| Acronym | snicsnid |
| Name | snub-cube - snub-dodecahedron duoprism |
| Circumradius | sqrt[(47+7 sqrt(5)+2 cbrt[199+3 sqrt(33)]+2 cbrt[199-3 sqrt(33)]+cbrt[20448+9140 sqrt(5)+12 sqrt(7137+3192 sqrt(5))]+cbrt[20448+9140 sqrt(5)-12 sqrt(7137+3192 sqrt(5))])/24] = 2.540315 |
| Face vector | 1440, 7200, 13488, 11304, 3706, 130 |
Incidence matrix according to Dynkin symbol
s3s4s s3s5s
demi( . . . ) × demi( . . . ) | 1440 | 1 2 2 1 2 2 | 1 1 3 1 2 2 2 4 4 2 4 4 1 1 3 | 1 1 1 3 2 2 6 2 2 6 1 2 2 1 2 2 3 6 6 1 | 1 2 2 1 1 3 1 1 3 3 3 9 1 2 2 | 1 1 3 1 1 3
------------------------------+------+-----------------------------+-------------------------------------------------------------------+-----------------------------------------------------------------------------------+------------------------------------------------------+----------------
demi( . . . ) × s 2 s | 2 | 720 * * * * * | 0 0 2 1 2 2 0 0 0 0 0 0 0 0 0 | 1 0 0 2 0 0 4 0 0 4 1 0 0 1 0 0 3 0 0 0 | 1 2 2 0 0 2 0 0 2 0 0 6 1 0 0 | 1 1 3 0 0 2
demi( . . . ) × sefa( s3s . ) | 2 | * 1440 * * * * | 1 0 1 0 0 0 1 2 2 0 0 0 0 0 0 | 1 1 0 1 2 0 2 2 0 2 0 1 0 0 1 0 0 3 0 0 | 1 2 2 1 0 1 1 0 1 3 0 3 0 1 0 | 1 1 3 1 0 1
demi( . . . ) × sefa( . s5s ) | 2 | * * 1440 * * * | 0 1 1 0 0 0 0 0 0 1 2 2 0 0 0 | 1 0 1 1 0 2 2 0 2 2 0 0 1 0 0 1 0 0 3 0 | 1 2 2 0 1 1 0 1 1 0 3 3 0 0 1 | 1 1 3 0 1 1
s 2 s × demi( . . . ) | 2 | * * * 720 * * | 0 0 0 1 0 0 2 0 0 2 0 0 0 0 2 | 0 1 1 3 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 1 | 1 0 0 0 0 0 0 0 0 2 2 6 1 2 2 | 0 0 2 1 1 3
sefa( s3s . ) × demi( . . . ) | 2 | * * * * 1440 * | 0 0 0 0 1 0 0 2 0 0 2 0 1 0 1 | 0 0 0 0 1 1 3 0 0 0 1 2 2 0 0 0 1 2 2 1 | 0 1 0 1 1 3 0 0 0 1 1 3 1 2 2 | 1 0 1 1 1 3
sefa( . s4s ) × demi( . . . ) | 2 | * * * * * 1440 | 0 0 0 0 0 1 0 0 2 0 0 2 0 1 1 | 0 0 0 0 0 0 0 1 1 3 0 0 0 1 2 2 1 2 2 1 | 0 0 1 0 0 0 1 1 3 1 1 3 1 2 2 | 0 1 1 1 1 3
------------------------------+------+-----------------------------+-------------------------------------------------------------------+-----------------------------------------------------------------------------------+------------------------------------------------------+----------------
demi( . . . ) × s3s . | 3 | 0 3 0 0 0 0 | 480 * * * * * * * * * * * * * * | 1 1 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 1 0 0 1 0 0 3 0 0 0 0 0 | 1 1 3 1 0 0
demi( . . . ) × . s5s | 5 | 0 0 5 0 0 0 | * 288 * * * * * * * * * * * * * | 1 0 1 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 0 1 0 0 1 0 0 3 0 0 0 0 | 1 1 3 0 1 0
