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 […]

Presentations & Workshops

PRESENTATIONS WORKSHOPS

FIRE ALTARS OF THE VEDAS – A LOGICAL PUZZLE FROM ANCIENT INDIA

“3D Thinking” Pages 67 to 72: Vedic Fire Altars present a logical puzzle for those building them. Firstly, the surface area has to be in direct proportion to the height of the individual whose task it is to construct the altar. Secondly, there is to be a precise alignment of the altar with the four […]

PATTERNS OF PERCEPTION

“3D Thinking” Pages 22, 292: Patterns of Perception follow a methodology that has been applied through time from antiquity to the present. The first books to appear that feature “perceptual lattices” are books on designs developed during the early Islamic period – in the middle-east, north Africa, and in Moorish Spain. References are Jules Bourgoin […]

Altair Designs Complete A Circle

For many years I’ve wondered where the original structure was that inspired the development of Altair designs. Daud Sutton, a specialist in Islamic Design, sent me an email from Cairo just a few days ago. He has found found the original structure – a  latticed window – that has inspired so many of us – all that […]

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 […]

Images Designs Animation

Here’s a new animation from the Hidden Images series published by Running Press, in Philadelphia, USA. These are some images seen in Design # 1 from the title, Garden. The animation was prepared for the Spring 2012 Young Inventor class. The images seen in the design animated below were found and colored by different children and […]