It might not look like much, but this is something I haven’t seen made on any other site and it took me a few months to figure it out. In short, this is a visual demonstration of tileable diamond-square heightmap (more commonly known as plasma noise).
Since it uses a pseudorandom number generator for interpolations, the main advantage over Perlin or Simplex noise is a complete lack of grid artifacts; however, this also means that it requires information from neighbor cells to properly generate. This means it cannot be seamlessly tiled without some confusing magic code.
It is definitely not perfect. There are visible holes and parts popping out, but I believe that’s an issue with terrain generation, not the noise itself. My biggest priority was getting it to run at a high framerate and here it is generating at distance of 12 chunks in each direction, with each chunk being 64 studs.
Don’t really have any projects I could use this in, but maybe someday in the future.
EDIT: Better video uploaded.