Oh my! Your story is a very significant overlap with mine! I started programming at an age of 11 years, when I did not even know the meaning of sin and cos.

Oh my! Your story is a very significant overlap with mine! I started programming at an age of 11 years, when I did not even know the meaning of sin and cos. The spinning 3D ring I had created was slow like yours, speeded up by caching sin and cos values like yours. The final one had entire frames precomputed in memory and cycled by hand-written machine code into the video memory space. That last one was when I was when 14 years of age.