2015 - Wasn't it all finished long ago?

What is mathematics? Turn your back for a moment and it's changed - yet not.

What is it for? What are mathematicians doing nowadays? Before the invention of spoken or written languages, dance was a more important method of passing stories down from generation to generation. Just watch the birds, the animals and the fish. Mathematicians are studying court spectacles that combine music, drama, poetry, song, costumes and dance. And they also take part in the spectacles as players. They learn to play the game. Mathematics is all of these, and none. Mostly, it's just different. It's certainly not just a fixed body of knowledge in motion. Its growth is not confined to inventing new numbers, and its hidden tendrils pervade every aspect of modern life.

A well known example of mutualism is cultural growth in the relationship between ungulates such as cows and bacteria within the intestines. The ungulates benefit from the cellulase produced by the bacteria, which facilitates digestion; the bacteria benefit from having a stable supply of nutrients in the host environment. Mutualism plays a key part in ecological cultures.

For example, mutualistic interactions are vital for terrestrial ecosystem function as nearly 50*% of land plants rely on mycorrhizal relationships with fungi to provide them with inorganic compounds and trace elements. Just as in participatory dance, whether it be a folk dance, a social dance, a group dance such as a line, circle, chain or square dance, or a partner dance such as is common in  ballroom dancing, is undertaken primarily for a common purpose, such as social interaction or exercise, of participants with a mutual interest of intimacy in mathematical numbers, patterns and designs.