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Tag Archives: rhombic dodecahedron
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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Op Art Covering a Rhombic Dodecahedron
Programs used to make this included Geometer’s Sketchpad, MSPaint, and Stella 4d: Polyhedron Navigator, which was used to assemble everything else into what you see here. You may try Stella for free at http://www.software3d.com/Stella.php.
Posted in Art, Mathematics
Tagged Art, geometry, Mathematics, op, polyhedra, polyhedron, rhombic dodecahedron
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The Compound of the Rhombic Dodecahedron and Its Own Third Stellation
I used Stella 4d to make this polyhedral compound, and this program may be tried for free at this website.
A Transparent Rhombic Dodecahedron
Created using Stella 4d, a program available at this website: http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombic dodecahedron
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A Hollow, FiveColor Version of the Compound of Five Rhombic Dodecahedra
I made this using Stella 4d, software you can find at http://www.software3d.com/Stella.php. I also make a second version, with larger spheres and cylinders for the vertices and edges:
Posted in Mathematics
Tagged compound, five, geometry, Mathematics, polyhedra, polyhedron, rhombic dodecahedra, rhombic dodecahedron
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A Rhombic Ring of Icosahedra, Leading to a Rhombic Dodecahedron Made of Icosahedra
As it turns out, eight icosahedra form this rhombic ring, by augmentation: Measured from the centers of these icosahedra, the long and short diagonal of this rhombus are in a (√2):1 ratio. How do I know this? Because that’s the … Continue reading
Posted in Mathematics
Tagged geometry, icosahedra, icosahedron, lattice, Mathematics, polyhedra, polyhedron, rhombic, rhombic dodecahedra, rhombic dodecahedron, rhombus, ring
2 Comments
Various Views of Three Different Polyhedral Compounds: Those of (1) Five Cuboctahedra, (2) Five of Its Dual, the Rhombic Dodecahedron, and (3) Ten Components — Five Each, of Both Polyhedra.
Polyhedral compounds differ in the amount of effort needed to understand their internal structure, as well as the way the compounds’ components are assembled, relative to each other. This compound, the compound of five cuboctahedra, and those related to it, … Continue reading
Posted in Mathematics
Tagged 10, 5, compound, cuboctahedra, cuboctahedron, five, geometry, Mathematics, polyhedra, polyhedral, polyhedron, rhombic dodecahedra, rhombic dodecahedron, ten
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