ABSTRACT “Fibonacci strings” were first defined by Knuth in his 1968 “The Art of Computer
Programming,” as being an infinite sequence of strings obtained from two initial letters f1= a …

DNA computing, an essential area of unconventional computing research, encodes
problems using DNA molecules and solves them using biological processes. This thesis …

In this article we introduce a new geometric object called hyperbolic Pascal simplex. This
newobject is presented by the regular hypercube mosaic in the 4-dimensional hyperbolic …

Recently, a generalization of hyperbolic Pascal triangles was introduced. These triangles
are based on the regular mosaics in the hyperbolic plane and the number of shortest paths …

Diophantine problems related to binomial coefficients have a vast literature. In this paper we
investigate power and polynomial values of row sums of hyperbolic Pascal triangles, which …

Pascal's triangle is a triangular arrangement of the binomial coefficients, which is well-
known and used in several fields of mathematics. In our review we introduce its special …

The hyperbolic Pascal triangle HPT4, q (q≥ 5) is a new mathematical construction [1], which
is a geometrical generalization of Pascal's arithmetical triangle. We show that a natural …

Pascal's triangle is a triangular arrangement of binomial coefficient, which is well known and
used in several fields of mathematics. The family of hyperbolic Pascal triangles is a recently …