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|align=center|[[File:Space-Filling Triskaidecahedron.svg|120px]]<br/>Space-filling tridecahedron ...faces that were all congruent, it would still not be considered a regular polyhedra. In addition to being congruent on each face of a regular polyhedron, the a ...

...the '''Hill tetrahedra''' are a family of [[Space-filling polyhedron|space-filling]] [[tetrahedron|tetrahedra]]. They were discovered in 1896 by [[Micaiah Jo ...l=https://demonstrations.wolfram.com/SpaceFillingTetrahedra/|title = Space-Filling Tetrahedra - Wolfram Demonstrations Project}}</ref> ...

{{Short description|Convex polyhedron that fills space isohedrally}} ...'stereohedron''' is a [[convex polyhedron]] that [[isohedral tiling|fills space isohedrally]], meaning that the [[symmetries]] of the tiling take any copy ...

{{Short description|Type of space-filling polyhedron}} In [[geometry]], a '''plesiohedron''' is a special kind of [[space-filling polyhedron]], defined as the [[Voronoi diagram|Voronoi cell]] of a symmetri ...

...it is possible to fill 3/4 of the volume of three-dimensional [[Euclidean space]] by three sets of infinitely-long square [[prism (geometry)|prism]]s align ...lower bound application.{{r|py}} Like the [[Schönhardt polyhedron]], these polyhedra have no [[Triangulation (geometry)|triangulation]] into tetrahedra unless a ...

...This holds even if the reals are replaced by a more general [[topological space]]; see [[Kuratowski's closure-complement problem]]. Several distinguished [[polyhedra]] in [[Three-dimensional space|three dimensions]] contain fourteen [[Face (geometry)|faces]] or [[Vertex ( ...

{{Short description|Polyhedron that tiles space by translation}} ...[Translation (geometry)|translated]] without rotations to fill [[Euclidean space]]. This produces a [[Honeycomb (geometry)|honeycomb]] in which all copies o ...

| type = [[Parallelohedron]]<br>[[Space-filling polyhedron]]<br>[[Zonohedron]] | title = Polyhedra: One of the most charming chapters of geometry ...

...-radius spheres. This tetrahedron anchors a set of concentrically arranged polyhedra proportioned in a canonical manner and inter-connected by a twisting-contra | space-filler, 2As + 1B ...

The hexamolybdate image below shows the coordination polyhedra. The space filling model of the heptamolybdate image shows the close packed nature of the oxyg File:Heptamolybdate space fill.png|Heptamolybdate with space filling oxygen atoms ...

...e occurs as small [[Euhedral and anhedral|anhedral]] to subhedral crystals filling interstices between the rock-forming silicates.<ref name="Canadian">{{cite The eponymous Perovskite {{chem2|CaTiO3}} crystallizes in the ''Pbnm'' [[space group]] (No. 62) with [[lattice constant]]s ''a''&nbsp;=&nbsp;5.39&nbsp;[[A ...

{{short description|Tiling of hyperbolic 3-space by uniform polyhedra}} ...form polyhedral]] [[Cell (geometry)|cells]]. In 3-dimensional [[hyperbolic space]] there are nine [[Coxeter group]] families of compact [[convex uniform hon ...

...es (vertices of the triangles) are circled.|When {{math|1=''n'' = 3}}, the space {{mvar|V}} is a two-dimensional plane and the reflections are across lines. In the [[Euclidean space]] <math>\R^{n}</math> with coordinates <math>(x_1, \ldots, x_n)</math>, the ...