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Tag Archives: fractals
Draw a randomly colored Sierpinski octagon in C#
This example draws a randomly colored Sierpinski octagon. It’s basically the same as the example Draw a randomly colored Sierpinski pentagon in C# except it draws an octagon instead of a pentagon. See that example for most of the details. … Continue reading
Posted in algorithms, fractals, graphics, recursion
Tagged C#, C# programming, drawing, example, example program, fractals, graphics, recursion, Sierpinski, Sierpinski octagon, Windows Forms programming
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Draw a randomly colored Sierpinski pentagon in C#
The example Draw a colored Sierpinski pentagon in C# lets the user click on the parts of a Sierpinski pentagon to change their colors. Eddie Bole thought it would be interesting to color the larger pentagons in addition to the … Continue reading
Posted in drawing, fractals, graphics, recursion
Tagged C#, C# programming, drawing, example, example program, fractals, graphics, recursion, recursively, Sierpinski pentagon, Windows Forms programming
5 Comments
Draw a colored Sierpinski pentagon in C#
The example Draw a Sierpinski pentagon in C# shows how to draw a Sierpinski pentagon. This example modifies that one so the user can click on pentagons to change their colors. To do that, this program takes a very different … Continue reading
Posted in drawing, fractals, graphics, recursion
Tagged C#, C# programming, drawing, example, example program, fractals, graphics, recursion, recursively, Sierpinski pentagon, Windows Forms programming
6 Comments
Draw a Pythagoras tree fractal in C#
A Pythagoras tree (or Pythagorean tree) is a fractal tree built from squares. It starts with a square that forms the tree’s base. The program then makes the Pythagoras tree by recursively attaching two smaller branches to the original branch. … Continue reading
Posted in drawing, fractals, graphics, recursion
Tagged C#, C# programming, drawing, example, example program, fractals, graphics, Pythagoras tree, Pythagorean tree, recursion, Windows Forms programming
7 Comments
Draw a Sierpinski pentagon in C#
In a Sierpinski pentagon, larger pentagons are recursively divided into five smaller pentagons with a sixth uncolored pentagon in the center. The following picture shows the first four levels of the resulting fractal. For this example, I decided to think … Continue reading
Posted in drawing, fractals, graphics, recursion
Tagged C#, C# programming, drawing, example, example program, fractals, graphics, recursion, recursively, Sierpinski pentagon, Windows Forms programming
6 Comments
Draw a Fibonacci word fractal in C#
This example uses the Fibonacci word to draw a fractal curve. For information on the Fibonacci word, see the post Calculate Fibonacci words in C#. To draw a curve with level N, use Fibonacci word number N. Loop through the … Continue reading
Posted in algorithms, fractals, graphics, mathematics
Tagged algorithms, C#, C# programming, example, example program, Fibonacci, Fibonacci fractal, Fibonacci numbers, Fibonacci word, Fibonacci word fractal, Fibonacci words, fractals, graphics, iterated equation, mathematics, Windows Forms programming
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Calculate Fibonacci words in C#
You can find Fibonacci words by concatenating previous Fibonacci words much as you calculate the Fibonacci sequence by adding previous values in the sequence. The first two Fibonacci words are: S0 = 0 S1 = 01 The following Fibonacci words … Continue reading
Posted in algorithms, fractals, graphics, mathematics
Tagged algorithms, C#, C# programming, example, example program, Fibonacci, Fibonacci sequence, Fibonacci words, fractals, graphics, mathematics, Windows Forms programming
1 Comment
Draw the Weierstrass function in C#
The Weierstrass function was discovered by Karl Weierstrass in 1872. It’s an odd function that is continuous everywhere but differentiable nowhere. I’ll explain what that means shortly. Here’s the function: Here: The following two sections explain what it means to … Continue reading
Posted in algorithms, drawing, fractals, graphics, mathematics
Tagged algorithms, C#, C# programming, continuous function, differentiable function, discontinuous function, drawing, example, example program, fractals, graphics, mathematics, nondifferentiable function, Weierstrass curve, Weierstrass function, Windows Forms programming
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Book Errata Page: The C# Helper Top 100
This is the errata page for my book The C# Helper Top 100, The 100 most popular posts at csharphelper.com. If you find mistakes, please post them here in the Leave a Reply box at the bottom of the page. … Continue reading
Posted in .NET, algorithms, books, C#, C# programming
Tagged .NET, algorithms, animation, API, books, C#, C# Helper, C# programming, classes, clipboard, combinatorics, cryptography, curve fitting, dialogs, drag and drop, drawing, events, example, example program, Excel, files, fractals, FTP, graphics, image processing, interop, interoperability, mathematics, multimedia, Office, printing, Rod Stephens, serialization, system, threading, tips, tools, Windows Forms programming
2 Comments
Book Discussion Page: The C# Helper Top 100
This is a discussion page for my book The C# Helper Top 100, The 100 most popular posts at csharphelper.com. Please post questions, thoughts, and suggestions here in the “Leave a Reply” box at the bottom of the page. I … Continue reading
Posted in .NET, algorithms, books, C#, C# programming
Tagged .NET, algorithms, animation, API, books, C#, C# Helper, C# programming, classes, clipboard, combinatorics, cryptography, curve fitting, dialogs, drag and drop, drawing, events, example, example program, Excel, files, fractals, FTP, graphics, image processing, interop, interoperability, mathematics, multimedia, Office, printing, Rod Stephens, serialization, system, threading, tips, tools, Windows Forms programming
2 Comments