generating-shapes-from-numbers.py

'''
In this script I tried to implement the algorithm described in this tweet 
https://twitter.com/matthen2/status/1433081884402233347?lang=de
The shapes generated by this algorithm are fascinating.
'''

from decimal import Decimal, getcontext
import numpy as np
import math
from turtle import Turtle, speed, tracer, update, delay, ht, done

decimals = 10001
getcontext().prec = decimals 
number = Decimal(1).exp()
print(number)

digitsArray= []
for i in range(2, decimals+1):
    digitsArray.append(int((str(number))[i]))
    
anglesArray = []
for i in range(0, 10):
    anglesArray.append(np.multiply((np.divide(i,10)),360))

t = Turtle()
tracer(0, 0)
delay(0)
ht()
speed(speed=0)
for i in range(0, len(digitsArray)):
    if digitsArray[i] == 0:
        angle = anglesArray[0]
    elif digitsArray[i] == 1:
        angle = anglesArray[1]
    elif digitsArray[i] == 2:
        angle = anglesArray[2]
    elif digitsArray[i] == 3:
        angle = anglesArray[3]
    elif digitsArray[i] == 4:
        angle = anglesArray[4]
    elif digitsArray[i] == 5:
        angle = anglesArray[5]
    elif digitsArray[i] == 6:
        angle = anglesArray[6]
    elif digitsArray[i] == 7:
        angle = anglesArray[7]
    elif digitsArray[i] == 8:
        angle = anglesArray[8]
    else:
        angle = anglesArray[9]       
    steps = 3
    t.right(angle)
    t.fd(steps)
update()
t.screen.mainloop()
done()