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Channel: math – Light is beautiful
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Understanding quaternions

Quaternion are a very useful tool in 3D, but also one that is unintuitive and difficult to get a natural feeling about. The talk Jim Van Verth, of EssentialMath, gave earlier at GDC2013 explains some...

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Math:Rules – Strange Attractors

This artist created a series of posters beautifully showcasing various strange attractors. The author also gives some explanations and links to tutorials on the topic.

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Matrix and Quaternion FAQ

Although its caveats, a classic on the web and still a useful resource, here is the most recent version I found of the: Matrix and Quaternion FAQ. Warning: the document I’m linking here has been...

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Readings on vector class optimization

Now that Revision has passed, we feel tempted to grab the ax and happily chop into parts of our code base we wanted to change but couldn’t really since we had other priorities. One tempting part is the...

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Intersection of a ray and a cone

Some time ago I needed to solve analytically the intersection of a ray and a cone. I was surprised to see that there are not that many resources available; there are some, but not nearly as many as on...

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From Maxwell’s equations to Fresnel’s equations

This series of short videos shows how to derive Maxwell’s equations all the way to Fresnel’s equations. Each one is about 10 to 15mn long. The first four videos show how to use boundary conditions to...

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Intersection of a ray and a plane

I previously showed the derivation of how to determine the intersection of a plane and a cone. At the time I had to solve that equation, so after doing so I decided to publish it for anyone to use....

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