Recently I have been looking for more beautiful representations of different mathematical objects. I am more into knots recently and I have found this incredibly beautiful representations made by fdecomite on Flickr. For those that do not know what knots are, here is a small definition:
In mathematics, a knot is an embedding of a circle in 3-dimensional Euclidean space, R3 , considered up to continuous deformations. A crucial difference between the standard mathematical and conventional notions of a knot is that mathematical knots are closed—there are no ends to tie or untie on a mathematical knot. Physical properties such as friction and thickness also do not apply, although there are mathematical definitions of a knot that take such properties into account.
The branch of mathematics that studies knots is known as knot theory, and has many simple relations to graph theory.
Here are the beautiful representations of knots made by fdecomite on Flickr:
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