Università Roma Tre

• Euclidean Geometry: triangles centers , circle inversion.
• Ordered Geometry and Sylvester problem.
• Projective Geometry: axioms, Desargues, collineations and
correlations
• Platonic Solids Euler formula. Politops, 4-dimensional space politops.
• Topology of surfaces and graphs 4 colors problem and 6 colors theorem, Heawood theorem.
• Delaunay triangulations.
• Newton polygons .
• introduction to tropical geometry.

1) H.S.M Coxeter Introduction to geometry, Wiley 1970; + notes.
morevover:
2) D. Hilbert, S. Cohn Vossen, Geometria intuitiva, cap. 3 , 1932, ed. varie;
3) M. Aigner, Martin, G. Ziegler, Proofs from THE BOOK, Springer, 1998;
4) J. Stillwell The Four Pillars of Geometry, Springer 2005;
5) H.D. Ebbinghaus, H. Hermes, F. Hirzebruch, et al. Numbers, GTM 123,
Springer 1990;
6) Stefano Rebay, Tecniche di Generazione di Griglia per il Calcolo
Scientico-Triangolazione di Delaunay, slides Univ. Studi di Brescia;
7) G. Fisher Plane algebraic curves, AMS Students Mathematical Library V.
15, AMS 2001.