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Andrew's Cycloid Bananza
Beka's Splendid Spirographs
C.J.'s Cycloids They will blow your mind
Cycloid *The Game* Page
Cycloids - begin
Eric is confused
George's spirograph page
How-to Cycloid Video
Its a trap!
Janice simple creations
Kelsey's Awesome Cool Cycloids!
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What is a Spirograph?
A Spirograph is a curve formed by rolling a circle inside or outside of another circle. The pen is placed at any point on the rolling circle. If the radius of fixed circle is
, the radius of moving circle is
, and the offset of the pen point in the moving circle is
, then the equations of the resulting curve is defined by:
x = (R+r)*cos(t) - O*cos(((R+r)/r)*t)
y = (R+r)*sin(t) - O*sin(((R+r)/r)*t)
(moving circle outside the fixed circle)
x = (R-r)*cos(t) + O*cos(((R-r)/r)*t)
y = (R-r)*sin(t) - O*sin(((R-r)/r)*t)
(moving circle inside the fixed circle)
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