Tag: Geometry

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

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 […]

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, CREATIVE GEOMETRY, 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.

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 […]

3D THINKING PRE-ORDER FOR APRIL/MAY 2018

By 3D THINKING, CREATIVE GEOMETRY, GEOMETRY THROUGH TIME, PUBLICATIONS

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

Geometry Ancient Egypt – Pyramid Proportions

By DIVINE PROPORTIONS, GEOMETRY OF ANCIENT EGYPT, GEOMETRY THROUGH TIME, SACRED ARCHITECTURE, SACRED GEOMETRY

“3D Thinking” Page 74 to 87: The slope ratios, dimensions, construction, and alignment methods, of the Pyramids of Ancient Egypt: THE SLOPES OF THE PYRAMIDS OF EGYPT Given the whole number traditions of ancient Egypt one would expect the slopes of the pyramids to be in whole number proportions too. Whole number grids of square […]

Creative Geometry Octagon Design

A Geometry of Early Islam – Nesting Polygons

By 3D THINKING, CREATIVE GEOMETRY, EARLY ISLAMIC PERIOD, GEOMETRY THROUGH TIME, ISLAMIC ART, NESTING POLYGONS, SACRED ARCHITECTURE, SACRED GEOMETRY

“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

By 3D THINKING, ABJAD SYSTEM, CREATIVE GEOMETRY, EARLY ISLAMIC PERIOD, GEOMETRY THROUGH TIME, ISLAMIC ART, SACRED ARCHITECTURE, SACRED GEOMETRY

“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 […]