Tag Archives: mathematics

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 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

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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

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Find Mersenne primes in C#

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

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Draw the spiral of Theodorus in C#

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

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

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

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Solve the “Find the squares in C#” puzzle

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

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Puzzle: Find the squares in C#

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

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Display team names for a round robin tournament in C#

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

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

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

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Perform set operations on enumerable lists in C#

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

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