demi( . . . ) × sefa( s3s5s ) | 3 | 1 1 1 0 0 0 | * * 1440 * * * * * * * * * * * * | 1 0 0 1 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 | 1 2 2 0 0 1 0 0 1 0 0 3 0 0 0 | 1 1 3 0 0 1
s 2 s × s 2 s | 4 | 2 0 0 2 0 0 | * * * 360 * * * * * * * * * * * | 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 | 1 0 0 0 0 0 0 0 0 0 0 2 1 0 0 | 0 0 2 0 0 2
s 2 s × sefa( s3s . ) | 4 | 2 0 0 0 2 0 | * * * * 720 * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 | 1 0 0 0 0 0 0 0 0 2 0 2 0 1 0 | 0 0 2 1 0 1
s 2 s × sefa( . s5s ) | 4 | 2 0 0 0 0 2 | * * * * * 720 * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 | 1 0 0 0 0 0 0 0 0 0 2 2 0 0 1 | 0 0 2 0 1 1
sefa( s3s . ) × s 2 s | 4 | 0 2 0 2 0 0 | * * * * * * 720 * * * * * * * * | 0 0 0 0 0 0 2 0 0 0 1 0 0 0 0 0 1 0 0 0 | 0 1 0 0 0 2 0 0 0 0 0 2 1 0 0 | 1 0 1 0 0 2
sefa( s3s . ) × sefa( s3s . ) | 4 | 0 2 0 0 2 0 | * * * * * * * 1440 * * * * * * * | 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 | 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 | 1 0 1 1 0 1
sefa( s3s . ) × sefa( . s5s ) | 4 | 0 2 0 0 0 2 | * * * * * * * * 1440 * * * * * * | 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 | 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 | 1 0 1 0 1 1
sefa( . s4s ) × s 2 s | 4 | 0 0 2 2 0 0 | * * * * * * * * * 720 * * * * * | 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 0 1 0 0 0 | 0 0 1 0 0 0 0 0 2 0 0 2 1 0 0 | 0 1 1 0 0 2
sefa( . s4s ) × sefa( s3s . ) | 4 | 0 0 2 0 2 0 | * * * * * * * * * * 1440 * * * * | 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 | 0 0 1 0 0 0 1 0 1 1 0 1 0 1 0 | 0 1 1 1 0 1
sefa( . s4s ) × sefa( . s5s ) | 4 | 0 0 2 0 0 2 | * * * * * * * * * * * 1440 * * * | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 | 0 0 1 0 0 0 0 1 1 0 1 1 0 0 1 | 0 1 1 0 1 1
s3s . × demi( . . . ) | 3 | 0 0 0 0 3 0 | * * * * * * * * * * * * 480 * * | 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 1 | 0 0 0 1 1 3 0 0 0 0 0 0 1 2 2 | 1 0 0 1 1 3
. s4s × demi( . . . ) | 4 | 0 0 0 0 0 4 | * * * * * * * * * * * * * 360 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 1 | 0 0 0 0 0 0 1 1 3 0 0 0 1 2 2 | 0 1 0 1 1 3
sefa( s3s4s ) × demi( . . . ) | 3 | 0 0 0 1 1 1 | * * * * * * * * * * * * * * 1440 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 | 0 0 0 0 0 0 0 0 0 1 1 3 1 2 2 | 0 0 1 1 1 3
------------------------------+------+-----------------------------+-------------------------------------------------------------------+-----------------------------------------------------------------------------------+------------------------------------------------------+----------------
