Category: DIVINE PROPORTIONS

“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 […]

Myths and Facts, The Great Pyramid

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, Architecture, Arts, CREATIVE GEOMETRY, DIVINE PROPORTIONS, GEOMETRY OF ANCIENT EGYPT, Intelligence, PERCEPTION, SACRED ARCHITECTURE, SACRED GEOMETRY, VISUAL LOGIC, VISUAL THINKING

I have added to the SUPPLEMENTS page a response to a reader’s question: The ancient Egyptians demonstrated extraordinary ingenuity and skill in constructing the Great Pyramid of Giza, achieving remarkable feats in engineering, logistics, and architectural precision. While modern myths often attribute mystical properties or hidden codes to the pyramid, its true brilliance lies in the Egyptians’ ability to harmonize practical knowledge, religious symbolism, and cosmic alignment, creating a structure that continues to inspire awe without relying on speculative theories.

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.

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.

Nazca Lines: Spirals and Labyrinths

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, CREATIVE GEOMETRY, DIVINE PROPORTIONS, GEOMETRY THROUGH TIME, INTERACTIVE LEARNING, LABYRINTHS, LECTURES PRESENTATIONS, MIND DOODLES, PATTERNS OF PERCEPTION, PERCEPTION, PUBLICATIONS, SACRED ARCHITECTURE, SACRED GEOMETRY, VISUAL LOGIC

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 […]

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

A Presentation at the AAU in San Francisco, 2018

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, CREATIVE GEOMETRY, DIVINE PROPORTIONS, DYNAMIC SPHERE GEOMETRY, VISUAL LOGIC

https://www.youtube.com/channel/UCmmENxx1PToNtaGPfsVrkpQ Presentations: http://rogerburrowsimages.com/mission-statement/