Barnsley's Fern
The Attractor of the Iterated Function System given by the set of ``fern functions''
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
 | |  | (4) |
(Barnsley 1993, p. 86; Wagon 1991). These Affine Transformations are contractions.The tip of the fern (which resembles the black spleenwort variety of fern) is the fixed point of
, and the tips of the lowesttwo branches are the images of the main tip under 
and 
(Wagon 1991).See also Dynamical System, Fractal, Iterated Function System
References
Barnsley, M. Fractals Everywhere, 2nd ed. Boston, MA: Academic Press, pp. 86, 90, 102 and Plate 2, 1993. Gleick, J. Chaos: Making a New Science. New York: Penguin Books, p. 238, 1988. Wagon, S. ``Biasing the Chaos Game: Barnsley's Fern.'' §5.3 in Mathematica in Action. New York: W. H. Freeman, pp. 156-163, 1991.
- Heart Surface
- Heat Conduction Equation
- Heat Conduction Equation--Disk
- Heaviside Calculus
- Heaviside Step Function
- Heawood Conjecture
- Hebesphenomegacorona
- Hecke Algebra
- Hecke L-Function
- Hecke Operator
- Hecke Ring
- Hectogon
- Hedgehog
- Heegaard Diagram
- Heegaard Splitting
- Heegner Number
- Heesch Number
- Heesch's Problem
- Height
- Heilbronn Triangle Problem
- Heine-Borel Theorem
- Heine Hypergeometric Series
- Heisenberg Group
- Heisenberg Space
- Held Group