demi( . . . ) × s3s5s ♦ 60 | 30 60 60 0 0 0 | 20 12 60 0 0 0 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * * * * * * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 3 0 0 0
s 2 s × s3s . ♦ 6 | 0 6 0 3 0 0 | 2 0 0 0 3 0 0 0 0 0 0 0 0 0 0 | * 240 * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 | 0 0 2 1 0 0
s 2 s × . s5s ♦ 10 | 0 0 10 5 0 0 | 0 2 0 0 0 5 0 0 0 0 0 0 0 0 0 | * * 144 * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 | 0 0 2 0 1 0
s 2 s × sefa( s3s5s ) ♦ 6 | 2 2 2 3 0 0 | 0 0 2 1 1 1 0 0 0 0 0 0 0 0 0 | * * * 720 * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 | 0 0 2 0 0 1
sefa( s3s . ) × s3s . ♦ 6 | 0 6 0 0 3 0 | 2 0 0 0 0 0 0 3 0 0 0 0 0 0 0 | * * * * 480 * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 1 0 1 1 0 0
sefa( s3s . ) × . s5s ♦ 10 | 0 0 10 0 5 0 | 0 2 0 0 0 0 0 0 5 0 0 0 0 0 0 | * * * * * 288 * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 | 1 0 1 0 1 0
sefa( s3s . ) × sefa( s3s5s ) ♦ 6 | 2 2 2 0 3 0 | 0 0 2 0 0 0 1 1 1 0 0 0 0 0 0 | * * * * * * 1440 * * * * * * * * * * * * * | 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 | 1 0 1 0 0 1
sefa( . s4s ) × s3s . ♦ 6 | 0 6 0 0 0 3 | 2 0 0 0 0 0 0 0 0 0 3 0 0 0 0 | * * * * * * * 480 * * * * * * * * * * * * | 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 | 0 1 1 1 0 0
sefa( . s4s ) × . s5s ♦ 10 | 0 0 10 0 0 5 | 0 2 0 0 0 0 0 0 0 0 0 5 0 0 0 | * * * * * * * * 288 * * * * * * * * * * * | 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 | 0 1 1 0 1 0
sefa( . s4s ) × sefa( s3s5s ) ♦ 6 | 2 2 2 0 0 3 | 0 0 2 0 0 0 0 0 0 1 1 1 0 0 0 | * * * * * * * * * 1440 * * * * * * * * * * | 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 | 0 1 1 0 0 1
s3s . × s 2 s ♦ 6 | 3 0 0 0 6 0 | 0 0 0 0 0 0 3 0 0 0 0 0 2 0 0 | * * * * * * * * * * 240 * * * * * * * * * | 0 0 0 0 0 2 0 0 0 0 0 0 1 0 0 | 1 0 0 0 0 2
s3s . × sefa( s3s . ) ♦ 6 | 0 3 0 0 6 0 | 0 0 0 0 0 0 0 3 0 0 0 0 2 0 0 | * * * * * * * * * * * 480 * * * * * * * * | 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 | 1 0 0 1 0 1
s3s . × sefa( . s5s ) ♦ 6 | 0 0 3 0 6 0 | 0 0 0 0 0 0 0 0 3 0 0 0 2 0 0 | * * * * * * * * * * * * 480 * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 | 1 0 0 0 1 1
. s4s × s 2 s ♦ 8 | 4 0 0 0 0 8 | 0 0 0 0 0 0 0 0 0 4 0 0 0 2 0 | * * * * * * * * * * * * * 180 * * * * * * | 0 0 0 0 0 0 0 0 2 0 0 0 1 0 0 | 0 1 0 0 0 2
. s4s × sefa( s3s . ) ♦ 8 | 0 4 0 0 0 8 | 0 0 0 0 0 0 0 0 0 0 4 0 0 2 0 | * * * * * * * * * * * * * * 360 * * * * * | 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 | 0 1 0 1 0 1
. s4s × sefa( . s5s ) ♦ 8 | 0 0 4 0 0 8 | 0 0 0 0 0 0 0 0 0 0 0 4 0 2 0 | * * * * * * * * * * * * * * * 360 * * * * | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 | 0 1 0 0 1 1
