Acronym | ditdap |
Name |
digon-triangle duoantiprism, hemiated shiddip |
© | |
Circumradius | sqrt[A2/2+B2] |
Face vector | 12, 42, 52, 22 |
Confer | |
External links |
These isogonal polychora are obtained by hemiation of some semi-uniform shiddip variant with A-sized squares and B-sized hexagons. But because of lower degree of freedom the three resulting edge sizes A*sqrt(2), B*sqrt(3), sqrt(A2+B2) cannot be made all alike.
Special variants:
Incidence matrix according to Dynkin symbol
s4o2s6o demi( . . . . ) | 12 | 1 4 2 | 1 6 6 | 2 2 4 ----------------+----+---------+---------+------- s4o . . | 2 | 6 * * | 0 4 0 | 2 0 2 q s 2 s . | 2 | * 24 * | 0 2 2 | 1 1 2 q sefa( . . s6o ) | 2 | * * 12 | 1 0 2 | 0 2 1 h ----------------+----+---------+---------+------- . . s6o | 3 | 0 0 3 | 4 * * | 0 2 0 h3o sefa( s4o2s . ) | 3 | 1 2 0 | * 24 * | 1 0 1 q3o sefa( s 2 s6o ) | 3 | 0 2 1 | * * 24 | 0 1 1 oh&#q ----------------+----+---------+---------+------- s4o2s . | 4 | 2 4 0 | 0 4 0 | 6 * * q3o3o (red) s 2 s6o | 6 | 0 6 6 | 2 0 6 | * 4 * ho3oh&#q (blue) sefa( s4o2s6o ) | 4 | 1 4 1 | 0 2 2 | * * 12 qo2oh&#q (yellow) starting figure: x4o x6o
s4o2s3s demi( . . . . ) | 12 | 1 4 2 | 1 6 6 | 2 2 4 ------------------+----+----------+---------+------- s4o . . | 2 | 6 * * | 0 4 0 | 2 0 2 A*sqrt(2) s 2 s . & | 2 | * 24 * | 0 2 2 | 1 1 2 sqrt(A2+B2) sefa( . . s3s ) | 2 | * * 12 | 1 0 2 | 0 2 1 B*x(2n) ------------------+----+----------+---------+------- . s3s | 3 | 0 0 3 | 4 * * | 0 2 0 sefa( s4o2s . ) & | 3 | 1 2 0 | * 24 * | 1 0 1 sefa( s 2 s3s ) | 3 | 0 2 1 | * * 24 | 0 1 1 ------------------+----+----------+---------+------- s4o2s . & | 4 | 2 4 0 | 0 4 0 | 6 * * 2ap (red) s 2 s3s | 6 | 0 6 6 | 2 0 6 | * 4 * 3ap (blue) sefa( s4o2s3s ) | 4 | 1 4 1 | 0 2 2 | * * 12 disphenoid (yellow) starting figure: x4o x3x
s2s2s3s demi( . . . . ) | 12 | 1 4 2 | 6 6 1 | 2 4 2 ------------------+----+---------+---------+------- s2s . . | 2 | 6 * * | 4 0 0 | 2 2 0 A*q s 2 s . & | 2 | * 24 * | 2 2 0 | 1 2 1 sqrt(A2+B2) sefa( . . s3s ) | 2 | * * 12 | 0 2 1 | 0 1 2 B*h ------------------+----+---------+---------+------- sefa( s2s2s . ) & | 3 | 1 2 0 | 24 * * | 1 1 0 sefa( . s2s3s ) & | 3 | 0 2 1 | * 24 * | 0 1 1 . s3s | 3 | 0 0 3 | * * 4 | 0 0 2 ------------------+----+---------+---------+------- s2s2s . & | 4 | 2 4 0 | 4 0 0 | 6 * * 2ap (red) sefa( s2s2s3s ) | 4 | 1 4 1 | 2 2 0 | * 12 * disphenoid (yellow) . s2s3s & | 6 | 0 6 6 | 0 6 2 | * * 4 3ap (blue) starting figure: x x x3x
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