And to thinkMarch 17, 2011
M. C. Escher, graphic artist extraordinaire, did most of his stuff with his mind, a pencil and basic draftsman’s tools: An F# Functional Geometry Description of Escher’s Fish. Although his work was mathematic art at its best, Escher recognized limitations by which he refused to be bound. From a 1957 Escher essay on tessellations (tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps):
In mathematical quarters, the regular division of the plane has been considered theoretically . . . Does this mean that it is an exclusively mathematical question? In my opinion, it does not. [Mathematicians] have opened the gate leading to an extensive domain, but they have not entered this domain themselves. By their very nature thay are more interested in the way in which the gate is opened than in the garden lying behind it.
Escher understood the methods and proofs needed for opening a mathematic gate, but was further interested in logic of space, perspective, and creating his own brand of order out of chaos. I would bet, however, that he would be impressed with the computer language version of his work.
Jenny’s legs (I think that’s the correct fish – nope, correction):
I would love to live in a house built according to Escher’s work, magically endowed with all of the gravitational trickery required to inhabit it. No one would ever find me again.
All things Escher with a huge gallery — Wow. He’s just about as cool as Tesla, which is another man, another story, for another time. Escher Mathematical Art MousepadEscher Mathematics Children Teens Talent