Inverting beauty

CADDEO, RENZO
First
;
FRANZONI GREGORIO
Second
;
PIU, PAOLA
Last
2015

Abstract

In this paper we give a simple application of spherical inversion, the most elementary among the non elementary geometric transformations, and of some of its generalizations. The principal motivation was an attempt to increase the interest for mathematics in high school students by proposing an easy but mathe- matically rigorous technique for creating new images, new shapes and, by means of 3D printing, new nice material objects. Also in order to put once again in evidence the possibility that mathematics can have something in common with Nature and the Arts. Amongst the generalizations of inversion (see [Bl], [H], [Ep], [S1]) , we find ideally more close to our point of view the hyperbolic inversion due to G. V. Schiaparelli1, an important Italian astronomer not as much known as a geometer, who in [S2], in 1898, tried to represent organic forms and the change from one species to another through geometry
Inglese
Mathematics and Art III. Visual Art and Diffusion of Mathematics
978-2-84225-188-8
Cassini
Paris
FRANCIA
Claude Bruter
24
Second ESMA Conference
Esperti anonimi
09/18/2013 - 09/20/2013
Cagliari, Italy
internazionale
scientifica
no
4 Contributo in Atti di Convegno (Proceeding)::4.1 Contributo in Atti di convegno
Caddeo, Renzo; Franzoni, Gregorio; Piu, Paola
273
3
4.1 Contributo in Atti di convegno
reserved
info:eu-repo/semantics/conferencePaper
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