New types of geometry for innovation in 2D and 3D
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 […]
Girih Tiles on the
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
https://www.youtube.com/channel/UCmmENxx1PToNtaGPfsVrkpQ Presentations: http://rogerburrowsimages.com/mission-statement/
“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 […]
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“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 […]
“3D Thinking” Pages 22, 292: Patterns of Perception follow a methodology that has been applied through time from antiquity to the present. The first books to appear that feature “perceptual lattices” are books on designs developed during the early Islamic period – in the middle-east, north Africa, and in Moorish Spain. References are Jules Bourgoin […]
“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 […]
