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Category 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 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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Draw rose curves in C#
A rose curve is a curve generated by the polar coordinate equation r = cos(n / d * θ). Here n and d should be relatively prime, so the fraction n / d cannot be simplified. When you click the … Continue reading
Posted in algorithms, drawing, graphics, mathematics
Tagged algorithms, C#, C# programming, drawing, example, example program, graphics. mathematics, rose curves, Windows Forms programming
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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
Posted in algorithms, mathematics
Tagged algorithms, C#, C# programming, example, example program, mathematics, Mersenne primes, prime numbers, primes, Windows Forms programming
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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
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
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
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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
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
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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
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
1 Comment
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
Control a loop that uses floatingpoint values in C#
Sometimes you might need to use a floatingpoint 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, floatingpoint, for loop, loop, mathematics, rounding, rounding errors, variables, Windows Forms programming
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