elongated alternated cubic honeycomb
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©
- related CRF honeycombs:
- gyeditoh 5Y4-4T-6P3-tri-0
links
| Acronym | etoh |
| Name |
elongated tetrahedral-octahedral honeycomb, elongated alternated cubic honeycomb |
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| Confer |
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External links |
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Combining each tet with its adjacent trip into an etripy would result in gyeditoh. – If conversely all octs would be dissected by parallel planes into pairs of squippies, this honeycomb would become 5Y4-4T-6P3-tri-0.
Incidence matrix according to Dynkin symbol
elong( x3o3o *b4o ), elong( x3o3o3o3*a ) (N → ∞) 2N | 3 6 1 | 9 3 3 6 | 4 3 6 ----+---------+-------------+-------- 2 | 3N * * | 4 0 0 0 | 2 2 0 2 | * 6N * | 1 1 1 1 | 1 1 2 2 | * * N | 0 0 0 6 | 0 0 6 ----+---------+-------------+-------- 3 | 2 1 0 | 6N * * * | 1 1 0 3 | 0 3 0 | * 2N * * | 1 0 1 3 | 0 3 0 | * * 2N * | 0 1 1 4 | 0 2 2 | * * * 3N | 0 0 2 ----+---------+-------------+-------- ♦ 4 | 3 3 0 | 3 1 0 0 | 2N * * ♦ 6 | 6 6 0 | 6 0 2 0 | * N * ♦ 6 | 0 6 3 | 0 1 1 3 | * * 2N
:xxoooo:3:ooxxoo:3:ooooxx:3*a&##x (N → ∞) → heights alternatingly = sqrt(2/3) = 0.816497 resp. = 1 o..... 3 o..... 3 o..... 3*a | N * * * * * | 6 1 3 0 0 0 0 0 0 0 0 0 | 3 3 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 .o.... 3 .o.... 3 .o.... 3*a | * N * * * * | 0 1 0 6 3 0 0 0 0 0 0 0 | 0 0 6 0 0 3 3 6 3 0 0 0 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 3 3 1 0 0 0 0 0 0 0 ..o... 3 ..o... 3 ..o... 3*a | * * N * * * | 0 0 0 0 3 6 1 0 0 0 0 0 | 0 0 0 0 0 0 0 3 6 3 3 6 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 3 1 3 3 3 0 0 0 0 0 ...o.. 3 ...o.. 3 ...o.. 3*a | * * * N * * | 0 0 0 0 0 0 1 6 3 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 6 3 3 6 3 0 0 0 0 0 | 0 0 0 0 0 0 0 0 3 3 3 1 3 0 0 ....o. 3 ....o. 3 ....o. 3*a | * * * * N * | 0 0 0 0 0 0 0 0 3 6 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 3 3 6 0 0 | 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 .....o 3 .....o 3 .....o 3*a | * * * * * N | 0 0 3 0 0 0 0 0 0 0 1 6 | 0 0 0 3 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 3 3 | 0 0 1 3 3 0 0 0 0 0 0 0 0 3 3 ---------------------------------+-------------+----------------------------------+----------------------------------------------------+------------------------------ x..... ...... ...... | 2 0 0 0 0 0 | 3N * * * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 oo.... 3 oo.... 3 oo.... 3*a&#x | 1 1 0 0 0 0 | * N * * * * * * * * * * | 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 :o....o:3:o....o:3:o....o:3*a&#x | 1 0 0 0 0 1 | * * 3N * * * * * * * * * | 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 .x.... ...... ...... | 0 2 0 0 0 0 | * * * 3N * * * * * * * * | 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 .oo... 3 .oo... 3 .oo... 3*a&#x | 0 1 1 0 0 0 | * * * * 3N * * * * * * * | 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 1 1 0 0 0 0 0 0 0 ...... ..x... ...... | 0 0 2 0 0 0 | * * * * * 3N * * * * * * | 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 ..oo.. 3 ..oo.. 3 ..oo.. 3*a&#x | 0 0 1 1 0 0 | * * * * * * N * * * * * | 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 ...... ...x.. ...... | 0 0 0 2 0 0 | * * * * * * * 3N * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 ...oo. 3 ...oo. 3 ...oo. 3*a&#x | 0 0 0 1 1 0 | * * * * * * * * 3N * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 ...... ...... ....x. | 0 0 0 0 2 0 | * * * * * * * * * 3N * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 ....oo 3 ....oo 3 ....oo 3*a&#x | 0 0 0 0 1 1 | * * * * * * * * * * N * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 ...... ...... .....x | 0 0 0 0 0 2 | * * * * * * * * * * * 3N | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 | 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 ---------------------------------+-------------+----------------------------------+----------------------------------------------------+------------------------------ x..... 3 o..... ...... | 3 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 | N * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 x..... ...... o..... 3*a | 3 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 | * N * * * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 xx.... ...... ...... &#x | 2 2 0 0 0 0 | 1 2 0 1 0 0 0 0 0 0 0 0 | * * 3N * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 :x....o: :......: :......: &#x | 2 0 0 0 0 1 | 1 0 2 0 0 0 0 0 0 0 0 0 | * * * 3N * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 :......: :......: :o....x: &#x | 1 0 0 0 0 2 | 0 0 2 0 0 0 0 0 0 0 0 1 | * * * * 3N * * * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 .x.... 3 .o.... ...... | 0 3 0 0 0 0 | 0 0 0 3 0 0 0 0 0 0 0 0 | * * * * * N * * * * * * * * * * * * * * * | 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 .x.... ...... .o.... 3*a | 0 3 0 0 0 0 | 0 0 0 3 0 0 0 0 0 0 0 0 | * * * * * * N * * * * * * * * * * * * * * | 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 .xo... ...... ...... &#x | 0 2 1 0 0 0 | 0 0 0 1 2 0 0 0 0 0 0 0 | * * * * * * * 3N * * * * * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 ...... .ox... ...... &#x | 0 1 2 0 0 0 | 0 0 0 0 2 1 0 0 0 0 0 0 | * * * * * * * * 3N * * * * * * * * * * * * | 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 ..o... 3 ..x... ...... | 0 0 3 0 0 0 | 0 0 0 0 0 3 0 0 0 0 0 0 | * * * * * * * * * N * * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 ...... ..x... 3 ..o... | 0 0 3 0 0 0 | 0 0 0 0 0 3 0 0 0 0 0 0 | * * * * * * * * * * N * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 ...... ..xx.. ...... &#x | 0 0 2 2 0 0 | 0 0 0 0 0 1 2 1 0 0 0 0 | * * * * * * * * * * * 3N * * * * * * * * * | 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 ...o.. 3 ...x.. ...... | 0 0 0 3 0 0 | 0 0 0 0 0 0 0 3 0 0 0 0 | * * * * * * * * * * * * N * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 ...... ...x.. 3 ...o.. | 0 0 0 3 0 0 | 0 0 0 0 0 0 0 3 0 0 0 0 | * * * * * * * * * * * * * N * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 ...... ...xo. ...... &#x | 0 0 0 2 1 0 | 0 0 0 0 0 0 0 1 2 0 0 0 | * * * * * * * * * * * * * * 3N * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 ...... ...... ...ox. &#x | 0 0 0 1 2 0 | 0 0 0 0 0 0 0 0 2 1 0 0 | * * * * * * * * * * * * * * * 3N * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 ....o. ...... ....x. 3*a | 0 0 0 0 3 0 | 0 0 0 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * * * * * * * N * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 ...... ....o. 3 ....x. | 0 0 0 0 3 0 | 0 0 0 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * * * * * * * * N * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 ...... ...... ....xx &#x | 0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 1 2 1 | * * * * * * * * * * * * * * * * * * 3N * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 .....o ...... .....x 3*a | 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * * * * * N * | 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 ...... .....o 3 .....x | 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * * * * * * N | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 ---------------------------------+-------------+----------------------------------+----------------------------------------------------+------------------------------ xx.... 3 oo.... ...... &#x ♦ 3 3 0 0 0 0 | 3 3 0 3 0 0 0 0 0 0 0 0 | 1 0 3 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | N * * * * * * * * * * * * * * xx.... ...... oo.... 3*a&#x ♦ 3 3 0 0 0 0 | 3 3 0 3 0 0 0 0 0 0 0 0 | 0 1 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * N * * * * * * * * * * * * * :x....o:3:o....o: :......: &#x ♦ 3 0 0 0 0 1 | 3 0 3 0 0 0 0 0 0 0 0 0 | 1 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * N * * * * * * * * * * * * :x....o: :......: :o....x:3*a&#x ♦ 3 0 0 0 0 3 | 3 0 6 0 0 0 0 0 0 0 0 3 | 0 1 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | * * * N * * * * * * * * * * * :......: :o....o:3:o....x:3*a&#x ♦ 1 0 0 0 0 3 | 0 0 3 0 0 0 0 0 0 0 0 3 | 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | * * * * N * * * * * * * * * * .xo... 3 .ox... ...... &#x ♦ 0 3 3 0 0 0 | 0 0 0 3 6 3 0 0 0 0 0 0 | 0 0 0 0 0 1 0 3 3 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * * N * * * * * * * * * .xo... ...... .oo... 3*a&#x ♦ 0 3 1 0 0 0 | 0 0 0 3 3 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * N * * * * * * * * ...... .ox... 3 .oo... &#x ♦ 0 1 3 0 0 0 | 0 0 0 0 3 3 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 3 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * * N * * * * * * * ..oo.. 3 ..xx.. ...... &#x ♦ 0 0 3 3 0 0 | 0 0 0 0 0 3 3 3 0 0 0 0 | 0 0 0 0 0 0 0 0 0 1 0 3 1 0 0 0 0 0 0 0 0 | * * * * * * * * N * * * * * * ...... ..xx.. 3 ..oo.. &#x ♦ 0 0 3 3 0 0 | 0 0 0 0 0 3 3 3 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 3 0 1 0 0 0 0 0 0 0 | * * * * * * * * * N * * * * * ...oo. 3 ...xo. ...... &#x ♦ 0 0 0 3 1 0 | 0 0 0 0 0 0 0 3 3 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 0 0 0 0 0 0 | * * * * * * * * * * N * * * * ...oo. ...... ...ox. 3*a&#x ♦ 0 0 0 1 3 0 | 0 0 0 0 0 0 0 0 3 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 0 0 0 0 | * * * * * * * * * * * N * * * ...... ...xo. 3 ...ox. &#x ♦ 0 0 0 3 3 0 | 0 0 0 0 0 0 0 3 6 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 0 1 0 0 0 | * * * * * * * * * * * * N * * ....oo ...... ....xx 3*a&#x ♦ 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 3 3 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 1 0 | * * * * * * * * * * * * * N * ...... ....oo 3 ....xx 3*a&#x ♦ 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 3 3 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 1 | * * * * * * * * * * * * * * N
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