Epicycloid Construction – Free download as PDF File .pdf), Text File .txt) or read online for free. Constructing a Parabola (Eccentricity Method) Constructing an Ellipse ( Concentric Circle Method) . Construction is similar to epicycloid. In geometry, an epicycloid or hypercycloid is a plane curve produced by tracing the path of a chosen point on the circumference of a circle—called an.
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Epicycloids and other roulette curves are fun to play with using Manipulate. Here is one of many possible implementations.
Epicycloid — from Wolfram MathWorld
Although the question epicycooid calls for epicycloids, it is very easy to make interactive panel that allows the user to play with hypocycloids as well. Because there is a simple relationship between epicycloids and hypocycloids, doing so adds very little code.
Home Questions Tags Users Unanswered. Plotting an epicycloid Ask Question.
Have a look at demonstrations. Mostly a lot of fiddling with the epicycloid equations in a PolarPlot and some ParametricPlots. PinguinDirk is asking you to post the code epicyclold have tried thus far, so we can see where there might be a problem. I recreated the animation on Wikipedia: Here is the Manipulate version: I don’t know how many hours I’ve spent wasted on playing with roulettesbut it sure was fun.
Upvote for that masterpiece. It is easiest to use ParametricPlot and RotationTransform. Improved per comment from Mr. Sektor 3, 5 19 If one just wants to see the lines enveloping the epicycloid, the code is much simpler: Sign up or log in Sign up using Google.