Sierpinski Triangle Chaos Game: A Python Tutorial
January's #AdventureInSTEM is Sierpinski Triangles! Learn how to create this fractal with a python turtle.
To learn how to cut a paper Sierpinski Triangle check out this video: • Sierpinski Triangles! an Adventure in STEM
For the whole Adventure in STEM series visit: https://lasteamlab.com/curriculum/adv...
For this experiment you will need:
a computer
access to the internet
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Here's the code:
import random
c="" # corner
p="" # point
def turtle_setup(canv_width, canv_height):
""" Set up the canvas and a turtle for creating dots. Return a turtle
object in hidden state with its pen up. The canvas has size canv_width
by canv_height, with a coordinate system where (0,0) is in the bottom
left corner, and automatic re-drawing of the canvas is disabled so that
turtle.update() must be called to update the drawing.
"""
t = turtle.Turtle()
screen = t.getscreen()
screen.setup(canv_width, canv_height)
screen.setworldcoordinates(0, 0, canv_width, canv_height)
t.hideturtle()
t.speed(0) #0 is the fastest speed, 10 is fast, 6 is normal, slow is 3, and 1 is slowest
t.color("black")#can change the color of the dots here
#uncomment the below line and the last line if you do NOT want to watch the triangle being drawn
#screen.tracer(0, 0)
return t
def midpoint(a, b):
""" Return the midpoint between points a = (ax, ay) and b = (bx, by) """
ax, ay = a
bx, by = b
mx = (ax + bx) / 2
my = (ay + by) / 2
return mx, my
def randopoint():
"""generates a random point given the window size specified in the system arguments"""
xcoord= random.randint(0, canv_width)
ycoord= random.randint(0, canv_height)
randopoint = (xcoord, ycoord)
p=randopoint # Let p be a random point in the window
return p
def randocorner():
"""produces the coordinates of one of the three corners
that has been determined by the window size from the system arguments"""
randocorner=random.choice(corners)
c = randocorner
return c
if _name_ == "__main__":
import sys
import turtle
"""uncomment the following 2 lines if you want to set canvas size from command line arguments"""
#canv_width = int(sys.argv[1])
#canv_height = int(sys.argv[2])
""" if using command line arguments (above) comment out the following two lines,
otherwise you can use them to set the canvas size """
canv_width = 500
canv_height = 500
t = turtle_setup(400, 400)
turtle_setup(canv_width, canv_height)
#establishes corners
middlex= (canv_width/2)
corner1= (middlex, canv_height)
corner2= (0,0)
corner3= (canv_width, 0)
corners= [corner1, corner2, corner3]
p= randopoint() #random starting point in the window
c= randocorner() #random corner of the triangle
m= midpoint(p,c) #midpoint between point p and a random corner of the triangle
t.up()
#use the below line to set the number of iterations, higher number = more dots and longer running time
for i in range (100000):
c=randocorner()
m=midpoint(p,c)
t.goto(m)
if i (greater than - replace this with the symbol that youtube won't allow) 5:
t.pendown()
t.dot(2) #can change the size of the dots here
t.penup()
p=m
#turtle.update()
On this page of the site you can watch the video online Sierpinski Triangle Chaos Game: A Python Tutorial with a duration of hours minute second in good quality, which was uploaded by the user Los Alamos STEAM Lab 26 January 2021, share the link with friends and acquaintances, this video has already been watched 1,982 times on youtube and it was liked by 15 viewers. Enjoy your viewing!
