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EntityQ25304540· pop 6· linked from 8 articles

In geometry, a cyclogon is the curve traced by a vertex of a regular polygon that rolls without slipping along a straight line.

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Cyclogon

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Contents
  • 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.

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