Plotting a Limacon¶
This is a program that plots the shape of a limacon for r = 0.8, r = 1.0, and r = 1.2
In [1]:
import matplotlib.pyplot as plt
from pandas import Series, DataFrame
import pandas as pd
import numpy as np
def main():
print()
print("This is a program that plots the shape of a limacon for r = 0.8, r = 1.0, and r = 1.2")
print()
#------------------------------------------------------------------------------
x = np.linspace(0, 2*np.pi, 100) #create curve for r = 0.8
r = 0.8 + np.cos(x)
w,y = r * np.cos(x), r * np.sin(x)
fig1 = plt.figure()
hw1 = fig1.add_subplot(1,1,1)
hw1.plot(w,y, label = 'r = 0.8')
#-----------------------------------------------------------------------------
#create curve for r = 1.0
r = 1.0 + np.cos(x)
z,k = r * np.cos(x), r * np.sin(x)
hw2 = fig1.add_subplot(1,1,1)
hw2.plot(z,k, label = 'r = 1.0')
#-----------------------------------------------------------------------------
r = 1.2 + np.cos(x) #create curve for r = 1.2
j,m = r * np.cos(x), r * np.sin(x)
hw3 = fig1.add_subplot(1,1,1)
hw3.plot(j,m, label = 'r = 1.2')
#-----------------------------------------------------------------------------
hw1.set_title('Plotting a limacon') #create labels, legends, and x y limits for plot
hw1.legend(loc = 'best')
hw1.set_ylabel('r * sin')
hw1.set_xlabel('r * cos')
hw1.set_ylim([-1.5,2.0])
hw1.set_xlim([-0.5, 3.0])
#-----------------------------------------------------------------------------
plt.show() #show plot
main()
