Acronym | (2,2n)-pap |
Name |
dyad - 2n-gon prismantiprismoid, s2s2s-2n-x, edge-alternated square - 4n-gon duoprism |
Circumradius | ... |
Face vector | 8n, 20n, 18n+4, 6n+4 |
Especially | s2s2s4x (n=2) s2s2s6x (n=3) |
Confer |
|
External links | , e.g. (n = 2) |
These isogonal polychora are obtained by edge alternation of the uniform 4,4n-duoprism (with n > 1).
Incidence matrix according to Dynkin symbol
s2s2s-2n-x (n > 1) demi( . . . . ) | 8n | 1 1 1 1 1 | 1 1 3 2 2 | 1 1 1 3 -------------------+----+----------------+---------------+---------- demi( . . . x ) | 2 | 4n * * * * | 1 1 0 1 1 | 0 1 1 2 x s2s . . | 2 | * 4n * * * | 1 0 2 0 0 | 1 0 0 2 q s 2 s . | 2 | * * 4n * * | 0 0 2 2 0 | 1 1 0 2 q . s2s . | 2 | * * * 4n * | 0 0 2 0 2 | 1 0 1 2 q sefa( . . s-2n-x ) | 2 | * * * * 4n | 0 1 0 1 1 | 0 1 1 1 y = x(4n,3) -------------------+----+----------------+---------------+---------- s2s 2 x | 4 | 2 2 0 0 0 | 2n * * * * | 0 0 0 2 x2q . . s-2n-x | 2n | n 0 0 0 n | * 4 * * * | 0 1 1 0 xny sefa( s2s2s . ) | 3 | 0 1 1 1 0 | * * 8n * * | 1 0 0 1 q3o sefa( s 2 s-2n-x ) | 4 | 1 0 2 0 1 | * * * 4n * | 0 1 0 1 xy&#q sefa( . s2s-2n-x ) | 4 | 1 0 0 2 1 | * * * * 4n | 0 0 1 1 xy&#q -------------------+----+----------------+---------------+---------- s2s2s . | 4 | 0 2 2 2 0 | 0 0 4 0 0 | 2n * * * q-tet s 2 s-2n-x | 4n | 2n 0 2n 0 2n | 0 2 0 2n 0 | * 2 * * di-n-gonal trapezoprism (2n-p variant) . s2s-2n-x | 4n | 2n 0 0 2n 2n | 0 2 0 0 2n | * * 2 * di-n-gonal trapezoprism (2n-p variant) sefa( s2s2s-2n-x ) | 6 | 2 2 2 2 1 | 1 0 2 1 1 | * * * 4n yx2oq&#q, wedge-like trip variant starting figure: x x x-2n-x
s4o2s-2n-x (n > 1) demi( . . . . ) | 8n | 1 1 2 1 | 1 1 3 4 | 1 2 3 -------------------+----+-------------+------------+-------- demi( . . . x ) | 2 | 4n * * * | 1 1 0 2 | 0 2 2 x s4o . . | 2 | * 4n * * | 1 0 2 0 | 1 0 2 q s 2 s . | 2 | * * 8n * | 0 0 2 2 | 1 1 2 q sefa( . . s-2n-x ) | 2 | * * * 4n | 0 1 0 2 | 0 2 1 y = x(4n,3) -------------------+----+-------------+------------+-------- s4o 2 x | 4 | 2 2 0 0 | 2n * * * | 0 0 2 x2q . . s-2n-x | 2n | n 0 0 n | * 4 * * | 0 2 0 xny sefa( s4o2s . ) | 3 | 0 1 2 0 | * * 8n * | 1 0 1 q3o sefa( s 2 s-2n-x ) | 4 | 1 0 2 1 | * * * 8n | 0 1 1 xy&#q -------------------+----+-------------+------------+-------- s4o2s . | 4 | 0 2 4 0 | 0 0 4 0 | 2n * * q-tet s 2 s-2n-x | 4n | 2n 0 2n 2n | 0 2 0 2n | * 4 * di-n-gonal trapezoprism (2n-p variant) sefa( s4o2s-2n-x ) | 6 | 2 2 4 1 | 1 0 2 2 | * * 4n yx2oq&#q, wedge-like trip variant starting figure: x4o x-2n-x
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