Acronym | srich |
Name |
small rhombated cubic honeycomb, cantellated cubic honeycomb |
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Vertex figure |
© |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x4o3x4o (N → ∞) . . . . | 12N | 2 4 | 1 4 2 2 | 2 2 1 --------+-----+---------+--------------+------- x . . . | 2 | 12N * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 24N | 0 1 1 1 | 1 1 1 --------+-----+---------+--------------+------- x4o . . | 4 | 4 0 | 3N * * * | 2 0 0 x . x . | 4 | 2 2 | * 12N * * | 1 1 0 . o3x . | 3 | 0 3 | * * 8N * | 1 0 1 . . x4o | 4 | 0 4 | * * * 6N | 0 1 1 --------+-----+---------+--------------+------- x4o3x . ♦ 24 | 24 24 | 6 12 8 0 | N * * x . x4o ♦ 8 | 4 8 | 0 4 0 2 | * 3N * . o3x4o ♦ 12 | 0 24 | 0 0 8 6 | * * N snubbed forms: s4o3x4o
x4o3x4/3o (N → ∞) . . . . | 12N | 2 4 | 1 4 2 2 | 2 2 1 ----------+-----+---------+--------------+------- x . . . | 2 | 12N * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 24N | 0 1 1 1 | 1 1 1 ----------+-----+---------+--------------+------- x4o . . | 4 | 4 0 | 3N * * * | 2 0 0 x . x . | 4 | 2 2 | * 12N * * | 1 1 0 . o3x . | 3 | 0 3 | * * 8N * | 1 0 1 . . x4/3o | 4 | 0 4 | * * * 6N | 0 1 1 ----------+-----+---------+--------------+------- x4o3x . ♦ 24 | 24 24 | 6 12 8 0 | N * * x . x4/3o ♦ 8 | 4 8 | 0 4 0 2 | * 3N * . o3x4/3o ♦ 12 | 0 24 | 0 0 8 6 | * * N
x3o3x *b4x (N → ∞) . . . . | 24N | 2 2 2 | 1 2 2 1 1 2 | 1 1 2 1 -----------+-----+-------------+----------------------+---------- x . . . | 2 | 24N * * | 1 1 1 0 0 0 | 1 1 1 0 . . x . | 2 | * 24N * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * 24N | 0 0 1 0 1 1 | 0 1 1 1 -----------+-----+-------------+----------------------+---------- x3o . . | 3 | 3 0 0 | 8N * * * * * | 1 1 0 0 x . x . | 4 | 2 2 0 | * 12N * * * * | 1 0 1 0 x . . x | 4 | 2 0 2 | * * 12N * * * | 0 1 1 0 . o3x . | 3 | 0 3 0 | * * * 8N * * | 1 0 0 1 . o . *b4x | 4 | 0 0 4 | * * * * 6N * | 0 1 0 1 . . x x | 4 | 0 2 2 | * * * * * 12N | 0 0 1 1 -----------+-----+-------------+----------------------+---------- x3o3x . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 | 2N * * * x3o . *b4x ♦ 24 | 24 0 24 | 8 0 12 0 6 0 | * N * * x . x x ♦ 8 | 4 4 4 | 0 2 2 0 0 2 | * * 6N * . o3x *b4x ♦ 24 | 0 24 24 | 0 0 0 8 6 12 | * * * N
s4x3o4x (N → ∞) demi( . . . . ) | 24N | 2 2 2 | 1 2 1 2 1 2 | 1 1 2 1 ----------------+-----+-------------+----------------------+---------- demi( . x . . ) | 2 | 24N * * | 1 1 0 1 0 0 | 1 1 1 0 demi( . . . x ) | 2 | * 24N * | 0 1 1 0 0 1 | 1 0 1 1 sefa( s4x . . ) | 2 | * * 24N | 0 0 0 1 1 1 | 0 1 1 1 ----------------+-----+-------------+----------------------+---------- demi( . x3o . ) | 3 | 3 0 0 | 8N * * * * * | 1 1 0 0 demi( . x . x ) | 4 | 2 2 0 | * 12N * * * * | 1 0 1 0 demi( . . o4x ) | 4 | 0 4 0 | * * 6N * * * | 1 0 