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geometry.research.independent
Topic:
Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Enneagon, Decagon, Dodecagon, Pentakaidecagon, Octakaidecagon, Icosagon, 24gon, 42gon
Replies:
8
Last Post:
May 27, 2013 1:39 AM



JIMMY
Posts:
7
Registered:
12/6/04


Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Enneagon, Decagon, Dodecagon, Pentakaidecagon, Octakaidecagon, Icosagon, 24gon, 42gon
Posted:
Mar 19, 2000 1:46 PM


Hi!
I've been trying to find out which polygons can have angles that add up to 360 degrees. In the subject of this message, it tells you all the polygons that I THINK will dominate every tile in a tiling whose tiles are all regular polygons with edges congruent. Well, the angle of the regular tricontagon is 168 degrees, and this is the same as the combination of both the triangle and the pentagon combined. However, I searched through and found none that contained BOTH the triangle and the pentagon. Is it known EXACTLY how many tilings there are that are made of regular polygons whose edges are congruent and that have at most 5 types of vertexes??


Date

Subject

Author

3/19/00



Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Enneagon, Decagon, Dodecagon, Pentakaidecagon, Octakaidecagon, Icosagon, 24gon, 42gon


JIMMY

3/20/00



Re: Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Enneagon, Decagon, Dodecagon, Pentakaidecagon, Octak


MooRidge15

9/24/02


Seth Itzkowitz

9/24/02


Christopher J. Henrich

10/18/02


Seth Itzkowitz

5/27/13


AJ

5/19/03


hi

5/31/03


nirojan

6/6/03


Eur Ing Panagiotis Stefanides


