tile.jpg FRACTAL FIND
Explore Fractal and Quantum Variations

Lynn Wienck

FRACTAL INTRODUCTION

Mandelbrot variations, Julia variations, Julia Unit Circle variations, Sequence 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 2Tile VariationsMandelbrot tiles and Julia tiles are created using trigonometric functions to replace certain expressions.
Chapter 3Julia Unit 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 Fold VariationsThe relationship between folds and dimension size is presented.
Chapter 7Recognizable Figures with Trigonometric FunctionsRecognizing a fractal figure with modifications is explored, but remains an open-ended discussion.
Chapter 8Quantum Fractal TheoryThis chapter provides information on mapping Mandelbrot as state change.
Chapter 9State Changes for Mandelbrot Quantum Fractal Two Spin-1 DeviceState change rules are explained in this chapter.
Chapter 10Mandelbrot Quantum Fractal Two Spin-1 Device EntanglementA complete Mandelbrot map from a quantum perspective is introduced in this chapter.
Chapter 11Julia Quantum Fractal Two Spin-1 Device EntanglementState change in the x-direction and y-direction is shown as a function of iteration count in the Julia set.
Chapter 12Fractal-Lorenz MapThe Fractal-Lorenz Map is a combination of a fractal figure and Lorenz calculations.
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 BJulia Unit Circle Variation BowsFractal bows were created using Julia Unit Circle variations with polar coordinates.
Appendix CSequence Unit Circle Variation BallsFractal balls were created with Sequence Unit Circle variations.
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 VariationsFractal dimensions were created using Sequence 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 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.AMandelbar Quantum Snowflakes in Two and Three DimensionsQuantum snowflakes in two and three dimensions were created from Appendix A.A Mandelbar snowflakes.
Appendix Q.BMandelbar Quantum Snowflakes in Two and Three DimensionsQuantum snowflakes in two and three dimensions were created from Appendix A.B Mandelbar snowflakes.
Appendix Q.CMandelbar Quantum Snowflakes in Two and Three DimensionsQuantum snowflakes in two and three dimensions were created from Appendix A.C Mandelbar snowflakes.
Appendix Q.DJulia Quantum Snowflakes in Two and Three DimensionsQuantum snowflakes in two and three dimensions were created.
Appendix Q.EJulia Quantum Snowflakes in Two and Three DimensionsQuantum snowflakes in two and three dimensions were created.
Appendix Q.FJulia Quantum Snowflakes in Two and Three DimensionsQuantum snowflakes in two and three dimensions were created.
GalleryVariation ExamplesPresentation includes figure examples of Julia variations, Mandelbrot variations, Julia Unit Circle variations, and Sequence Unit Circle variations.
InformationFractal Build ExplanationMandelbrot, Julia, Julia Unit Circle, Sequence Unit Circle build definitions are presented with application to all figures.
ColorFractal Coloring BookFractal variation types are shown and listed by appendix.
ReferencesFractal and Quantum ReferencesThese are useful fractal and quantum book references.
FiguresExperimental Fractal FiguresExperimental previews are shown here.

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