# Julia Diagrams

Minimalistic diagrams to show the structure of quadratic Julia sets.

Diagrams rendered with custom code (see below).

Julia sets rendered with Inflector Gadget. The Julia set PNG images contain metadata for that program.

# 1 Simple Cases

# 1.1 Diagrams

1/2 Basilica

1/2

1/3 Rabbit

1/3

1/4

1/4

2/5

2/5

# 1.2 Julia Sets

1/2 Basilica

1/2

1/3 Rabbit

1/3

1/4

1/4

2/5

2/5

# 2 Seahorse Valley

# 2.1 Diagrams

7/15 upper right Seahorse Valley

7/15

8/15 lower right Seahorse Valley

8/15

1/2 1/7 upper left Seahorse Valley

1/2 1/7

1/2 6/7 lower left Seahorse Valley

1/2 6/7

# 2.2 Julia Sets

7/15 upper right Seahorse Valley

7/15

8/15 lower right Seahorse Valley

8/15

1/2 1/7 upper left Seahorse Valley

1/2 1/7

1/2 6/7 lower left Seahorse Valley

1/2 6/7

# 3 Rabbit Valley

# 3.1 Diagrams

7/20 lower left Rabbit Valley

7/20

7/22 lower right Rabbit Valley

7/22

1/3 6/7 upper left Rabbit Valley

1/3 6/7

1/3 1/7 upper right Rabbit Valley

1/3 1/7

# 3.2 Julia Sets

7/20 lower left Rabbit Valley

7/20

7/22 lower right Rabbit Valley

7/22

1/3 6/7 upper left Rabbit Valley

1/3 6/7

1/3 1/7 upper right Rabbit Valley

1/3 1/7

# 4 Abstract Mandelbrot Cactus

M

svg

# 5 Source Code

Small Haskell program that emits SVG strings: