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

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A Euclidian Construction of the Regular Pentadecagon (from 2011)

Because I did not start this blog until mid-2012, 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

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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.)

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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

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The Center of a Radial Tessellation Featuring Regular Pentadecagons

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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 “15-gons,” instead. The pentadecagon happens to be one of my favorite polygons, though, and has been ever since I independently … Continue reading

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482-Faced Polyhedron Featuring 32 Regular Pentadecagons

I’ve been obsessing about symmetrical polyhedra which include regular pentadecagons all day, and this is the latest result. I feel like I’m getting closer to what I’m looking for . . . but whatever it is I’m looking for seems … Continue reading

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