Nazca Lines: Spirals and Labyrinths

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

PRESENTATIONS WORKSHOPS

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

“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 […]

Geometry Ancient Egypt – Pyramid Proportions

“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 […]

Geometry Divine Proportions

“3D Thinking” Pages 67, 75, 77, 210 to 213: Ideas of “Divine Proportions” originated in the distant past. For the Pythagoreans whole numbers resonated throughout the cosmos in sacred music, in geometry and in number. For the Harrapans of the Indus Valley they found expression in fire altars of different shapes but of constant areas […]

Geometry New Golden Ratio Icon

This new rogerburrowsimages.com icon shows the relationship between Le Corbusier’s ‘man’ and the “Golden Sphere” packing generated by the author’s “Dynamic Sphere” geometry. The packing generates three-dimensional “ideation lattices” from which design, art, and architectural forms can be extracted. As much as DaVinci’e “Vitruvian Man” represents a “whole number” proportionate system that dates back to […]

Nancy Stetson’s Art Studio, Boulder, Colorado

We went to visit an old friend of mine, Nancy Stetson, in Boulder, Colorado, two weekends ago. About thirty-five years ago Nancy asked me if I would design an art studio, to be built on the foothills just above Boulder. This I did using one of the geometries that I had developed and that generated […]