Gian Marco Todesco

Teacher, Business owner

Dipartimento di Architettura, Università di Roma TRE

Rome, Italy

http://www.formulas.it

http://www.matematita.it

http://www.toonz.com/personal/todesco

I use computer graphics programming to explore the beauty of some mathematical concepts. I experiment with different media: interactive animation, still images or short movies. The following movies are created with the open source software POV-Ray

Building a 120 cell

00:02:17

Gian Marco Todesco, music by Elisa Conversano

2008

http://youtu.be/MFXRRW9goTs

This short computer graphics animation presents the regular 120-cell: a four dimensional polytope composed of 120 dodecahedra and also known as the hyperdodecahedron or hecatonicosachoron. The figure is built up through a sequence of subsequent foldings: 5 segments form a pentagon, 12 pentagons form a dodecahedron and eventually 120 dodecahedra form the 120-cell. The 4D shape is visualized through its three dimensional "shadow".

Snub Dodecahedron and its rectifications

00:03:38

Author C. Falcolini, music by R. D'Autilia, CG by G.M.Todesco, Laboratorio di Matematica (www.formulas.it), Università Roma Tre

2012

http://youtu.be/HmWZQ6eJS2U

We used counting of polyhedra to celebrate the 150th Anniversary of Italy's national Unity. The first version of this video has been presented at the Genova Science Festival. Corrado Falcolini worked out most of the the math involved, and a first study-version of this video in Mathematica. Thanks to Laura Tedeschini Lalli, scientific supervisor of Laboratorio di Matematica (www.formulas.it), Università Roma Tre for pointing out some subtle discrepancies. Thanks to Roberto D'Autilia for the starting ideas.