Category: EARLY ISLAMIC PERIOD

“Coincidence and Randomness, The Architecture of Pattern”. A new essay has been added to SUPPLEMENTS.

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, ALTAIR DESIGNS, Architecture, Arts, CREATIVE GEOMETRY, DIVINE PROPORTIONS, DYNAMIC SPHERE GEOMETRY, EARLY ISLAMIC PERIOD, FRACTALS, GEOMETRY THROUGH TIME, GOLDEN RATIO, Intelligence, INTERACTIVE LEARNING, IQ, LECTURES PRESENTATIONS, PATTERNS OF PERCEPTION, PERCEPTION, SACRED ARCHITECTURE, SACRED GEOMETRY, VISUAL LOGIC

“We live within a vast ‘ocean’ of randomness, navigating our way by the ‘islands’ of order we discover—and sometimes create—within it.”

Cultivating Perceptual Reasoning Through Altair Designs

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, ALTAIR DESIGNS, Architecture, Arts, CREATIVE GEOMETRY, DIVINE PROPORTIONS, EARLY ISLAMIC PERIOD, GEOMETRY THROUGH TIME, INTERACTIVE LEARNING, MIND DOODLES, PATTERNS OF PERCEPTION, PERCEPTION, SACRED GEOMETRY, VISUAL LOGIC

As a response to a reader’s question, please see a short article, GO TO THE SUPPLEMENTS PAGE, about Altair as a means to cultivate perceptual and adaptive reasoning. My involvement with what later became known as Altair Designs began in 1968, while working in London with Dr. Ensor Holiday. The initial impulse arose from a […]

From Sunflowers to God’s Divine Architecture of Life.

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, ABJAD SYSTEM, ALTAIR DESIGNS, Architecture, Arts, CREATIVE GEOMETRY, DIVINE PROPORTIONS, DYNAMIC SPHERE GEOMETRY, EARLY ISLAMIC PERIOD, FRACTALS, GEOMETRY OF ANCIENT EGYPT, GEOMETRY THROUGH TIME, GOLDEN RATIO, INDUS VALLEY, ISLAMIC ART, LE CORBUSIER, NESTING POLYGONS, PATTERNS OF PERCEPTION, PERCEPTION, PYTHAGOREANS, SACRED ARCHITECTURE, SACRED GEOMETRY, VISUAL LOGIC, VISUAL THINKING

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 […]

Book Covers

Explore Visual Thinking Through Time

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, ABJAD SYSTEM, ALTAIR DESIGNS, Architecture, Arts, CREATIVE GEOMETRY, DIVINE PROPORTIONS, EARLY ISLAMIC PERIOD, GEOMETRY OF ANCIENT CHINA, GEOMETRY OF ANCIENT EGYPT, GEOMETRY THROUGH TIME, GOLDEN RATIO, INDUS VALLEY, ISLAMIC ART, LABYRINTHS, LE CORBUSIER, NESTING POLYGONS, PATTERNS OF PERCEPTION, PERCEPTION, PYTHAGOREANS, SACRED ARCHITECTURE, SACRED GEOMETRY, VISUAL LOGIC

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, […]

Book Covers

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

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, ABJAD SYSTEM, ALTAIR DESIGNS, Architecture, Arts, CREATIVE GEOMETRY, DIVINE PROPORTIONS, DYNAMIC SPHERE GEOMETRY, EARLY ISLAMIC PERIOD, FRACTALS, GEOMETRY OF ANCIENT CHINA, GEOMETRY OF ANCIENT EGYPT, GEOMETRY THROUGH TIME, GOLDEN RATIO, IMAGES DESIGN BOOKS, INDUS VALLEY, INTERACTIVE LEARNING, ISLAMIC ART, LABYRINTHS, LE CORBUSIER, NESTING POLYGONS, PATTERNS OF PERCEPTION, PERCEPTION, PYTHAGOREANS, SACRED ARCHITECTURE, SACRED GEOMETRY, SHAPE CHANGING POLYHEDRA, VISUAL LOGIC

“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.

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, ALTAIR DESIGNS, Architecture, Arts, EARLY ISLAMIC PERIOD, GEOMETRY THROUGH TIME, IMAGES DESIGN BOOKS

Jules Bourgoin was a master of Early Islamic visual logic.

The Story of Visual Thinking—Geometry, Architecture, and the Arts. AI Audio Review.

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, Architecture, Arts, CREATIVE GEOMETRY, DIVINE PROPORTIONS, EARLY ISLAMIC PERIOD, GEOMETRY OF ANCIENT EGYPT, GEOMETRY THROUGH TIME, GOLDEN RATIO, IMAGES DESIGN BOOKS, INDUS VALLEY, INTERACTIVE LEARNING, ISLAMIC ART, LE CORBUSIER, PATTERNS OF PERCEPTION, PERCEPTION, PYTHAGOREANS, SACRED ARCHITECTURE, SACRED GEOMETRY, VISUAL LOGIC

An AI-generated 30 minute audio review of my latest book.

Girih Tiles & The Gunbad-i Qabud Tomb

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, CREATIVE GEOMETRY, EARLY ISLAMIC PERIOD, GEOMETRY THROUGH TIME, ISLAMIC ART, PATTERNS OF PERCEPTION, SACRED ARCHITECTURE, SACRED GEOMETRY, VISUAL LOGIC

Girih Tiles on the

Presentations & Workshops

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, ABJAD SYSTEM, ALTAIR DESIGNS, CREATIVE GEOMETRY, DIVINE PROPORTIONS, DYNAMIC SPHERE GEOMETRY, EARLY ISLAMIC PERIOD, GEOMETRY OF ANCIENT CHINA, GEOMETRY OF ANCIENT EGYPT, GEOMETRY THROUGH TIME, GOLDEN RATIO, IMAGES DESIGN BOOKS, INDUS VALLEY, ISLAMIC ART, LABYRINTHS, LE CORBUSIER, LECTURES PRESENTATIONS, MIND DOODLES, NESTING POLYGONS, PATTERNS OF PERCEPTION, PERCEPTION, PYTHAGOREANS, SACRED GEOMETRY, SHAPE CHANGING POLYHEDRA, VISUAL LOGIC

PRESENTATIONS WORKSHOPS

SHAPE CHANGING POLYHEDRA

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, EARLY ISLAMIC PERIOD, 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 […]