Hyperbolic Pascal Simplex

Yıl 2017, Cilt: 10 Sayı: 2, 46 - 55, 29.10.2017

László Németh

Öz

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 space. The

definition of the hyperbolic Pascal simplex, whose hyperfaces are hyperbolic Pascal pyramids and

whose faces are hyperbolic Pascals triangles, is a natural generalization of the definition of the

hyperbolic Pascal triangle and pyramid.We describe the growing of the hyperbolic Pascal simplex

considering the numbers and the values of the elements. Further figures illustrate the stepping

from a level to the next one.

Anahtar Kelimeler

Hiperbolic Pascal triangle, Pascal simplex, hypercube honeycomb, regular hypercube mosaic in 4-dimensional hyperbolic space, recurrence sequence

Kaynakça

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