Acronym ..., 5Y4-4T-6P3-tri-0
Name trat-elongated 10Y4-8T-0
 
 ©
Pattern
(fundamental domain of non-prismatic layers)
     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      Prism layers:
   \ | /       N = betw. T and Y4
    \c/        Y = betw. Y4 and Y4
     o         T = betw. T and T
Confer
uniform relative:
etoh  
related CRF honeycombs:
10Y4-8T-0   5Y4-4T-6P3-tri-1-alt   5Y4-4T-6P3-tri-1-hel (r/l)   5Y4-4T-6P3-tri-2-alt   5Y4-4T-6P3-tri-2-hel (r/l)   5Y4-4T-6P3-tri-3  
External
links
mcneill

This scaliform honeycomb is derived from etoh by bisecting all of the octs into pairs of squippies with parallel planes.

Further it can be derived from 10Y4-8T-0 by introducing elongating layers of trip at one set of parallel trat sections.

Finally it allows for gyrations within the parallel trip layers 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.


Incidence matrix

(N→∞)

2N |  2  4 1  2 1 |  3  3  3  6 2 2  4 |  4  5  6
---+--------------+--------------------+---------
 2 | 2N  * *  * * |  1  1  1  0 1 1  0 |  1  2  2  a
 2 |  * 4N *  * * |  1  1  0  1 0 0  1 |  1  1  2  b
 2 |  *  * N  * * |  0  0  0  4 2 0  0 |  2  4  0  c
 2 |  *  * * 2N * |  0  0  2  2 0 0  0 |  2  2  0  d
 2 |  *  * *  * N |  0  0  0  0 0 2  4 |  0  0  6  e prism-lacing
---+--------------+--------------------+---------
 3 |  1  2 0  0 0 | 2N  *  *  * * *  * |  1  0  1  abb-T
 3 |  1  2 0  0 0 |  * 2N  *  * * *  * |  0  1  1  abb-Y
 3 |  1  0 0  2 0 |  *  * 2N  * * *  * |  1  1  0  add
 3 |  0  1 1  1 0 |  *  *  * 4N * *  * |  1  1  0  bcd
 4 |  2  0 2  0 0 |  *  *  *  * N *  * |  0  2  0  acac
 4 |  2  0 0  0 2 |  *  *  *  * * N  * |  0  0  2  aeae
 4 |  0  2 0  0 2 |  *  *  *  * * * 2N |  0  0  2  bebe
---+--------------+--------------------+---------
 4 |  1  2 1  2 0 |  1  0  1  2 0 0  0 | 2N  *  *  tet
 5 |  2  2 2  2 0 |  0  1  1  2 1 0  0 |  * 2N  *  squippy
 6 |  2  4 0  0 3 |  1  1  0  0 0 1  2 |  *  * 2N  trip-N

© 2004-2018
top of page