107學年度第一學期多元選修課程：數學解題程式設計專題作業－「幾何拼貼」

https://goo.gl/forms/FTe1HW1wyQMNpWXu1

# Lissajous' figures

# Lissajous' figures 
# python code is as follows:

import numpy as np
import matplotlib.pyplot as plt

a=1
b=1
p=9
q=10
c=0.0
t = np.linspace(0,6.28, 1000)
x = a*np.sin(p*t)
y= b*np.cos(q*t+c)

plt.figure(figsize=(8,6))
plt.plot(x,y,color="red",linewidth=2)

plt.title("Lissajous' figures")

plt.show()

# The output is as follows:

# 圓的漸伸線

# 圓的漸伸線 
# python code is as follows:
import numpy as np
import matplotlib.pyplot as plt

a=1

t = np.linspace(0,30,300)
x = a*(np.cos(t)+t*np.sin(t))
y= a*(np.sin(t)-t*np.cos(t))

plt.figure(figsize=(8,6))
plt.plot(x,y,color="red",linewidth=2)

plt.show()

# The output is as follows: