Tag Archives: rhombus

Eight Kite-Rhombus Solids, Plus Five All-Kite Polyhedra — the Convex Hulls of the Thirteen Archimedean-Catalan Compounds

In a kite-rhombus solid, or KRS, all faces are either kites or rhombi, and there are at least some of both of these quadrilateral-types as faces. I have found eight such polyhedra, all of which are formed by creating the … Continue reading

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A Pinwheel of Rhombi #2

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A Pinwheel of Rhombi

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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.

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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.

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Fractiles’ Mandala, Based on Angles of Pi/7 Radians

Although this was based on something I constructed using the Fractiles-7 magnetic tiling toy, I did not have enough magnetic pieces to finish this. The idea was, therefore, converted into a (non-Euclidean) construction using Geometer’s Sketchpad, and then refined using … Continue reading

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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 whole-number multiple of that amount, up to 8π/9 radians.

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