sefa( s3s4s ) × s 2 s ♦ 6 | 3 0 0 2 2 2 | 0 0 0 1 0 0 1 0 0 1 0 0 0 0 2 | * * * * * * * * * * * * * * * * 720 * * * | 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 | 0 0 1 0 0 2
sefa( s3s4s ) × sefa( s3s . ) ♦ 6 | 0 3 0 2 2 2 | 0 0 0 0 1 0 0 1 0 0 1 0 0 0 2 | * * * * * * * * * * * * * * * * * 1440 * * | 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 | 0 0 1 1 0 1
sefa( s3s4s ) × sefa( . s5s ) ♦ 6 | 0 0 3 2 2 2 | 0 0 0 0 0 1 0 0 1 0 0 1 0 0 2 | * * * * * * * * * * * * * * * * * * 1440 * | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 | 0 0 1 0 1 1
s3s4s × demi( . . . ) ♦ 24 | 0 0 0 12 24 24 | 0 0 0 0 0 0 0 0 0 0 0 0 8 6 24 | * * * * * * * * * * * * * * * * * * * 60 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 | 0 0 0 1 1 3
------------------------------+------+-----------------------------+-------------------------------------------------------------------+-----------------------------------------------------------------------------------+------------------------------------------------------+----------------
s 2 s × s3s5s ♦ 120 | 60 120 120 60 0 0 | 40 24 120 30 60 60 0 0 0 0 0 0 0 0 0 | 2 20 12 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12 * * * * * * * * * * * * * * | 0 0 2 0 0 0
sefa( s3s . ) × s3s5s ♦ 120 | 60 120 120 0 60 0 | 40 24 120 0 0 0 30 60 60 0 0 0 0 0 0 | 2 0 0 0 20 12 60 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 24 * * * * * * * * * * * * * | 1 0 1 0 0 0
sefa( . s4s ) × s3s5s ♦ 120 | 60 120 120 0 0 60 | 40 24 120 0 0 0 0 0 0 30 60 60 0 0 0 | 2 0 0 0 0 0 0 20 12 60 0 0 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * * * * | 0 1 1 0 0 0
s3s . × s3s . ♦ 9 | 0 9 0 0 9 0 | 3 0 0 0 0 0 0 9 0 0 0 0 3 0 0 | 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 | * * * 160 * * * * * * * * * * * | 1 0 0 1 0 0
s3s . × . s5s ♦ 15 | 0 0 15 0 15 0 | 0 3 0 0 0 0 0 0 15 0 0 0 5 0 0 | 0 0 0 0 0 3 0 0 0 0 0 0 5 0 0 0 0 0 0 0 | * * * * 96 * * * * * * * * * * | 1 0 0 0 1 0
s3s . × sefa( s3s5s ) ♦ 9 | 3 3 3 0 9 0 | 0 0 3 0 0 0 3 3 3 0 0 0 3 0 0 | 0 0 0 0 0 0 3 0 0 0 1 1 1 0 0 0 0 0 0 0 | * * * * * 480 * * * * * * * * * | 1 0 0 0 0 1
. s4s × s3s . ♦ 12 | 0 12 0 0 0 12 | 4 0 0 0 0 0 0 0 0 0 12 0 0 3 0 | 0 0 0 0 0 0 0 4 0 0 0 0 0 0 3 0 0 0 0 0 | * * * * * * 120 * * * * * * * * | 0 1 0 1 0 0
. s4s × . s5s ♦ 20 | 0 0 20 0 0 20 | 0 4 0 0 0 0 0 0 0 0 0 20 0 5 0 | 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 5 0 0 0 0 | * * * * * * * 72 * * * * * * * | 0 1 0 0 1 0
. s4s × sefa( s3s5s ) ♦ 12 | 4 4 4 0 0 12 | 0 0 4 0 0 0 0 0 0 4 4 4 0 3 0 | 0 0 0 0 0 0 0 0 0 4 0 0 0 1 1 1 0 0 0 0 | * * * * * * * * 360 * * * * * * | 0 1 0 0 0 1
