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Category Archives: recursion
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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Tile a board with randomly colored trominoes in C#
The post Tile a board with colored trominoes in C#explains how to color a tromino filing so no two adjacent trominoes share the same color. That example basically tried every possible color for each of the trominoes until it found … Continue reading
Posted in algorithms, drawing, graphics, mathematics, recursion
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Tile a board with colored trominoes in C#
The post Tile a board with trominoes in C# explains how to tile a board with a missing square with trominoes. This post shows how to color the trominoes so no two adjacent ones share the same color. The fourcolor … Continue reading
Posted in algorithms, drawing, graphics, mathematics, recursion
Tagged algorithms, C#, C# programming, colored trominoes, drawing, example, example program, graphics, induction, inductive proofs, mathematics, polyomino, polyominoes, proof, proofs, recursion, tromino, trominoes, Windows Forms programming
1 Comment
Tile a board with trominoes in C#
Trominoes are polyominoes of order three. That means they are polygons made up of three equal sized squares joined at their edges. There only are two kinds of trominoes: three squares joined in a line and three squares joined in … Continue reading
Posted in algorithms, drawing, graphics, mathematics, recursion
Tagged algorithms, C#, C# programming, drawing, example, example program, graphics, induction, inductive proofs, mathematics, polyomino, polyominoes, proof, proofs, recursion, tromino, trominoes, Windows Forms programming
1 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
4 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
Write a TreeView into a tabdelimited file in C#
The example Load a TreeView from a tabdelimited file in C# shows how to load a TreeView control from a file. This example shows how to do the converse: write a TreeView control’s values into a file. The following SaveTreeViewIntoFile … Continue reading
Posted in algorithms, controls, files, recursion
Tagged algorithms, C#, C# programming, controls, example, example program, files, recursion, tabs, TreeNode, TreeView, Windows Forms programming
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Recursively draw equations in C#
The basic idea for recursively drawing equations is simple. Well, sort of simple. Classes represent different kinds of equations. A particular class knows how to draw its kind of equation. It uses other classes to draw its pieces. For example, … Continue reading
Posted in algorithms, drawing, fonts, graphics, recursion
Tagged algorithms, C#, C# programming, draw equations, drawing, equations, example, example program, fonts, graphics, recursion, Windows Forms programming
2 Comments