0 1 s4x . . | 4 | 2 0 2 | * * * 12N * * | 0 1 1 0 sefa( s4x3o . ) | 3 | 0 0 3 | * * * * 8N * | 0 1 0 1 sefa( s4x . x ) | 4 | 0 2 2 | * * * * * 12N | 0 0 1 1 ----------------+-----+-------------+----------------------+---------- demi( . x3o4x ) ♦ 24 | 24 24 0 | 8 12 6 0 0 0 | N * * * s4x3o . ♦ 12 | 12 0 12 | 4 0 0 6 4 0 | * 2N * * s4x . x ♦ 8 | 4 4 4 | 0 2 0 2 0 2 | * * 6N * sefa( s4x3o4x ) ♦ 24 | 0 24 24 | 0 0 6 0 8 12 | * * * N starting figure: x4x3o4x
:xxx:4:xox:4:oqo:&##x (N → ∞) → height(1,2) = height(2,3) = 1/sqrt(2) = 0.707107 height(3,1') = 1 o.. 4 o.. 4 o.. | 4N * * | 1 2 2 0 0 0 0 1 | 1 2 2 1 0 0 0 0 1 2 | 1 1 2 1 .o. 4 .o. 4 .o. | * 4N * | 0 0 2 2 2 0 0 0 | 0 2 1 2 1 2 1 0 0 0 | 2 1 2 0 ..o 4 ..o 4 ..o | * * 4N | 0 0 0 0 2 1 2 1 | 0 0 0 1 0 2 2 1 1 2 | 1 1 2 1 ----------------------+----------+-------------------------+----------------------------+--------- x.. ... ... | 2 0 0 | 2N * * * * * * * | 0 2 0 0 0 0 0 0 1 0 | 1 0 2 0 ... x.. ... | 2 0 0 | * 4N * * * * * * | 1 0 1 0 0 0 0 0 0 1 | 0 1 1 1 oo. 4 oo. 4 oo. &#x | 1 1 0 | * * 8N * * * * * | 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 .x. ... ... | 0 2 0 | * * * 4N * * * * | 0 1 0 0 1 1 0 0 0 0 | 1 0 2 0 .oo 4 .oo 4 .oo &#x | 0 1 1 | * * * * 8N * * * | 0 0 0 1 0 1 1 0 0 0 | 1 1 1 0 ..x ... ... | 0 0 2 | * * * * * 2N * * | 0 0 0 0 0 2 0 0 1 0 | 1 0 2 0 ... ..x ... | 0 0 2 | * * * * * * 4N * | 0 0 0 0 0 0 1 1 0 1 | 0 1 1 1 :o.o:4:o.o:4:o.o:&#x | 1 0 1 | * * * * * * * 4N | 0 0 0 0 0 0 0 0 1 2 | 0 0 2 1 ----------------------+----------+-------------------------+----------------------------+--------- ... x.. 4 o.. | 4 0 0 | 0 4 0 0 0 0 0 0 | N * * * * * * * * * | 0 1 0 1 xx. ... ... &#x | 2 2 0 | 1 0 2 1 0 0 0 0 | * 4N * * * * * * * * | 1 0 1 0 ... xo. ... &#x | 2 1 0 | 0 1 2 0 0 0 0 0 | * * 4N * * * * * * * | 0 1 1 0 ... ... oqo &#xt | 1 2 1 | 0 0 2 0 2 0 0 0 | * * * 4N * * * * * * | 1 1 0 0 .x. 4 .o. ... | 0 4 0 | 0 0 0 4 0 0 0 0 | * * * * N * * * * * | 0 0 2 0 .xx ... ... &#x | 0 2 2 | 0 0 0 1 2 1 0 0 | * * * * * 4N * * * * | 1 0 1 0 ... .ox ... &#x | 0 1 2 | 0 0 0 0 2 0 1 0 | * * * * * * 4N * * * | 0 1 1 0 ... ..x 4 ..o | 0 0 4 | 0 0 0 0 0 0 4 0 | * * * * * * * N * * | 0 1 0 1 :x.x: ... ... &#x | 2 0 2 | 1 0 0 0 0 1 0 2 | * * * * * * * * 2N * | 0 0 2 0 ... :x.x: ... &#x | 2 0 2 | 0 1 0 0 0 0 1 2 | * * * * * * * * * 4N | 0 0 1 1 ----------------------+----------+-------------------------+----------------------------+--------- xxx ... oqo &#xt ♦ 2 4 2 | 1 0 4 2 4 1 0 0 | 0 2 0 2 0 2 0 0 0 0 | 2N * * * ... xox 4 oqo &#xt ♦ 4 4 4 | 0 4 8 0 8 0 4 0 | 1 0 4 4 0 0 4 1 0 0 | * N * * :xxx:4:xox: ... &#xt ♦ 8 8 8 | 4 4 8 8 8 4 4 8 | 0 4 4 0 2 4 4 0 4 4 | * * N * ... :x.x:4:o.o:&#x ♦ 4 0 4 | 0 4 0 0 0 0 4 4 | 1 0 0 0 0 0 0 1 0 4 | * * * N
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