your orb has an overdensity near the poles. instead of casting lines down from one corner when distributing points on your triangles, which creates an overdensity near that corner, you could fix this by instead creating a triangular tiling of points on them, as the set of points r*(1-a/n-b/n, a/n, b/n) for all indices a, b >= 0 s.t. a+b
Yep! Only after doing all this math did I discover that was an option haha. I did this project without first looking up the optimal ways to generate the sphere mesh because I wanted to go in blind, and enjoy the process of figuring out the math myself. If you look in the description you'll find that I linked an article about different ways to generate a sphere mesh.
I wrote a pretty good script that generates icospheres of custom resolutions and uses the job system + burst compilation not long ago, was pretty easy. the hardest part is the UV mapping of it, the seams are hard to mitigate. I ended up not doing UV mapping because of the seam problem.
haha i’ve done almost the exact same thing, trying to make my own sphere in unity. You will probably find it easier to use sin and cos, since this is more or less exactly what they were invented for
Why are you solving intersections between lines and a sphere? Why not just loop through different longitude and latitude (idk how else to say this) values using sin and cos to find the positions? You can also try normalizing points on a subdivided cube.
Yep! This technique distributes points in a way that they clump up near the poles. In that way it's similar to the UV sphere. As I mentioned in the description, this isn't the most optimal way to create a sphere mesh, I did this project in order to learn and improve. If you want to create a sphere for your own purposes, and even vertex distribution is important to your, I've linked an article about the different techniques in the description!
Dude I just made a video about the same thing. You seem a lot better at maths than me though! I had to get my maths teacher friend to help me with my algorithms 😆 Nice vid btw ❤
Spending 5 hours to find out you mixed up z and y is both the saddest and most relatable thing ever
I died inside a little when I found it
eat some sabich math man
Larry Cuda did this in 1977 to create the Death Star plans. He used an ancient PC and wrote his own renderer. We stand on the shoulders of giants 😁
Nice, I just needed a new orb to ponder, now I can make one
Never can have enough orbs
your orb has an overdensity near the poles. instead of casting lines down from one corner when distributing points on your triangles, which creates an overdensity near that corner, you could fix this by instead creating a triangular tiling of points on them, as the set of points r*(1-a/n-b/n, a/n, b/n) for all indices a, b >= 0 s.t. a+b
I prefer to subdivide a cube and normalize the vertices, because it's math my brain can wrap its head around much easier
Yep! Only after doing all this math did I discover that was an option haha. I did this project without first looking up the optimal ways to generate the sphere mesh because I wanted to go in blind, and enjoy the process of figuring out the math myself.
If you look in the description you'll find that I linked an article about different ways to generate a sphere mesh.
I wrote a pretty good script that generates icospheres of custom resolutions and uses the job system + burst compilation not long ago, was pretty easy. the hardest part is the UV mapping of it, the seams are hard to mitigate. I ended up not doing UV mapping because of the seam problem.
This video reminds me of Sebastian Lague's Coding Challenges, keep up the good work 👏
Great Video but you should use the circle you generated at 1:50 to make a pop filter for your microphone.
Point taken, next vid will be better haha
great balls very cool
this was painful... polar coordinates are your friend for anything involving circles.
I think if polor coordinates are your friend for circles. Spherical coordinates must be your best friend when it comes to spheres.
10/19 video i did not understand anything but haha circle
the return of the king
Computers can render spheres. Rasterization technique can't, but Ray tracing can.
what are you on about? raytracing rendering a sphere?
@@uliveulearnandregret Precisely.
haha i’ve done almost the exact same thing, trying to make my own sphere in unity. You will probably find it easier to use sin and cos, since this is more or less exactly what they were invented for
this was painful... polar coordinates are your friend for anything involving circles.. Sebastian Lague.
I love watching people make balls
Great job. Proud of you
Why are you solving intersections between lines and a sphere? Why not just loop through different longitude and latitude (idk how else to say this) values using sin and cos to find the positions? You can also try normalizing points on a subdivided cube.
Another interesting approach to this problem is using golden ratio spirals, aka. A Fibonacci Sphere :)
Actualy... you can use ray trace to render perfect sphere😊
very sphere
Cool but you should know that your points are not equally distributed on the surface of the sphere
Yep! This technique distributes points in a way that they clump up near the poles. In that way it's similar to the UV sphere. As I mentioned in the description, this isn't the most optimal way to create a sphere mesh, I did this project in order to learn and improve. If you want to create a sphere for your own purposes, and even vertex distribution is important to your, I've linked an article about the different techniques in the description!
Sebastian Lague
ORB
Dude I just made a video about the same thing. You seem a lot better at maths than me though! I had to get my maths teacher friend to help me with my algorithms 😆
Nice vid btw ❤
Im hiring you to write my scripts now
this was a very fun video... but bro, please make your videos louder, i had both my youtube and computer volume at 100 just to be able to hear you
если ты не заметил там квадрат...
יואו סרטון חדש!