"""Set a new acceleration for the path.""" """Set the maximum speed the path can achieve."""Įrrmsg = "Min speed cannot be greater than max speed."ĭef set_acceleration(self, acceleration): # Initialize time-based curve attributes. # radius of the equation at each angle interval, then plots the equation inĭef _init_(self, radius, init_angle, end_angle, speed, acceleration, *args, **kwargs): # each new curve class must implement a function (relation) to calculate the # you will see below with the Hypotrochoid class). # This is a basic curve class from which all other curves inherit from (as Here is the code, it's written in python: class _BaseCurve(event.EventAware): What methods SHOULD be used to calculate a hypotrochoid if my methods are wrong? Since the x and y values are determined by a function of x and y at angle $\theta$ I assumed I could simply loop through the values of $\theta$ from 0 to $2\pi$ and calculate the x and y values separately at certain intervals, then plot the coordinate in polar form (where $r^2 = x^2 + y^2$), but I suppose I thought wrong. My hypotrochoid (with the same values) looks something like this: So a hypotrochoid with values $r=d=1$ and $R = 3$, should look something like this:īut that is certainly not what I am ending up with using my computing method.
Where the point is a distance d from the center of the interior Radius r rolling around the inside of a fixed circle of radius R, The definition on Wikipedia of a hypotrochoid can further explain:Ī hypotrochoid is a roulette traced by a point attached to a circle of For those that are unfamiliar, the parametric equations of a hypotrochoid are: I have been trying to use a computer to plot some hypotrochoids, but I've run into some issues.
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