A Fuller Explanation

Part of the series Design Science Collection pp 175-188

“All-Space” Filling: New Types of Packing Crates

  • Amy C. EdmondsonAffiliated with

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Fuller in his characteristic drive for verbal accuracy updates geome­try’s conventional term “space filling” with his own more descriptive (and predictably longer) “all-space filling.” Here’s the puzzle: which of the polyhedra introduced so far can pack together in such a way that all available volume is occupied without any gaps?