Acronym
| cabisch |

Name
| cantic bisnub cubic honeycomb |

External
links |

Although all cells individually have uniform realisations, the honeycomb as a total can **not** be made uniform:
The mere alternated faceting (here starting at otch)
e.g. would use edges of 3 different sizes:
|sefa(s4x)| = w = 1+sqrt(2) = 2.414214, |s3s| = h = sqrt(3) = 1.732051, as well as the here surviving
x = 1 (refering to elements of x4s3s4x here).

As a different resizement (x,h,w) → (h,h,q+h) would be possible here.

Incidence matrix according to Dynkin symbol

x4s3s4x (N → ∞) demi( . . . . ) | 12N | 2 2 2 | 1 2 1 4 2 | 2 2 2 ------------------+-----+-------------+-----------------+-------- demi( x . . . ) & | 2 | 12N * * | 1 1 0 1 1 | 1 2 1 x sefa( x4s . . ) & | 2 | * 12N * | 0 1 0 1 1 | 1 1 1 w sefa( . s3s . ) | 2 | * * 12N | 0 0 1 2 0 | 2 0 1 h ------------------+-----+-------------+-----------------+-------- demi( x . . x ) | 4 | 4 0 0 |3N* * * * | 2 0 0 x4o x4s . . & | 4 | 2 2 0 | * 6N * * * | 1 1 0 x w . s3s . | 3 | 0 0 3 | * * 4N * * | 2 0 0 h3o sefa( x4s3s . ) & | 4 | 1 1 2 | * * * 12N * | 1 0 1 xw&#h sefa( x4s 2 x ) & | 4 | 2 2 0 | * * * * 6N | 0 1 1 x w ------------------+-----+-------------+-----------------+-------- x4s3s . & | 24 | 12 12 24 | 0 6 8 12 0 | N * * pyritohedral sirco-variant xwX Xxw wXx&#zh x4s 2 x & | 8 | 8 4 0 | 2 2 0 0 2 | * 3N * long square-prism x4o w sefa( x4s3s4x ) | 8 | 4 4 4 | 0 0 0 4 2 | * * 3N recta xw wx&#h starting figure: x4x3x4x where X = w+q = x+2q

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