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 […]
Category: EARLY ISLAMIC PERIOD
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.
The Story of Visual Thinking—Geometry, Architecture, and the Arts. AI Audio Review.
An AI-generated 30 minute audio review of my latest book.
Girih Tiles & The Gunbad-i Qabud Tomb
Girih Tiles on the
Presentations & Workshops
PRESENTATIONS WORKSHOPS
SHAPE CHANGING POLYHEDRA
“3D Thinking” Page 238: Shape Changing Polyhedra The original idea for shape changing polyhedra came from studying muqarnas and playing with children’s building blocks. The featured image is of the Nasir al-Mulk Mosque Muqarnas in Shiraz, Iran. The building blocks were as in the photo: An introduction to the logic of this geometry can be seen in […]
A Geometry of Early Islam – Nesting Polygons
“3D Thinking” Page 190, 191: There are a number of Islamic design methodologies of which the “Nesting Polygon” method is one. The method places an arrangement of polygons within a polygon and continues infinitely placing the same but scaled arrangement within each polygon as it appears. The method was used to generate a lattice from […]
A Geometry of Early Islam – ABJAD, Circles and a Door
“3D Thinking” Pages 175 to 177 Islamic Geometry: This Seljuk period door dates from 13th-century Anatolia and stands as a possible example of a use of numeric values to communicate a message. The door’s design is based the Islamic “close-packing circle” method of design – in this case an arrangement of close-packing circles within a pentagon. The two primary numbers […]
