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Feb 26, 2022 at 23:21 comment added orion elenzil I wasn't able to find an answer to this, so I rolled my own. It's not a 'single' formula but rather 4 or 5 separate formulae. I wanted it write the UIam Spiral as a shader, which inherently means you're given the cartesian coordinates and need to decide what to do from there. shadertoy.com/view/ssjBRm
Oct 29, 2015 at 3:29 comment added John Henckel Great question. I'm interested in this because it provides a nice spatial hashing algorithm. For example convert (x,y) to ulam, and then insert into hash table using ulam as key.
Sep 23, 2013 at 5:34 history closed Ricardo Andrade
Todd Trimble
Chris Godsil
Andrés E. Caicedo
Andrey Rekalo
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Sep 22, 2013 at 20:52 review Close votes
Sep 23, 2013 at 5:34
Sep 22, 2013 at 20:30 answer added Adam P. Goucher timeline score: 3
Jun 22, 2010 at 9:28 history edited Andrea Ferretti
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Jun 22, 2010 at 5:41 comment added Roland Bacher As you observed, it is easy to find formulae (given by polynomials of degree $2$) for the four "half-lines" given by $\vert x\vert=\vert y\vert$. One gets then formulae for the general case according to the quarter plane determined by $\vert x\vert=\vert y\vert$ containing a given point. I think that this is the simplest solution. By the way, I agree with your first thought.
Jun 22, 2010 at 3:47 history asked cerebral_monkey CC BY-SA 2.5