[size=150]This construction was based upon a new awesome discovery by David Smith, Joseph Samuel Meyers, Craig S. Kaplan, and Chaim Goodman-Strauss. [/size]
[size=150]The tile you see below is an [b]aperiodic tile[/b]. That is, it is possible to entirely cover your screen with these tiles [b]in such a way that they do not repeat in any pattern, nor with any rhyme or reason! [br][/b][br][i]There is no other single tile that has yet been discovered that can do this. [br]This is the first of its kind! [/i][/size]
[size=200][b][color=#1e84cc][url=https://www.geogebra.org/classic/gq5mtkfa]Click here for a much larger, full-screen version where you can create & save your own tessellation![/url][/color][/b][/size]
More info re: this cool discovery can be found [url=https://arxiv.org/abs/2303.10798]here[/url] and [url=https://arxiv.org/pdf/2303.10798.pdf]here[/url].