Understanding Shaders

[Granyte]

1. Why not google mipmapping? Do you want me to do it for you?
2. It is quadratic, not exponential. A 10x10 crossword has 100 squares, a 20x20 crossword has 400 squares.

you could just have said google mipmapping that would have been enough

[mongoose7]

Ah right, you only have a very few intermediate steps

So what's the answer? As far as I'm concerned, the series converges rapidly and every additional term gains a decimal place. Therefore, except for the possibility of rolling the 'current' place to the next value, later values cannot affect the leading digits of the early values. But I just wrote a program to do the sum. It turns out that REDDemon was correct. It appears to be exactly 1 1/3.

But the original figures are interesting. 4 + 4/3 = 4 x 4/3.

[hybrid]

Yes, this sum converges to 1/3 (or 4/3 of you take the initial 1 into account).