Acronym | tabatch |
Name | truncated bitruncated-cubic-honeycomb |
Confer |
Truncation would result in 3 different edge sizes in the outcome isohedral polychoron. That one here is scaled such so that the shorter specified one becomes unity. Then the larger specified edge will have size b=sqrt(3/2). The third one would be the arbitrary expansion size y (wrt. the rectified extremum, i.e. corresponding to the arbitrary truncation depth). In fact, for y=0 this results again in rebatch, while y → ∞ results again in the pre-image batch (rescaled back down accordingly).
Incidence matrix according to Dynkin symbol
xo4ya3ay4ox&#zb (N → ∞) → height = 0, y > 0 (arbitrary expansion size), a = y + 3/sqrt(2) (pseudo), b = sqrt(3/2) = 1.224745 (b-laced tegum sum of 2 inverted (x,y,a)-grichs) o.4o.3o.4o. & | 24N | 1 1 2 | 1 3 2 | 3 1 ------------------+-----+-------------+-----------+----- x. .. .. .. & | 2 | 12N * * | 1 2 0 | 2 1 x .. y. .. .. & | 2 | * 12N * | 1 0 2 | 3 0 y oo4oo3oo4oo&#b | 2 | * * 24N | 0 2 1 | 2 1 b ------------------+-----+-------------+-----------+----- x.4y. .. .. & | 8 | 4 4 0 | 3N * * | 2 0 ditetragon x4y xo .. .. ..&#b & | 3 | 1 0 2 | * 24N * | 1 1 isot ox&#b .. ya3ay ..&#zb | 12 | 0 6 6 | * * 4N | 2 0 dihexagon y6b ------------------+-----+-------------+-----------+----- xo4ya3ay ..&#zb & | 72 | 24 36 48 | 6 24 8 | N * dittoe xo .. .. ox&#b | 4 | 2 0 4 | 0 4 0 | * 6N (x,b)-disphenoid
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