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What is the math connection to creating an Escher-like tessellation?

2006-10-30 08:12:31 · 3 answers · asked by Hope 2 in Science & Mathematics Mathematics

3 answers

has to do with isometries of the plane and in particular linear transformations. There are different ways to perform tessellations and the easiest is to repeat the same shape without flipping it. This transformation is actually moving each point of the shape along a vector to its new position to create the second shape that looks like the first.

So tessellations are related to geometry, calculus, linear algebra, and others.

2006-10-30 08:19:26 · answer #1 · answered by raz 5 · 0 0

Escher's tessellations seem too complex to claim a strong connection to mathematics, although I know mathematicians like them. I can see the mathematics in getting hexagons cover a plane, but using lizards to completely cover a plane goes beyond mathematics, if you ask me. :)

2006-10-30 08:18:22 · answer #2 · answered by Anonymous · 0 0

This link has some good info.

http://www.mathacademy.com/pr/minitext/escher/index.asp

here's a fun link

http://www.mathsisfun.com/geometry/tessellation-artist.html

2006-10-30 08:23:50 · answer #3 · answered by Jimbo 5 · 0 0

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