Acronym | ..., 10Y4-8T-0 |
Name | parallelly oct dissected octet |
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Pattern (fundamental domain) |
u Vertices: /|\ u = vertices within lower trat plane / c \ o = vertices within upper trat plane b _o_ b /_d/N\d_\ Edges: u--/-a-\--u a = {4}-inc. trat-edges |\b N b/| b = not {4}-inc. trat-edges c/b N b\c c = {4}-inc. lace-edges o-_--a--_-o d = not {4}-inc. lace-edges \ d\N/d / b u b Triangles: \ | / 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 octet by bisecting all of the octs into pairs of squippies with parallel planes.
Similarily it is related to s∞o2s4x4s (in its rescaled (x,x,u) variant), as the biwedges therefrom then can be dissected into 4 squippies plus 2 tets each and the rectas can then be dissected into 4 squippies plus 5 tets each.
Further it can be derived from 5Y4-4T-6P3-tri-0 by withdrawing the elongating layers of trips.
Finally it allows for gyrations at one set of parallel trat sections in steps of k×60° (k = 1, 2, 3), where for k = 1 and 2 (i.e. the true gyrations) two different staggering modes would exist: the 2-periodic alternating mode resp. the 6- resp. 3-periodic helical mode.
(N→∞) – seen perpendicular to squat N | 8 4 | 24 4 | 8 10 --+-------+------+------ 2 | 4N * | 4 0 | 2 2 lacings: b, d 2 | * 2N | 4 2 | 2 4 square grid: a, c --+-------+------+------ 3 | 2 1 | 8N * | 1 1 4 | 0 4 | * N | 0 2 --+-------+------+------ 4 | 4 2 | 4 0 | 2N * tet 5 | 4 4 | 4 1 | * 2N squippy
(N→∞) – seen perpendicular to trat N | 2 4 2 4 | 6 6 12 4 | 8 10 --+-----------+------------+------ 2 | N * * * | 2 2 0 2 | 2 4 a 2 | * 2N * * | 2 0 2 0 | 2 2 b 2 | * * N * | 0 0 4 2 | 2 4 c 2 | * * * 2N | 0 2 2 0 | 2 2 d --+-----------+------------+------ 3 | 1 2 0 0 | 2N * * * | 1 1 abb-N 3 | 1 0 0 2 | * 2N * * | 1 1 add 3 | 0 1 1 1 | * * 4N * | 1 1 bcd 4 | 2 0 2 0 | * * * N | 0 2 acac --+-----------+------------+------ 4 | 1 2 1 2 | 1 1 2 0 | 2N * tet 5 | 2 2 2 2 | 1 1 2 1 | * 2N squippy
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