I think it can be done that way yeah but in order to yield a uniform-density of points on the surface of the sphere there's some pre-correction (maybe a sqrt or something? I can't remember) that's needed before feeding the 'uv' values to the trig functions to make 3D positions. Otherwise points will 'bunch up' and be more dense at the poles I think.
Readit Newsmurkle commented on A simple way to generate random points on a sphere johndcook.com/blog/2025/0... · Posted by u/piinbinary
murkle commented on A simple way to generate random points on a sphere johndcook.com/blog/2025/0... · Posted by u/piinbinary
The simplest way to do this is described here: https://mathworld.wolfram.com/SpherePointPicking.html
Essentially:
1. Generate uniformly random values u,v between 0 and 1.
2. Then find their spherical coordinates as:
theta = 2 pi u; phi = acos(2 v -1)
Honestly I’m unsure why you’d choose a method any more complicated.
Nice! Quick demo https://www.geogebra.org/m/fxmk3t6q
murkle commented on Generating (almost) equally-spaced points along a parabola arjuns07.github.io/posts/... · Posted by u/sharma-arjun
Works well for flat parabolas. For "tall" ones you can get a big jump just after the peak https://www.geogebra.org/m/eft5vqbd
murkle commented on A new pyramid-like shape always lands the same side up quantamagazine.org/a-new-... · Posted by u/robinhouston
To me the most obvious proof is that therere are no numbers in between 0.999... and 1. Therefore it must be the same number.
Exactly, add them up and divide by 2. What's the answer?
murkle commented on Putting Rigid Bodies to Rest [pdf] cs.cmu.edu/~kmcrane/Proje... · Posted by u/murkle
.STl files are available to download and print here:
https://www.cs.cmu.edu/~kmcrane/Projects/RestingBodies/suppl...
Edit: see @srean's excellent explanation why that won't do.