A space-filling polyhedron is a polyhedron that can be used to fill all of three-dimensional space via translations, rotations and/or reflections.

A space-filling polyhedron is a polyhedron which can be used to generate a tessellation of space.

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Mar 18, 2019 · Five fascinating and beautiful ways to fill space with polyhedra.

A space filling shape is a cellular structure whose replicas together can fill all of space watertight, ie without having any voids between them.

A polyhedron "fills the space" if it allows to achieve an assembly that fills the entire space (without voids).

Only five three-dimensional geometric solids are suitable to be arrayed: the cube, prism, rhombic dodecahedron, elongated dodecahedron, and truncated ...

Oct 2, 2023 · The cube is the only Platonic solid which fills 3-dimensional space. A little research found me this: mathworld.wolfram.com/Space ...

Jun 27, 2011 · The resulting images clearly showed how using four small tetrahedra and two larger ones could efficiently fill the space. “This work is elegant ...

Sep 11, 2019 · There are a class of solids called space-filling solids that will stack together without gaps. Cubes, of course. Octahedra and tetrahedra ...

A space-filling polyhedron is a Polyhedron which can be used to generate a Tessellation of space. There exists one 16-sided space-filling Polyhedron.