The Map of Mathematics

In this video, the entire field of mathematics summarised, starting at the origins, in a single map…

This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.

Why is Symmetry so Satisfying?

In an early chapter of his interesting new book, Symmetry: A Journey Into the Patterns of Nature, Marcus du Sautoy describes a visit to the Alhambra, the great Moorish palace in Granada, Spain. He and his young son spend an afternoon identifying 14 different types of symmetry represented in paving patterns, ornamentation, and tile work.