The product of reflections
Start with the red F. Reflect it across a line. Reflect that image across
a second line. Reflect that image across the first line. Continue until you
don't get any new Fs.
What angles between the lines give symmetric patterns of small numbers of images?
The red parts of the diagram can be moved with the mouse.
This is a prototype of JavaSketchpad, a World-Wide-Web component of The Geometer's Sketchpad. Copyright ©1990-1997 by Key Curriculum Press, Inc. Allcopy;1990-1997 by Key Curriculum Press, Inc. All rights reserved. Portions of this work are being funded by the National Science Foundation (awards DMI 9561674 & 9623018).