sefa( s3s4s ) × s3s . ♦ 9 | 0 9 0 3 3 3 | 3 0 0 0 3 0 0 3 0 0 3 0 0 0 3 | 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 3 0 0 | * * * * * * * * * 480 * * * * * | 0 0 1 1 0 0
sefa( s3s4s ) × . s5s ♦ 15 | 0 0 15 5 5 5 | 0 3 0 0 0 5 0 0 5 0 0 5 0 0 5 | 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 5 0 | * * * * * * * * * * 288 * * * * | 0 0 1 0 1 0
sefa( s3s4s ) × sefa( s3s5s ) ♦ 9 | 3 3 3 3 3 3 | 0 0 3 1 1 1 1 1 1 1 1 1 0 0 3 | 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 | * * * * * * * * * * * 1440 * * * | 0 0 1 0 0 1
s3s4s × s 2 s ♦ 48 | 24 0 0 24 48 48 | 0 0 0 12 0 0 24 0 0 24 0 0 16 12 48 | 0 0 0 0 0 0 0 0 0 0 8 0 0 6 0 0 24 0 0 2 | * * * * * * * * * * * * 30 * * | 0 0 0 0 0 2
s3s4s × sefa( s3s . ) ♦ 48 | 0 24 0 24 48 48 | 0 0 0 0 12 0 0 24 0 0 24 0 16 12 48 | 0 0 0 0 0 0 0 0 0 0 0 8 0 0 6 0 0 24 0 2 | * * * * * * * * * * * * * 60 * | 0 0 0 1 0 1
s3s4s × sefa( . s5s ) ♦ 48 | 0 0 24 24 48 48 | 0 0 0 0 0 12 0 0 24 0 0 24 16 12 48 | 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 6 0 0 24 2 | * * * * * * * * * * * * * * 60 | 0 0 0 0 1 1
------------------------------+------+-----------------------------+-------------------------------------------------------------------+-----------------------------------------------------------------------------------+------------------------------------------------------+----------------
s3s . × s3s5s ♦ 180 | 90 180 180 0 180 0 | 60 36 180 0 0 0 90 180 180 0 0 0 60 0 0 | 3 0 0 0 60 36 180 0 0 0 30 60 60 0 0 0 0 0 0 0 | 0 3 0 20 12 60 0 0 0 0 0 0 0 0 0 | 8 * * * * *
. s4s × s3s5s ♦ 240 | 120 240 240 0 0 240 | 80 48 240 0 0 0 0 0 0 120 240 240 0 60 0 | 4 0 0 0 0 0 0 80 48 240 0 0 0 30 60 60 0 0 0 0 | 0 0 4 0 0 0 20 12 60 0 0 0 0 0 0 | * 6 * * * *
sefa( s3s4s ) × s3s5s ♦ 180 | 90 180 180 60 60 60 | 60 36 180 30 60 60 30 60 60 30 60 60 0 0 60 | 3 20 12 60 20 12 60 20 12 60 0 0 0 0 0 0 30 60 60 0 | 1 1 1 0 0 0 0 0 0 20 12 60 0 0 0 | * * 24 * * *
s3s4s × s3s . ♦ 72 | 0 72 0 36 72 72 | 24 0 0 0 36 0 0 72 0 0 72 0 24 18 72 | 0 12 0 0 24 0 0 24 0 0 0 24 0 0 18 0 0 72 0 3 | 0 0 0 8 0 0 6 0 0 24 0 0 0 3 0 | * * * 20 * *
s3s4s × . s5s ♦ 120 | 0 0 120 60 120 120 | 0 24 0 0 0 60 0 0 120 0 0 120 40 30 120 | 0 0 12 0 0 24 0 0 24 0 0 0 40 0 0 30 0 0 120 5 | 0 0 0 0 8 0 0 6 0 0 24 0 0 0 5 | * * * * 12 *
s3s4s × sefa( s3s5s ) ♦ 72 | 24 24 24 36 72 72 | 0 0 24 12 12 12 24 24 24 24 24 24 24 18 72 | 0 0 0 12 0 0 24 0 0 24 8 8 8 6 6 6 24 24 24 3 | 0 0 0 0 0 8 0 0 6 0 0 24 1 1 1 | * * * * * 60
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