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Tag Archives: geometry
A Rhombic Dodecahedron, Made of Icosahedra, and Tall Triangular Antiprisms
Software used: Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, rhombic
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Honeycomb Made of Cuboctahedra and Octahedra
This is the threedimensional version of what is called a tessellation in two dimensions. It fills space, and can be continued in all directions. Software used: Stella 4d, available here.
Posted in Mathematics
Tagged cuboctahedra, cuboctahedron, geometry, honeycomb, lattice, Mathematics, octahedra, octahedron, polyhedra, polyhedron
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Spectral Circles on a Cuboctahedron
I used three programs to make this: Geometer’s Sketchpad, MSPaint, and Stella 4d. The third of these may be tried for free at http://www.software3d.com/Stella.php.
Posted in Art, Mathematics
Tagged Art, cuboctahedron, geometric, geometrical, geometry, mathematical, Mathematics, polyhedra, polyhedron
4 Comments
Augmenting the Octahedron with Octahedra, Repeatedly.
This is an octahedron. If you augment each face of an octahedron with more octahedra, you end up with this. One can then augment each triangular face of this with yet more octahedra. Here’s the next iteration: This could, of … Continue reading
Posted in Mathematics
Tagged augment, augmentation, augmented, geometry, Mathematics, octahedra, octahedron, polyehdral, polyhedra, polyhedron
1 Comment
Two Polyhedra, Each Featuring Enneagons and Octagons
I used Stella 4d: Polyhedron Navigator to make these. You can try it for yourself at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged enneagon, geometry, Mathematics, nonagon, octagon, polyhedra, polyhedron
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A Flock of 32 Rhombic Triacontahedra
Software used: Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombic, triacontahedra, triacontahedron
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A Flock of Rhombicosidodecahedra
It’s a littleknown fact that rhombicosidodecahedra prefer to fly in flocks of sixty, as seen here. I made this using Stella 4d, available at this website.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, rhombicosidodecahedra, rhombicosidodecahedron
1 Comment