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The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new ...

Geometry deals with 2d shapes, 3d shapes, lines, planes, angles etc. Let us have a look at these concepts in brief. Any closed with 3 or more than 3 sides is called a polygon.

Test your knowledge of taxicab geometry, triangular numbers, the golden ratio and more.

Dr Coates, from the Department of Mathematics at Imperial College London, added: "Most people are familiar with the idea of three-dimensional shapes, but for those who don't work in our field, it ...

But to mathematicians, shapes encompass a vast universe of surprising forms, from one-dimensional loops to polytopes (geometric objects with flat sides that can exist in any desired dimension).

The geometry they explored was, in many ways, similar to that of Renaissance perspective. Non-Euclidian mathematics has since moved on to explore space which has 12 or 13 dimensions, far outside ...