Sine Spaghetti (by Steve Phelps)

Original creativity and design in the app below by Steve Phelps.
Move the LARGE POINT P to various locations around the circle. Each time you do,
  1. Press the Make Segment button.
  2. Drag the segment you just made so its endpoint that originally touched the horizontal axis now touches the open-holed point on the right. (See quick screencast below.)
  3. Repeat steps (1) - (2) numerous times. Get as many segments dragged to the right as you can.
  4. Use the PEN tool to draw a curve that connects the other endpoints of the segments that do not touch the horizontal axis.
What does this curve look like to you? Describe.
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– Tim Brzezinski, Steve Phelps

Information: Sine Spaghetti (by Steve Phelps)