Tag Archives: fractals

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

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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

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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

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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

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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

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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

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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

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Table of Contents: The C# Helper Top 100

This is a brief summary of the book’s table of contents. Introduction Part I. Serialization 1. Read a CSV File into an Array (1) 2. Use JSON to Serialize and Deserialize Objects (49) Part II. Graphing 3. Draw a Graph … Continue reading

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New Book: The C# Helper Top 100

I’m happy to announce my latest book, The C# Helper Top 100, The 100 most popular posts at csharphelper.com. It describes the 100 most popular posts on the C# Helper web site. This is my 32nd book and my second … Continue reading

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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

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