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

space, a cell of such a honeycomb is said to be a space-filling polyhedron. A necessary condition for a polyhedron to be a space-filling polyhedron is...

In geometry, an enneahedron (or nonahedron) is a polyhedron with nine faces. There are 2606 types of convex enneahedron, each having a different pattern...

Space filling or spacefilling may refer to: Space-filling curve Space-filling model, in chemistry Space-filling polyhedron Space-filling tree Space-filling...

dodecahedron is a space-filling polyhedron, meaning it can be applied to tessellate three-dimensional space: it can be stacked to fill a space, much like hexagons...

triangle. As a polyhedron whose faces are regular polygons, it is a Johnson solid. It is a space-filling polyhedron. Its dual polyhedron is also an octahedron...

to the original polyhedron. A space-filling polyhedron packs with copies of itself to fill space. Such a close-packing or space-filling is often called...

In geometry, the ten-of-diamonds decahedron is a space-filling polyhedron with 10 faces, 2 opposite rhombi with orthogonal major axes, connected by 8 identical...

Enneagonal pyramid (9-pyramid) Ten of diamonds decahedron - a space-filling polyhedron with D2d symmetry. Gerard Michon: Counting Polyhedra Sloane, N...

condition for being a space-filling polyhedron, and a polyhedron can be cut up and reassembled into a space-filling polyhedron if and only if its Dehn...

a special kind of space-filling polyhedron, defined as the Voronoi cell of a symmetric Delone set. Three-dimensional Euclidean space can be completely...

failed Johnson solid for not being strictly convex. This is also a space-filling polyhedron, and matches the geometry of the gyroelongated triangular prismatic...

dodecahedron, it is a space-filling polyhedron, one of the five types of parallelohedron identified by Evgraf Fedorov that tile space face-to-face by translations...

the Goldberg polyhedron GIV(1,1), containing square and hexagonal faces. Like the cube, it can tessellate (or "pack") 3-dimensional space, as a permutohedron...

are space-filling. The name of hendecahedron is based on its meaning. Hen- represents one. Deca represents ten, and when combined with the polyhedron suffix...

Wayback Machine, 1996, George W. Hart, georgehart.com [2016-1-10] A space-filling polyhedron with 13 faces Archived 2017-07-01 at the Wayback Machine science...

Peter Jon Pearce, p. 48 Spacefilling systems based on rhombic dodecahedron Weisstein, Eric W. "Space-filling polyhedron". MathWorld. VRML model [1] v t e...

honeycomb. It is also a space-filling tile in three-dimensional space in which the construction begins by attaching a polyhedron onto its faces without...

dodecahedron, but a different geometry. It is a parallelohedron, a polyhedron that can tile space with translated copies of itself. This shape appears in a 1752...

tetrahedron is a convex polyhedron made from 4 hexagons and 12 isosceles triangles. It can be used to tessellate three-dimensional space, making the triakis...

a space-filling polyhedron, elongated gyrobifastigium, where cube and two opposite triangular prisms are augmented together as a single polyhedron: Olshevsky...

related to Rhombic dodecahedral honeycomb. Weisstein, Eric W. "Space-filling polyhedron". MathWorld. Examples of Housing Construction using this geometry...

In geometry, a uniform polyhedron has regular polygons as faces and is vertex-transitive—there is an isometry mapping any vertex onto any other. It follows...

books on the geometry of natural structure, the discovery of a new space-filling polyhedron, the development of theoretical principles of Catenatic Geometry...

tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertices...

that can tessellate space alongside other uniform prisms, has 14 faces. The Szilassi polyhedron and its dual, the Császár polyhedron, are the simplest toroidal...

cancel each other out. Usage of the "neo filling" makes the compound of five octahemioctahedra a hollow polyhedron compound. Skilling, John (1976), "Uniform...

from their centroids and filling them with squares. Snub is a construction process of polyhedra by separating the polyhedron faces, twisting their faces...

name Partito Democratico Cristiano Sammarinese) SCD prototile, a space-filling polyhedron South Carolina Department of Public Safety (SCDPS) This disambiguation...

combinatorially equivalent form of the elongated gyrobifastigium, a related space-filling polyhedron, can be obtained by instead subdividing two opposite faces into...