Monthly Archives: September 2016

Draw an Apollonian gasket in C#

Posted on September 30, 2016 by Rod Stephens

The example Find circles that are tangent to three given circles (Apollonius’ Problem) in C# shows how to find up to eight circles that are tangent to three given circles. This example uses that method to build an Apollonian gasket. … Continue reading →

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Clone lists and arrays of objects in C#

Posted on September 28, 2016 by Rod Stephens

This is the last post I’ll write about clones, at least for a while. Some collection classes can already make clones. For example, an array can clone itself, although the result is always a shallow clone. This example shows how … Continue reading →

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Clone serializable objects in C#

Posted on September 26, 2016 by Rod Stephens

If a class is serializable, then you can create a deep clone of an object from that class by serializing it and the deserializing it. This example uses the following code to define a generic extension method that clones objects … Continue reading →

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Find the shortest distance between a point and a line segment in C#

Posted on September 21, 2016 by Rod Stephens

This example treats the segment as parameterized vector where the parameter t varies from 0 to 1. It finds the value of t that minimizes the distance from the point to the line. If t is between 0.0 and 1.0, … Continue reading →

Posted in algorithms, geometry, graphics, mathematics | Tagged , , , , , , , , , , , , , , | 33 Comments

Use MemberwiseClone the ICloneable interface in C#

Posted on September 20, 2016 by Rod Stephens

The example Clone objects in C# explains how to give a class a Clone method that makes copies of its objects. This example makes two changes: it implements the ICloneable interface and it uses MemberwiseClone to simplify the cloning code. … Continue reading →

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Clone objects in C#

Posted on September 19, 2016 by Rod Stephens

A clone of an object is a copy of that object. There are two kinds of clones: shallow and deep. A shallow clone shares all of the same values as the original object, even if some of those values are … Continue reading →

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Convert latitudes and longitudes into distances on the globe in C#

Posted on September 17, 2016 by Rod Stephens

This example shows how you can convert latitudes and longitudes into distances on the globe. The formulas for performing those calculations is interesting but the program is also interesting for the ways it uses LINQ. The program stores information about … Continue reading →

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Draw three circles and find their tangent circles in C#

Posted on September 16, 2016 by Rod Stephens

This example is similar to previous one Find circles that are tangent to three given circles (Apollonius’ Problem) in C# except it lets you click and drag to draw the three given circles. It then finds the (up to) 8 … Continue reading →

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Find circles that are tangent to three given circles (Apollonius’ Problem) in C#

Posted on September 16, 2016 by Rod Stephens

Given three objects that can be a point, line, or circle, you can try to draw circles that are tangent to each. The case using three circles is called Apollonius’ Problem. Originally these problems were studied by Euclid (ca. 300 … Continue reading →

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Use steganography to hide one large picture inside another in C#

Posted on September 15, 2016 by Rod Stephens

The example Use steganography to hide one picture inside another in C# explains how you can hide one image inside another. This example uses the same tools to hide a large image inside another large image so you can get … Continue reading →

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