Recent research suggests that the underlying symmetry in neural patterns of geometric world mapping in the mammalian brain are toroidal. “(…) the Mosers discovered the activity structure of single grid cells. What they found was a hexagonal grid pattern that functions as the brain’s metric and coordinate system for space. Today they have uncovered the […]

# Category: mathematics

## Why is Mathematics Difficult?

A curious revelation of logic, mathematics and physics is that the concepts themselves are never really all that difficult and can usually be quite rapidly grasped if the method of education is sufficiently powerful. The difficulty lies in acquiring an aptitude to intuitively understand and leverage the relationships between the symbols that are used to […]

Context: Liquid sheep – drone footage. The patterns of sheep transit are as of slime mould moving, or of liquid flow – perhaps quicksilver. Note that the resemblance is not merely superficial or in any sense trivial. Complex systems dynamics quite naturally gravitate towards functional eloquence over a diminished or abbreviated dynamical vocabulary; more or […]

## Infinitely Random Encryption Seeds

Context: The Puzzling Search for Perfect Randomness I can never resist a good speculative and completely “out there” waffle. Randomness is non-trivially significant in cryptography. The closer the approximation of a numerical sequence or the properties of an abstract geometrical object to randomness, the more difficult the encryption seed derived from it is to crack. […]

## Random Facts: π and Six 9’s

A brief post on a mathematical curiosity. I was introduced to the concept of “six 9’s” very recently. It is a definition of the (extreme) high availability of a system. This can be used to specify or demonstrate the required uptime and availability of, for instance, a computer server or related communications or information processing […]