Acronym | snippit (old: spitac, alt.: snahin) |
Name |
snub prismatotriacontaditeron, snub demipenteract, alternation of great prismated triacontaditeron |
Circumradius | ... |
Face vector | 960, 6720, 10880, 6240, 1122 |
Confer |
|
External links |
This isogonal polyteron is obtained by hemiation of gippit. But because of lower degree of freedom the resulting edge sizes cannot be made all alike.
Snippit is meant to be used for all variations under the full symmetry, i.e. for s3s3s3s4o. Snahin is meant to be used for all subsymmetric variations, i.e. for s3s3s *b3s3s.
Incidence matrix according to Dynkin symbol
s3s3s3s4o demi( . . . . . ) | 960 | 1 2 2 1 2 2 4 | 1 1 2 3 6 6 3 6 3 3 | 1 2 2 1 2 1 1 8 4 4 4 | 2 1 1 1 5 ------------------+-----+------------------------------+--------------------------------------------+--------------------------------------------+---------------- s 2 s . . | 2 | 480 * * * * * * | 0 0 0 2 0 4 0 0 0 0 | 1 0 2 0 0 0 0 4 0 2 0 | 2 0 1 0 2 q s 2 . s . | 2 | * 960 * * * * * | 0 0 0 0 2 2 2 0 0 0 | 0 1 1 1 0 0 0 2 2 2 0 | 1 1 1 0 2 q . s 2 s . | 2 | * * 960 * * * * | 0 0 0 0 2 0 0 2 2 0 | 0 1 0 0 1 1 0 2 2 0 2 | 1 1 0 1 2 q . . . s4o | 2 | * * * 480 * * * | 0 0 0 0 0 0 2 0 2 2 | 0 0 0 1 0 1 1 0 2 2 2 | 0 1 1 1 2 q sefa( s3s . . . ) | 2 | * * * * 960 * * | 1 0 0 1 2 0 0 0 0 0 | 1 2 0 0 0 0 0 2 1 0 0 | 2 1 0 0 1 h sefa( . s3s . . ) | 2 | * * * * * 960 * | 0 1 0 1 0 0 0 2 0 0 | 1 0 0 0 2 0 0 2 0 0 1 | 2 0 0 1 1 h sefa( . . s3s . ) | 2 | * * * * * * 1920 | 0 0 1 0 0 1 0 1 0 1 | 0 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 h ------------------+-----+------------------------------+--------------------------------------------+--------------------------------------------+---------------- s3s . . . | 3 | 0 0 0 0 3 0 0 | 320 * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 2 1 0 0 0 h3o . s3s . . | 3 | 0 0 0 0 0 3 0 | * 320 * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 | 2 0 0 1 0 h3o . . s3s . | 3 | 0 0 0 0 0 0 3 | * * 640 * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 h3o sefa( s3s3s . . ) | 3 | 1 0 0 0 1 1 0 | * * * 960 * * * * * * | 1 0 0 0 0 0 0 2 0 0 0 | 2 0 0 0 1 oq&#h sefa( s3s 2 s . ) | 3 | 0 1 1 0 1 0 0 | * * * * 1920 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 oh&#q sefa( s 2 s3s . ) | 3 | 1 1 0 0 0 0 1 | * * * * * 1920 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 oh&#q sefa( s 2 . s4o ) | 3 | 0 2 0 1 0 0 0 | * * * * * * 960 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 q3o sefa( . s3s3s . ) | 3 | 0 0 1 0 0 1 1 | * * * * * * * 1920 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 oq&#h sefa( . s 2 s4o ) | 3 | 0 0 2 1 0 0 0 | * * * * * * * * 960 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 q3o sefa( . . s3s4o ) | 3 | 0 0 0 1 0 0 2 | * * * * * * * * * 960 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 oq&#h ------------------+-----+------------------------------+--------------------------------------------+--------------------------------------------+---------------- s3s3s . . | 