Category: GEOMETRY THROUGH TIME

Geometrical systems of the past, present, and future.

“The Story of Visual Imagination in Architecture and the Arts”

By Architecture, Arts, CREATIVE GEOMETRY, GEOMETRY THROUGH TIME, PERCEPTION

New Title: Review copies only. Available for critique, review, and endorsement. “With over one thousand drawings and photographs, this beautifully illustrated book traces the development of visual imagination in the arts and architecture from the ‘first steps’ some 100,000 years ago to the near future. The author describes the development of perception, geometry, and imagination […]

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 […]

Labyrinths Mysteries and Methods

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, CREATIVE GEOMETRY, GEOMETRY THROUGH TIME, LABYRINTHS, LECTURES PRESENTATIONS, SACRED ARCHITECTURE, SACRED GEOMETRY, VISUAL LOGIC

Just posted a video supplement to my 2020 Bridges Paper “Labyrinths Mysteries and Methods,” on my youtube channel rogerburrowsimages https://www.youtube.com/watch?v=z5td10JrcrU. The link to the paper is http://archive.bridgesmathart.org/202… The paper and the supplement present five methods for constructing labyrinths that can be used to create ancient labyrinths or used to create new ones as far as […]

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

FIRE ALTARS OF THE VEDAS – A LOGICAL PUZZLE FROM ANCIENT INDIA

By 3D THINKING, 3D THINKING IN DESIGN AND ARCHITECTURE, ABJAD SYSTEM, ALTAIR DESIGNS, CREATIVE GEOMETRY, DIVINE PROPORTIONS, GEOMETRY THROUGH TIME, INDUS VALLEY, LECTURES PRESENTATIONS, MIND DOODLES, PATTERNS OF PERCEPTION, PERCEPTION, SACRED ARCHITECTURE, SACRED GEOMETRY

“3D Thinking” Pages 67 to 72: Vedic Fire Altars present a logical puzzle for those building them. Firstly, the surface area has to be in direct proportion to the height of the individual whose task it is to construct the altar. Secondly, there is to be a precise alignment of the altar with the four […]

LABRYNTHS MYSTERIES and METHODS

By CREATIVE GEOMETRY, GEOMETRY THROUGH TIME, LABYRINTHS, SACRED ARCHITECTURE, SACRED GEOMETRY

“3D Thinking” Page 32 Neolithic Geometries: Labyrinths are constructed with a single path that winds forwards and backwards, multiple times, before arriving at a central point. The oldest surviving labyrinths appear as Neolithic and Bronze Age rock carvings – a petroglyph labyrinth in Usgalimol, India has been estimated to be 10,000 years old. By the time of the middle ages labyrinths […]

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 […]