On approximating PI
For example:
1/0.14 = 7.14..
Lets say 7
7 / 4 = 1.75
3^(7/4) = 6,838
3.14 * 1.75 = 5.495
Now let's say 1/0.1415 = 1.7747..
1.7747 / 4 = 0.443675
3^(0.443675) = 1.6329579
3 * 1.6329579 = 4.8988737
More approximate.
Lets try again.
PI = 3.14159265359
1 / 0.14159265359 = 7.06251330592
4 / 7.06251330592 = 0.2500000000
3^(0.25) = 1.31607401295
3 * 1.31607401295 = 3.40822203885
More appriximate again.
Etc.?
Question: How does this relate to geometry, dimensions and say triangles or voxels on a 2d screen? What about Holy Number 5 and translating it into 2d?
ReplyDeleteSo is it true that, given a certain widescreen resolution on a monitor, and polygons, the triangle Holy Number translated into geometry is used? What if instead of increasing pixels or calculating more polygons, we used a higher dimension Holy Number translated into 3d space and rendered as 2d?
ReplyDeleteWhy use square pixels anyway?
DeleteAlso, given PI = 3^(a/b), if b = 1, then what a equals, could be called its First Irrationality Factor. And if b = 2, then a is its Second Irrationality Factor, etc.
ReplyDeleteAnd if PI is a constant, and starts with 3, then 3^(a/PI), then a would be its First Doubly PI Irrational Factor, or the 3rd Doubly Irrational Factor of PI.
ReplyDelete