Acronym | squappip, K-4.19 |
Name | square-antiprism prism |
Segmentochoron display | |
Circumradius | sqrt[(6+sqrt(2))/8] = 0.962692 |
Lace city in approx. ASCII-art |
x4o x4o -- x x4o (cube) o4x o4x -- x o4x (gyro cube) | | | +-- s2s4s (squap) +-------- s2s4s (squap) |
Dihedral angles | |
Face vector | 16, 40, 36, 12 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
x s2s4s . demi( . . . ) | 16 | 1 1 1 2 | 1 1 2 1 3 | 1 3 1 ----------------+----+----------+------------+------ x demi( . . . ) | 2 | 8 * * * | 1 1 2 0 0 | 1 3 0 . s2s . | 2 | * 8 * * | 1 0 0 0 2 | 0 2 1 . s 2 s | 2 | * * 8 * | 0 1 0 0 2 | 0 2 1 . sefa( . s4s ) | 2 | * * * 16 | 0 0 1 1 1 | 1 1 1 ----------------+----+----------+------------+------ x s2s . | 4 | 2 2 0 0 | 4 * * * * | 0 2 0 x s 2 s | 4 | 2 0 2 0 | * 4 * * * | 0 2 0 x sefa( . s4s ) | 4 | 2 0 0 2 | * * 8 * * | 1 1 0 . . s4s ♦ 4 | 0 0 0 4 | * * * 4 * | 1 0 1 . sefa( s2s4s ) | 3 | 0 1 1 1 | * * * * 16 | 0 1 1 ----------------+----+----------+------------+------ x . s4s ♦ 8 | 4 0 0 8 | 0 0 4 2 0 | 2 * * x sefa( s2s4s ) ♦ 6 | 3 2 2 2 | 1 1 1 0 2 | * 8 * . s2s4s ♦ 8 | 0 4 4 8 | 0 0 0 2 8 | * * 2
x s2s8o . demi( . . . ) | 16 | 1 2 2 | 2 2 1 3 | 1 3 1 ----------------+----+---------+----------+------ x demi( . . . ) | 2 | 8 * * | 2 2 0 0 | 1 3 0 . s2s . | 2 | * 16 * | 1 0 0 2 | 0 2 1 . sefa( . s8o ) | 2 | * * 16 | 0 1 1 1 | 1 1 1 ----------------+----+---------+----------+------ x s2s . | 4 | 2 2 0 | 8 * * * | 0 2 0 x sefa( . s8o ) | 4 | 2 0 2 | * 8 * * | 1 1 0 . . s8o ♦ 4 | 0 0 4 | * * 4 * | 1 0 1 . sefa( s2s8o ) | 3 | 0 2 1 | * * * 16 | 0 1 1 ----------------+----+---------+----------+------ x . s8o ♦ 8 | 4 0 8 | 0 4 2 0 | 2 * * x sefa( s2s8o ) ♦ 6 | 3 4 2 | 2 1 0 2 | * 8 * . s2s8o ♦ 8 | 0 8 8 | 0 0 2 8 | * * 2
xx xo4ox&#x → height = 1/sqrt(sqrt(2)) = 0.840896
(cube || gyro cube)
o. o.4o. | 8 * | 1 2 2 0 0 | 2 1 2 2 1 0 0 | 1 2 1 1 0
.o .o4.o | * 8 | 0 0 2 1 2 | 0 0 2 1 2 2 1 | 0 1 2 1 1
------------+-----+------------+---------------+----------
x. .. .. | 2 0 | 4 * * * * | 2 0 2 0 0 0 0 | 1 2 1 0 0
.. x. .. | 2 0 | * 8 * * * | 1 1 0 1 0 0 0 | 1 1 0 1 0
oo oo4oo&#x | 1 1 | * * 16 * * | 0 0 1 1 1 0 0 | 0 1 1 1 0
.x .. .. | 0 2 | * * * 4 * | 0 0 2 0 0 2 0 | 0 1 2 0 1
.. .x .. | 0 2 | * * * * 8 | 0 0 0 0 1 1 1 | 0 0 1 1 1
------------+-----+------------+---------------+----------
x. x. .. | 4 0 | 2 2 0 0 0 | 4 * * * * * * | 1 1 0 0 0
.. x.4o. | 4 0 | 0 4 0 0 0 | * 2 * * * * * | 1 0 0 1 0
xx .. ..&#x | 2 2 | 1 0 2 1 0 | * * 8 * * * * | 0 1 1 0 0
.. xo ..&#x | 2 1 | 0 1 2 0 0 | * * * 8 * * * | 0 1 0 1 0
.. .. ox&#x | 1 2 | 0 0 2 0 1 | * * * * 8 * * | 0 0 1 1 0
.x .. .x | 0 4 | 0 0 0 2 2 | * * * * * 4 * | 0 0 1 0 1
.. .o4.x | 0 4 | 0 0 0 0 4 | * * * * * * 2 | 0 0 0 1 1
------------+-----+------------+---------------+----------
x. x.4o. ♦ 8 0 | 4 8 0 0 0 | 4 2 0 0 0 0 0 | 1 * * * *
xx xo ..&#x ♦ 4 2 | 2 2 4 1 0 | 1 0 2 2 0 0 0 | * 4 * * *
