| Acronym | quitcatxog |
| Name | quasitericellitruncated hexeractihexacontatetrapeton |
| Circumradius | sqrt[(19-8 sqrt(2))/2] = 1.960394 |
| Coordinates | (3 sqrt(2)-1, 2 sqrt(2)-1, sqrt(2)-1, sqrt(2)-1, sqrt(2)-1, 1)/2 & all permutations, all changes of sign |
| Face vector | 7680, 30720, 47220, 32160, 8888, 728 |
| Confer |
|
As abstract polyteron quitcatxog is isomorph to tactaxog, thereby replacing octagrams by octagons, resp. stop by op and quith by tic, resp. histodip by hodip, tistodip by todip, quithip by ticcup, and quitit by tat, resp. stotut by otut, haquith by hatic, quititip by tattip, and quacpot by capt.
Incidence matrix according to Dynkin symbol
x3x3o3o3x4/3x . . . . . . | 7680 | 1 3 3 1 | 3 3 1 3 6 3 3 3 | 3 6 3 3 3 1 3 3 3 6 1 3 | 1 3 3 3 6 1 3 1 1 3 3 1 | 1 1 3 3 1 1 --------------+------+-----------------------+------------------------------------------+------------------------------------------------------------+--------------------------------------------------+--------------------- x . . . . . | 2 | 3840 * * * | 3 3 1 0 0 0 0 0 | 3 6 3 3 3 0 0 0 0 0 0 0 | 1 3 3 3 6 1 3 0 0 0 0 0 | 1 1 3 3 1 0 . x . . . . | 2 | * 11520 * * | 1 0 0 2 2 1 0 0 | 2 2 1 0 0 1 2 2 1 2 0 0 | 1 2 2 1 2 0 0 1 1 2 1 0 | 1 1 2 1 0 1 . . . . x . | 2 | * * 11520 * | 0 1 0 0 2 0 2 1 | 0 2 0 2 1 0 1 0 2 2 1 2 | 0 1 0 2 2 1 2 1 0 1 2 1 | 1 0 1 2 1 1 . . . . . x | 2 | * * * 3840 | 0 0 1 0 0 3 0 3 | 0 0 3 0 3 0 0 3 0 6 0 3 | 0 0 3 0 6 0 3 0 1 3 3 1 | 0 1 3 3 1 1 --------------+------+-----------------------+------------------------------------------+------------------------------------------------------------+--------------------------------------------------+--------------------- x3x . . . . | 6 | 3 3 0 0 | 3840 * * * * * * * | 2 2 1 0 0 0 0 0 0 0 0 0 | 1 2 2 1 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0 x . . . x . | 4 | 2 0 2 0 | * 5760 * * * * * * | 0 2 0 2 1 0 0 0 0 0 0 0 | 0 1 0 2 2 1 2 0 0 0 0 0 | 1 0 1 2 1 0 x . . . . x | 4 | 2 0 0 2 | * * 1920 * * * * * | 0 0 3 0 3 0 0 0 0 0 0 0 | 0 0 3 0 6 0 3 0 0 0 0 0 | 0 1 3 3 1 0 . x3o . . . | 3 | 0 3 0 0 | * * * 7680 * * * * | 1 0 0 0 0 1 1 1 0 0 0 0 | 1 1 1 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1 . x . . x . | 4 | 0 2 2 0 | * * * * 11520 * * * | 0 1 0 0 0 0 1 0 1 1 0 0 | 0 1 0 1 1 0 0 1 0 1 1 0 | 1 0 1 1 0 1 . x . . . x | 4 | 0 2 0 2 | * * * * * 5760 * * | 0 0 1 0 0 0 0 2 0 2 0 0 | 0 0 2 0 2 0 0 0 1 2 1 0 | 0 1 2 1 0 1 . . . o3x . | 3 | 0 0 3 0 | * * * * * * 7680 * | 0 0 0 1 0 0 0 0 1 0 1 1 | 0 0 0 1 0 1 1 1 0 0 1 1 | 1 0 0 1 1 1 . . . . x4/3x | 8 | 0 0 4 4 | * * * * * * * 2880 | 0 0 0 0 1 0 0 0 0 2 0 2 | 0 0 0 0 2 0 2 0 0 1 2 1 | 0 0 1 2 1 1 --------------+------+-----------------------+------------------------------------------+------------------------------------------------------------+--------------------------------------------------+--------------------- x3x3o . . . ♦ 12 | 6 12 0 0 | 4 0 0 4 0 0 0 0 | 1920 * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 x3x . . x . ♦ 12 | 6 6 6 0 | 2 3 0 0 3 0 0 0 | * 3840 * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 x3x . . . x ♦ 12 | 6 6 0 6 | 2 0 3 0 0 3 0 0 | * * 1920 * * * * * * * * * | 0 0 2 0 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0 x . . o3x . