tile.jpg FRACTAL FIND
Explore Fractal and Quantum Variations

Lynn Wienck

FRACTAL INTRODUCTION

Mandelbrot variations, Julia variations, Unit Circle variations, Dimension Unit Circle variations are explored using mathematics, pseudocode, graphs, and examples.

TitleDescriptionTable of Contents
Chapter 1Mandelbrot Variations and Julia VariationsFractal sets and variations are explained with examples.
Chapter 2Variation TilesMandelbrot tiles and Julia tiles are created using trigonometric functions to replace certain expressions.
Chapter 3Unit Circle VariationsThe unit circle as Julia set in polar coordinates and trigonometric functions is explained in this chapter.
Chapter 4Fractal SymmetryMandelbrot and Julia fractal symmetric and asymmetric variations are explored using figures and maps, but remain an open-ended discussion.
Chapter 5Fractal Feigenbaum VariationsFractal Feigenbaum variations created using Julia sets are introduced in this chapter.
Chapter 6Fractal ChapterThis will be a fractal chapter.
Chapter 7Introduction to Quantum Fractal TheoryThis chapter provides information on mapping Mandelbrot as state change.
Chapter 8State Changes for Mandelbrot Quantum FractalState change rules are explained in this chapter.
Chapter 9Mandelbrot Quantum Fractal EntanglementA complete Mandelbrot map from a quantum perspective is introduced in this chapter.
Chapter 10Julia Quantum Fractal EntanglementState change in the x-direction and y-direction is shown as a function of iteration count in the Julia set.
Chapter 11Fractal ChapterThis will be a fractal chapter.
Appendix AMandelbar Variation SnowflakesMandelbar six-pronged fractal snowflakes were created using Mandelbrot variations.
Appendix A.AMandelbar Variation Snowflakes24 Mandelbar six-pronged fractal snowflakes were created using Mandelbrot variations.
Appendix A.BMandelbar Variation Snowflakes24 Mandelbar six-pronged fractal snowflakes were created using Mandelbrot variations.
Appendix A.CMandelbar Variation Snowflakes24 Mandelbar six-pronged fractal snowflakes were created using Mandelbrot variations.
Appendix BUnit Circle Variation BowsFractal bows were created using Julia unit circle variations with polar coordinates.
Appendix CUnit Circle Variation BallsFractal balls were created using Julia unit circle variations with polar coordinates and trigonometric functions.
Appendix DTile VariationsMandelbrot variation tiles were created using trigonometric functions.
Appendix EFrame VariationsJulia variation frames were created with changes in functions and boundaries.
Appendix FSeashell VariationsMandelbrot variation seashells were created using trigonometric functions.
Appendix GDimension VariationsJulia variation dimensions were created using unit circle trigonometric functions.
Appendix HLine VariationsMandelbrot variation lines were creates with changes in functions and boundaries.
Appendix IPolar VariationsJulia unit circle variations were created with trigonometric functions.
Appendix JFractal Feigenbaum ExamplesJulia set fractal Feigenbaum examples were created and are presented in this appendix.
Appendix KWallpaper (Tile) VariationsMandelbrot variation tiles were created using trigonometric functions and resemble wallpaper.
Appendix QQuantum State Fractal SignaturesMandelbar snowflake maps were created for Appendix A snowflakes.
Appendix Q.AQuantum Snowflakes in Two and Three DimensionsQuantum snowflakes in two and three dimensions were created from Appendix A.A Mandelbar snowflakes.
Appendix Q.BQuantum Snowflakes in Two and Three DimensionsQuantum snowflakes in two and three dimensions were created from Appendix A.B Mandelbar snowflakes.
Appendix Q.CQuantum Snowflakes in Two and Three DimensionsQuantum snowflakes in two and three dimensions were created from Appendix A.C Mandelbar snowflakes.
GalleryVariation ExamplesPresentation includes figure examples of Julia variations, Mandelbrot variations, Unit Circle, and Dimension Unit Circle variations.
InformationGallery Build ExplanationMandelbrot, Julia, Unit Circle, Dimension Unit Circle build definitions are presented with application to all figures.
ColorFractal Coloring BookFractal variation types are shown and listed by appendix.
ReferencesFractal ReferencesThese are useful fractal and quantum book references.
FiguresExperimental Fractal FiguresExperimental previews are shown here.

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