12 | 6 0 0 0 12 12 0 | 4 4 0 12 0 0 0 0 0 0 | 80 * * * * * * * * * * | 2 0 0 0 0 pyritohedral ike variant s3s 2 s . | 6 | 0 3 3 0 6 0 0 | 2 0 0 0 6 0 0 0 0 0 | * 320 * * * * * * * * * | 1 1 0 0 0 triangular antiprism s 2 s3s . | 6 | 3 3 0 0 0 0 6 | 0 0 2 0 0 6 0 0 0 0 | * * 320 * * * * * * * * | 1 0 1 0 0 triangular antiprism s 2 . s4o | 4 | 0 4 0 2 0 0 0 | 0 0 0 0 0 0 4 0 0 0 | * * * 240 * * * * * * * | 0 1 1 0 0 q-tetrahedra . s3s3s . | 12 | 0 0 6 0 0 12 12 | 0 4 4 0 0 0 0 12 0 0 | * * * * 160 * * * * * * | 1 0 0 1 0 pyritohedral ike variant . s 2 s4o | 4 | 0 0 4 2 0 0 0 | 0 0 0 0 0 0 0 0 4 0 | * * * * * 240 * * * * * | 0 1 0 1 0 q-tetrahedra . . s3s4o | 12 | 0 0 0 6 0 0 24 | 0 0 8 0 0 0 0 0 0 12 | * * * * * * 80 * * * * | 0 0 1 1 0 pyritohedral ike variant sefa( s3s3s3s . ) | 4 | 1 1 1 0 1 1 1 | 0 0 0 1 1 1 0 1 0 0 | * * * * * * * 1920 * * * | 1 0 0 0 1 chiral digonal antifrustrum (disphenoid) sefa( s3s 2 s4o ) | 4 | 0 2 2 1 1 0 0 | 0 0 0 0 2 0 1 0 1 0 | * * * * * * * * 960 * * | 0 1 0 0 1 symmetric digonal antifrustrum (disphenoid) sefa( s 2 s3s4o ) | 4 | 1 2 0 1 0 0 2 | 0 0 0 0 0 2 1 0 0 1 | * * * * * * * * * 960 * | 0 0 1 0 1 pyramid above isot sefa( . s3s3s4o ) | 4 | 0 0 2 1 0 1 2 | 0 0 0 0 0 0 0 2 1 1 | * * * * * * * * * * 960 | 0 0 0 1 1 trigonal pyramid ------------------+-----+------------------------------+--------------------------------------------+--------------------------------------------+---------------- s3s3s3s . | 60 | 30 30 30 0 60 60 60 | 20 20 20 60 60 60 0 60 0 0 | 5 10 10 0 5 0 0 60 0 0 0 | 32 * * * * snub decachoron s3s 2 s4o | 12 | 0 12 12 6 12 0 0 | 4 0 0 0 24 0 12 0 12 0 | 0 4 0 3 0 3 0 0 12 0 0 | * 80 * * * 2-3-duoantiprism s 2 s3s4o | 24 | 12 24 0 12 0 0 48 | 0 0 16 0 0 48 24 0 0 24 | 0 0 8 6 0 0 2 0 0 24 0 | * * 40 * * pyritohedral ike antiprism . s3s3s4o | 96 | 0 0 96 48 0 96 192 | 0 32 64 0 0 0 0 192 96 96 | 0 0 0 0 16 24 8 0 0 0 96 | * * * 10 * pyritohedral sadi variant sefa( s3s3s3s4o ) | 5 | 1 2 2 1 1 1 2 | 0 0 0 1 2 2 1 2 1 1 | 0 0 0 0 0 0 0 2 1 1 1 | * * * * 960 pentachoron variant starting figure: x3x3x3x4o
s3s3s *b3s3s demi( . . . . . ) | 960 | 1 1 1 1 1 1 2 2 2 2 | 1 1 1 1 3 3 3 3 3 3 3 3 3 3 | 1 1 1 1 1 1 1 1 1 1 4 4 4 4 4 | 1 1 1 1 1 5 ---------------------+-----+-----------------------------------------+---------------------------------------------------------+---------------------------------------------------------+------------------- s 2 s . . | 2 | 480 * * * * * * * * * | 0 0 0 0 2 0 0 2 2 0 0 0 0 0 | 1 0 0 1 1 0 0 0 0 0 2 2 0 2 0 | 1 1 0 1 0 2 s . 2 s . | 2 | * 480 * * * * * * * * | 0 0 0 0 0 2 0 2 0 2 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 2 0 2 2 0 | 1 0 1 1 0 2 s . 2 . s | 2 | * * 480 * * * * * * * | 0 0 0 0 0 0 2 0 2 2 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 2 2 2 0 | 0 1 1 1 0 2 . s . 2 s | 2 | * * * 480 * * * * * * | 0 0 0 0 0 0 2 0 0 0 0 2 2 0 | 0 0 1 0 0 0 0 1 1 0 0 2 2 0 2 | 0 1 1 0 1 2 . . s 2 s . | 2 | * * * * 480 * * * * * | 0 0 0 0 0 0 0 2 0 0 2 0 0 2 | 0 0 0 1 0 0 1 0 0 1 2 0 0 2 2 | 1 0 0 1 1 2 . . s 2 . s | 2 | * * * * * 480 * * * * | 0 0 0 0 0 0 0 0 2 0 0 2 0 2 | 0 0 0 0 1 0 0 1 0 1 0 2 0 2 2 | 0 1 0 1 1 2 sefa( s3s . . . ) | 2 | * * * * * * 960 * * * | 1 0 0 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1 sefa( . s3s . . ) | 2 | * * * * * * * 960 * * | 0 1 0 0 1 0 0 0 0 0 1 1 0 0 | 1 0 0 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1 sefa( . s . *b3s . ) | 2 | * * * * * * * * 960 * | 0 0 1 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 | 1 0 1 0 1 1 sefa( . . . s3s ) | 2 | * * * * * * * * * 960 | 0 0 0 1 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1 ---------------------+-----+-----------------------------------------+---------------------------------------------------------+---------------------------------------------------------+------------------- s3s . . . | 3 | 0 0 0 0 0 0 3 0 0 0 | 320 * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 h3o . s3s . . | 3 | 0 0 0 0 0 0 0 3 0 0 | * 320 * * * * * * * * * * * * | 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0 h3o . s . *b3s . | 3 | 0 0 0 0 0 0 0 0 3 0 | * * 320 * * * * * * * * * * * | 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0 h3o . . . s3s | 3 | 0 0 0 0 0 0 0 0 0 3 | * * * 320 * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0 h3o sefa( s3s3s . . ) | 3 | 1 0 0 0 0 0 1 1 0 0 | * * * * 960 * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 oq&#h sefa( s3s . *b3s . ) | 3 | 0 1 0 0 0 0 1 0 1 0 | * * * * * 960 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1 oq&#h sefa( s3s 2 . s ) | 3 | 0 0 1 1 0 0 1 0 0 0 | * * * * * * 960 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 oh&#q sefa( s 2 s 2 s . ) | 3 | 1 1 0 0 1 0 0 0 0 0 | * * * * * * * 960 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1 q3o sefa( s 2 s 2 . s ) | 3 | 1 0 1 0 0 1 0 0 0 0 | * * * * * * * * 960 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1 q3o sefa( s . 2 s3s ) | 3 | 0 1 1 0 0 0 0 0 0 1 | * * * * * * * * * 960 * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1 oh&#q sefa( . s3s *b3s . ) | 3 | 0 0 0 0 1 0 0 1 1 0 | * * * * * * * * * * 960 * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1 oq&#h sefa( . s3s 2 . s ) | 3 | 0 0 0 1 0 1 0 1 0 0 | * * * * * * * * * * * 960 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1 oh&#q sefa( . s . *b3s3s ) | 3 | 0 0 0 1 0 0 0 0 1 1 | * * * * * * * * * * * * 960 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1 oq&#h sefa( . . s 2 s3s ) | 3 | 0 0 0 0 1 1 0 0 0 1 | * * * * * * * * * * * * * 960 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 oh&#q ---------------------+-----+-----------------------------------------+---------------------------------------------------------+---------------------------------------------------------+------------------- s3s3s . . | 12 | 6 0 0 0 0 0 12 12 0 0 | 4 4 0 0 12 0 0 0 0 0 0 0 0 0 | 80 * * * * * * * * * * * * * * | 1 1 0 0 0 0 pyritohedral ike variant s3s . *b3s . | 12 | 0 6 0 0 0 0 12 0 12 0 | 4 0 4 0 0 12 0 0 0 0 0 0 0 0 | * 80 * * * * * * * * * * * * * | 1 0 1 0 0 0 pyritohedral ike variant s3s 2 . s | 6 | 0 0 3 3 0 0 6 0 0 0 | 2 0 0 0 0 0 6 0 0 0 0 0 0 0 | * * 160 * * * * * * * * * * * * | 0 1 1 0 0 0 triangular antiprism s 2 s 2 s . | 4 | 2 2 0 0 2 0 0 0 0 0 | 0 0 0 0 0 0 0 4 0 0 0 0 0 0 | * * * 240 * * * * * * * * * * * | 1 0 0 1 0 0 q-tetrahedra s 2 s 2 . s | 4 | 2 0 2 0 0 2 0 0 0 0 | 0 0 0 0 0 0 0 0 4 0 0 0 0 0 | * * * * 240 * * * * * * * * * * | 0 1 0 1 0 0 q-tetrahedra s . 