I've been playing around with the Surreal numbers and one thing that prompted is how to get to non-dyadic rationals from dyadic rationals. You can approach them by bouncing back and forth between dyadic rationals like this for 1/17:

- 1/8 ≈ 0.125 (target=0.058823529411764705)
- 1/16 ≈ 0.0625 (target=0.058823529411764705)
- 1/32 ≈ 0.03125 (target=0.058823529411764705)
+ 3/64 ≈ 0.046875 (target=0.058823529411764705)
+ 7/128 ≈ 0.0546875 (target=0.058823529411764705)
+ 15/256 ≈ 0.05859375 (target=0.058823529411764705)

This makes some cool little patterns based on whether you are adjust up or down. 1/17 is boring, but 1/13 is a bit fun: 000100111011000100111011
#surrealnumbers #math