| Acronym | trisqdip |
| Name |
trisquare duoprism, compound of 9 tes in twaddip army |
| Coxeter symbol | {12}x{12}[9{4,3,3}] |
| Circumradius | 1 |
| Pattern |
a---b---c---a---b---c---a---b---c---a---b---c--- | | | | | | | | | | | | d---e---f---d---e---f---d---e---f---d---e---f--- | | | | | | | | | | | | g---h---i---g---h---i---g---h---i---g---h---i--- | | | | | | | | | | | | a---b---c---a---b---c---a---b---c---a---b---c--- | | | | | | | | | | | | d---e---f---d---e---f---d---e---f---d---e---f--- | | | | | | | | | | | | g---h---i---g---h---i---g---h---i---g---h---i--- | | | | | | | | | | | | a---b---c---a---b---c---a---b---c---a---b---c--- | | | | | | | | | | | | d---e---f---d---e---f---d---e---f---d---e---f--- | | | | | | | | | | | | g---h---i---g---h---i---g---h---i---g---h---i--- | | | | | | | | | | | | a---b---c---a---b---c---a---b---c---a---b---c--- | | | | | | | | | | | | d---e---f---d---e---f---d---e---f---d---e---f--- | | | | | | | | | | | | g---h---i---g---h---i---g---h---i---g---h---i--- | | | | | | | | | | | | |
Comes in 2 types, depending on the triples of coplanar squares: being counted separately (type A) or being combined to compounds (trisqs) as well (type B).
Incidence matrix according to Dynkin symbol
(Type A: no identifications) 144 | 4 | 4 2 | 4 || 1 ----+-----+--------+----++-- 2 | 288 | 2 1 | 3 || 1 ----+-----+--------+----++-- 4 | 4 | 144 * | 2 || 1 within pattern plane 4 | 4 | * 72 | 2 || 1 orthogonal to pattern plane ----+-----+--------+----++-- 8 | 12 | 4 2 | 72 || 1 cube ----+-----+--------+----++-- 16 | 32 | 16 8 | 8 || 9 tes
(Type B: compounded squares)
144 | 4 | 4 2 | 4 || 1
----+-----+--------+----++--
2 | 288 | 2 1 | 3 || 1
----+-----+--------+----++--
4 | 4 | 144 * | 2 || 1 within pattern plane
12 | 12 | * 24 | 2 || 3 trisq (3{4}-comp.)
----+-----+--------+----++--
24 | 36 | 12 2 | 24 || 3 (3{4}-comp.)-prism
----+-----+--------+----++--
16 | 32 | 16 8 | 8 || 9 tes
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