The Fractal Tree : Julia Sets | The World Tree The Fractal Tree : Julia Sets A fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"[1] a property called self-similarity. Roots of mathematically rigorous treatment of fractals can be traced back to functions studied by Karl Weierstrass, Georg Cantor and Felix Hausdorff in studying… with afractalisfractalfragmentedgeometricfyzikajuliamathroughtree