# Category Archives: Tutorial

## Mandelbrot Set

If you google “mathematics visualization”, the resulting wikipedia page shows the Mandelbrot set as a famous example. The Mandelbrot set $$M\subset{\Bbb C}$$ is defined as the following.  For each $$c\in {\Bbb C}$$, consider the iteration $$z_{n+1}(c) = ({z_n}(c))^2+c$$, $$n=0,1,2,\ldots$$ and \(z_0(c) = … Continue reading

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## Parallel Frame for Curves

If you have a polygonal curve, say arc-length parameterized, you might want to visualize the curve as the following rendering This can be done in Houdini by the “copy” SOP node. The “copy” node has two input and one output.  The … Continue reading

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## Tutorial 1: Implicit Surfaces with Houdini

It is amazingly simple to create high-quality renderings with Houdini. Several small tricks to achieve nice renderings of geometries in a mathematical context are already described in the first posts of this blog. If you not have looked at it yet you should … Continue reading

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