Acronym | ..., 5Y4-4T-6P3-tri-1-hel |
Name | trat-elongated 10Y4-8T-1-hel |
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Pattern (fundamental domain of non-prismatic layers) |
u Vertices: /|\ u = vertices within lower trat plane / c \ o = vertices within upper trat plane a'_o_ b /_d/T\d_\ Edges: u--/-a-\--u a = {4}-inc. trat-edges / a' = P3-separated from a-edge of next layer |\b Y a'/| b = not {4}-inc. trat-edges c/b Y a'\c c = {4}-inc. lace-edges o-_--a--_-o d = not {4}-inc. lace-edges \ d\T/d / a' u b Prism layers: \ | / N = betw. T and Y4 \c/ Y = betw. Y4 and Y4 o T = betw. T and T |
Confer |
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External links |
This scaliform honeycomb is derived from 10Y4-8T-1-hel by introducing elongating layers of trip at the parallel trat sections.
Further it occurs as gyration within the parallel trip layers of 5Y4-4T-6P3-tri-0 in steps of 1×60° using the 6-periodic helical staggering mode.
(N→∞) 2N | 2 2 2 1 2 1 | 3 3 3 3 3 2 4 2 | 4 5 3 3 ---+-----------------+-----------------------+---------- 2 | 2N * * * * * | 1 1 0 0 1 1 1 0 | 1 2 1 1 a inc. to skew {4} 2 | * 2N * * * * | 1 1 1 0 0 0 1 0 | 1 1 1 1 a' not inc. to skew {4} 2 | * * 2N * * * | 1 1 0 1 0 0 0 1 | 1 1 1 1 b 2 | * * * N * * | 0 0 2 2 0 2 0 0 | 2 4 0 0 c 2 | * * * * 2N * | 0 0 1 1 2 0 0 0 | 2 2 0 0 d 2 | * * * * * N | 0 0 0 0 0 0 4 2 | 0 0 3 3 e prism-lacing ---+-----------------+-----------------------+---------- 3 | 1 1 1 0 0 0 | 2N * * * * * * * | 1 0 1 0 aa'b-T 3 | 1 1 1 0 0 0 | * 2N * * * * * * | 0 1 0 1 aa'b-Y 3 | 0 1 0 1 1 0 | * * 2N * * * * * | 1 1 0 0 a'cd 3 | 0 0 1 1 1 0 | * * * 2N * * * * | 1 1 0 0 bcd 3 | 1 0 0 0 2 0 | * * * * 2N * * * | 1 1 0 0 add 4 | 2 0 0 2 0 0 | * * * * * N * * | 0 2 0 0 acac 4 | 1 1 0 0 0 2 | * * * * * * 2N * | 0 0 1 1 aea'e 4 | 0 0 2 0 0 2 | * * * * * * * N | 0 0 1 1 bebe ---+-----------------+-----------------------+---------- 4 | 1 1 1 1 2 0 | 1 0 1 1 1 0 0 0 | 2N * * * tet 5 | 2 1 1 2 2 0 | 0 1 1 1 1 1 0 0 | * 2N * * squippy 6 | 2 2 2 0 0 3 | 2 0 0 0 0 0 2 1 | * * N * trip-T 6 | 2 2 2 0 0 3 | 0 2 0 0 0 0 2 1 | * * * N trip-Y
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