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siriusmart @lemmy.world
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[2024/08/07] Hypocycloid

Draw a hypocycloid using a graphical calculator (such as Desmos or Geogebra).

Your hypocycloid should include

  • Inner circle of radius `a
  • Outer circle of radius `b
  • As time t increases the point on the inner circle should trace out the pattern, you can animate the graph using t.

Below is the link to a Desmos graph:

https://www.desmos.com/calculator/vzgog7xqrz

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1 comments

  • Hint:

    spoiler

    Try out the following tasks before going for the big one

    1. Draw a circle of radius a.
    2. Animate a point on circle a, let that be your rotational speed.
    3. Animate a circle rolling horizontally (along the x axis) at your rotational speed.
    4. Animate a point on that horizontally rolling circle.

    You should now have an idea on how to draw a hypocycloid.

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