New types of geometry for innovation in 2D and 3D
Rethinking Randomness by Jeff Buzen introduces an alternative characterization of randomness and a new modeling framework that together explain the improbable success of these probabilistic models. Jeff used one of my close packing circle arrangements with a corresponding line lattice (connecting circle contacting points) and then an apparently random image selection (cover design) conjured by the […]
This is a new book that has just gone to print for Wooden Books (UK) and Bloomsbury (USA, Australia, India). Title is the “Crystal Cave.” The book is full of geometric designs to color by Ensor Holiday, Roger Burrows (me), Roger Penrose, John Martineau, and Haifa Khawaja. Each author has applied different math systems to generate […]
The book has now been completed and will be published by Thames and Hudson Ltd in June 2016 (now Spring 2017). I’ve constantly updated the work awaiting publication and have included the latest technologies and future applications for the various types of geometry and visual logic featured in the book – particularly the shape changers […]
Have completed the new chapters – the Renaissance and the River Valleys (Euphrates, Tigris, Nile, Yellow, Indus). The new material took longer to create than I thought. Have been working through the illustrations and securing rights for photos when needed. After that the index will need to be completed…The final page count will be just […]
The publisher has asked for new chapters and I have been in the process of adding chapters that cover the geometries of the “river cultures,” – Indus Vally; The Nile; The Euphrates; The Yellow River. I have also broadened the Celtic chapter content to include a broader range of European tribal geometries – primitive as […]
I underestimated the number of pages – once the photo credits and links have been added the count will be in the order of 300 pages. The new working title is, “Think 3D” – “A design source book.” Recent drafts have been with Thames and Hudson and my hope is that they will publish the […]
Am now on page 214 after an edit. Have added a really simple convergence proof for the Fibonacci ratio converging on Phi – so simple that it could even be Pythagorean. Also added an exact and not a fudged analysis of DaVinci’s Vitruvian man with no relation to Phi, just Vitruvius. This is all in […]
This is the new working title after “Universe of Geometries.” Now on page 200 and have continued to add new material to Neolithic, Greek & Pythagorean, Celtic, and Islamic sections. Have more or less completed the Shape Changing Polyhedra section but still have more to add to the Dynamic Close-Packing Sphere section. The latest section […]
Am now 110 pages into my new book, A Universe Of Geometries,” with about 200 pages to go. I aim to complete by the end April. The book is content rich, packed with info, and intended as a course, and source, book for architectural and design students, musicians, artists, structural engineers, mathematicians, scientists and those […]
We went to visit an old friend of mine, Nancy Stetson, in Boulder, Colorado, two weekends ago. About thirty-five years ago Nancy asked me if I would design an art studio, to be built on the foothills just above Boulder. This I did using one of the geometries that I had developed and that generated […]
