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Mathematical Recreations

Acheron 2.0



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Acheron 2.0 Menu

Fast Track
What's New in Acheron 2.0
Introduction to Fractals
Overview of Acheron 2.0
Fractals Curves in Acheron 2.0
     Von Koch Curve
     Mandelbrot Curve
     Hilbert Curve
     Cesaro Curve
     Heighway Curve
     Minkowski Curve
     Peano Curve
     Square Curve
     Sierpinski Curve
     Sierpinski Objects
Feedback about Acheron 2.0
Download Counters of Acheron 2.0
Support of Acheron 2.0
Download Acheron 2.0animated-download

Safe Use of Acheron 2.0


About Acheron 2.0
Language: Visual C++
IDE:Microsoft Visual Studio 2012
App. Version:2.0
Appl. Size:4.36 MB (4.572.672 bytes)
Creation Date:30-Dec-‎2013 ‏23:14 (GMT+1)
Link Type:Statically Linked
Installer Size:1.74 MB (1.825.462 bytes)
Installer Date:30-Dec-‎2013 ‏23:14 (GMT+1)




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      Acheron 2.0 Overview

The left pane of Acheron 2.0 screen is used to select the fractal curve. The selection automatically displays the ribbon category related to the selected curve.

  1. Von Koch SnowFlakes

  2. Acheron 2.0 Ribbon - VonKoch

    The following settings are available to modify the rendering of the fractals.
    • Recursion Level: from 1 to 10
    • Frame:
      1. Line
      2. Triangle
      3. Square
      4. Pentagon
      5. Hexagon
    • Similarity Ratio: Ratio between Length of Segment and Height of Grain, expressed as 10th of percent (by default, 333, equivalent to 33 %). Ratio ranges from 150 to 1000.
    • Grain Orientation: Outside, Inside or Random
    • Grain: Triangle (Standard Von Koch curve) and Square
    • Display Settings: Curve Colour, Background Start and End Colour, Background Fading (7 different types)

  3. Mandelbrot Curve

  4. Acheron 2.0 Ribbon - Mandelbrot

    The following settings are available to modify the rendering of the fractals.
    • Recursion Level: from 1 to 10
    • Frame:
      1. Line
      2. Square
    • Grain: Normal (Standard Mandelbrot curve) and Clipped
    • Display Settings: Curve Colour, Background Start and End Colour, Background Fading (7 different types)

  5. Hilbert Curve

  6. Acheron 2.0 Ribbon - Hilbert

    The following settings are available to modify the rendering of the fractals.
    • Recursion Level: from 1 to 10
    • Similarity Ratio: from 1 to 12
    • Display Settings: Curve Colour, Background Start and End Colour, Background Fading (7 different types)

  7. Cesaro Curve

  8. Acheron 2.0 Ribbon - Cesaro

    The following settings are available to modify the rendering of the fractals.
    • Recursion Level: from 1 to 10
    • Similarity Ratio: from 1 to 12
    • Display Settings: Curve Colour, Background Start and End Colour, Background Fading (7 different types)

  9. Minkowski Sausage

  10. Acheron 2.0 Ribbon - Minkowski

    The following settings are available to modify the rendering of the fractals.
    • Recursion Level: from 1 to 10
    • Frame:
      1. Line
      2. Triangle
      3. Square
    • Display Settings: Curve Colour, Background Start and End Colour, Background Fading (7 different types)

  11. Sierpinski Curve

  12. Acheron 2.0 Ribbon - Sierpinski

    The following settings are available to modify the rendering of the fractals.
    • Recursion Level: from 1 to 8
    • Grain:
      1. Normal
      2. Square
    • Display Settings: Curve Colour, Background Start and End Colour, Background Fading (7 different types)

  13. Sierpinski Objects

  14. Acheron 2.0 Ribbon - Sierpinski Objects

    The following settings are available to modify the rendering of the fractals.
    • Recursion Level: from 1 to 8
    • Frame:
      1. Triangle
      2. Square
      3. Pentagon
      4. Hexagon
    • Grain:
      1. Normal
      2. Filled
    • Display Settings: Curve Colour, Background Start and End Colour, Background Fading (7 different types)

  15. Peano Curve

  16. Acheron 2.0 Ribbon - Peano

    The following settings are available to modify the rendering of the fractals.
    • Recursion Level: from 1 to 5
    • Grain:
      1. Normal
      2. Filled
    • Display Settings: Curve Colour, Background Start and End Colour, Background Fading (7 different types)

  17. Squares Curve

  18. Acheron 2.0 Ribbon - Squares

    The following settings are available to modify the rendering of the fractals.
    • Recursion Level: from 1 to 5
    • Grain:
      1. Normal
      2. Filled
      3. Outlined
    • Display Settings: Curve Colour, Background Start and End Colour, Background Fading (7 different types)

  19. Heighway Dragon

  20. Acheron 2.0 Ribbon - Heighway Dragon

    The following settings are available to modify the rendering of the fractals.
    • Folding Code: a succession of up to 16 characters 0 and 1 that code for paper folding
    • Display Settings: Curve Colour, Background Start and End Colour, Background Fading (7 different types)