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Eclectic Personified

Like last week, this week's web site has both plus and minus aspects. When looking at it, you will need to filter out the minus parts (which usually are quite evident).

In his own words, Antonio Gutierrez's Geometry Step-by-Step from the Land of the Incas is an "eclectic mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", Cuzco, Machu Picchu, Lost City of the Incas, Nazca Lines, the Quipu, the Lord of Sipan, Caral: the oldest civilization in the Americas, and more." That is a mouthful!

The web site is arranged around 14 pages of visual links to diverse material. Some examples:

  • In line with the recent Olympics, view Usain Bolt and Michael Phelps within the context of golden rectangles.
  • Focus on the Proposed geometry problems and the established theorems, as that is where the "meat" of the site is found....make sure you find the infamous "Johnson's Theorem."
  • Links to mathematical things such as "The Geometry of Seeing" (Getty Institute), "The Geometry of War" (University of Oxford), "The Geometry of Motion" (Museum of Modern Art), "The Geometry of Music" (Dmitri Tymoczko at Princeton University), and "mathematics and Baseball."
  • Diversions such as Geometry Jokes, , quotations, puzzles, historical discussions (e.g. Archimedes and the Rhombicuboctahedron), Escher videos, and the "Top Ten Reasons to Enjoy Geometry with animation."
That should be enough to prompt you to at least explore this web site put together as a labor of love by a Antonio Gutierrez, a Peruvian teacher. I must admit that I have not explored everything on the site, as it has more than 700 different "mini-ideas" to experience. Theire diversity creates a pleasant ride, but be forewarned that the ride could be uneven.