German artist Max Ernst (1891 – 1976) incorporated a lot of sophisticated mathematical ideas into his works. Indeed, many Surrealists and Dadaists of the Anti-Tradition had a sophisticated grasp of mathematics and represented mathematics in a variety of astounding ways.
The 1942 picture, “Young Man Intrigued by the Flight of a Non-Euclidian Fly” shows a Young man observing a fly, through Euclidean triangle eyes. The fly executes a complex flight path leaving a trace behind it. That trace criss-crossing itself creates a large number of Non-Euclidian triangles. Quite literally, the Young Man is looking at a world with eyes that are utterly different to the reality of the World.
In mathematics, there are broadly three kinds of triangles: Hyperbolic, Euclidean, Elliptic. They each have three sides meeting at three corner angles and those features make them into triangles. An elliptic and hyperbolic triangle will not have corner angles…
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