Mandelbrot.jl
Package Features
- Calculate things about the Mandelbrot set
Function Documentation
Mandelbrot.KneadingSequence — Type
A 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 — Type
The 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 — Type
A 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 — Type
An internal address is an increasing sequence of integers which describes a kneading sequence
Mandelbrot.HubbardTree — Type
HubbardTree(K::KneadingSequence)Creates a topological Hubbard tree from the given kneading sequence using the triod algorithm described in [1].
Mandelbrot.AngledInternalAddress — Type
An internal address with aditional information in the form of angles which specify a cyclic ordering of kneading sequences