Escher style Geometry Art from J. R. Masterman's 9th grade geometry class









abstract geometric Islamic-style Alhambra-style tessellation

APERIODIC GEOMETRIC TESSELLATION from Monica

This is an aperiodic abstract geometric tessellation, in the style of Sir Roger Penrose, who popularized the technique amongst mathematics professors from the 1970s onward. Monica's copy of it appears on the coverpage of a presentation Monica made about tessellation. You can see a discussion of this specific pattern and others here, or a general discussion of Penrose (aperiodic) tessellations at Wikipedia. Compare this abstract tessellation to Monica's "Flying Geese" tessellation and you'll see a fascinating dichotomy of high style.

Two short years ago, Tessellations.org was strictly for Escher-style tessellation art. If the pattern didn't look like a real thing-- a fish, a fishhook, or a fisherman for example-- we wouldn't show it here.

Now, we show "both kinds": Escher style, and this style. This style is called by many names: abstract tessellation, geometric, Islamic, and even "Alhambra" tessellation, taking its name from the famous Islamic mosque in Spain where Escher first got his inspiration to do tessellations. Escher's earliest tessellations are simply copies of Alhambra architectural art, painted into his notebook.

You can see why Tessellations.org eventually changed its policy. Although this kind of tessellation is very different from Escher style, you can see in Monica's presentation that it has the strong power to amaze and awe. You can, no doubt, feel the cleverness and dizzying power of geometry and by extension all physics and math.

Well done, Monica.