2 s3s | 6 | 0 3 3 0 0 0 0 0 0 6 | 0 0 0 2 0 0 0 0 0 6 0 0 0 0 | * * * * * 160 * * * * * * * * * | 0 0 1 1 0 0 triangular antiprism . s3s *b3s . | 12 | 0 0 0 0 6 0 0 12 12 0 | 0 4 4 0 0 0 0 0 0 0 12 0 0 0 | * * * * * * 80 * * * * * * * * | 1 0 0 0 1 0 pyritohedral ike variant . s3s 2 . s | 6 | 0 0 0 3 0 3 0 6 0 0 | 0 2 0 0 0 0 0 0 0 0 0 6 0 0 | * * * * * * * 160 * * * * * * * | 0 1 0 0 1 0 triangular antiprism . s . *b3s3s | 12 | 0 0 0 6 0 0 0 0 12 12 | 0 0 4 4 0 0 0 0 0 0 0 0 12 0 | * * * * * * * * 80 * * * * * * | 0 0 1 0 1 0 pyritohedral ike variant . . s 2 s3s | 6 | 0 0 0 0 3 3 0 0 0 6 | 0 0 0 2 0 0 0 0 0 0 0 0 0 6 | * * * * * * * * * 160 * * * * * | 0 0 0 1 1 0 triangular antiprism sefa( s3s3s *c3s . ) | 4 | 1 1 0 0 1 0 1 1 1 0 | 0 0 0 0 1 1 0 1 0 0 1 0 0 0 | * * * * * * * * * * 960 * * * * | 1 0 0 0 0 1 trigonal pyramid sefa( s3s3s 2 s ) | 4 | 1 0 1 1 0 1 1 1 0 0 | 0 0 0 0 1 0 1 0 1 0 0 1 0 0 | * * * * * * * * * * * 960 * * * | 0 1 0 0 0 1 pyramid above isot sefa( s3s . *c3s3s ) | 4 | 0 1 1 1 0 0 1 0 1 1 | 0 0 0 0 0 1 1 0 0 1 0 0 1 0 | * * * * * * * * * * * * 960 * * | 0 0 1 0 0 1 chiral digonal antifrustrum (disphenoid) sefa( s 2 s 2 s3s ) | 4 | 1 1 1 0 1 1 0 0 0 1 | 0 0 0 0 0 0 0 1 1 1 0 0 0 1 | * * * * * * * * * * * * * 960 * | 0 0 0 1 0 1 symmetric digonal antifrustrum (disphenoid) sefa( . s3s *c3s3s ) | 4 | 0 0 0 1 1 1 0 1 1 1 | 0 0 0 0 0 0 0 0 0 0 1 1 1 1 | * * * * * * * * * * * * * * 960 | 0 0 0 0 1 1 chiral digonal antifrustrum (disphenoid) ---------------------+-----+-----------------------------------------+---------------------------------------------------------+---------------------------------------------------------+------------------- s3s3s *c3s . | 96 | 48 48 0 0 48 0 96 96 96 0 | 32 32 32 0 96 96 0 96 0 0 96 0 0 0 | 8 8 0 24 0 0 8 0 0 0 96 0 0 0 0 | 10 * * * * * pyritohedral sadi variant s3s3s 2 s | 24 | 12 0 12 12 0 12 24 24 0 0 | 8 8 0 0 24 0 24 0 24 0 0 24 0 0 | 2 0 4 0 6 0 0 4 0 0 0 24 0 0 0 | * 40 * * * * pyritohedral ike antiprism s3s . *c3s3s | 60 | 0 30 30 30 0 0 60 0 60 60 | 20 0 20 20 0 60 60 0 0 60 0 0 60 0 | 0 5 10 0 0 10 0 0 5 0 0 0 60 0 0 | * * 16 * * * snub decachoron s 2 s 2 s3s | 12 | 6 6 6 0 6 6 0 0 0 12 | 0 0 0 4 0 0 0 12 12 12 0 0 0 12 | 0 0 0 3 3 2 0 0 0 2 0 0 0 12 0 | * * * 80 * * 2-3-duoantiprism . s3s *c3s3s | 60 | 0 0 0 30 30 30 0 60 60 60 | 0 20 20 20 0 0 0 0 0 0 60 60 60 60 | 0 0 0 0 0 0 5 10 5 10 0 0 0 0 60 | * * * * 16 * snub decachoron sefa( s3s3s *b3s3s ) | 5 | 1 1 1 1 1 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 | * * * * * 960 pentachoron variant starting figure: x3x3x *b3x3x
© 2004-2024 | top of page |