Acronym | tau tope |
Name | tetra-augmented tope |
Dihedral angles |
|
Face vector | 60, 156, 140, 44 |
Confer |
|
For this polychoron every alternate hip of tope will be augmented accordingly.
Incidence matrix according to Dynkin symbol
xb3xo3xx xo&#zx → height = 0, where b = (5+sqrt(10))/3 = 2.720759 (tegum sum of tope and (b,x)-co o.3o.3o. o. | 48 * | 1 1 1 1 1 0 | 1 1 1 1 1 1 1 1 1 0 | 1 1 1 1 1 1 .o3.o3.o .o | * 12 | 0 0 0 0 4 2 | 0 0 0 0 0 0 2 4 2 1 | 0 0 0 2 1 2 ---------------+-------+-------------------+----------------------------+-------------- x. .. .. .. | 2 0 | 24 * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 .. x. .. .. | 2 0 | * 24 * * * * | 1 0 0 1 1 0 1 0 0 0 | 1 1 0 1 1 0 .. .. x. .. | 2 0 | * * 24 * * * | 0 1 0 1 0 1 0 1 0 0 | 1 0 1 1 0 1 .. .. .. x. | 2 0 | * * * 24 * * | 0 0 1 0 1 1 0 0 1 0 | 0 1 1 0 1 1 oo3oo3oo oo&#x | 1 1 | * * * * 48 * | 0 0 0 0 0 0 1 1 1 0 | 0 0 0 1 1 1 .. .. .x .. | 0 2 | * * * * * 12 | 0 0 0 0 0 0 0 2 0 1 | 0 0 0 2 0 1 ---------------+-------+-------------------+----------------------------+-------------- x.3x. .. .. | 6 0 | 3 3 0 0 0 0 | 8 * * * * * * * * * | 1 1 0 0 0 0 x. .. x. .. | 4 0 | 2 0 2 0 0 0 | * 12 * * * * * * * * | 1 0 1 0 0 0 x. .. .. x. | 4 0 | 2 0 0 2 0 0 | * * 12 * * * * * * * | 0 1 1 0 0 0 .. x.3x. .. | 6 0 | 0 3 3 0 0 0 | * * * 8 * * * * * * | 1 0 0 1 0 0 .. x. .. x. | 4 0 | 0 2 0 2 0 0 | * * * * 12 * * * * * | 0 1 0 0 1 0 .. .. x. x. | 4 0 | 0 0 2 2 0 0 | * * * * * 12 * * * * | 0 0 1 0 0 1 .. xo .. ..&#x | 2 1 | 0 1 0 0 2 0 | * * * * * * 24 * * * | 0 0 0 1 1 0 .. .. xx ..&#x | 2 2 | 0 0 1 0 2 1 | * * * * * * * 24 * * | 0 0 0 1 0 1 .. .. .. xo&#x | 2 1 | 0 0 0 1 2 0 | * * * * * * * * 24 * | 0 0 0 0 1 1 .. .o3.x .. | 0 4 | 0 0 0 0 0 4 | * * * * * * * * * 4 | 0 0 0 2 0 0 ---------------+-------+-------------------+----------------------------+-------------- x.3x.3x. .. ♦ 24 0 | 12 12 12 0 0 0 | 4 6 0 4 0 0 0 0 0 0 | 2 * * * * * x.3x. .. x. ♦ 12 0 | 6 6 0 6 0 0 | 2 0 3 0 3 0 0 0 0 0 | * 4 * * * * x. .. x. x. ♦ 8 0 | 4 0 4 4 0 0 | 0 2 2 0 0 2 0 0 0 0 | * * 6 * * * .. xo3xx ..&#x ♦ 6 3 | 0 3 3 0 6 3 | 0 0 0 1 0 0 3 3 0 1 | * * * 8 * * .. xo .. xo&#x ♦ 4 1 | 0 2 0 2 4 0 | 0 0 0 0 1 0 2 0 2 0 | * * * * 12 * .. .. xx xo&#x ♦ 4 2 | 0 0 2 2 4 1 | 0 0 0 0 0 1 0 2 2 0 | * * * * * 12
© 2004-2024 | top of page |