xx .. ox&#x ♦ 2 4 | 1 0 4 2 2 | 0 0 2 0 2 1 0 | * * 4 * *
.. xo4ox&#x ♦ 4 4 | 0 4 8 0 4 | 0 1 0 4 4 0 1 | * * * 2 *
.x .o4.x ♦ 0 8 | 0 0 0 4 8 | 0 0 0 0 0 4 2 | * * * * 1
s2s4s || s2s4s → height = 1 (squap || squap) demi( . . . ) | 8 * | 1 1 2 1 0 0 0 | 1 3 1 1 2 0 0 | 1 1 3 0 demi( . . . ) | * 8 | 0 0 0 1 1 1 2 | 0 0 1 1 2 1 3 | 0 1 3 1 ------------------------------+-----+---------------+---------------+-------- s2s . | 2 0 | 4 * * * * * * | 0 2 1 0 0 0 0 | 1 0 1 0 s 2 s | 2 0 | * 4 * * * * * | 0 2 0 1 0 0 0 | 1 0 1 0 sefa( . s4s ) | 2 0 | * * 8 * * * * | 1 1 0 0 1 0 0 | 1 1 1 0 demi( . . . ) || demi( . . . ) | 1 1 | * * * 8 * * * | 0 0 1 1 2 0 0 | 0 1 3 0 s2s . | 0 2 | * * * * 4 * * | 0 0 1 0 0 0 2 | 0 0 2 1 s 2 s | 0 2 | * * * * * 4 * | 0 0 0 1 0 0 2 | 0 0 2 1 sefa( . s4s ) | 0 2 | * * * * * * 8 | 0 0 0 0 1 1 1 | 0 1 1 1 ------------------------------+-----+---------------+---------------+-------- . s4s ♦ 4 0 | 0 0 4 0 0 0 0 | 2 * * * * * * | 1 1 0 0 sefa( s2s4s ) | 3 0 | 1 1 1 0 0 0 0 | * 8 * * * * * | 1 0 1 0 s2s . || s2s . | 2 2 | 1 0 0 2 1 0 0 | * * 4 * * * * | 0 0 2 0 s 2 s || s 2 s | 2 2 | 0 1 0 2 0 1 0 | * * * 4 * * * | 0 0 2 0 sefa( . s4s ) || sefa( . s4s ) | 2 2 | 0 0 1 2 0 0 1 | * * * * 8 * * | 0 1 1 0 . s4s ♦ 0 4 | 0 0 0 0 0 0 4 | * * * * * 2 * | 0 1 0 1 sefa( s2s4s ) | 0 3 | 0 0 0 0 1 1 1 | * * * * * * 8 | 0 0 1 1 ------------------------------+-----+---------------+---------------+-------- s2s4s ♦ 8 0 | 4 4 8 0 0 0 0 | 2 8 0 0 0 0 0 | 1 * * * . s4s || . s4s ♦ 4 4 | 0 0 4 4 0 0 4 | 1 0 0 0 4 1 0 | * 2 * * sefa( s2s4s ) || sefa( s2s4s ) ♦ 3 3 | 1 1 1 3 1 1 1 | 0 1 1 1 1 0 1 | * * 8 * s2s4s ♦ 0 8 | 0 0 0 0 4 4 8 | 0 0 0 0 0 2 8 | * * * 1
s2s8o || s2s8o → height = 1 (squap || squap) demi( . . . ) | 8 * | 2 2 1 0 0 | 1 3 2 2 0 0 | 1 1 3 0 demi( . . . ) | * 8 | 0 0 1 2 2 | 0 0 2 2 1 3 | 0 1 3 1 ------------------------------+-----+-----------+-------------+-------- s2s . | 2 0 | 8 * * * * | 0 2 1 0 0 0 | 1 0 2 0 sefa( . s8o ) | 2 0 | * 8 * * * | 1 1 0 1 0 0 | 1 1 1 0 demi( . . . ) || demi( . . . ) | 1 1 | * * 8 * * | 0 0 2 2 0 0 | 0 1 3 0 s2s . ) | 0 2 | * * * 8 * | 0 0 1 0 0 2 | 0 0 2 1 sefa( . s8o ) | 0 2 | * * * * 8 | 0 0 0 1 1 1 | 0 1 1 1 ------------------------------+-----+-----------+-------------+-------- . s8o ♦ 4 0 | 0 4 0 0 0 | 2 * * * * * | 1 1 0 0 sefa( s2s8o ) | 3 0 | 2 1 0 0 0 | * 8 * * * * | 1 0 1 0 s2s . ) || s2s . ) | 2 2 | 1 0 2 1 0 | * * 8 * * * | 0 0 2 0 sefa( . s8o ) || sefa( . s8o ) | 2 2 | 0 1 2 0 1 | * * * 8 * * | 0 1 1 0 . s8o ♦ 0 4 | 0 0 0 0 4 | * * * * 2 * | 0 1 0 1 sefa( s2s8o ) | 0 3 | 0 0 0 2 1 | * * * * * 8 | 0 0 1 1 ------------------------------+-----+-----------+-------------+-------- s2s8o ♦ 8 0 | 8 8 0 0 0 | 2 8 0 0 0 0 | 1 * * * . s8o || . s8o ♦ 4 4 | 0 4 4 0 4 | 1 0 0 4 1 0 | * 2 * * sefa( s2s8o ) || sefa( s2s8o ) ♦ 3 3 | 2 1 3 2 1 | 0 1 2 1 0 1 | * * 8 * s2s8o ♦ 0 8 | 0 0 0 8 8 | 0 0 0 0 2 8 | * * * 1
© 2004-2024 | top of page |