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 Polyhedron with 152 Faces, Including 60 Heptagons
 Zonohedrified Rhombicosidodecahedron with 870 Rhombic Faces
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Tag Archives: rhombus
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
The Fractiles7 Refrigerator Experiment, Part I
To begin this experiment, I first purchased two refrigeratorsized Fractiles7 sets (available at http://fractiles.com/), and then, early on a Sunday, quietly arranged these rhombusshaped magnets on the refrigerator in our apartment (population: 4, which includes two math teachers and two teenagers), … Continue reading
Posted in Education, Life, Mathematics
Tagged Education, experiment, fractiles, fractiles7, geometry, magnet, Mathematics, refrigerator, rhombi, rhombus, tile, tiling
2 Comments
A Forgotten Mandala, from 2010
Someone found this, and “liked” it, in my old Facebook pictures. I had forgotten all about it, until this happened. It is a mandala, made of rhombi, with ninefold symmetry, made in 2010 with Geometer’s Sketchpad — two years before … Continue reading
Posted in Art, Mandalas, Mathematics
Tagged 9, Art, geometrical, geometry, mandala, mathematical, Mathematics, nine, ninefold, rhombi, rhombus
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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