cyclogon
Sign in to saveIn geometry, a cyclogon is the curve traced by a vertex of a regular polygon that rolls without slipping along a straight line.
~3 min read
Encyclopedic overview
8 sectionsContents
- Examples
- Cyclogons generated by an equilateral triangle and a square
- Prolate cyclogon generated by an equilateral triangle
- Curtate cyclogon generated by an equilateral triangle
- Cyclogons generated by quadrilaterals
- Generalized cyclogons
- See also
- References
In geometry, a cyclogon is the curve traced by a vertex of a regular polygon that rolls without slipping along a straight line.
In the limit, as the number of sides increases to infinity, the cyclogon becomes a cycloid.
Excerpted from Wikipedia’s “cyclogon” article, available under the CC BY-SA 4.0 licence.