 * | 0 2 0 0 1 0 2 0 | 2 0 0 1 2 0 2 0 1 | 1 2 0 1 1 . . . . x | 2 | * * * 1920 | 0 0 0 1 0 1 1 1 | 0 0 1 0 1 1 1 1 1 | 0 1 1 1 1 --------------------+------+-------------------+---------------------------------+----------------------------------+--------------- x4x . . . | 8 | 4 4 0 0 | 480 * * * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x . x3*a . . | 6 | 3 0 3 0 | * 640 * * * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0 x . . *a3/2o . | 3 | 3 0 0 0 | * * 640 * * * * * | 0 1 0 1 0 1 0 0 0 | 1 0 1 1 0 x . . . x3*a | 6 | 3 0 0 3 | * * * 640 * * * * | 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0 . x4/3x . . | 8 | 0 4 4 0 | * * * * 240 * * * | 2 0 0 0 0 0 2 0 0 | 1 2 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * * 960 * * | 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 960 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1 . . . o3x | 3 | 0 0 0 3 | * * * * * * * 640 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 --------------------+------+-------------------+---------------------------------+----------------------------------+--------------- x4x4/3x3*a . . ♦ 48 | 24 24 24 0 | 6 8 0 0 6 0 0 0 | 80 * * * * * * * * | 1 1 0 0 0 x4x . *a3/2o . ♦ 24 | 24 12 0 0 | 6 0 8 0 0 0 0 0 | * 80 * * * * * * * | 1 0 1 0 0 x4x . . x3*a ♦ 48 | 24 24 0 24 | 6 0 0 8 0 12 0 0 | * * 80 * * * * * * | 0 1 1 0 0 x . x3*a3/2o . ♦ 12 | 12 0 6 0 | 0 4 4 0 0 0 0 0 | * * * 160 * * * * * | 1 0 0 1 0 x . x3*a . x3*a ♦ 24 | 12 0 12 12 | 0 4 0 4 0 0 6 0 | * * * * 160 * * * * | 0 1 0 1 0 x . . *a3/2o3x3*a ♦ 12 | 12 0 0 12 | 0 0 4 4 0 0 0 4 | * * * * * 160 * * * | 0 0 1 1 0 . x4/3x . x ♦ 16 | 0 8 8 8 | 0 0 0 0 2 4 4 0 | * * * * * * 240 * * | 0 1 0 0 1 . x . o3x ♦ 6 | 0 3 0 6 | 0 0 0 0 0 3 0 2 | * * * * * * * 320 * | 0 0 1 0 1 . . x o3x ♦ 6 | 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * * * 320 | 0 0 0 1 1 --------------------+------+-------------------+---------------------------------+----------------------------------+--------------- x4x4/3x3*a3/2o . ♦ 192 | 192 96 96 0 | 48 64 64 0 24 0 0 0 | 8 8 0 16 0 0 0 0 0 | 10 * * * * x4x4/3x3*a . x3*a ♦ 384 | 192 192 192 192 | 48 64 0 64 48 96 96 0 | 8 0 8 0 16 0 24 0 0 | * 10 * * * x4x . *a3/2o3x3*a ♦ 192 | 192 96 0 192 | 48 0 64 64 0 96 0 64 | 0 8 8 0 0 16 0 32 0 | * * 10 * * x . x3*a3/2o3x3*a ♦ 60 | 60 0 30 60 | 0 20 20 20 0 0 30 20 | 0 0 0 5 5 5 0 0 10 | * * * 32 * . x4/3x o3x ♦ 24 | 0 12 12 24 | 0 0 0 0 3 12 12 8 | 0 0 0 0 0 0 3 4 4 | * * * * 80
© 2004-2025 | top of page |