From Sunflowers to God’s Divine Architecture of Life.

Readers often have questions. I thought adding supplements to the Visual Thinking and Seeing Through Time books as PDFs would help. This is the first! “From Sunflowers to God’s Divine Architecture of Life.” This supplement relates to Book 1, Chapter 5, Ancient Egypt. It also covers Book 2, Chapter 7, Ancient Greece. Additionally, it relates […]

Explore Visual Thinking Through Time

Overview Visual Thinking, Seeing Through Time is a five-book series. It explores the development of visual logic from archaic humans through early civilizations. It continues into the age of artificial intelligence. The series examines how visual‑cognitive structures shape human reasoning across the arts. These structures affect architecture and geometry. This reveals deep connections between perception, culture, […]

Launch of ‘Visual Thinking’: Five Books on Art and Geometry

“Visual Thinking, Seeing Through Time” is a five-book odyssey through the human experience in Architecture, the Arts, and Geometry from the dawn of consciousness to the frontiers of artificial intelligence.

Altair Designs and Jules Bourgoin. Bridges MathArt 2025.

Jules Bourgoin was a master of Early Islamic visual logic.

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 […]

VISUAL LOGIC: FIRST SIGNS – ICE AGE TO 3,000 BCE

“3D Thinking” Page 15. Evolution of signs towards symbols from 70,000 to 5,000 years ago – where the European ice age ended around 14,000 years ago. We see directional lines that criss-cross to form triangular shapes, shapes composed of directional lines that appear rectangular, linear arrangements of dots, ‘bell’ like enclosed shapes, feather like forms, […]

3D THINKING PRE-ORDER FOR APRIL/MAY 2018

PRE-ORDER NOW! Available  Amazon USA, Amazon UK, Waterstones UK. and through other major distributors. Link for Book Description Second Description and Reviews

Exhibition HD “Dynamic Geometry” Animation

https://www.youtube.com/watch?v=QRTgAUEdg7c&t=78sThis is a low res extract from a large HD “Dynamic Geometry,” animation from a machine I built in 1972 – one of the many dynamic geometry animations created for exhibition. Please see the “Exhibition and Lectures” section of this website. 

Exhibition Animation From Images Design Books

Here’s a second animation using the same Images design as before. Actually this is the first animation that I actually put together using Adobe’s “After Effects.” Will keep improving the animations and hope to be a bit more adventurous!

TV, radio, newspaper, book signing

  Local TV: Young Inventors – Monday, March 26th – PCTV @ 8:40am (Mountain Time USA) Local Newspaper:  Young Inventors – Saturday, March 31st edition  – Park Record (Park City, Utah, Newspaper) Local Radio: Young Inventors – Monday, April 2nd – KPCW @ 8:50am (Mountain Time USA) Dolly’s Bookstore, Park City, Utah: Images and Altair Design […]