Category: DYNAMIC SPHERE GEOMETRY

Beyond the Golden Rectangle

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, Architecture, Arts, CREATIVE GEOMETRY, DIVINE PROPORTIONS, DYNAMIC SPHERE GEOMETRY, GEOMETRY THROUGH TIME, GOLDEN RATIO, LECTURES PRESENTATIONS, PATTERNS OF PERCEPTION, PERCEPTION, SACRED ARCHITECTURE, SACRED GEOMETRY, VISUAL LOGIC, VISUAL THINKING

“Golden spheres,” and their family of space filling spherical packings, offer the most fertile ground: they generate new structures and new rhythms of change, as one configuration gives way to another.

“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.”

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

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.

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/

DYNAMIC SPHERES: GOLDEN RATIO ARCHITECTURE

By DYNAMIC SPHERE GEOMETRY, GOLDEN RATIO

“3D Thinking” Page 288: A “Golden Ratio” structure extracted from a 3D lattice generated by the sphere cluster, HP1.3. See Page 271, “3D THINKING ANIMATIONS.” The lattice is created by connecting the centers of the “Golden Ratio” spheres. The illustration shows how the lattice is generated and then how the  structure is extracted from the space-filling […]

THE PYTHAGOREANS: PYTHAGOREAN TRIANGLES & CIRCLES

By DYNAMIC SPHERE GEOMETRY, PYTHAGOREANS, SACRED GEOMETRY

“3D Thinking” Page 131: An animation of the Pythagorean Theorem shown dynamically in terms of circles. In the animation the diameter of the outer circle equals the hypotenuse of the right-angled triangle. The diameters of the two inner circles/spheres equal the lengths of the other two sides of the right-angled triangle. According to the Theorem […]

DYNAMIC SPHERE GEOMETRY

By DYNAMIC SPHERE GEOMETRY

The concept originated studying the geometry of a particular window in old Cairo.   “3D Thinking” Page 264: The Dynamic Sphere Geometry is a type of 2D and 3D logic that, in the first place, generates “close-packing” tessellating arrangements of circles and spheres that infinitely fill space. Connecting circle and sphere centers or adding clipped […]

A Geometry of Early Islam – The Dynamic Circle Method

By 3D THINKING, CREATIVE GEOMETRY, DYNAMIC SPHERE GEOMETRY, EARLY ISLAMIC PERIOD, SACRED GEOMETRY

“3D Thinking” Pages 187, 274: Using close-packing circles to create surface designs, during the early years of Islam, requires a method to generate different close-packing circle arrangements. The dynamic sphere geometry provides such a method. Applying the geometry, starting with a 5-circle arrangement within the unit triangle of a square, generates many arrangements including the […]