Build polyhedral models that fill 3D space with no gaps or overlaps.
Build Space-filling Polyhedra

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What polyhedra are space filling by themselves? What about combinations of multiple polyhedra?
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What are zonohedra, stereohedra, parallelohedra, and plesiohedra? How are they related? What is centrally symmetry?
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Who is Evgraf Fedorov? What are Space Groups and Wallpaper Groups?
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How do different space filling structural designs differ in density, stiffness, and other physical properties?
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What are examples of natural and man-made space filling structures at different physical scales from nanostructures to large scale architecture?