this post was submitted on 16 Oct 2025
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Is this just exponential growth, or do I not get the reference?
There is a story about a guy who got a wish from a king or something. He said he wanted a grain of rice on a chessboard and double it on every square. The king didn't exect much of it and the guy got a shit ton of rice.
I think he got killed for being a douche.
It doesn't really make sense from the picture, because the grains just grow randomly insted of exponentially
They are growing exponentially on the diagonal from the right downward and to the left.
I’m wondering why they chose that pattern instead of going straight across a row or column.
There are lots of ways to fill a 2D space with a single non-crossing path. I'm sure counting the ways could be interesting to some. I guess you'd prefer a zig-zag oriented orthogonal to the sides, rather than the corners. This orientation fills the frame of a photo a little better though given the perspective. You could also make a spiral. I think the Hilbert space filling curve is way more interesting, but probably would make for a confusing photo.
I was thinking it would be interesting to see the functions for a given diagonal in OPs scheme, versus a row or column based approach. Then it occurred to me it might be easy to transform between these variants.