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 The Eighteenth Stellation of the Rhombicosidodecahedron Is an Interesting Polyhedral Compound
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Tag Archives: pentadecagon
Two Polyhedra Featuring Regular Pentadecagons
This polyhedron has 92 faces: twelve regular pentadecagons, twenty equilateral triangles, and sixty isosceles triangles, each with a vertex angle of ~42.5°. Its first stellation appears below. Both models were created using Stella 4d, software you can try for yourself … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, pentadecagon, polyhedra, polyhedron
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A Euclidian Construction of the Regular Pentadecagon (from 2011)
Because I did not start this blog until mid2012, I sometimes encounter things I made before then, but have not yet posted here. I made this image in 2011, after reading that the ancient Greeks discovered how to combine the … Continue reading
Posted in Mathematics
Tagged compass, construction, Euclidean, geometry, Mathematics, pentadecagon, puzzle, straight edge, straightedge
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Tessellation Featuring Regular Pentagons and Regular Pentadecagons
Other polygons included in this tessellation include several types of rhombi, as well as triconcave octadecagons. The pattern is chiral, but the chirality is subtle. (Hint: look near the pentagons.)
Posted in Mathematics
Tagged chiral, geometry, math, Mathematics, pentadecagon, pentagon, tessellation, tiling
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A Polyhedron Featuring Twelve Regular Pentadecagons, and Twenty Regular Enneagons
In the last post here, there were two polyhedra shown, and the second one included faces with nine sides (enneagons, also known as nonagons), as well as fifteen sides (pentadecagons), but those faces were not regular. The program I use … Continue reading
Posted in Mathematics
Tagged enneagon, geometry, nonagon, pentadecagon, polygon, polyhedra, polyhedral, polyhedron, regular
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Three Polyhedra Which Feature Regular Pentadecagons
I haven’t encountered many polyhedra which feature regular pentadecagons, and geometry textbooks generally don’t even use that word, calling them “15gons,” instead. The pentadecagon happens to be one of my favorite polygons, though, and has been ever since I independently … Continue reading