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 […]
Category: PATTERNS OF PERCEPTION
Girih Tiles & The Gunbad-i Qabud Tomb
Girih Tiles on the
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 Design – Page Update
Have updated the Altair design page with a new animation that shows the logic of how the designs are generated plus how the designs themselves can be perceived – with imagination, with logic, with creativity.
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 […]
Visual Imagination and Invention
This web and blog site is primarily about geometry and about new ways to model structures in space. But it is also about imagination and the need to be flexible with the “models” we create, whether they are geometric, or not; modeling anything from an atom to the way a rain drop falls, or how […]
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 […]