>>5482

ty, and thanks for popping in. Hope you are well today. Had the last of leftover lamb from Easter in a sandwich the other day, and thought of Harold for a moment w/ his last supper.

The plots would look so much better as color gradients, but even just the numbers themselves show the pattern.

Also shows getting between the n, and x+n for some ranges is tighter than others.

The thought was perhaps by moving within a gradient (like along the same topological line on a mountain map, staying at the same height), maybe it would make a difference.

>>5481

One little hint? One try was to break down into multiple squares, each with their own 8 triangles +1. Will find a pic from while back, but if that makes any sense please chime in.

>>5475

Thanks CA, interesting.

>>5471 Kek2

>>5493

Haven't been able to follow your notation, doesn't mean it doesn't make perfect sense to you. Incorporating the Mandelbrot and fractal aspect is going to be very interesting.

The "d" we are using represent a square root. So for 64, d=8. If a number isn't a perfect square (say 65, instead of 64), then it would be 8.xxx. Instead of using some decimal square root, we say d=8, and e=1 (bring the 65 down to 64 first, a difference of 1, so e=1, giving you the closest integer d root).

>>5509

Have watched quite a number of those Numberphile episodes on this quest!

>>5508

Interesting! Nice digging on V's question re: pi and Mandl relationship.