Tag Archives: algorithms

Draw words on a circle in WPF and C#

Posted on November 8, 2018 by RodStephens

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 | Leave a comment

Draw a hyperbolic spiral in C#

Posted on November 6, 2018 by RodStephens

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 | Leave a comment

Draw a logarithmic spiral in C#

Posted on November 1, 2018 by RodStephens

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 →

Draw a filled spiral in C#

Posted on October 30, 2018 by RodStephens

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

Posted on October 29, 2018 by RodStephens

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#

Posted on October 26, 2018 by RodStephens

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#

Posted on October 12, 2018 by RodStephens

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#

Posted on October 9, 2018 by RodStephens

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#

Posted on September 17, 2018 by RodStephens

A Ducci sequence is a sequence of tuples of integers. You start with a sequence of values such as 1-2-3-4-5. 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 | Leave a comment

Graph points in WPF and C#

Posted on August 23, 2018 by RodStephens

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 →