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

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 JIMMY Posts: 7 Registered: 12/6/04
Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Enneagon, Decagon, Dodecagon, Pentakaidecagon, Octakaidecagon, Icosagon, 24-gon, 42-gon
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 JIMMY
3/20/00 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