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
```