26 Sep
2015
26 Sep
'15
6:52 p.m.
Do you mean translates and rotations of H ? Otherwise, a line is isometric to H. -- Gene From: Dan Asimov <asimov@msri.org> To: math-fun <math-fun@mailman.xmission.com> Sent: Saturday, September 26, 2015 11:13 AM Subject: [math-fun] Helix puzzle Let H denote the standard helix in R^3, namely the set: H := { (cos(t), sin(t), t) | t in R}. Puzzle: ------- Express R^3 as the disjoint union of subsets each isometric to H, or prove this is impossible. —Dan