Spira Mirabilis from Interactive Mathematics Miscellany and Puzzles

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Spira Mirabilis - Wonderful Spiral

This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at http://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.

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What if applet does not run?

The logarithmic spiral is self-similar. In the applet, there are two control points: one at the center of the spiral, the other on the spiral itself. However you move the latter the spiral remains the same: at most it rotates, even when you move the point away from the center of the spiral. To see that, show two spirals simultaneously.

Explanation

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