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frozenfractal.com | ||
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campedersen.com
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| | | | | Your GPU doesn't know what a cylinder is. It knows triangles! That's it. Three points, maybe a color. The entire vocabulary of graphics hardware fits on an inde | |
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thenumb.at
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| | | | | Or, where does that \(\sin\theta\) come from? Integrating functions over spheres is a ubiquitous task in graphicsand a common source of confusion for beginners. In particular, understanding why integration in spherical coordinates requires multiplying by \(\sin\theta\) takes some thought. The Confusion So, we want to integrate a function \(f\) over the unit sphere. For simplicity, lets assume \(f = 1\). Integrating \(1\) over any surface computes the area of that surface: for a unit sphere, we should end... | |
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robertlovespi.net
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| | | | | This is apparently a problem, posed by Gregory Galperin, which went unsolved at the Bay Area Math Olympiad in 2005. I haven't solved it yet, but I'm going to try, as I work on this blog-post. My 2010 source is a paper about Zome which may be read, as a .pdf, atbact.mathcircles.org/files/Summer2010/zomes-6-2010.pdf.The problem involves a... | |
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4gravitons.com
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| | | On this blog, I write about particle physics for the general public. I try to make things as simple as possible, but I do have to assume some things. In particular, I usually assume you know what particles are! This time, I won't do that. I know some people out there don't know what a... | ||
