Barnsley fern

The Barnsley fernMathworldPlanetmath F is the only non-empty compact subset of 2 satisfying the relation


where Ti:22 are the following linear mappings:

T1(x,y) =(0.85x+0.04y,-0.04x+0.85y+1.6),
T2(x,y) =(0.2x-0.26y,0.23x+0.22y+1.6),
T3(x,y) =(-0.15x+0.28y,0.26x+0.24y+0.44),
T4(x,y) =(0,0.16y).
Title Barnsley fern
Canonical name BarnsleyFern
Date of creation 2013-03-22 16:05:33
Last modified on 2013-03-22 16:05:33
Owner paolini (1187)
Last modified by paolini (1187)
Numerical id 7
Author paolini (1187)
Entry type Example
Classification msc 28A80