Creation of this applet was inspired by a [url=https://twitter.com/gogeometry/status/868166274953736194]tweet[/url] from [url=https://twitter.com/gogeometry]Antonio Gutierrez[/url]. [br][br][b]You can move the LARGE WHITE POINTS and/or [color=#ff00ff]PINK POINT[/color] anywhere you'd like![/b][br][br][b][color=#0000ff]How can we formally prove the phenomenon dynamically illustrated here? [br][/color][/b][br]