@article{article_545047, title={Hyperbolic Pascal Simplex}, journal={International Electronic Journal of Geometry}, volume={10}, pages={46–55}, year={2017}, author={Németh, László}, keywords={Hiperbolic Pascal triangle,Pascal simplex,hypercube honeycomb,regular hypercube mosaic in 4-dimensional hyperbolic space,recurrence sequence}, abstract={<div>In this article we introduce a new geometric object called hyperbolic Pascal simplex. This new </div> <div>object is presented by the regular hypercube mosaic in the 4-dimensional hyperbolic space. The </div> <div>definition of the hyperbolic Pascal simplex, whose hyperfaces are hyperbolic Pascal pyramids and </div> <div>whose faces are hyperbolic Pascals triangles, is a natural generalization of the definition of the </div> <div>hyperbolic Pascal triangle and pyramid.We describe the growing of the hyperbolic Pascal simplex </div> <div>considering the numbers and the values of the elements. Further figures illustrate the stepping </div> <div>from a level to the next one. </div>}, number={2}, publisher={Kazım İlarslan}