Golden Rhombohedra, Acute, Obtuse, Golden Ratio, Dodecahedron, Rhombic Triacontahedron

Golden Rhombohedra, Acute, Obtuse, Golden Ratio, Dodecahedron, Rhombic Triacontahedron

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Golden Rhombohedra Starting from a golden rhombus, we can build a 30-faced rhombic triacontahedron, which can be further used to build a golden icosahedron, a golden (Bilinski) dodecahedron. Then, from a golden dodecahedron, we can obtain two types of golden rhombohedra (six-faced polyhedra)—the acute form the obtuse form. They are strange on the screen but look and fit together beautifully once you have them in your hands. There are certainly other ways to make these. But that is what I went through. Simple and complex as they are, all children should have a chance to play with them, to get a feel for mathematics! The rich connections are everywhere in these wonderful mathematical gems! Two sizes (short diagonal of a rhombus) are included: 25mm and 50mm. How to Play 2 acute ones + 2 obtuse ones => 1 golden dodecahedron; 10 acute ones + 10 obtuse ones => 1 golden rhombic triacontahedron. Referenceshttp://www.cutoutfoldup.com/979-golden-rhombohedra.phphttp://www.georgehart.com/virtual-polyhedra/dissection-rt.htmlhttps://en.wikipedia.org/wiki/Rhombic_triacontahedron

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