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Tag: architecture
A Geometry of Early Islam – Nesting Polygons
“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
“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 […]
Geometry Architecture Golden Ratio Proportions
“3D Thinking” Pages 280 to 289: The drawing shows an example of how a Golden Ratio “Ideation Lattice” is derived from the “Dynamic Sphere” geometry – and then how an architectural structure is extracted from the lattice. In this example, connecting sphere centers creates the lattice. The sphere packing is the “Golden Ratio” packing. Software […]
Geometry Architecture Dynamic Sphere Lattices
“Ideation lattices” are three-dimensional latticed generated by the “Dynamic Sphere Geometry” to stimulate “visual logic” and creativity. They are the three-dimensional equivalent of “Perceptual Patterns.” Form extracted from an ideation lattice generated by the dynamic sphere geometry
Creative Geometry of Close Packing Spheres
I first developed the Dynamic Sphere Geometry in the late sixties; where spheres transform from one close-packing relationship to another, usually in finite sequences. The geometry intrigued me because most of the sphere arrangements generated had never been seen before and were unique. Since first presenting the Dynamic Sphere Geometry, in the early seventies, I […]