Windmill Python Turtle program using Triangles

The Python code should draw six triangles forming a windmill. The internal angles of each triangle are 30, 60 and 90 degrees. The length of the other two sides are given by the expressions

S * sin (π / 6)
S * cos (π / 6).

Python Program

#Python Turtle program forming a windmill
import turtle
import math

num_triangles = 6

# function to draw the stand vertical line
def drawStand():
 t.right(180)
 t.right(90)
 t.forward(150)
 t.right(90)

# function to draw triangle 
def drawTriangle(S):
 t.forward(S)
 t.right(120)
 t.forward(S*math.sin(math.pi/6))
 t.right(90)
 t.forward(S*math.cos(math.pi/6))
 
# main
S = input("Please enter side length:")
t = turtle.Turtle()
 
drawStand()
for n in range(num_triangles):
 drawTriangle(int(S))
 t.left(150) 
turtle.mainloop()

 

Screenshot

 

 

 

Explanation

This Python program uses the turtle module to draw a windmill-like structure composed of triangular blades connected to a vertical stand.

Importing Required Modules

import turtle
import math

– The turtle module is used for drawing.
– The math module is used for trigonometric calculations.

Defining Constants

num_triangles = 6

– The windmill consists of 6 triangular blades.

Function to Draw the Stand

def drawStand():
 t.right(180)
 t.right(90)
 t.forward(150)
 t.right(90)

– This function draws the vertical stand (pole) of the windmill.

Function to Draw a Triangle

def drawTriangle(S):
 t.forward(S)
 t.right(120)
 t.forward(S * math.sin(math.pi/6))
 t.right(90)
 t.forward(S * math.cos(math.pi/6))

– This function draws a single triangular blade of the windmill using trigonometric calculations.

Main Execution

S = input("Please enter side length:")
t = turtle.Turtle()

– The program takes user input for the triangle side length and creates a turtle object.

Drawing the Windmill

drawStand()
for n in range(num_triangles):
 drawTriangle(int(S))
 t.left(150)

– First, the stand is drawn.
– Then, six triangles are drawn in a circular pattern.
– The turtle rotates 150 degrees after each triangle.

Keeping the Window Open

turtle.mainloop()

– This keeps the Turtle window open to display the windmill.