Draw a Golden Dragon Curve in Python Using Turtle

Python Program to Draw a Golden Dragon Curve Using Turtle

# Python Program to Draw a golden dragon curve using turtle

# import turtle and math
import turtle
import math

screen = turtle.Screen()
screen.setup(1000,1000)
screen.setworldcoordinates(-1000,-1000,1000,1000)
turtle.speed(0)
turtle.hideturtle()
turtle.pencolor('gold')
screen.bgcolor('royal blue')
screen.tracer(0,0)

# calculate golden ratio
golden_ratio = (1+5**0.5)/2
r1 = r = (1/golden_ratio)**(1/golden_ratio)
r2 = r1**2
angle1 = math.acos((1+r**2-r**4)/(2*r))
angle2 = math.acos((1+r**4-r**2)/(2*r**2))
print(r1,r2,math.degrees(angle1),math.degrees(angle2))

def golden_dragon(x1,y1,x2,y2,turn,n):
    dist = ((x2-x1)**2 + (y2-y1)**2)**0.5
    if dist<1:
        turtle.goto(x2,y2)
        return
    angle = math.atan2(y2-y1,x2-x1)
    if turn:
        px = x1+dist*r1*math.cos(angle+angle1)
        py = y1+dist*r1*math.sin(angle+angle1)
    else:
        px = x1+dist*r2*math.cos(angle-angle2)
        py = y1+dist*r2*math.sin(angle-angle2)
    golden_dragon(x1,y1,px,py,True,n-1)
    golden_dragon(px,py,x2,y2,False,n-1)

turtle.up()
turtle.goto(-500,-200)
turtle.down()
golden_dragon(-500,-200,700,-200,True,3)
screen.update()

Output:

About The Author

Shailendra Bramhvanshi

Shailendra Bramhvanshi, Founder at Techaroha Solutions Private Limited and CEO at Newtum Solutions Private Limited. BlockChain Experts with 12 years of IT Experience in of all aspects of running Organization and Project Management. I have created different coins to help the business to bring more trust. Recently deployed a stable coin in India TrueINR and working on few cryptocurrency exchanges. My Team is being rated as a top 10 blockchain service provider in India by Silicon India

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