Tag Archives: mathematics

Use digits of Pi to draw a picture in C#

The article 10 stunning images show the beauty hidden in pi shows several ways to use Pi to generate pictures. This example demonstrates one of them. The program starts drawing at the origin (0, 0). It then scans through the … Continue reading

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Look for dates in the digits of Pi in C#

The example Find patterns within pi in C# looks for patterns within the digits of Pi. You can use that example to look for dates such as 4/1. This example determines whether the first 100 thousand digits of Pi contains … Continue reading

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Find patterns within Pi in C#

March 14 is known as Pi Day because its numeric representation 3/14 includes the first three digits of Pi: 3.14. (At least in the United States. In Europe where they usually write dates month first, Pi Day is July 22 … Continue reading

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Use an improved extension method to calculate standard deviation in C#

The example Calculate standard deviation in C# makes an extension method that calculates standard deviation for an IEnumerable of integers. Unfortunately because that example works with integers, it cannot work with other data types. Rian Meier showed me this method, … Continue reading

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Draw a golden spiral in C#

This example shows how to draw a golden spiral (or phi spiral) in C#. The example Draw a nested series of golden rectangles in C# draws nested rectangles and connects their corners to make a square “spiral.” This example makes … Continue reading

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Draw a nested series of golden rectangles in C#

This program draws golden rectangles, rectangles whose side ratio is equal to φ. For information on φ, see Examine the relationship between the Fibonacci sequence and phi in C#. The program first draws a golden rectangle. It then removes the … Continue reading

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Examine the relationship between the Fibonacci sequence and phi in C#

The golden ratio (also called the golden mean, golden section, or divine proportion) is a number that pops up in a surprising number of places in geometry and nature. This number is also called φ (phi, pronounced either “fee” or … Continue reading

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Use “banker’s rounding” and “normal rounding” in C#

By default the Math.Round method uses “banker’s rounding.” In banker’s rounding a number with a final digit of 5 is rounded to the nearest even number rather than to the next larger number as you might expect. The idea is … Continue reading

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Draw an interesting pattern of circles in C#

This program simply draws an interesting arrangement of circles. I wrote it because a C# Helper post was mentioned on this Factal [sic] Patterns & Art page. This program uses the following code to draw the circles and connecting lines. … Continue reading

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Make stable appointments in C#

This example assumes you have people who must sign up for a limited number of appointments. Each person is allowed to select first, second, and third choices. The program assigns people to appointments in a “stable” way where “stable” means … Continue reading

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