Acronym pristrah
Name hyperbolic prismatorhombisnub triangular-tiling honeycomb,
hyperbolic runcisnub triangular tiling honeycomb,
edge-alternated hyperbolic prismatorhombated triangular-tiling honeycomb
Circumradius ...
Confer
uniform relatives:
ahexah   trah  
related scaliforms:
prissi  
general polytopal classes:
scaliform  
External
links
wikipedia  

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

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