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Yeah go for it. I was thinking about extending these into the semiregular polyhedra and demiregular to match the stuff I did on tessellations. There are also the truncations and stellations. There is a huge article here, and there is a load of stuff which can be imported. I have to go now, but I'll look in later --[[User:SeanTheSheep|SeanTheSheep]] 11:39, 15 May 2007 (EDT)
Yeah go for it. I was thinking about extending these into the semiregular polyhedra and demiregular to match the stuff I did on tessellations. There are also the truncations and stellations. There is a huge article here, and there is a load of stuff which can be imported. I have to go now, but I'll look in later --[[User:SeanTheSheep|SeanTheSheep]] 11:39, 15 May 2007 (EDT)
You don't need complex math:
You need at least 3 polygons to meet at a vertex.
So,
if we use triangles, we could have 3, 4 or 5 (6 or more is more than 180 degrees)
if we use squares, we could have 3 (4 or more is more than 180 degrees)
if we use pentagons, we could have 3 (4 or more is more than 180 degrees)
if we have higher order, they won't fit.
So, all you have to show is that under these constraints there are only these 5.
--[[User:SeanTheSheep|SeanTheSheep]] 11:46, 15 May 2007 (EDT)