On the Surface

///On the Surface

On the Surface

Below are some examples of graphs of two-variable functions. (It may take a few seconds for the graphics to load.) These graphics are interactive, with zooming and rotation. If you place your mouse cursor in the frame, you’ll also see some curves appear on the surface. These are contour curves (sometimes called level curves). If the mouse cursor is at point $(a,b,c)$ on the surface, then these are the curves obtained by intersecting the surface with the planes $x=a$, $y=b$, and $z=c$. Try moving the mouse around and imagining how you could reconstruct the surface from these contour curves.

By | 2017-01-25T17:29:27+00:00 January 9th, 2017|Categories: Math 241|Tags: |2 Comments

2 Comments

  1. me January 12, 2017 at 9:46 pm - Reply

    THIS IS AMAZING how did you get the surfaces and such rotated? Is this part of wolfram? since Wolfram cloud is now free up to a degree.

    • Rob January 12, 2017 at 9:58 pm - Reply

      All the credit goes to the website Plot.ly (as well as Matlab). I rendered the surfaces in Matlab and then sent the results to Plot.ly, which took the data and made the interactive web-enabled versions you see here.

      Is Wolfram Cloud really free now, at least in some form? When I checked last fall it was ludicrously expensive. I’ll check it out again. Thanks for the tip!

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