-
Recent Books:
![[Essential Algorithms, Second Edition]](http://www.csharphelper.com/essential_algs_2e_158_200.jpg)
![[WPF 3d, Three-Dimensional Graphics with WPF and C#]](http://www.csharphelper.com/wpf3d_160_200.png)
![[The C# Helper Top 100]](http://www.csharphelper.com/top100_161_200.png)
![[Interview Puzzles Dissected]](http://www.csharphelper.com/interview_puzzles_161_200.jpg)
-
Recent Posts
-
Recent Comments
- RodStephens on Post questions, tips, tricks, and suggestions here
- Anthony on Post questions, tips, tricks, and suggestions here
- Draw text with colors reversed along a sine wave in C# - C# HelperC# Helper on Draw text with colors reversed along a diagonal line in C#
- RodStephens on Make menu items act like radio buttons in C#
- Ello on Make menu items act like radio buttons in C#
Archives
- July 2019
- June 2019
- May 2019
- April 2019
- March 2019
- February 2019
- January 2019
- December 2018
- November 2018
- October 2018
- September 2018
- August 2018
- July 2018
- June 2018
- May 2018
- April 2018
- March 2018
- February 2018
- January 2018
- December 2017
- November 2017
- October 2017
- September 2017
- August 2017
- July 2017
- June 2017
- May 2017
- April 2017
- March 2017
- February 2017
- January 2017
- December 2016
- November 2016
- October 2016
- September 2016
- August 2016
- July 2016
- June 2016
- May 2016
- April 2016
- March 2016
- February 2016
- January 2016
- December 2015
- November 2015
- October 2015
- September 2015
- August 2015
- July 2015
- June 2015
- May 2015
- April 2015
- March 2015
- February 2015
- January 2015
- December 2014
- November 2014
- October 2014
- September 2014
- August 2014
- July 2014
- June 2014
- May 2014
- February 2014
- January 2014
- December 2013
- October 2013
- August 2013
- June 2013
- December 2012
- September 2012
- July 2012
- June 2012
- November 2011
- May 2011
- April 2011
- February 2011
- December 2010
Categories
- .NET
- 3D
- 3D graphics
- ADO.NET
- algorithms
- animation
- API
- arrays
- attributes
- audio
- books
- C#
- C# programming
- calculations
- challenges
- classes
- clipboard
- coding
- combinatorics
- console
- controls
- cryptography
- curve fitting
- database
- debugging
- dialogs
- directories
- Drag and Drop
- drawing
- drawings
- enums
- Event
- events
- example program
- Excel
- extension methods
- extensions
- files
- finance
- fonts
- formatting
- forms
- fractals
- ftp
- games
- GDI+
- generic
- geometry
- globalization
- graphics
- html
- IDE
- image processing
- inheritance
- interfaces
- internationalization
- internet
- interoperability
- LINQ
- lists
- localization
- mathematics
- memory
- menus
- MessageBox
- methods
- miscellany
- multimedia
- network
- Office
- OOP
- operators
- parsing
- performance
- phone
- PowerPoint
- printers
- printing
- productivity
- programs
- puzzles
- recursion
- reflection
- registry
- regular expressions
- serialization
- settings
- SQL
- stories
- strings
- syntax
- system
- threading
- three-dimensional graphics
- tips
- tools
- transformations
- Uncategorized
- user interface
- variables
- VBA
- web
- Windows Forms programming
- WMI
- Word
- wpf
- XAML
- XML
Meta
Category 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
Leave a comment
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
1 Comment
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
Leave a comment
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, non-differentiable function, Weierstrass curve, Weierstrass function, Windows Forms programming
Leave a comment
Draw a recursive overlapping snowflake fractal in C#
The example Draw a recursive snowflake fractal in C# explains how to use an iterator and a generator to draw a snowflake fractal. This example uses the same technique with the initiator and generator shown in the second and … Continue reading
Draw a recursive von Koch snowflake fractal in C#
This example shows how to draw a von Koch snowflake fractal. It uses the same techniques described in the post Draw a recursive snowflake fractal in C#. The DrawSnowflake and DrawSnowflakeEdge methods are exactly the same as before. The … Continue reading
Posted in algorithms, drawing, fractals, graphics, mathematics
Tagged algorithms, C#, C# programming, drawing, example, example program, fractals, generator, graphics, initiator, mathematics, recursion, recursive, snowflake, snowflake curve, snowflake fractal, von Koch, von Koch fractal, von Koch snowflake, Windows Forms programming
Leave a comment