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Tag Archives: truncated octahedron
SpaceFilling Truncated Octahedra in a Rhombic Dodecahedral Cluster
The truncated octahedron is wellknown as the only Archimedean solid which can fill space, by itself, without leaving any gaps. The cluster below shows this, and has the overall shape of a rhombic dodecahedron. It’s easier to see the rhombic … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombic dodecahedron, spacefilling, truncated octahedron
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A Zonohedron Featuring Hexadecagons
I stumbled upon this zonohedron by adding zones to a truncated octahedron, based on its faces, edges, and vertices. It was created using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php. To the best of my recollection, this … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, truncated octahedron, zonohedra, zonohedron
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A SpaceFilling Lattice of Truncated Octahedra
Truncated octahedra are among the special polyhedra which can fill space without leaving any gaps. There are others, as well. This image was created using Stella 4d, software you may try, for yourself, right here. There is a free “try it … Continue reading
Posted in Mathematics
Tagged geometry, honeycomb, lattice, Mathematics, polyhedra, polyhedron, spacefilling, truncated octahedra, truncated octahedron
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Bowtie Cubes in a Polyhedral Honeycomb
This polyhedron has been described here as a “bowtie cube.” It is possible to augment its six dodecagonal faces with additional bowtie cubes. Also, the bowtie cube’s hexagonal faces may be augmented by truncated octahedra. These two polyhedra “tessellate” space, together … Continue reading
Posted in Mathematics
Tagged 3d, bowtie cube, geometry, honeycomb, Mathematics, polyhedra, polyhedral, polyhedron, symmetrahedron, symmetrohedra, threedimensional, truncated octahedron
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The Compound of the Truncated Octahedron and the Rhombic Dodecahedron
I created this compound using Stella 4d, software you may try at this website.
Posted in Mathematics
Tagged compound, geometry, Mathematics, polyhedra, polyhedron, rhombic dodecahedron, truncated octahedron
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Two Compounds with Pyritohedral Symmetry: the Icosidodecahedron / Truncated Octahedron Compound, and the Rhombic Triacontahedron / Tetrakis Cube Compound
Stella 4d, a program you can try here, was used to create these two compounds. Both have pyritohedral symmetry: the symmetry of a standard volleyball. The two compounds are also duals.