Sangaku are geometrical problems carved on wooden tablets. They were very popular in Japan during the Edo period (1603-1867).
Sangaku was the theme for the 12-30 project, month of November. I compiled the entire series with additional artworks inspired by the Sangaku tradition in one volume including over 60 illustrations, the original geometry they originated from, along with their mathematical description and possible solution
The book is now available in electronic format on the iBook store, GoogleBook, and Kindle. The individual images, large size print on canvas on SaatchiArt.
“The Quaste quandary”, vol. nº 8 of the Math-Art series, is now available on the iBook store @http://bit.ly/JCDigitalBooks , GoogleBooks @http://bit.ly/JCGBooks . A black&white version is also available on Kindle @http://bit.ly/JCPublishing
This book, as well as vol. nº 7, “The Mathematical Surfer”, features some of the works I produced at the beginning of the 12-30 project, month of January.
The electronic version of Math-Art, Vol 1 – Conformal maps – is now available on
The 12-30 project, animated HD for the month of November “Current Sangaku” – is now on Vimeo. Images of the sequence were originated in Geogebra. Additional credits: Yutaka Yamada, Derek & Brandon Flechter for the music.
The 12-30 project is going to Jyväskylä this August!
Left a 16-cell polytope, right a seven symmetry hyperbole. Original plates – the 12-30 project – 05-08, 05-26.
December 22 – 356
MathMod & Morenaments. Folium before it evolves in a trefoil curve. A folium is a parametric surface. Descartes put his signature on one, so did Kepler. Because it involves a polar equation – the pedestal on which the main folium stands is a visualization of that same object polar coordinates.
Background: A pgg symmetry. It is characterized by glide-reflections in two perpendicular axes and produces “double glide” patterns (pgg patterns)
December 12. – 346
MathMod & Morenaments.
This 3D parametric surface is attributed to programmer and mathematician Roger Bagula. I slightly extended the x parameter to emphasize the interconnection of the two volumes.
Background: P31 symmetry. This group has three different rotation centers of order three. It has reflections in three distinct directions.