Acronym ..., 6Q3-2S3-gyro
Name parallelly that dissected rich
 
 ©
Coordinates (i/sqrt(2), j/sqrt(2), k/sqrt(2))           for integers i,j,k with i+j+k even, but i,j,k not all even themselves
Confer
uniform relative:
rich  
related CRF honeycombs:
pexrich   6Q3-2S3-ortho   3Q3-S3-2P6-2P3-gyro  
general polytopal classes:
scaliform  
External
links
mcneill

This scaliform honeycomb is derived from rich by dissections of each co into a pair of tricues by parallel planes.


Incidence matrix

(N → ∞)

3N |  4  4 |  2 2  6  4 |  6 2
---+-------+------------+-----
 2 | 6N  * |  1 1  1  1 |  3 1  planars
 2 |  * 6N |  0 0  2  1 |  2 1  obliques
---+-------+------------+-----
 3 |  3  0 | 2N *  *  * |  1 1  planar triangles
 6 |  6  0 |  * N  *  * |  2 0  hexagons
 3 |  1  2 |  * * 6N  * |  1 1  obl. triangles
 4 |  2  2 |  * *  * 3N |  2 0  obl. squares
---+-------+------------+-----
 9 |  9  6 |  1 1  3  3 | 2N *  tricu
 6 |  6  6 |  2 0  6  0 |  * N  oct

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