Nazca Lines: Spirals and Labyrinths

This will be my only post for 2021 as I’ve been working on my new book all to do with visualization and imagination in the arts and architecture; through time (almost complete). This post is from my 2020 paper given at Bridges Math/Art 2020. Two animations and one illustration sequence. The Nazca giant-geoglyph spirals that […]

Geometry Mind Doodles

Mind Doodles are visual puzzles – the product of various types of logic developed by cultures past and present. Each design has been selected to stimulate your visual perception or to challenge your logic. The book is sized like a journal but its objective is to stimulate ideas, to provide a platform for creativity, to provide space for idle […]

Rethinking Randomness by Jeff Buzen

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 […]

Crystal Cave – A new book of geometric designs to color

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 […]

Timbuctoo and Tahir Shah

Tahir Shah, and his lovely family, just visited us in Park City. Tahir is not a mathematician, or a scientist, but an author of books, “…many of which chronicle a wide range of outlandish journeys through Africa, Asia and the Americas. For him, there’s nothing so important as deciphering the hidden underbelly of the lands through […]

iBook Published

For those with iPads I’m pleased to announce the publication, by Apple, of my iBook Author title, “Labyrinths.” The title is in the, “Geometry Through Time,” series that covers the cultural applications of geometry through time and includes the titles: The Pythagoreans, Art of the Arabs, The Celts, Nomads, Ancient China, and The Americas. The applications […]