/sci/ - Science & Math

>>7496996

This is a very interesting and mathematically data-based approach to exploring bricks, which is also along the lines of checks that I'm doing. I'm currently caught up in my train of thought but I mean to fully understand how this works at some point. Moreover, the focus on the "legs" of triples dovetails very nicely with the direction I'm moving in, which is why I want to especially encourage all development of this separate train of thought.

The direction I'm moving in is, to investigate and exposit properties of "almost-isoceles" Pythagorean triples, whose legs differ by a unit. I was surprised that (3,4,5) isn't the only one! There are (non-trivially) infinitely many of these triples, and per Nyblom, they have a one-to-one correspondence with the set of SQUARE TRIANGULAR NUMBERS: that is, the numbers which are BOTH square and triangular. These are spaced out very far apart and suck to calculate very quickly, but there /are/ infinitely many of them: 1,36,1225, 41616...