RWG wrote: << 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.
Whst is known about the dense visitation count from 1D onto 2D ? << 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?
Could you please elaborate on this? I don't understand the construction. (I do know that a quincunx is the arrangement of 5 points, or dots, as the center and corners of a square.) _____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele