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
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
and . 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.
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
('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..
You can take a look at the
to select a color convenient as background for a page your are building.