Chaoskop in VB.NET (2008)
by gearwheelsoft
Version 1.0 Beta Oct 2010
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Installation
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- extract the Fonts ZIP file to C:\Windows\Fonts
- extract the Project ZIP file to a new folder
- open the VB.NET Project with MS Visual Basic 2008 (Express Edition) or start the EXE file in the bin/Debug directory (.NET Framework required)
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Use of the Program
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Algorithms from the books
* "Fraktale verstehen und selbst programmieren", Band I
Hans Lauwerier, Wittig, 1989 (I)
* "Fraktale verstehen und selbst programmieren", Band II
Hans Lauwerier, Wittig, 1992 (none)
* "Natur als fraktale Graphik"
Scholl/Pfeiffer, Markt&Technik, 1991 (N)
* "Symmetry in Chaos"
Field/Golubitsky, Oxford Univ. Press 1992 (S)
* "The science of Fractal Images"
Peitgen/Saupe, Springer 1988 (F)
* "Chaos und Fractals"
Clifford A. Pickover, Elsevier, 1998. (P)
From the Menue select one of the 80 Programs:
1. Fractal Dimension
- comb Cantor Comb
- meander Fractal of Mandelbrot and Given
- sierline Sieve of Sierpinski
- siermc Sieve of Sierpinski as Point Clouds
- mengermc Menger Sponge (Monte Carlo)
- mengercl Menger Sponge colored (Backtracking)
- levyline Levy Curve
- levylong Levy Curve
- dragon ** Drachencurve between two Points
- multifr Multi Fractal
2. Self Similarity
- fern1 Fractal Fern
- fern2 Fern by Barnsley
- square1 Fractal based on three Contractions
- square2 ** Fractals in a Square
- invermc Iterative System
- cheese Cantor Chees Cross-Sections
- mink Minkowski Sausage
- crinkle Crinkle with Koch Cross as Basis and Motiv
- starfr Star Fractal
3. Dynamic Systems
- henatt ** Henon Attractor
- lorenz1 Lorenz Attractor
- lorenz2 Lorenz Attractor
- roessler Roessler Attractor
- verhulst Verhulst Model
- bifur1 Bifurcation Diagram
- bifur2 Bifurcation Diagram
- autoatt Automatic Random Strange Attractors
- henon Traces of Henons quadratic System
- mira Traces of Miras dynamic System
- cloud1 Traces of a dynamic System 1
- cloud2 Traces of a dynamic System 2
4. Iterated Function Systems
- treesb Iterative System with two Contractions
- treebt Iterative System (Backtracking)
- treebta Iterative System (Backtracking)
- sierbt Special Case of Sierpinskis Sieve
- autoifs Automatic Random IFS
- ifspar Iterated Function System with 6 Parameters, by User
5. Monte Carlo Method
- tennis Tennis Game
- contrmc1 Iterative System (Monte Carlo)
- maple Maple Leaf by Barnsley
- collageh Collage of the Letter H
- dust Dust Fractal, Monte-Carlo-Methode
6. Stochastic Fractals
- brownl Browns Line
- rwalk Random Walk in a Rectangular
- clusterc Cluster in a Circle
- clusterl Cluster on a Line
- batrachions Conway´s / Hofstadter´s / Mallow´s batrachion
7. Lindenmayer Systems
- kochlind Von Kochs Curve, Lindenmayer
- sierlind Sierpinskis Curve, Lindenmayer
- peanolind ** Peanos Curve, Lindenmayer
- bushlind Blade of Grass, Lindenmayer
- bush2lind Fractal Shrub, Lindenmayer
- lindpar Lindenmayer System, by User
8. Cellular Automats
- pick1 Pickover Modell, symmetric
- pick2 Pickover Modell, even-odd
- pick3 Pickover Modell, colored
- cell1 Cellular Automat
- cell1a Cellular Automat
- cell1b Cellular Automat
- cell2 Cellular Automat
- cellc Cellular Automat
9. 3D Fractals
- byt3bt Bold Pythagoras Tree (Backtracking)
- pyt3dbt ** 3D Pythagoras Tree (Backtracking)
- profile ** Fractal Profil
- projs Projection of a Surface
- waerden Curve of van der Waerden
- tagaki Projection of a Tagaki Mountain
- frsurf Fractal Surface
10. Julia Sets
- julfill Filled Julia Fractal of z -> z^2+c
- juliamc Julia Fractal of z^2+c (Monte Carlo)
- juliabt Julia Fractal of z^2+c (Backtracking)
- juldist Julia Fractal by Distance Formula
- julcub Julia Fractal of z^3-3a^2z+b
- julexp Julia Fractal of e^z-z-1
- julsin Julia Fractal of c*sin(z)
11. Mandelbrot Sets
- mantot Mandelbrot Fractal, Total View
- msetmandel ** Mandelbrot-Menge, Total View 2
- mandet Mandelbrot Fractal, Detail
- mandist Mandelbrot Fractal by Distance Formula
- manexp Mandelbrot Fractal of c+z-e^z
- mansin1 Mandelbrot Fractal of c+z-sin(z)
- manvar Pseudo Mandelbrot Fractal
- manpar Mandelbrot Fractal, Detail by User
12. Quilts and Stardust
- symmicon Symmetric Icon
- symmquilts Square Quilts
- symmquilts2 Hexagonal Quilts
- symmfrac Symmetric Fractal
- galaxy Galactic Spiral Nebula
- stardust Elliptic Star Cluster
- archisp Archimedian Spiral
- logarsp Logarithmic Spiral
- sphersp Spherical Spiral
- unwind Evolvente of a Circle
- vortex Quadratic Whirl (Rotating and shrinking N-Angle)
- mondriaan Modern Art a la Mondriaan
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Source Code Components
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The Source Code of Chaoskop consists of the following VB.NET Components:
1. Modules
- ModuleDefinitions.vb: Global Definitions of Variables and Constants</li>
- ModuleMath.vb: Mathematical Functions</li>
- ModuleGraphics.vb: Graphics Functions and Data Structures</li>
- ModuleFractals.vb: Fractal Functions for each of the 80 Programs mentioned above</li>
2. Form
- FormChaoskop.vb: Main Form with 12 Fractal and 1 Option Menues.</li>
For more detailed Information see also "ChaoskopHelp.htm".
