Creation of this applet was inspired by a [url=https://twitter.com/gogeometry/status/950550173792522241]tweet[/url] from [url=https://twitter.com/gogeometry]Antonio Gutierrez[/url] (GoGeometry). [br][br]You can move the [b]2 LARGE WHITE POINTS[/b] anywhere you'd like at any time. [br][br][b][color=#0000ff]How can we formally prove the phenomenon seen here? [/color][/b]