# The Mandelbrot Set

# 1 Software

• Mandelbrot Code
• mandelbrot-prelude

# 2 Graphical Algorithms

• Membership
• Escape Time
• Binary Decomposition
• Continuous Dwell
• Exterior Coordinates
• Dwell Gradient
• Exterior Distance
• Atom Domains
• Misiurewicz Domains
• Interior Coordinates
• Interior Distance

# 3 Numerical Algorithms

• Nucleus
• Attractor
• Interior Point
• Misiurewicz Point (“Naive”)
• Misiurewicz Point (“Full”)
• Child Size
• Size Estimate
• Shape Estimate
• Domain Size
• External Ray In
• External Ray Out
• External Angles

# 4 Symbolic Algorithms

• Tuning
• Primary Bulb
• The Farey Tree
• Lavaurs’ Algorithm
• Spoke Navigation
• Islands In Hairs
• Hair Navigation
• Other Angles

# 5 Further Algorithms

• Perturbation
• Glitch Correction
• Series Approximation
• Zoom Interpolation
• Poincaré Zoom
• Exponential Map
• Stretching Cusps
• Julia Morphing
• Buddhabrot
• Spider Algorithm
• \(\pi\) In The Mandelbrot Set
• Fractal Dimension Of Julia Sets
• Mandelbrot Notebook
• Location Analysis

# 6 Change Log