How to stop plotting when newly iterated scatter point is plotted on aleardy plotted scatter point?

Question

I am writing a code where I want the scatter plot to stop as soon as my code tries to plot a scatter point on an already existing scatter point.

This is the code I wrote that works for a divisor of 360,

r = 2
pi = np.pi
i = 0
theta = 10
for i in range(100):
    x = r*np.cos(theta +i*theta )
    y = r*np.sin(theta +i*theta )
    plt.scatter(x,y, label = i+1)
    if (theta +i*theta == 360):
        print(i)
        break

when theta = 10, the plotting process stops at i = 35

but rather than having my if condition as "stop code when theta is equal to 360", I need a code when code stops when a scatter point overlaps another, since this condition does not work for other integers.

Answer 1

I think the following code

x = r*np.cos(theta +i*theta ) 
y = r*np.sin(theta +i*theta ) 

should be written as

x = r*np.cos(np.deg2rad(theta +i*theta )) 
y = r*np.sin(np.deg2rad(theta +i*theta )) 

then you can change theta to any other value when using if (theta +i*theta == 360) to avoid scatters overlapping.

In the following code, I changed theta from 10 to 5, and used red text to show the overlapping points.

import numpy as np
import matplotlib.pyplot as plt
r = 2
pi = np.pi
i = 0
theta = 5
nloop = 100

for i in range(nloop):
#     x = r*np.cos(theta +i*theta )
#     y = r*np.sin(theta +i*theta )
    x = r*np.cos(np.deg2rad(theta +i*theta ))
    y = r*np.sin(np.deg2rad(theta +i*theta ))
    plt.scatter(x,y, label = i+1)
    if (theta +i*theta == 360):
        break


ax = plt.gca()
fig = plt.gcf()
fig.set_size_inches(12,12)
ax.set_aspect(1) 
#### the code below only for debug
for i in range(nloop):
    x = r*np.cos(np.deg2rad(theta +i*theta ))
    y = r*np.sin(np.deg2rad(theta +i*theta ))
    
    if (theta +i*theta >= 360+theta):
        ax.text(x,y, f'{i}',ha="right",fontsize=12,color='r')
    else:
        ax.text(x,y ,f'{i}',ha="left",fontsize=12)