The idea for this kaleidoscope was inspired by a linear algebra lesson about geometric transformations with matrices. Click anywhere while holding down the Alt key to add a new point. Try various options and play the animation. You can add additional points while it is active. Select "locators" to find the originals and move them around. You can delete a locator with Alt-Click.
This Demonstration grew out of an experiment with pure functions, Trigger, Locator, and the option LocatorAutoCreate.