The always good Anemone!
eptagons_involute_V1.gh (21.5 KB)
Interesting to see: (speculations after seeing a large spiral made) apart from the very start, this spiral-involute have straight segments!
It make straight sequence of eptagons doing left-right-left-right-etc turns, you can “detect” the change of segment when it does two right turns one after the other.
Apart from the start, the segments “lengths” are:
So… a sequence of odd numbers with each number triple time.
This could become a new, very light and fast method to build the spiral.
It would be really interesting if some math expert/graduate come up here explaining what is going on …
i have no clue XD.
the sequence actually works from the very start:
Just for completion:
Light-weight script: 37k eptagons in istants.
The “fillings” can be made with other 2 repeatable shapes, which follow again a predictable pattern.