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Category Archives: algorithms
Find happy numbers in C#
Before I show you the code, let me explain what happy numbers are. Happy Numbers To find happy numbers, start with any integer. Replace it with the sum of the squares off its digits. Repeat the process until the numbers … Continue reading
Posted in algorithms, mathematics
Tagged algorithms, C#, C# programming, example, example program, happy numbers, mathematics, Windows Forms programming
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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
New Book: The Modern C# Challenge
My latest book, The Modern C# Challenge, is now available. It’s a collection of 100 programming challenges that let you test your ability in a wide variety of programming topics, many of which are not usually covered in traditional programming … Continue reading
Posted in algorithms, books, files, mathematics, puzzles
Tagged algorithms, books, C#, C# programming, combinations, cryptography, directories, dynamic programming, example, example program, factors, files, geometry, mathematics, permutations, prime factors, puzzles, randomization, recursion, simulations, statistics, The Modern C# Challenge, Windows Forms programming, yield
1 Comment
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 four-color … 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