6 Apr
2010
6 Apr
'10
2:21 a.m.
On Tuesday 06 April 2010 02:25:07 Fred lunnon wrote:
The de Rham curve is defined in terms of a pair of contracting maps and binary expansion. Presumably k maps and expansion to base k would work in just the same way --- with even more mind-boggling options?
You've almost certainly seen at least one example of this: base 3, let each map be contraction by a factor of 2 towards one corner of an equilateral triangle; the result is the Sierpinski gasket. More generally, taking all the maps to be linear gives you an IFS. -- g