This is an ongoing journal of my personal explorations into the geometry of Richard Buckminster Fuller.
The following articles are arranged chronologically. An alphabetical list may be found in the sidebar. An index to the articles may be found here.
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There’s Just One Way to Stack Cannonballs
It may seem that there are at least three ways of stacking cannonballs, i.e., from a triangular base to form a pyramid with three sides; from a square base to form a pyramid with four sides; or as a shallow 3-sided pyramid. But really, there’s only one way. All three arrangements coexist in the radial… Read more
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Jitterbug Animations with Spheres
When modeled as spheres, the jitterbug transformation produces some curious patterns as the spheres merge and diverge. … Continue reading → Read more
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Spheres and Spaces
The space between radially close-packed spheres is a continuous web of concave octahedra and concave vector equilibria (VEs). In the vector model, the concave VE is at the center of every octahedron, and the concave octahedron is at the center of every tetrahedron. The former are the spaces that transform into spheres, and the latter… Read more