Wikipedia: History of Fractal

Difference (from prior major revision) (author diff)

Changed: 7c7

Fractals possess as their defining characteristic a kind of symmetry known as self-similarity under scale. "Symmetry" here means invariance under some operation. For instance, a bilaterally symmetric object is invariant under the operation of reflection -- hold it in front of a mirror and it "looks the same". Fractal object are invariant under scaling operations. Magnify or shrink a fractal, and it looks the same.

Fractals possess as their defining characteristic a kind of symmetry known as "self-similarity under scale". "Symmetry" here means invariance under some operation. For instance, a bilaterally symmetric object is invariant under the operation of reflection -- hold it in front of a mirror and it "looks the same". Fractal object are invariant under scaling operations. Magnify or shrink a fractal, and it looks the same.

	Revision 14 . . December 12, 2001 5:24 pm by (logged).99.222.xxx [Gave a more formal definition]
	Revision 13 . . December 12, 2001 5:23 pm by (logged).99.222.xxx [Gave a more formal definition]
	Revision 12 . . December 12, 2001 5:23 pm by (logged).99.222.xxx [Gave a more formal definition]
	Revision 11 . . (edit) August 28, 2001 8:44 pm by Zundark [update link]