Acronym sratoh (old: ratoh)
Name small rhombated tetrahedral-octahedral honeycomb,
runcinated alternated cubic honeycomb,
runcinated tetrahedral-octahedral honeycomb,
runcic cubic honeycomb
 
 © ©    ©
Vertex figure
 ©
Confer
related CRF honeycombs:
3Q4-T-2P8-P4  
general polytopal classes:
partial Stott expansions  
External
links
wikipedia   polytopewiki

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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