Understanding Operational Intelligence

Standard IQ tests measure analytic reasoning under fixed rules. They do not directly measure “Operational Intelligence.” Go to the SUPPLEMENTS Page.

From Sunflowers to God’s Divine Architecture of Life.

In response to questions from readers of the “Visual Thinking, Seeing Through Time” book series (ebook and print formats) I’ve added a SUPPLEMENTS page to this website. 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 […]

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 […]

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 […]

Young Inventor Next Class

The next Young Inventors class will be held at the Kimball Arts Center, Park City, Utah. Monday through Friday. April 9, 10, 11, 12, 13. 10:00 a.m.– 12:00 p.m. $150 (10% discount for members) materials included. (Ages 7 to 10). Register with the Kimball Arts Center. Kids are naturally inventive and inquisitive. They also work in a different time frame […]