trip-alternated osirco
- general polytopal classes:
- isogonal
links
| Acronym | ... |
| Name |
s4x2x3o4s, trip-alternated osirco |
| Circumradius | sqrt(2)+1/2 = 1.914214 |
| Face vector | 96, 336, 448, 256, 50 |
| Confer |
|
|
External links |
|
This isogonal polyteron is obtained by hemiation of osirco. But because of lower degree of freedom the resulting edge sizes cannot be made all alike.
Incidence matrix according to Dynkin symbol
s4x2x3o4s
demi( . . . . . ) | 96 | 1 2 2 1 1 | 2 1 1 2 1 2 4 3 2 | 1 2 2 1 1 1 4 3 3 2 | 1 2 1 1 1 3
------------------+----+----------------+----------------------------+------------------------------+--------------
demi( . x . . . ) | 2 | 48 * * * * | 2 0 1 0 1 0 2 0 0 | 1 2 2 0 0 0 2 2 0 2 | 1 2 1 0 1 2
demi( . . x . . ) | 2 | * 96 * * * | 1 1 0 1 0 1 0 0 1 | 1 1 0 0 1 1 2 0 2 1 | 1 1 0 1 1 2
s 2 . s | 2 | * * 96 * * | 0 0 0 1 0 0 2 2 0 | 0 0 1 1 0 0 2 2 2 0 | 0 1 1 1 0 2 q
. . . o4s | 2 | * * * 48 * | 0 0 0 0 1 0 0 2 2 | 0 0 0 1 1 0 0 2 2 2 | 0 0 1 1 1 2 q
sefa( s4x . . . ) | 2 | * * * * 48 | 0 0 1 0 0 2 2 0 0 | 0 2 2 0 0 1 2 1 0 0 | 1 2 1 0 0 1 w
------------------+----+----------------+----------------------------+------------------------------+--------------
demi( . x x . . ) | 4 | 2 2 0 0 0 | 48 * * * * * * * * | 1 1 0 0 0 0 1 0 0 1 | 1 1 0 0 1 1
demi( . . x3o . ) | 3 | 0 3 0 0 0 | * 32 * * * * * * * | 1 0 0 0 1 1 0 0 1 0 | 1 0 0 1 1 1
s4x . . . | 4 | 2 0 0 0 2 | * * 24 * * * * * * | 0 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 x2w
s 2 x 2 s | 4 | 0 2 2 0 0 | * * * 48 * * * * * | 0 0 0 0 0 0 2 0 2 0 | 0 1 0 1 0 2 x2q
. x 2 o4s | 4 | 2 0 0 2 0 | * * * * 24 * * * * | 0 0 0 0 0 0 0 2 0 2 | 0 0 1 0 1 2 x2q
sefa( s4x2x . . ) | 4 | 0 2 0 0 2 | * * * * * 48 * * * | 0 1 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 x2w
sefa( s4x 2 s ) | 4 | 1 0 2 0 1 | * * * * * * 96 * * | 0 0 1 0 0 0 1 1 0 0 | 0 1 1 0 0 1 xw&#q (traz)
sefa( s 2 o4s ) | 3 | 0 0 2 1 0 | * * * * * * * 96 * | 0 0 0 1 0 0 0 1 1 0 | 0 0 1 1 0 1 q3o
sefa( . . x3o4s ) | 6 | 0 3 0 3 0 | * * * * * * * * 32 | 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 q3x
------------------+----+----------------+----------------------------+------------------------------+--------------
demi( . x x3o . ) | 6 | 3 6 0 0 0 | 3 2 0 0 0 0 0 0 0 | 16 * * * * * * * * * | 1 0 0 0 1 0 trip
s4x2x . . | 8 | 4 4 0 0 4 | 2 0 2 0 0 2 0 0 0 | * 24 * * * * * * * * | 1 1 0 0 0 0 x2x2w
s4x 2 s | 8 | 4 0 4 0 4 | 0 0 2 0 0 0 4 0 0 | * * 24 * * * * * * * | 0 1 1 0 0 0 wx2xw&#q, recta variant
s 2 o4s | 4 | 0 0 4 2 0 | 0 0 0 0 0 0 0 4 0 | * * * 24 * * * * * * | 0 0 1 1 0 0 q-tet
. . x3o4s | 12 | 0 12 0 6 0 | 0 4 0 0 0 0 0 0 4 | * * * * 8 * * * * * | 0 0 0 1 1 0 q3x3o
sefa( s4x2x3o . ) | 6 | 0 6 0 0 3 | 0 2 0 0 0 3 0 0 0 | * * * * * 16 * * * * | 1 0 0 0 0 1 w x3o, tall trip variant
sefa( s4x2x 2 s ) | 8 | 2 4 4 0 2 | 1 0 0 2 0 1 2 0 0 | * * * * * * 48 * * * | 0 1 0 0 0 1 xx2xw&#q, trazip
sefa( s4x 2 o4s ) | 6 | 2 0 4 2 1 | 0 0 0 0 1 0 2 2 0 | * * * * * * * 48 * * | 0 0 1 0 0 1 wx2oq&#q, wedge-like trip variant
sefa( s 2 x3o4s ) | 9 | 0 6 6 3 0 | 0 1 0 3 0 0 0 3 1 | * * * * * * * * 32 * | 0 0 0 1 0 1 xx3oq&#q, tricu variant
sefa( . x2x3o4s ) | 12 | 6 6 0 6 0 | 3 0 0 0 3 0 0 0 2 | * * * * * * * * * 16 | 0 0 0 0 1 1 x q3x, hip variant
------------------+----+----------------+----------------------------+------------------------------+--------------
s4x2x3o . | 12 | 6 12 0 0 6 | 6 4 3 0 0 6 0 0 0 | 2 3 0 0 0 2 0 0 0 0 | 8 * * * * * w x x3o, tisdip variant
s4x2x 2 s | 16 | 8 8 8 0 8 | 4 0 4 4 0 4 8 0 0 | 0 2 2 0 0 0 4 0 0 0 | * 12 * * * * xx2wx2xw&#q, recta prism
s4x 2 o4s | 16 | 8 0 16 8 8 | 0 0 4 0 4 0 16 16 0 | 0 0 4 4 0 0 0 8 0 0 | * * 6 * * * dispap
s 2 x3o4s | 24 | 0 24 24 12 0 | 0 8 0 12 0 0 0 24 8 | 0 0 0 6 2 0 0 0 8 0 | * * * 4 * * tuta variant
. x2x3o4s | 24 | 12 24 0 12 0 | 12 8 0 0 6 0 0 0 8 | 4 0 0 0 2 0 0 0 0 4 | * * * * 4 * tuttip variant
sefa( s4x2x3o4s ) | 18 | 6 12 12 6 3 | 3 2 0 6 3 3 6 6 2 | 0 0 0 0 0 1 3 3 2 1 | * * * * * 16 wx2xx3oq&#q
starting figure: x4x x3o4x
© 2004-2024 | top of page |