Acronym | pristrah |
Name |
hyperbolic prismatorhombisnub triangular-tiling honeycomb, hyperbolic runcisnub triangular tiling honeycomb, edge-alternated hyperbolic prismatorhombated triangular-tiling honeycomb |
Circumradius | ... |
Confer | |
External links |
This is a scaliform honeycomb, obtained as a variation of a faceting of the prismatorhombated triangular-tiling honeycomb (pritah). Or as a Stott addition of the alternated hexagonal tiling honeycomb (ahexah) with the alternated hexagonal tiling honeycomb (ahexah) resulting in shifting formerly face-connected triangular tilings (trat) one edge length appart.
This honeycomb happens to be the hyperbolic analogue of prissi: the ikes becoming trats, tuts becoming thats, both being used in here in the sense of infinite horohedra (i.e. with euclidean curvature). Note that thereby some former edges (s4o) here become true faces (s6o) as well.
Incidence matrix according to Dynkin symbol
s3s6o3x demi( . . . . ) | 3NMK | 2 4 2 | 1 2 1 3 4 2 | 1 2 1 3 ----------------+------+----------------+----------------------------+-------------- demi( . . . x ) | 2 | 3NMK * * | 1 0 0 0 2 1 | 0 1 1 2 sefa( s3s . . ) | 2 | * 6NMK * | 0 1 0 1 1 0 | 1 1 0 1 sefa( . s6o . ) | 2 | * * 3NMK | 0 0 1 1 0 1 | 1 0 1 1 ----------------+------+----------------+----------------------------+-------------- demi( . . o3x ) | 3 | 3 0 0 | NMK * * * * * | 0 0 1 1 s3s . . ♦ 3 | 0 3 0 | * 2NMK * * * * | 1 1 0 0 . s6o . ♦ 3 | 0 0 3 | * * NMK * * * | 1 0 1 0 sefa( s3s6o . ) | 3 | 0 2 1 | * * * 3NMK * * | 1 0 0 1 sefa( s3s 2 x ) | 4 | 2 2 0 | * * * * 3NMK * | 0 1 0 1 sefa( . s6o3x ) | 6 | 3 0 3 | * * * * * NMK | 0 0 1 1 ----------------+------+----------------+----------------------------+-------------- s3s6o . ♦ 3M | 0 6M 3M | 0 2M M 3M 0 0 | NK * * * s3s 2 x ♦ 6 | 3 6 0 | 0 2 0 0 3 0 | * NMK * * . s6o3x ♦ 3K | 3K 0 3K | K 0 K 0 0 K | * * NM * sefa( s3s6o3x ) ♦ 9 | 6 6 3 | 1 0 0 3 3 1 | * * * NMK starting figure: x3x6o3x
© 2004-2021 | top of page |