Friday, January 20, 2017

Mathematics and Art

In the 70s, an area of mathematics called "catastrophe theory" was very popular. It turned out to be a fad, but it captured the imagination of the artist Salvador Dali.

There are 7 types of catastrophes: fold, cusp, swallowtail, butterfly, hyperbolic umbilic, eliptic umbilic and parabolic umbilic.

300px-The_Swallowtail.jpg (300×236)

This is "The Swallow's Tail"


Nowadays (perhaps more accurately, ten years ago), the public seems to be enamored with fractals. Fractals are far less interesting and philosophically important than some would have you think, but fractal art can be very beautiful.

Fairy Tree fractal art

The Manhattan project fractal art

Johan Andersson's "'St Anthony and The Temptation of the Fractalic Mystical Daliphan" is an obvious pastiche of Salvador Dali's "The temptation of St. Anthony"

Fractal art Fractalic Mystical Daliphants

An obvious mathematical-artist is M.C. Escher. Here are a few of his lesser known pieces:

Image result for mc escher infinity



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