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c/dailymaths · by siriusmart@lemmy.world · 2y

[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

10 points · 1 comments · view on lemmy.world

1 Comments

siriusmart@lemmy.world · 1 pts · 2y

Hint: ::: spoiler 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. :::