It's fun to see many mentions of the Golden Ratio here, which makes sense for room dimensions.
There is more legend/hype than I like about the golden ratio; I had to quit the Mario Livio book after 20 pages, just so much
.
But there's a brilliant video by Ben Sparks for Numberphile that explains the real magic:
The golden ratio is in a sense, the most irrational number we could find.
Instead, Pi is pretty well approximated as a ratio.
Another "very irrational" number is the square root of 2.
The whole idea is leveraging "continued fractions", i.e. expressions of the form:
x = 1 + 1 / ( 1 + 1 / ( 1 + ...))
With that in mind, you could easily manufacture "very irrational" numbers to suit your application.
There is more legend/hype than I like about the golden ratio; I had to quit the Mario Livio book after 20 pages, just so much
.But there's a brilliant video by Ben Sparks for Numberphile that explains the real magic:
The golden ratio is in a sense, the most irrational number we could find.
Instead, Pi is pretty well approximated as a ratio.
Another "very irrational" number is the square root of 2.
The whole idea is leveraging "continued fractions", i.e. expressions of the form:
x = 1 + 1 / ( 1 + 1 / ( 1 + ...))
With that in mind, you could easily manufacture "very irrational" numbers to suit your application.
