23 Jun
2009
23 Jun
'09
2:07 a.m.
A private conversation raised the following: a) continuous maps from 1D onto a 2D patch visit countably many points at least three times. What is the minimum dense revisitation count for continuous volume fillers, 1D onto 3D? It was seven for that "Treano" function I discussed a few months ago. b) What is the dimension of the boundary of the 2D quincunx fractal, the fixed point of surrounding one by four in a square, then dividing by 2+i? --rwg