Almost everything I found in the golden map is numerical. This part you can actually solve by hand.

 and look for a fixed point, a value that maps to itself. I wanted to know where that fixed point goes as 

, since any positive number to the power 

That is the golden ratio's own defining equation turning up on its own. Solving the fixed point numerically at large 

 falls out of the map exactly, instead of as a limit of measured lengths. If there is a real reason the golden ratio runs through this whole map, I think it starts here.

The one place the golden map gives you φ exactly is its fixed point

Related to this topic

No comments yet