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Tag Archives: rhombic dodecahedron
Saturnian Rhombic Dodecahedron
The image of Saturn was taken by NASA, and I put it on the faces of a rhombic dodecahedron, and created this image, with a program called Stella 4d. You can try this program for free at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombic dodecahedron, Saturn
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Space-Filling Truncated Octahedra in a Rhombic Dodecahedral Cluster
The truncated octahedron is well-known 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, space-filling, truncated octahedron
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Op Art Covering a Rhombic Dodecahedron
Programs used to make this included Geometer’s Sketchpad, MS-Paint, 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, Five-Color 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
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