runcinated alternated cubic honeycomb,
runcinated tetrahedral-octahedral honeycomb,
runcic cubic honeycomb
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©
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- related CRF honeycombs:
- 3Q4-T-2P8-P4
- general polytopal classes:
- partial Stott expansions
links
| Acronym | sratoh (old: ratoh) |
| Name |
small rhombated tetrahedral-octahedral honeycomb, runcinated alternated cubic honeycomb, runcinated tetrahedral-octahedral honeycomb, runcic cubic honeycomb |
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| Vertex figure |
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| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o *b4x (N → ∞) . . . . | 8N | 3 3 | 3 3 3 | 1 3 1 -----------+----+---------+----------+------- x . . . | 2 | 12N * | 2 1 0 | 1 2 0 . . . x | 2 | * 12N | 0 1 2 | 0 2 1 -----------+----+---------+----------+------- x3o . . | 3 | 3 0 | 8N * * | 1 1 0 x . . x | 4 | 2 2 | * 6N * | 0 2 0 . o . *b4x | 4 | 0 4 | * * 6N | 0 1 1 -----------+----+---------+----------+------- x3o3o . ♦ 4 | 6 0 | 4 0 0 | 2N * * x3o . *b4x ♦ 24 | 24 24 | 8 12 6 | * N * . o3o *b4x ♦ 8 | 0 12 | 0 0 6 | * * N snubbed forms: x3o3o *b4s
s4o3o4x (N → ∞)
demi( . . . . ) | 8N | 3 3 | 3 3 3 | 1 1 3
----------------+----+---------+----------+-------
demi( . . . x ) | 2 | 12N * | 2 0 1 | 1 0 2
s4o . . | 2 | * 12N | 0 2 1 | 0 1 2
----------------+----+---------+----------+-------
demi( . . o4x ) | 4 | 4 0 | 6N * * | 1 0 1
sefa( s4o3o . ) | 3 | 0 3 | * 8N * | 0 1 1
sefa( s4o . x ) | 4 | 2 2 | * * 6N | 0 0 2
----------------+----+---------+----------+-------
demi( . o3o4x ) ♦ 8 | 12 0 | 6 0 0 | N * *
s4o3o . ♦ 4 | 0 6 | 0 4 0 | * 2N *
sefa( s4o3o4x ) ♦ 24 | 24 24 | 6 8 12 | * * N
starting figure: x4o3o4x
qo3xx3oq3oo3*a&#zx (N → ∞) o.3o.3o.3o.3*a | 4N * | 3 3 0 | 3 3 3 0 | 1 3 1 0 .o3.o3.o3.o3*a | * 4N | 0 3 3 | 0 3 3 3 | 0 3 1 1 -------------------+-------+-----------+-------------+-------- .. x. .. .. | 2 0 | 6N * * | 2 0 1 0 | 1 2 0 0 oo3oo3oo3oo3*a&#x | 1 1 | * 12N * | 0 2 1 0 | 0 2 1 0 .. .x .. .. | 0 2 | * * 6N | 0 0 1 2 | 0 2 0 1 -------------------+-------+-----------+-------------+-------- .. x.3o. .. | 3 0 | 3 0 0 | 4N * * * | 1 1 0 0 qo .. oq .. &#zx | 2 2 | 0 4 0 | * 6N * * | 0 1 1 0 .. xx .. .. &#x | 2 2 | 1 2 1 | * * 6N * | 0 2 0 0 .o3.x .. .. | 0 3 | 0 0 3 | * * * 4N | 0 1 0 1 -------------------+-------+-----------+-------------+-------- .. x.3o.3o. ♦ 4 0 | 6 0 0 | 4 0 0 0 | N * * * qo3xx3oq .. &#zx ♦ 12 12 | 12 24 12 | 4 6 12 4 | * N * * qo .. oq3oo3*a&#zx ♦ 4 4 | 0 12 0 | 0 6 0 0 | * * N * .o3.x .. .o*a ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * N
:xoox:4:xxxx:4:oxxo:&##x (N → ∞) o... 4 o... 4 o... | 4N * * * | 1 2 2 0 0 0 0 0 0 0 0 1 | 1 2 2 1 0 0 0 0 0 0 0 0 1 2 | 1 1 0 0 2 1 .o.. 4 .o.. 4 .o.. | * 4N * * | 0 0 2 2 1 1 0 0 0 0 0 0 | 0 1 2 2 1 2 1 0 0 0 0 0 0 0 | 1 2 1 0 1 0 ..o. 4 ..o. 4 ..o. | * * 4N * | 0 0 0 0 0 1 2 1 2 0 0 0 | 0 0 0 0 0 2 1 1 1 2 2 0 0 0 | 0 2 1 1 1 0 ...o 4 ...o 4 ...o | * * * 4N | 0 0 0 0 0 0 0 0 2 1 2 1 | 0 0 0 0 0 0 0 0 2 2 1 1 1 2 | 0 1 0 1 2 1 -------------------------+-------------+-------------------------------------+---------------------------------------+-------------- x... .... .... | 2 0 0 0 | 2N * * * * * * * * * * * | 0 2 0 0 0 0 0 0 0 0 0 0 1 0 | 1 0 0 0 2 0 .... x... .... | 2 0 0 0 | * 4N * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0 