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 0 2 0 | * * * 3840 * * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 0 | 1 0 0 1 1 0 x . . . x4/3x ♦ 16 | 8 0 8 8 | 0 4 4 0 0 0 0 2 | * * * * 1440 * * * * * * * | 0 0 0 0 2 0 2 0 0 0 0 0 | 0 0 1 2 1 0 . x3o3o . . ♦ 4 | 0 6 0 0 | 0 0 0 4 0 0 0 0 | * * * * * 1920 * * * * * * | 1 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 . x3o . x . ♦ 6 | 0 6 3 0 | 0 0 0 2 3 0 0 0 | * * * * * * 3840 * * * * * | 0 1 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1 . x3o . . x ♦ 6 | 0 6 0 3 | 0 0 0 2 0 3 0 0 | * * * * * * * 3840 * * * * | 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 . x . o3x . ♦ 6 | 0 3 6 0 | 0 0 0 0 3 0 2 0 | * * * * * * * * 3840 * * * | 0 0 0 1 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1 . x . . x4/3x ♦ 16 | 0 8 8 8 | 0 0 0 0 4 4 0 2 | * * * * * * * * * 2880 * * | 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1 . . o3o3x . ♦ 4 | 0 0 6 0 | 0 0 0 0 0 0 4 0 | * * * * * * * * * * 1920 * | 0 0 0 0 0 1 0 1 0 0 0 1 | 1 0 0 0 1 1 . . . o3x4/3x ♦ 24 | 0 0 24 12 | 0 0 0 0 0 0 8 6 | * * * * * * * * * * * 960 | 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 --------------+------+-----------------------+------------------------------------------+------------------------------------------------------------+--------------------------------------------------+--------------------- x3x3o3o . . ♦ 20 | 10 30 0 0 | 10 0 0 20 0 0 0 0 | 5 0 0 0 0 5 0 0 0 0 0 0 | 384 * * * * * * * * * * * | 1 1 0 0 0 0 x3x3o . x . ♦ 24 | 12 24 12 0 | 8 6 0 8 12 0 0 0 | 2 4 0 0 0 0 4 0 0 0 0 0 | * 960 * * * * * * * * * * | 1 0 1 0 0 0 x3x3o . . x ♦ 24 | 12 24 0 12 | 8 0 6 8 0 12 0 0 | 2 0 4 0 0 0 0 4 0 0 0 0 | * * 960 * * * * * * * * * | 0 1 1 0 0 0 x3x . o3x . ♦ 18 | 9 9 18 0 | 3 9 0 0 9 0 6 0 | 0 3 0 3 0 0 0 0 3 0 0 0 | * * * 1280 * * * * * * * * | 1 0 0 1 0 0 x3x . . x4/3x ♦ 48 | 24 24 24 24 | 8 12 12 0 12 12 0 6 | 0 4 4 0 3 0 0 0 0 3 0 0 | * * * * 960 * * * * * * * | 0 0 1 1 0 0 x . o3o3x . ♦ 8 | 4 0 12 0 | 0 6 0 0 0 0 8 0 | 0 0 0 4 0 0 0 0 0 0 2 0 | * * * * * 960 * * * * * * | 1 0 0 0 1 0 x . . o3x4/3x ♦ 48 | 24 0 48 24 | 0 24 12 0 0 0 16 12 | 0 0 0 8 6 0 0 0 0 0 0 2 | * * * * * * 480 * * * * * | 0 0 0 1 1 0 . x3o3o3x . ♦ 20 | 0 30 30 0 | 0 0 0 20 30 0 20 0 | 0 0 0 0 0 5 10 0 10 0 5 0 | * * * * * * * 384 * * * * | 1 0 0 0 0 1 . x3o3o . x ♦ 8 | 0 12 0 4 | 0 0 0 8 0 6 0 0 | 0 0 0 0 0 2 0 4 0 0 0 0 | * * * * * * * * 960 * * * | 0 1 0 0 0 1 . x3o . x4/3x ♦ 24 | 0 24 12 12 | 0 0 0 8 12 12 0 3 | 0 0 0 0 0 0 4 4 0 3 0 0 | * * * * * * * * * 960 * * | 0 0 1 0 0 1 . x . o3x4/3x ♦ 48 | 0 24 48 24 | 0 0 0 0 24 12 16 12 | 0 0 0 0 0 0 0 0 8 6 0 2 | * * * * * * * * * * 480 * | 0 0 0 1 0 1 . . o3o3x4/3x ♦ 64 | 0 0 96 32 | 0 0 0 0 0 0 64 24 | 0 0 0 0 0 0 0 0 0 0 16 8 | * * * * * * * * * * * 120 | 0 0 0 0 1 1 --------------+------+-----------------------+------------------------------------------+------------------------------------------------------------+--------------------------------------------------+--------------------- x3x3o3o3x . ♦ 120 | 60 180 180 0 | 60 90 0 120 180 0 120 0 | 30 60 0 60 0 30 60 0 60 0 30 0 | 6 15 0 20 0 15 0 6 0 0 0 0 | 64 * * * * * x3x3o3o . x ♦ 40 | 20 60 0 20 | 20 0 10 40 0 30 0 0 | 10 0 10 0 0 10 0 20 0 0 0 0 | 2 0 5 0 0 0 0 0 5 0 0 0 | * 192 * * * * x3x3o . x4/3x ♦ 96 | 48 96 48 48 | 32 24 24 32 48 48 0 12 | 8 16 16 0 6 0 16 16 0 12 0 0 | 0 4 4 0 4 0 0 0 0 4 0 0 | * * 240 * * * x3x . o3x4/3x ♦ 144 | 72 72 144 72 | 24 72 36 0 72 36 48 36 | 0 24 12 24 18 0 0 0 24 18 0 6 | 0 0 0 8 6 0 3 0 0 0 3 0 | * * * 160 * * x . o3o3x4/3x ♦ 128 | 64 0 192 64 | 0 96 32 0 0 0 128 48 | 0 0 0 64 24 0 0 0 0 0 32 16 | 0 0 0 0 0 16 8 0 0 0 0 2 | * * * * 60 * . x3o3o3x4/3x ♦ 640 | 0 960 960 320 | 0 0 0 640 960 480 640 240 | 0 0 0 0 0 160 320 320 320 240 160 80 | 0 0 0 0 0 0 0 32 80 80 40 10 | * * * * * 12
© 2004-2026 | top of page |