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 The Eighteenth Stellation of the Rhombicosidodecahedron Is an Interesting Polyhedral Compound
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Tag Archives: rhombi
Eight KiteRhombus Solids, Plus Five AllKite Polyhedra — the Convex Hulls of the Thirteen ArchimedeanCatalan Compounds
In a kiterhombus solid, or KRS, all faces are either kites or rhombi, and there are at least some of both of these quadrilateraltypes as faces. I have found eight such polyhedra, all of which are formed by creating the … Continue reading
Posted in Mathematics
Tagged Archimedean, Catalan, convex hull, dual, duality, geometry, kite, Mathematics, polyehdron, polyhedra, rhombi, rhombus, solid
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Zonohedrified Rhombicosidodecahedron with 870 Rhombic Faces
Manipulating known polyhedra in the effort to find new ones, as I did here, is made easy with Stella 4d, a program available at this website.
Posted in Mathematics
Tagged 870, geometry, Mathematics, polyhedra, polyhedron, rhombi, rhombic faces, rhombus, zonohedra, zonohedron
2 Comments
A Rhombic Cage
This cage is made of 36 identical rhombi, and has six openings. I made it with Stella 4d, a program available at this website.
Posted in Art, Mathematics
Tagged Art, cage, geometric, geometrical, mathematical, rhombi, rhombic, rhombus
2 Comments
Fractiles’ Mandala, Based on Angles of Pi/7 Radians
Although this was based on something I constructed using the Fractiles7 magnetic tiling toy, I did not have enough magnetic pieces to finish this. The idea was, therefore, converted into a (nonEuclidean) construction using Geometer’s Sketchpad, and then refined using … Continue reading
Posted in Art, Mandalas, Mathematics
Tagged 14, 7, Art, fractiles, fractiles7, Geometer's, geometric, geometrical, geometry, mandala, mathematical, Mathematics, pi/7, radial, radian, rhombi, rhombus, Sketchpad, tessellation, tiling
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A Rhombic Mandala Based on Pi Over Nine
The interior angles in these rhombi all measure π/9 radians, or some wholenumber multiple of that amount, up to 8π/9 radians.
Posted in Art, Mandalas, Mathematics
Tagged 9, Art, geometric, geometrical, geometry, mandala, mathematical, Mathematics, nine, ninth, radian, rhombi, rhombus, rhombuses
1 Comment