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Tag Archives: small stellated dodecahedron
The Compound of the Octahedron and the Small Stellated Dodecahedron
I made this rotating virtual model using Stella 4d: Polyhedron Navigator, which you can try for yourself at http://www.software3d.com/Stella.php. This solid is different from most twopart polyhedral compounds because an unusually high fraction of one polyhedron, the yellow octahedron, is … Continue reading
Posted in Mathematics
Tagged compound, geometry, Mathematics, octahedron, polyhedra, polyhedral, polyhedron, small stellated dodecahedron
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Conjoined Small Stellated Dodecahedral Triplets
The central small stellated dodecahedron is augmented on two opposite starfaces by additional small stellated dodecahedra. I made this using Stella 4d: Polyhedron Navigator, available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged conjoined, geometry, Mathematics, polyhedra, polyhedron, small stellated dodecahedra, small stellated dodecahedron, three, triplet, triplets
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A Special Type of Compound, Built with Zome, of the Great and Small Stellated Dodecahedra
For years, I have used Zometools (sold here: http://www.zometool.com) to teach geometry. The constructions for the icosahedron and dodecahedron are easy to teach and learn, due to the use of short reds (R1s) and medium yellows (Y2s) for radii for … Continue reading
Polygons Related to the Golden Ratio, and Associated Figures in Geometry, Part 1: Triangles
There are two isosceles triangles which are related to the golden ratio, [1 + sqrt(5)]/2, and I used to refer to them as the “golden acute isosceles triangle” and the “golden obtuse isosceles triangle,” before I found out these triangles … Continue reading