Mandelbrot.jl
Package Features
- Calculate things about the Mandelbrot set
Function Documentation
Mandelbrot.KneadingSequence — TypeA kneading sequence is a combinatorial description of the orbit of an angle under doubling. For an angle theta, the kneading sequence of theta is defined as the theta itinerary of theta.
Mandelbrot.BinaryExpansion — TypeThe binary expansion of an angle is a sequence of 1s and 0s which can be interpreted either as place-value representation of the angle, or as an itinerary of the angle under angle doubling.
Mandelbrot.OrientedHubbardTree — TypeA combinatorial Hubbard tree with cyclic order at each vertex. It can be constructed from an AngledInternalAddress or a RationalAngle, and it can be used to construct a HyperbolicComponent
Mandelbrot.InternalAddress — TypeAn internal address is an increasing sequence of integers which describes a kneading sequence
Mandelbrot.HubbardTree — TypeCreates a topological Hubbard tree from the given kneading sequence. See https://eudml.org/doc/283172 Existence of quadratic Hubbard trees Henk Bruin, Alexandra Kafll, Dierk Schleicher for info about the algorithm implemented here
Mandelbrot.AngledInternalAddress — TypeAn internal address with aditional information in the form of angles which specify a cyclic ordering of kneading sequences