hehehe.....
in this vein, more like devil's staircase (Cantor's function):
http://mathworld.wolfram.com/DevilsStaircase.htmla
function which is a constant (flat) almost everywhere on the interval 0 to 1, yet manages to rise from 0 to 1 in the same interval.
or maybe turned on its side? then the qualitative leaps take place on the rationals.
les --------------
For anybody who's interested, go here to read the number theory/analysis (simplified version) behind a Cantor set:
http://www.calpoly.edu/~dhartig/Talk/Jodarpage2/index.html
Anyway, it is one possible image of something that is simple and clean, but completely fucks up everything. The whole palace of rationalism can be eaten away by Cantor's dust---sort of revolution by termites.
Chuck Grimes