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Topic: #Welcome to #computertech! | End3r is DJing live at https://is.gd/yDJnuF | HIDE YOUR KIDS HIDE YOUR WIFE |
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Filtering by user: ski
Monday, November 7, 2022
[22:13:00] @ ski meow
[22:14:28] @ ski heya peeps :)
[22:14:53] @ ski 'm ok, ty
[22:15:28] @ ski was just looking at a paper named "Sacrificing the calf of flexibility on the altar of reliability"
[22:15:40] @ ski (short one, just three pages. from 1976)
[22:16:56] @ ski well, i was obsessing a bit about a Pythagorean metric idea i had .. which could potentially be applied for selecting a path in a game (although it's not entirely clear whether one'd want to)
[22:17:16] @ ski ComputerTech : maybe this guy ComputerTech does ?
[22:17:36] @ ski he seems to be into writing scripts for bot, you could try asking him
[22:18:55] @ ski anyway .. basically, you know how if you have a right angle (or rectangle) with side lengths `3' and `4', then the diagonal (hypothenuse) is `5', also an integer
[22:19:48] @ ski so, if you have a game grid, where you can only move vertically and horizontally, then the distance between two points is the sum of the distances of the two coordinates, `dx + dy = (x1 - x1) + (y1 - y0)'
[22:21:15] @ ski but now i also want to add all these diagonal paths, which are *exact* integers .. so all scalings of `(3,4,5)', iow `(6,8,10)',`(9,12,15)',&c. and also the same for all other pythagorean triples `(a,b,c,)' (where `a^2 + b^2 = c^2') such as `(5,12,13)' (there are infinitely many of them)
[22:22:18] @ ski one curious thing is that, sometimes, it is more efficient to move along such a diagonal path, and then move slightly backwards, rather than always move further and further away from the starting point .. this might feel a bit unintuitive ;)
[22:22:37] @ ski s/right angle/right triangle/
[22:25:18] @ ski .. anyway, i ran out of steam, for a bit, due to it being annoying to check that i didn't miss some possible diagonal composite paths in my analysis. so i wanted to generate them programmatically, possibly using dynamic programming, and also started making a simple library for handling ordered (possibly infinite) streams of data, which i think could help merging all possibilities in order
[22:26:34] @ ski you're back from Poland, ComputerTech ?
[22:26:50] @ ski ah, just back to IRC, itym
[22:35:22] @ ski ah, classic film :)
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