Acronym | quittin |
Name | quasitruncated penteract |
Field of sections |
|
Circumradius | sqrt[13-8 sqrt(2)]/2 = 0.649286 |
Inradius wrt. quitit | [sqrt(2)-1]/2 = 0.207107 |
Inradius wrt. pen | (5-4 sqrt(2))/sqrt(20) = -0.146877 |
Vertex figure |
|
Coordinates | ((sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2) & all permutations, all changes of sign |
Volume | (1230-869 sqrt(2))/30 = 0.034947 |
Face vector | 160, 400, 400, 200, 42 |
Confer |
|
External links |
![]() ![]() |
As abstract polytope quittin is isomorphic to tan, thereby replacing octagrams by octagons, resp. quith by tic, resp. quitit by tat.
Note that the tets and pens become retrograde here.
Incidence matrix according to Dynkin symbol
o3o3o3x4/3x . . . . . | 160 | 4 1 | 6 4 | 4 6 | 1 4 ------------+-----+--------+--------+--------+------ . . . x . | 2 | 320 * | 3 1 | 3 3 | 1 3 . . . . x | 2 | * 80 ♦ 0 4 | 0 6 | 0 4 ------------+-----+--------+--------+--------+------ . . o3x . | 3 | 3 0 | 320 * | 2 1 | 1 2 . . . x4/3x | 8 | 4 4 | * 80 | 0 3 | 0 3 ------------+-----+--------+--------+--------+------ . o3o3x . ♦ 4 | 6 0 | 4 0 | 160 * | 1 1 . . o3x4/3x ♦ 24 | 24 12 | 8 6 | * 40 | 0 2 ------------+-----+--------+--------+--------+------ o3o3o3x . ♦ 5 | 10 0 | 10 0 | 5 0 | 32 * . o3o3x4/3x ♦ 64 | 96 32 | 64 24 | 16 8 | * 10
© 2004-2025 | top of page |