Epicycloid animation with Matplotlib in Python

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ratio = 2

Here is the modified code to Thomas Kuhn hypocyloid
Thomas Kuhn hypocyloid
import numpy as np


class Epicycloid:

def __init__(self, ratio, frames, ncycles):

# Big circle (stationary):

# Small circle (rolling outside):

# Line and dot:

# Epicycloid curve:

# Create the animation
interval=50, blit=False,
repeat_delay=2000,
)

def update_small_circle(self, phi):
# Update the small rolling circle (outside the big circle)

def update_epicycloid(self, phis):
# Update the epicycloid path based on current phase phi
R = 1

# Update the line connecting the center of the small circle to the point

def animate(self, frame):
frame = frame + 1

# Create the Epicycloid with a ratio, frames, and cycles
epicycloid = Epicycloid(ratio=3, frames=50, ncycles=4)

# Uncomment the next line if you want to save the animation as a gif

# Show the animation

import numpy as np


class Epicycloid:

def __init__(self, ratio, frames, ncycles):

# Big circle (stationary):

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