If unity is assumed, then the only coherent approach is to work backwards from it. This is not about sentiment or abstraction but about logical necessity: if there is unity, then every relation already participates in it, and our task is to discern how those connections reproduce the whole. Unity is not an optional conclusion […]
George Cantor (1845–1918) transformed mathematics with his revolutionary work on set theory and infinity, proving that infinities could be compared and hierarchised. This intellectual breakthrough redefined the foundations of logic and abstraction, yet came at great personal cost: facing professional opposition and isolation, Cantor struggled with #depression throughout his life. His legacy endures as a […]
An electronics project I built in 2022. It reacted to audio input (i.e. noise, voices) and changed the patterned system of light in a continuous feedback loop with its environment. Each face is an identical irregular triangle but the resulting dodecahedral geometry is such that all edges are the fulcrums as bilateral axes of a […]
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 […]
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 […]
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. […]
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 […]
Daedelus Kite 