Art and mathematics, clearly distinct domains, converge in a fascinating exploration that transcends conventional boundaries. The essence of art lies in producing profound, individualistic responses, inspiring a search for coherence in the visual and emotional tapestry it weaves. Simultaneously, mathematics, conventionally confined to analytical rigor, reveals an unexpected facet as an incentive for creativity....
Access to knowledge is no longer in the restricted domain of schools and becomes accessible through the most diverse digital supports. The pandemic disruption has taught us all, in a long experience of several months, that the adaptation of teaching and learning processes, without the physical presence of the teacher and in an interaction, at a distance, with their students, is not only possible but faster than...
In an increasingly globalizing society, where the audio-visual world plays a crucial role in the most diverse areas of human activity vision impairment is one of the deficiencies that most directly impact the life quality of individuals who bare it. This deficiency can be classified, according to the World Health Organization, into seven categories in accordance with the greater or the lesser visual acuity that...
The curricular unit Calculus I – Extraordinary Semester (UCCISE) – was explicitly created to respond to students’ difficulties in the curriculum unit Calculus I (UCCI). Only students who fail the UCCI are allowed to attend UCCISE. Considering the enrolled students’ familiarity with mathematical software, the potential of group work to stimulate collaboration among students, and the existence of several art piec...
Mathematics and art have a connection that goes far beyond proximity. In fact, they are two symbiotic areas shaping a beautiful, logical, systematic, and breathtaking world. One of the works that exposes their intrinsic connection, in a clear, rigorous and simple way, is the book Beautiful Geometry by Eli Maor and Eugen Jost. To a greater or lesser degree, we all feel the power that art exerts on our minds, bot...
The teaching method has varied and evolved over the years. The year 2020 is a milestone in this variability. The COVID-19 pandemic unleashed the strict need for a radical adaptation of teaching processes that, worldwide, become exclusively or almost exclusively at a distance. The impact of the digital world on our lives has been and is being felt like never before. Non-formal teaching processes gain crucial imp...
Cet article présente l’implémentation dans le langage Geogebra de deux algorithmes pour calculer la courbe intersection d’une quadrique et d’une quartique. Nous présentons deux méthodes de calcul et de visualisation de cette courbe avec GeoGebra. La première utilise un logiciel de Calcul formel pour obtenir une paramétrisation de la courbe et sa représentation. La seconde est basée sur le calcul d’une projectio...
In previous works we have ilustrate a procedure to obtain spherical tiling with GeoGebra. We have found new classes of monohedral spherical tiling by four spherical pentagons, and new class of dihedral spherical tiling by twelve spherical pentagons. One again, we would make use of GeoGebra to show how we can do generate new classes of monohedral non-convex hexagonal spherical tilings, H(C,τ), changing the side ...
The theory of spherical tilings is an interesting and fruitful field, attracting, among other researchers, mathematicians. It is a transverse topic crossing several mathematical areas such as geometry, algebra, topology and number theory, but it is also an object of interest for other scientific fields such as chemistry, physics, art and architecture. Here, we make use of GeoGebra to establish some results, des...
By a monohedral spherical tiling we mean a decomposition of the sphereby geodesic congruent polygons. Here, making use of GeoGebra, a well known freeinteractive mathematics software, we show how to generate new classes of monohedralnon-convex triangular and new non-convex pentagonal spherical tilings, changing theside gluing rules of the regular spherical tetrahedral tiling, by means of a local actionof particu...