Have updated the “Dynamic Sphere Geometry” page. Applications are architectural, design, new materials. Revised page has updated animations showing how close packing sphere arrangements (of different sized spheres) are generated, examples of sequences and an example of an architectural lattice generated by the geometry.
In geometry, a Steiner chain is a set of n circles, all of which are tangent to two given non-intersecting circles (blue and red) where n is finite and each circle in the chain is tangent to the previous and next circles in the chain.
Rethinking Randomness by Jeff Buzen introduces an alternative characterization of randomness and a new modeling framework that together explain the improbable success of these probabilistic models. Jeff used one of my close packing circle arrangements with a corresponding line lattice (connecting circle contacting points) and then an apparently random image selection (cover design) conjured by the […]
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 […]
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 […]
