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 The Eighteenth Stellation of the Rhombicosidodecahedron Is an Interesting Polyhedral Compound
 The EqualEdgeLength, PyramidAugmented Rhombicosidodecahedron
 A Tessellation of Star Octagons, and Two Sizes of Squares
 Nine Circles Imitating a FourLeaf Clover
 The Regular Enneagon, and Three Regular Enneagrams
 An Arrangement of Circles Based on the Euclidean Construction of the Pentagon
 Sunflower
 An Octahedron, Augmented with Eight Great Icosahedra
 A Polyhedron Made of Pentagons, Hexagons, and Octagons
 A Zonohedron Featuring Hexadecagons
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Monthly Archives: February 2016
The American Historical Clock of War and Peace
The yellow years are ones in which the USA was getting into or out of major wars — or both, in the case of the brief SpanishAmerican War. The red years are war years, and the blue years are years … Continue reading
Posted in History, Mathematics, Politics
Tagged America, American, calendar, chart, clock, History, peace, pie chart, united states, USA, war
2 Comments
Four Convex Polyhedra with Icosidodecahedral Symmetry
The smaller images above may be enlarged with a click. All these polyhedra were made using Stella 4d, available here.
Posted in Mathematics
Tagged geometry, icosahedral, icosidodecahedral, Mathematics, polyhedra, polyhedron, symmetry
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Seven Fanciful Designs for Polyhedral Throwing Stars with 7Fold Dihedral Symmetry
I made these using Stella 4d, a program available at http://www.software3d.com/Stella.php. Any of these images may be enlarged with a click.
Posted in Art
Tagged 7, Art, geometric, geometrical, mathematical, seven, star, throwing star
7 Comments
A Hollow Faceting of the Rhombicosidodecahedron, and Its Hollow Dual
The images above all show a particular faceting of the rhombicosidodecahedron which, to my surprise, is hollow. It has the vertices of a rhombicosidodecahedron, but two different facetypes, as seen in the smaller pictures: yellow hexagons, and red isosceles trapezoids. … Continue reading
Posted in Mathematics
Tagged faceted, faceting, geometry, hollow, Mathematics, polyhedra, polyhedron, puzzle
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12Fold Dihedral Polyhedral Explorations
Above is a dodecagonal antiprism, augmented by 24 more dodecagonal antiprisms. This was the starting point for making all the polyhedra below, using Stella 4d, software available here. Each of these smaller pictures may be enlarged with a click.
Posted in Mathematics
Tagged 12fold, antiprism, dihedral, geometry, Mathematics, polyhedra, polyhedron, symmetry
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When We Build Our Dyson Sphere, Let’s Not Use Enneagonal Antiprisms
Before an undertaking as great as building a Dyson Sphere, it’s a good idea to plan ahead first. This rotating image shows what my plan for an enneagonalantiprismbased Dyson Sphere looked like, at the hemisphere stage. At this point, the … Continue reading
Posted in Fiction, Life, Mathematics, Science and Scientists
Tagged absurd, antiprism, astronomy, Dyson Sphere, enneagon, geometry, Humor, Mathematics, nerd, plan, plan ahead, planning, Satire, satirical, science, science fiction, silliness, silly
1 Comment
A Second ColoringScheme for the Chiral Tetrated Dodecahedron
For detailed information on this newlydiscovered polyhedron, which is near (or possibly in) the “fuzzy” borderzone between the “nearmisses” (irregularities real, but not visually apparent) and “nearnearmisses” (irregularities barely visible, but there they are) to the Johnson solids, please see … Continue reading