Snail's Trail Quilt Square

I created this GeoGebra applet based on a quilt square pattern to use in a precalculus class as a visual introduction to the sum of an infinite geometric series. A nice accompaniment is this applet from Irina Boyadzhiev. I also created a Desmos activity with a focus on asking questions which incorporates these two applets.

Indiana Puzzle Quilt

This applet was inspired by a quilt square my mother-in-law made. It provides a nice way of visualizing the  the sum of an infinite geometric series.
Check out the pattern in some real quilts, too!

Update 1/5/2017: See the Snail's Trail Quilt Square

\(\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + . . . \)

A simple applet illustrating the sum of the geometric series \(\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + . . .  \)

Graphs of Taylor Polynomials

Use this demonstration from the Wolfram Demonstrations Project to explore Taylor polynomial approximations to a variety of functions. (To interact with it online you'll need to download and install Wolfram's free CDF Player.)