4 papers
Hyperbolic Pascal simplex
László Németh
In this article we introduce a new geometric object called hyperbolic Pascal simplex. This new object is presented by the regular hypercube mosaic in the 4-dimensional hyperbolic s…
The growing ratios of hyperbolic regular mosaics with bounded cells
László Németh
In 3- and 4-dimensional hyperbolic spaces there are four, respectively five, regular mosaics with bounded cells. A belt can be created around an arbitrary base vertex of a mosaic.…
Power sums in hyperbolic Pascal triangles
László Németh, László Szalay
In this paper, we describe a method to determine the power sum of the elements of the rows in the hyperbolic Pascal triangles corresponding to with . The method is…
Fibonacci words in hyperbolic Pascal triangles
László Németh
The hyperbolic Pascal triangle is a new mathematical construction, which is a geometrical generalization of Pascal's arithmetical triangle. In the pres…