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Category Archives: graphics
Draw words on a circle in WPF and C#
This example shows one way that you can draw words on a circle in WPF. Note that it does not show how to draw words where each character is rotated to follow the circle’s curve. Each word is rotated as … Continue reading
Posted in algorithms, graphics, mathematics
Tagged algorithms, C#, C# programming, circle text, draw words, example, example program, graphics, mathematics, Windows Forms programming
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Draw a hyperbolic spiral in C#
A hyperbolic spiral, which is also called an reciprocal spiral, is the inverse of an Archimedes spiral. It uses the equation r = A / θ to generate points on a spiral. This spiral has a couple of interesting properties. … Continue reading
Posted in algorithms, graphics, mathematics
Tagged algorithms, Archimedes spiral, C#, C# programming, example, example program, graphics, mathematics, spiral, Windows Forms programming
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Draw a logarithmic spiral in C#
The post Draw an Archimedes spiral in C# uses the equation r = A˙θ to generate the points on a spiral. This example is almost exactly the same except it uses the equation to r = A˙eB˙θ to generate its … Continue reading
Posted in algorithms, graphics, mathematics
Tagged algorithms, Archimedes spiral, C#, C# programming, example, example program, graphics, mathematics, spiral, Windows Forms programming
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Draw a filled spiral in C#
My post Draw an Archimedes spiral in C# explained how to draw multiple Archimedes spirals starting at a common center point. This post shows how you can fill the spaces between the spirals with colors. The basic idea is to … Continue reading
Posted in algorithms, graphics, mathematics
Tagged algorithms, Archimedes spiral, C#, C# programming, example, example program, filled spiral, graphics, mathematics, spiral, Windows Forms programming
2 Comments
Draw an Archimedes spiral in C#
An archimedes spiral is defined by the polar coordinate equation r = A * θ. It’s just as simple as that, and this would be a significantly shorter post except for one question: how do you know how big you … Continue reading
Posted in algorithms, graphics, mathematics
Tagged algorithms, Archimedes spiral, C#, C# programming, example, example program, graphics, mathematics, spiral, Windows Forms programming
2 Comments
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
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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
4 Comments