[2024/08/07] Hypocycloid

dailymaths·Daily Maths Challengesbysiriusmart

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:

Hint: ::: spoiler spoiler Try out the following tasks before going for the big one

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

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