2017/01/21 by László Németh
Mathematics · #math.CO #math.GN #math.NT #msc:52C22 #msc:05B45 #msc:11B99
published as Mathematical Communications, 22 (2017) 211-225 · 15 pages, 11 figures, accepted in Mathematical Communications. arXiv admin note: substantial text overlap with arXiv:1511.02067
arxiv created 2017/01/21 · arxiv updated 2017/12/22
In this article we introduce a new type of Pascal pyramids. A regular squared mosaic in the hyperbolic plane yields a (h2r)-cube mosaic in space H2 × R 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.