Acronym | bimtich |
Name | bimesotruncatocubic honeycomb |
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This isogonal honeycomb cannot be made uniform, i.e. having all 3 edge types at the same size.
Squares and trapezia here are coplanar. The angles of the latter are 45° resp. 135°.
Incidence matrix according to Dynkin symbol
oo4ab3ba3oo&#zc → height = 0 a < b c = |a-b|/sqrt(2) (N → ∞) o.4o.3o.4o. & | 12N | 2 2 1 | 1 4 4 | 2 4 ------------------+-----+------------+-----------+----- .. a. .. .. & | 2 | 12N * * | 1 2 1 | 2 2 .. .. b. .. & | 2 | * 12N * | 0 2 1 | 1 2 oo4oo3oo4oo&#c | 2 | * * 6N | 0 0 4 | 0 4 ------------------+-----+------------+-----------+----- o.4a. .. .. & | 4 | 4 0 0 | 3N * * | 2 0 .. a.3b. .. & | 6 | 3 3 0 | * 8N * | 1 1 .. ab .. ..&#c & | 4 | 1 1 2 | * * 12N | 0 2 ------------------+-----+------------+-----------+----- o.4a.3b. .. & | 24 | 24 12 0 | 6 8 0 | N * toe variant .. ab3ba ..&#c | 12 | 6 6 6 | 0 2 6 | * 4N ditra
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