Monday, July 5, 2010


construction of hypocycloid
  • The curve traced by a point on a circle which rolls on the inside of a circular base surface.

  • Step 1: Divide the rolling circle in to 12 equal divisions.
  • Step 2: Transfer the 12 divisions on to the base surface.

  • Step 3: Mark the 12 positions of the circle - center (C1,C2,C3..) as the circle rolls on the base surface.
  • Step 4: project the positions of the point from the circle.
  • Step 5: Using the radius of the circle and from the marked centers step off the position of the point.
  • Step 6: Darken the curve.

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