Octa-Sphere

This is what the rectangle to octahedron to sphere looks like... finally! 8-P
I need to do the world-building bit, now. As per usual. I'm using a random circumference from 30 to 50 thousand km. I've had the user input something before, but now I just want to get on with random generation; I can always revise my code later. Two ways I can do this are to have a quick random walk or make some Worley Noise. I can create a grid of quads here and randomly select a starting point and start looking for adjacent quads which aren't land and changing them to land. Or do the WN thing by randomly distribute feature points and see which are nearest to a given feature point but far enough to be above water.

40096 km in circumference. Each hemisphere is 20 quads across and there are 800 quads.
The surface area is 511.74 m. km^2, so each quad is about 0.639 m. km^2. The quads are not all the same size, of course, there is plenty of distortion. At some point we can sort and group quads...