Great project, nice video. If you don’t make mistakes, then pop rivets would be a much easier, faster, and most stable assembly technique than screws and nuts. On Mar 30, 2014, at 8:31 PM, George Hart <george@georgehart.com> wrote:
This video raises the question: what are all the "circle crystals," i.e., 3D "lattices" of identical circles with each contacting n equally spaced neighbors, all with the same twist angle (as seen along a line connecting two centers and the point of contact). (Roughly: the symmetry group acts transitively on the circles.)
https://www.youtube.com/watch?v=_XfwgngPrhE
Three 2D cases, one 1D continuous family, and two interesting 3D cases are shown. Are there any other discrete examples I missed? Is there a succinct proof of completeness? Are there others that deserve to be physically constructed?
George http://georgehart.com/
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun