Abstract The Peano and the Hilbert curves, denoted by P and H respectively, are historically
the first and some of the best known space-filling curves. They have a fractal structure, many …

In many cases occurring in the real world and studied in science and engineering, non-
homogeneous fractal forms often emerge with striking characteristics of cyclicity or …

For a nonnegative integer p, we give explicit formulas for the p-Frobenius number and the p-
genus of generalized Fibonacci numerical semigroups. Here, the p-numerical semigroup S …

Fibonacci numbers are the basis of a new geometric construction that leads to the definition
of a family {C_n: n ∈ N\} C n: n∈ N of octagons that come very close to the regular octagon …

The knowledge and understanding of abstract concepts systematically occur in the studies
of mathematics. The epistemological approach of these concepts gradually becomes of …

The concept of infinity had, in ancient times, an indistinguishable development between
mathematics and philosophy. We could also say that his real birth and development was in …

This work presents a new cutting plane method for lexicographic multi-objective integer
linear programming (LMOILP). The method uses Grossone Methodology to reformulate a …

In this paper we use the method of supertracks to study two attractors: the first, called PC8, is
generated by Chua's oscillator and the second is produced by Chua's circuit equipped with …

In this article, some classical paradoxes of infinity such as Galileo's paradox, Hilbert's
paradox of the Grand Hotel, Thomson's lamp paradox, and the rectangle paradox of …

Literature considers under the name" unimaginable numbers" any positive integer going
beyond any physical application. One of the most known methodologies to conceive such …