I want to verify a theory stating that a golden mean spiral plotted on a polar graph will have intersection points at specific values.
There should be 8 concentric circles, each at the same distance as the previous one. The radial lines should be in 10-degree increments, and the spiral should start from
0 on the first circle in the middle and end on circle #8 at
The golden mean spiral should progress independently of the grid lines. If all these requirements are met,
NSolve should reveal where the intersection points are (the theory claims
- 0deg at circle #1
- 120deg at circle #2
- 190deg at circle #3
- 240deg at circle #4
- 280deg at circle #5
- 360deg at circle #8).
If the initial stretch of the spiral proves the theory wrong, trying to stretch the spiral between any 2 intersection points might do it.