[Gianluca
Gorni's home
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# Peano's curve movie

(click on the picture to start the 3-minute 40-second
animation)

The animation shows an approximation to Peano's curve. The
horizontal and vertical movements do belong to the curve, while the
diagonal movements are interpolations, to keep the file size
manegeable. The speeds of the point in the different segments are
straight from the definition of the curve, at the cost of making
parts of the movie quite sluggish.

Here is the path followed by the point:

The movie started as a *Mathematica*
animation made with the Real
Analysis package, and was converted to QuickTime
with Macintosh
system resources.

This page has been accessed
times since July, 2001.