Logo Turtle picture of pi. 1 million pi digits at https://www.angio.net/pi/digits.html e at https://apod.nasa.gov/htmltest/gifcity/e.1mil sqrt(2) https://apod.nasa.gov/htmltest/rjn_dig.html

PiTurtle.py

import turtle
import random
random.seed(42)
i=0
#file = open("emil.txt", "r")
#file = open("pi1000000.txt", "r")
file = open("sqrt2.txt", "r")
text=file.read() 
pi = list(text)
pi = list(map(int, pi))

screen = turtle.Turtle()
turtle.clearscreen()

wn = turtle.Screen()        # creates a graphics window
wn.tracer(1000000, 25)
wn.setup (width=7000, height=4500, startx=None, starty=None)
turtle.penup()
turtle.hideturtle()
#turtle.setpos(400,240)#pi
#turtle.setpos(650,330)#e
turtle.setpos(500,-170)#sqrt2
#turtle.setpos(0,330) random
turtle.speed(0)
turtle.down()
turtle.pencolor("#ff0000")
angle=0

while i < 1000000:
    #print(pi[i])
    #angle= (int(float(pi[i])))*36 #quicker to turn string to int at start
    #ran= random.randint(0, 9)
    #angle= ran*36
    angle= pi[i]*36
    #print(angle)
    turtle.right(angle)
    turtle.forward(1)
    j=360-angle
    turtle.right(j)
    if i == 0:
        turtle.pencolor("#a6cee3")
    if i ==100000:
        turtle.pencolor("#1f78b4")
    if i == 200000:
        turtle.pencolor("#b2df8a")
    if i == 300000:
        turtle.pencolor("#33a02c")        
    if i == 400000:
        turtle.pencolor("#fb9a99")  
    if i == 500000:
        turtle.pencolor("#e31a1c")  
    if i == 600000:
        turtle.pencolor("#fdbf6f")  
    if i == 700000:
        turtle.pencolor("#ff7f00")  
    if i == 800000:
        turtle.pencolor("#cab2d6")
    if i == 900000:
        turtle.pencolor("#551A8B")       
        

    i=i+1    



ts = turtle.getscreen()
#ts.getcanvas().postscript(file="randompiMC.eps")
#ts.getcanvas().postscript(file="eMC600k.eps")
ts.getcanvas().postscript(file="sqrt2MC1mil.eps")
#ts.getcanvas().postscript(file="pi1mil.eps")
turtle.bye()

@cavedave hi Dave, thanks very much for your code and blog post!

I worked this weekend to clarify the code: plot/plot_digitangle.py which uses a heatmap color scheme for the angles. It can accept any arbitrary text file, filtering only the digits. The use of generator functions, instead of lists, should ease memory usage for very long iterations.

Here is a plot of the first 10,000 digits of pi using pi-digits.txt: