Acronym ..., 10Y4-8T-3
Name 3×60°-gyrated 10Y4-8T-0,
trat-mirrored 10Y4-8T-0
  
 ©
Pattern
(fundamental domain) 
     u         Vertices:
    /|\        u = vertices within lower trat plane
   / c \       o = vertices within upper trat plane
  b _o_ b      
 /_d/T\d_\     Edges:
u--/-a-\--u    a = {4}-inc. trat-edges
|\b  Y  b/|    b = not {4}-inc. trat-edges
c/b  Y  b\c    c = {4}-inc. lace-edges
o-_--a--_-o    d = not {4}-inc. lace-edges
 \ d\T/d /     
  b  u  b      Triangles:
   \ | /       N = betw. T and Y4
    \c/        Y = betw. Y4 and Y4
     o         T = betw. T and T
Confer
uniform relative:
gytoh  
related CRF honeycombs:
ditoh   10Y4-8T-0   10Y4-8T-1-alt   10Y4-8T-1-hel (r/l)   10Y4-8T-2-alt   10Y4-8T-2-hel (r/l)   5Y4-4T-6P3-tri-3  
general polytopal classes:
scaliform  
External
links 		mcneill

This scaliform honeycomb is derived from gytoh by bisecting all of the octs into pairs of squippies with parallel planes in each layer, using mirror symmetry with resp. to the trat sections for layer-wise interrelations.

Further it can be derived from 5Y4-4T-6P3-tri-3 by withdrawing the elongating layers of trips.

Further it occurs as (false) gyration at one set of parallel trat sections of 10Y4-8T-0 in steps of 3×60°; in fact it just is a mirroring in those section planes.


Incidence matrix

(N→∞)

N | 2  4 2  4 | 3 3 12  6 4 |  8 10
--+-----------+-------------+------
2 | N  * *  * | 1 1  0  2 2 |  2  4  a
2 | * 2N *  * | 1 1  2  0 0 |  2  2  b
2 | *  * N  * | 0 0  4  0 2 |  2  4  c
2 | *  * * 2N | 0 0  2  2 0 |  2  2  d
--+-----------+-------------+------
3 | 1  2 0  0 | N *  *  * * |  2  0  abb-T
3 | 1  2 0  0 | * N  *  * * |  0  2  abb-Y
3 | 0  1 1  1 | * * 4N  * * |  1  1  bcd
3 | 1  0 0  2 | * *  * 2N * |  1  1  add
4 | 2  0 2  0 | * *  *  * N |  0  2  acac
--+-----------+-------------+------
4 | 1  2 1  2 | 1 0  2  1 0 | 2N  *  tet
5 | 2  2 2  2 | 0 1  2  1 1 |  * 2N  squippy

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