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

  • @siriusmartOPM
    1•1 month ago

    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.