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Tag Archives: algorithms
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 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
Find a Ducci sequence in C#
A Ducci sequence is a sequence of tuples of integers. You start with a sequence of values such as 12345. TO find the next tuple, you calculate the absolute value of the difference between adjacent numbers in the sequence, wrapping … Continue reading
Posted in algorithms, mathematics
Tagged algorithms, C#, C# programming, differences, diffy game, Ducci sequence, example, example program, mathematics, Windows Forms programming
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Graph points in WPF and C#
This example extends the previous example Draw a graph in WPF and C# to draw ellipses marking the data sets’ points. See that example for an explanation of how most of the program works. The following code shows how the … Continue reading
Posted in algorithms, drawing, geometry, graphics, mathematics, wpf
Tagged algorithms, C#, C# programming, draw graph, draw graph in WPF, drawing, example, example program, geometry, GeometryGroup, graph, graph points, graphics, LineGeometry, mathematics, Polyline, Windows Forms programming, WPF, XAML
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