Pascal pyramid in the space H2×R
Németh, László
Mathematical Communications, Tome 22 (2017) no. 1, p. 211-225 / Harvested from Mathematical Communications
Text on Mathematical Communications
In this article we introduce a new type of Pascal pyramids.  A regular squared mosaic in the hyperbolic plane yields an (h2r)-cube mosaic in space H2R and the definition of the pyramid is based on this regular mosaic. The levels of the pyramid inherit some properties from the Euclidean and hyperbolic Pascal triangles. We give the growing method from level to level and show some illustrating figures.
Publié le : 2017-08-13
Classification:  Pascal's triangle; hyperbolic Pascal triangle; Pascal pyramid; regular mosaics; cubic honeycomb; Thurston geometries; prism tiling in space H2R; recurrence sequences,  52C22; 05B45; 11B99 
@article{mc1708,
     author = {N\'emeth, L\'aszl\'o},
     title = {Pascal pyramid in the space H2$\times$R},
     journal = {Mathematical Communications},
     volume = {22},
     number = {1},
     year = {2017},
     pages = { 211-225},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc1708}
}

Németh, László. Pascal pyramid in the space H2×R. Mathematical Communications, Tome 22 (2017) no. 1, pp.  211-225. http://gdmltest.u-ga.fr/item/mc1708/