Tag Archives: mathematics

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 →

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 | Leave a comment

Find Mersenne primes in C#

Posted on July 16, 2018 by RodStephens

Mersenne primes are prime numbers of the from 2n – 1 for some integer n. For example, 22 – 1 = 4 – 1 = 3 and 3 is prime, so 3 is a Mersenne prime. This example uses a … Continue reading →

Posted in algorithms, mathematics | Tagged algorithms, C#, C# programming, example, example program, mathematics, Mersenne primes, prime numbers, primes, Windows Forms programming | Leave a comment

Draw the spiral of Theodorus in C#

Posted on June 19, 2018 by RodStephens

The spiral of Theodorus (which is also called the square root spiral, Einstein spiral, and Pythagorean spiral) was first devised by the Greek mathematician Theodorus of Cyrene during the 5th century BC. The spiral consists of a sequence of right … Continue reading →

Posted in algorithms, drawing, graphics, mathematics | Tagged algorithms, C#, C# programming, drawing, Einstein spiral, example, example program, graphics, mathematics, Pythagorean spiral, root spiral, spiral, spiral of Theodorus, Windows Forms programming | Leave a comment

Color the solutions to the “Find the squares in C#” puzzle

Posted on June 4, 2018 by RodStephens

The post Solve the “Find the squares in C#” puzzle explained how you can find solutions to the puzzle described in the post Puzzle: Find the squares in C#. This example shows how you can color the solutions so squares … Continue reading →

Posted in algorithms, games, graphics, mathematics | Tagged algorithms, C#, C# programming, example, example program, find the squares, games, graphics, mathematics, puzzles, squares puzzle, Windows Forms programming | Leave a comment

Solve the “Find the squares in C#” puzzle

Posted on June 1, 2018 by Rod Stephens

This post shows how to solve the puzzle Puzzle: Find the squares in C#. The program howto_square_puzzle_solution uses the following code to define the puzzle’s 11 solutions. // Small squares. Solutions.Add(new int[] { 0, 1, 4, 3 }); Solutions.Add(new int[] … Continue reading →

Posted in algorithms, games, mathematics | Tagged algorithms, C#, C# programming, example, example program, find the squares, games, graphics, mathematics, puzzles, squares puzzle, Windows Forms programming | 1 Comment

Puzzle: Find the squares in C#

Posted on May 31, 2018 by Rod Stephens

The example Puzzle: Find the equilateral triangles in C# was fun, at least for me, so here’s another puzzle. This time your goal is find all of the squares that you can make using the red dots shown here. If … Continue reading →

Display team names for a round robin tournament in C#

Posted on May 24, 2018 by RodStephens

The example Generate a schedule for a round robin tournament in C# explains how you can generate a schedule for a round robin tournament. This example simply adds the ability to display the schedule using the team names instead of … Continue reading →

Posted in algorithms, combinatorics, mathematics | Tagged algorithms, C#, C# programming, combinatorics, example, example program, mathematics, round robin, round robin tournament, schedule, tournament, Windows Forms programming | Leave a comment

Control a loop that uses floating-point values in C#

Posted on May 8, 2018 by Rod Stephens

Sometimes you might need to use a floating-point variable that loop over a range of values. For example, you might want a value to step through the values 0.0 through 1.0 in increments of 0.1. The sequence of numbers would … Continue reading →

Posted in calculations, mathematics, variables | Tagged C#, C# programming, calculations, double, example, example program, float, floating-point, for loop, loop, mathematics, rounding, rounding errors, variables, Windows Forms programming | Leave a comment

Perform set operations on enumerable lists in C#

Posted on April 26, 2018 by Rod Stephens

To demonstrate set operations, this example creates two lists of Person objects. The Person class implements IEquatable. The code then uses the following code to display the lists and their intersection, union, difference, and exclusive or (xor). // Display the … Continue reading →