I appreciate what you are saying, but noise looks like noise. Here's an example of a useful pattern: the blank line extending to the right from zero, corresponding to the numbers {n^2 | n in 1,2,3,...} and below it {n^2-1 | n in 1,2,3,...}.
Such a great example of a visualization helping to illuminate the abstract truths in numbers. Its obvious to most people that {n^2} contains no primes. Is it obvious that {n^2-1} doesnt't either?
precisely. maybe its a trivial example, but if no mathematician had discovered the factorization of n^2 - 1, this visualization device would have been a helpful clue.
Such a great example of a visualization helping to illuminate the abstract truths in numbers. Its obvious to most people that {n^2} contains no primes. Is it obvious that {n^2-1} doesnt't either?
(except where n=2)