26 Sep
2015
26 Sep
'15
6:56 p.m.
Good point. I mean isometric via any isometry of R^3 (which includes translations and rotations). —Dan
On Sep 26, 2015, at 11:51 AM, Eugene Salamin via math-fun <math-fun@mailman.xmission.com> wrote:
Do you mean translates and rotations of H ? Otherwise, a line is isometric to H.
From Dan Asimov on Saturday, September 26, 2015 11:13 AM:
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.