0 1 | 0 1 0 0 1 1 oo.. 4 oo.. 4 oo.. &#x | 1 1 0 0 | * * 8N * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 0 1 0 .... .x.. .... | 0 2 0 0 | * * * 4N * * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 0 | 0 1 1 0 1 0 .... .... .x.. | 0 2 0 0 | * * * * 2N * * * * * * * | 0 0 0 2 0 0 1 0 0 0 0 0 0 0 | 1 2 0 0 0 0 .oo. 4 .oo. 4 .oo. &#x | 0 1 1 0 | * * * * * 4N * * * * * * | 0 0 0 0 0 2 1 0 0 0 0 0 0 0 | 0 2 1 0 0 0 .... ..x. .... | 0 0 2 0 | * * * * * * 4N * * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 1 0 1 0 .... .... ..x. | 0 0 2 0 | * * * * * * * 2N * * * * | 0 0 0 0 0 0 1 0 0 0 2 0 0 0 | 0 2 0 1 0 0 ..oo 4 ..oo 4 ..oo &#x | 0 0 1 1 | * * * * * * * * 8N * * * | 0 0 0 0 0 0 0 0 1 1 1 0 0 0 | 0 1 0 1 1 0 ...x .... .... | 0 0 0 2 | * * * * * * * * * 2N * * | 0 0 0 0 0 0 0 0 2 0 0 0 1 0 | 0 0 0 1 2 0 .... ...x .... | 0 0 0 2 | * * * * * * * * * * 4N * | 0 0 0 0 0 0 0 0 0 1 0 1 0 1 | 0 1 0 0 1 1 :o..o:4:o..o:4:o..o:&#x | 1 0 0 1 | * * * * * * * * * * * 4N | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 | 0 0 0 0 2 1 -------------------------+-------------+-------------------------------------+---------------------------------------+-------------- .... x... 4 o... | 4 0 0 0 | 0 4 0 0 0 0 0 0 0 0 0 0 | N * * * * * * * * * * * * * | 0 1 0 0 0 1 xo.. .... .... &#x | 2 1 0 0 | 1 0 2 0 0 0 0 0 0 0 0 0 | * 4N * * * * * * * * * * * * | 1 0 0 0 1 0 .... xx.. .... &#x | 2 2 0 0 | 0 1 2 1 0 0 0 0 0 0 0 0 | * * 4N * * * * * * * * * * * | 0 1 0 0 1 0 .... .... ox.. &#x | 1 2 0 0 | 0 0 2 0 1 0 0 0 0 0 0 0 | * * * 4N * * * * * * * * * * | 1 1 0 0 0 0 .o.. 4 .x.. .... | 0 4 0 0 | 0 0 0 4 0 0 0 0 0 0 0 0 | * * * * N * * * * * * * * * | 0 0 1 0 1 0 .... .xx. .... &#x | 0 2 2 0 | 0 0 0 1 0 2 1 0 0 0 0 0 | * * * * * 4N * * * * * * * * | 0 1 1 0 0 0 .... .... .xx. &#x | 0 2 2 0 | 0 0 0 0 1 2 0 1 0 0 0 0 | * * * * * * 2N * * * * * * * | 0 2 0 0 0 0 ..o. 4 ..x. .... | 0 0 4 0 | 0 0 0 0 0 0 4 0 0 0 0 0 | * * * * * * * N * * * * * * | 0 0 1 0 1 0 ..ox .... .... &#x | 0 0 1 2 | 0 0 0 0 0 0 0 0 2 1 0 0 | * * * * * * * * 4N * * * * * | 0 0 0 1 1 0 .... ..xx .... &#x | 0 0 2 2 | 0 0 0 0 0 0 1 0 2 0 1 0 | * * * * * * * * * 4N * * * * | 0 1 0 0 1 0 .... .... ..xo &#x | 0 0 2 1 | 0 0 0 0 0 0 0 1 2 0 0 0 | * * * * * * * * * * 4N * * * | 0 1 0 1 0 0 .... ...x 4 ...o | 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * * N * * | 0 1 0 0 0 1 :x..x: .... .... &#x | 2 0 0 2 | 1 0 0 0 0 0 0 0 0 1 0 2 | * * * * * * * * * * * * 2N * | 0 0 0 0 2 0 .... :x..x: .... &#x | 2 0 0 2 | 0 1 0 0 0 0 0 0 0 0 1 2 | * * * * * * * * * * * * * 4N | 0 0 0 0 1 1 -------------------------+-------------+-------------------------------------+---------------------------------------+-------------- xo.. .... ox.. &#x ♦ 2 2 0 0 | 1 0 4 0 1 0 0 0 0 0 0 0 | 0 2 0 2 0 0 0 0 0 0 0 0 0 0 | 2N * * * * * .... xxxx 4 oxxo &#xt ♦ 4 8 8 4 | 0 4 8 4 4 8 4 4 8 0 4 0 | 1 0 4 4 0 4 4 0 0 4 4 1 0 0 | * N * * * * .oo. 4 .xx. .... &#x ♦ 0 4 4 0 | 0 0 0 4 0 4 4 0 0 0 0 0 | 0 0 0 0 1 4 0 1 0 0 0 0 0 0 | * * N * * * ..ox .... ..xo &#x ♦ 0 0 2 2 | 0 0 0 0 0 0 0 1 4 1 0 0 | 0 0 0 0 0 0 0 0 2 0 2 0 0 0 | * * * 2N * * :xoox:4:xxxx: .... &#xt ♦ 8 4 4 8 | 4 4 8 4 0 0 4 0 8 4 4 8 | 0 4 4 0 1 0 0 1 4 4 0 0 4 4 | * * * * N * .... :x..x:4:o..o:&#x ♦ 4 0 0 4 | 0 4 0 0 0 0 0 0 0 0 4 4 | 1 0 0 0 0 0 0 0 0 0 0 1 0 4 | * * * * * N
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