Euler Spiral

Euler Spirals in the style of @matthen2. [url][/url] The Euler Spiral is composed of congruent segments, bent at ever increasing angles. After Matthew's nice animation, I wanted to see it in GeoGebra. I'm not good enough with the sequence command to do true iteration. So this has a 1 step and a 10 step tool to add on to the spiral. The slider controls how much of an increase in the nudge each time. It really exhibits pretty chaotic behavior. I'm pretty curious about the interaction between the original angle between the first two segments and the nudge angle that the bend increases by each time. There's a 2nd version with more constraints (another slider): [url][/url]


John Golden

Material Type
euler  spiral 
Target Group (Age)
11 – 14
English (United States)
GeoGebra version
Report a problem
© 2018 International GeoGebra Institute