Geometry Visualization

I enjoy Geometry Visualization as an art form and as a didactic resource to improve young people's intuition for Mathematics, so that they could get motivated toward research as an adventure in their lives. In particular, I appreciate the following Polyhedral people pages: G. W. Hart and R. Maeder,

J. H. Conway's Cosmogram and Odom's Golden Section

Here you can find Christine Tuveson's beautiful picture of John Horton Conway's Cosmogram: an icosahedron inscribed in an octahedron inscribed in a tetrahedron inscribed in a cube inscribed in a dodecahedron. I find it amazingly beautiful. According to a reported letter of G. Odom to M. Wenninger, the middle points A and B of two adjacent cube faces in Tuveson's figure define a segment whose extension to a vertex C of the dodecahedron defines the segment AC divided by B in golden section. You can take a look at Tuveson's pictures of this here and here. These pictures and comments resulted from electronic discussions between the above mentioned people, including N. Johnson, J. Sharp, G. Olshevski, G W. Hart, R. Towle, etc. My daughter Silvina observed my interest in these objects and facts and sent me this Father's day surprise.

Plane Geometry Ideas

On the other hand, I think that pieces of software like Geometry Sketchpad, SuperSupposer or Cabri may be integrated as models of visualizion for a formal education in Plane Geometry, without lessening the merits of theorem-proving in a classical mathematical formation. On the contrary, geometric intuition and mathematical rigor intertwine in a child's or adolescent's mind, nourished with enough exercising through challenging problems posed by a motivated teacher.



In the island of Puerto Rico, from evening to dawn, you can listen everywhere the melodious singing of the little tiny frog called coqui, ('cockee'). So abundant here, it is extremely rare outside the island. It is also extremely rare to see a coqui, even if you watch attentively places where the singing is coming from and even though their singing is ever present at night in Puerto Rico..

Color Selector

You can take a look at the Color Selector to select a color convenient as background for a page your are building.