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0.5.6

Contents:

  • Overview
  • Getting started
    • Installing
    • A 5-minutes guide to fractalshades
    • Graphical user interface
    • Finding areas of interest
    • Unskewing streched areas
  • Mathematical background
    • Zoom level and native floating-point precision
    • Perturbation Theory
    • Avoiding loss of precision
    • Billinear approximations
    • Extended range floating points
    • Finding minibrots
    • Going further: a few references
  • Gallery
    • Batch mode gallery
      • 01 - Full Mandelbrot basic example
      • 02 - Bulb fieldlines example “tint_or_shade”
      • 03 - Bulb fieldlines example “twinfield”
      • 04 - Seahorse shaded example
      • 05 - Seahorse shaded and colored example
      • 06 - Seahorse interior example
      • 07 - Seahorse DEM example
      • 08 - DEM example with perturbation
      • 09 - A deeper DEM example
      • 10 - Double embedded Julia set
      • 11- Ultra-deep embedded Julia set
      • 12 - Burning Ship deep zoom
      • 13 - Burning ship DEM
      • 14 - Burning ship deeper DEM
      • 15 - Burning Ship ultra-deep embedded Julia set
      • 16 - Tetration (power tower) zoom: “Spring”
      • 17 - “Perpendicular” Burning Ship
      • 18 - “Perpendicular” Burning Ship: hidden Glynn spiral
      • 19 - “Perpendicular” Burning Ship: hidden Koch snowflakes
      • 20 - “Perpendicular” Burning Ship: hidden Sierpinski carpets
      • 21 - “Perpendicular” Burning Ship: tree structures
      • 22 - “Shark Fin” escape-time fractal
      • 23 - A deep mini
    • Colormaps template gallery
      • Colormaps: available templates
    • GUI-mode: arbitrary precision implementations
      • D01 - Mandelbrot arbitrary-precision explorer
      • D02 - Burning Ship arbitrary-precision explorer
      • D03 - Perpendicular Burning Ship arbitrary-precision explorer
      • D04 - Shark Fin arbitrary-precision explorer
    • GUI-mode: standard implementation examples
      • S01 - Mandelbrot explorer - Standard precision
      • S02 - Burning ship explorer - Standard precision
      • S03 - Mandelbrot power n explorer - Standard precision
      • S04 - Collatz explorer - Standard precision
      • S05 - Tetration fractal explorer - Standard precision
      • S06 - Perpendicular Burning Ship explorer - Standard precision
      • S07 - Shark fin explorer - Standard precision
  • Application Programming Interface
    • Core components
      • Fractal
      • PerturbationFractal
      • Fractal_plotter
      • Decorators
    • Application-level settings
    • Fractal models
      • Arbitrary-precision Mandelbrot
      • Arbitrary-precision Burning Ship
      • Arbitrary-precision Perpendicular Burning Ship
      • Arbitrary-precision Shark fin
      • Mandelbrot
      • Burning Ship
      • Perpendicular Burning Ship
      • Shark fin
      • Mandelbrot power n > 2
      • Collatz
      • Power tower (aka Tetration) fractal
    • Postprocessing fields
      • Postproc
      • Raw_pp
      • Continuous_iter_pp
      • Fieldlines_pp
      • DEM_normal_pp
      • DEM_pp
      • Attr_normal_pp
      • Attr_pp
      • Postproc_batch
      • Fractal_array
    • Image layers
      • Virtual_layer
      • Bool_layer
      • Color_layer
      • Normal_map_layer
      • Grey_layer
      • Disp_layer
      • Blinn_lighting
      • Overlay_mode
    • Color mapping
      • Fractal_colormap
    • GUI
      • Fractal_GUI
  • Changelog
    • Rev 0.5.6
    • Rev 0.5.5
    • Rev 0.5.4
    • Rev 0.5.3
    • Rev 0.5.2
    • Rev 0.5.0
    • Rev 0.4.3
    • Rev 0.4.2
    • Rev 0.4.1
  • License
  • Acknowledgment
Fractalshades
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  • Fractalshades documentation
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Fractalshades 0.5.6 documentation

Fractalshades is a Python package for creating static and interactive visualisations of 2d fractals. It targets Windows and Unix operating systems and implements efficient algorithms for very-deep exploration of the Mandelbrot and the Burning_Ship sets (1.e-2000 scale and beyond).

Contents:

  • Overview
  • Getting started
    • Installing
    • A 5-minutes guide to fractalshades
    • Graphical user interface
    • Finding areas of interest
    • Unskewing streched areas
  • Mathematical background
    • Zoom level and native floating-point precision
    • Perturbation Theory
    • Avoiding loss of precision
    • Billinear approximations
    • Extended range floating points
    • Finding minibrots
    • Going further: a few references
  • Gallery
    • Batch mode gallery
    • Colormaps template gallery
    • GUI-mode: arbitrary precision implementations
    • GUI-mode: standard implementation examples
  • Application Programming Interface
    • Core components
    • Application-level settings
    • Fractal models
    • Postprocessing fields
    • Image layers
    • Color mapping
    • GUI
  • Changelog
    • Rev 0.5.6
    • Rev 0.5.5
    • Rev 0.5.4
    • Rev 0.5.3
    • Rev 0.5.2
    • Rev 0.5.0
    • Rev 0.4.3
    • Rev 0.4.2
    • Rev 0.4.1
  • License
  • Acknowledgment

Indices and tables

  • Index

  • Module Index

  • Search Page

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© Copyright 2021, Geoffroy Billotey.

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