Don't forget the cube with quadratic sides. In general these are called platonic solids [1] and there are only 5 of them.
Why only 5 ? It has to do with angles and how you can unfold such a solid. (so it's somewhat caused by getting something from 3d-space into the 2d-plane)
I feel bad for the poor heptagon, which has neither a flat tiling nor a solid. At least on the hyperbolic plane everyone gets to take part in a tiling.
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[ 3.0 ms ] story [ 39.0 ms ] thread> for (var i=1; i<99999; i++) clearInterval(i);
or, in this case,
> clearInterval(1);
works
http://copaseticflow.blogspot.co.uk/2014/07/nine-notes-about...
[1] http://en.wikipedia.org/wiki/Platonic_solid
To convince yourself, here's a fun game you can try with pencil and paper: http://ferkeltongs.livejournal.com/28364.html (disclosure: that's my blog)