CHRISTIAN MERCAT ET MICHÈLE ARTIGUE Friezes and tilings frequently accompany the teaching of isometries. The objects that we will consider in this vignette, like the one in Figure 1, are not far from them. However, their understanding involves other mathematics:…
by Giulia Signorini, Michele Tocchet, both from “Liceo Filippo Buonarroti” in Pisa, and Anna Baccaglini-Frank, University of Pisa. In 1871 Felix Klein published two papers, called “On the so-called non-Euclidean geometry”, in which he proposed to call the first type…
by Nitsa Movshovitz-Hadar (Technion – Israel Institute of Technology) Did you know? – Over 125,000 new items are added each year, to the international database managed by the American Mathematical Society called MathSciNet®1 A vast majority of these items contain…
Originating author is Nitsa Movshovitz-Hadar. Prolog This article is an English translation with emendations of a Hebrew paper written in 2014 about two years after the untimely passing of the illustrious lecturer and group theory expert, Professor David Chillag. It…
Originating author is Timo Leuders. Introduction There are some questions that accompany the development of mathematics through cultures and ages. One of these questions is how to find an unknown quantity of which one knows some relations such as –…
Originating authors are Alberto A. Pintoa (University of Porto, cLIAAD-INESC Porto LA) and Telmo Parreira (University of Minho, cLIAAD-INESC Porto LA). Have you ever been frustrated by the lack of choices when you go to buy something? Why do producers…
Originating author is Christiane Rousseau. From its very beginning, Google became “the” search engine. This comes from the supremacy of its ranking algorithm: the PageRank algorithm. Indeed, with the enormous quantity of pages on the World-Wide-Web, many searches end up…
Originating author is Christiane Rousseau. How do we measure the size of a geometric object? For subsets of the plane we often use perimeter, length, area, diameter, etc. These are not sufficient to describe fractals. The fractal objects are very…
Originating authors are Gabriel Rosenberg and Mark Iwen. It is a little known fact that two gold medals were awarded for the same pairs figure skating competition in the 2002 Winter Olympics. These two medals were ultimately a result of…
Originating authors are Michèle Artigue, Ferdinando Arzarello and Susanna Epp. Studying the evolution of a natural phenomenon often leads to studying numerical sequences , especially their long-term behavior and whether they eventually converge. Polynomial, exponential, and logarithmic sequences are frequently…