Question

with turtle in python: Fractals are fun at every level. (Draw the Koch snowflake) The Koch snowflake is one of the earliest fractals to have been described. The snowflake has a finite area bounded by an infinitely long line. It can be constructed as follows, starting with an equilateral triangle and doing the following for each side: 1. divide the line segment into three segments of equal length. 2. draw an equilateral triangle pointing outward that has the middle segment from step 1 as its base. remove the line segment that is the base of the triangle from step 2. The recipe for a level n Koch Snowflake: {this is a comment} {draw a triangle with fancy sides} do 3 times: do f(n) turn left 120 degrees f(n): {draw a fancy side} if n = 0: drive forward 1 unit else: {draw _/\_ (from right to left}} do f(n-1) turn right 60 degrees do f(n-1) turn left 120 degrees do f(n-1) turn right 60 degrees do f(n-1)

Answer 1

Hii, I have done this exact same question using a slightly bit different approach before. Using a recursive method to draw a fractal line of given number of levels, and repeat it 3 times with varying angle. Here is the completed code for this problem. Comments are included, go through it, learn how things work and let me know if you have any doubts or if you need anything to change. If you are satisfied with the solution, please rate the answer. Thanks

#code

import turtle

#recursive method to draw a fractal line with given distance, angle and levels
def drawFractalLine(distance,angle,level):
    #checking if level is 0 (base condition)
    if level==0:
        #turning left angle degrees
        turtle.left(angle)
        #moving turtle in distance
        turtle.forward(distance)
        #turning right to get back to original direction
        turtle.right(angle)
        return #end of recursive calls
    #drawing a line 1/3 rd of the total distance in same direction, with one less level
    drawFractalLine(distance/3,angle,level-1)
    # drawing a line 1/3 rd of the total distance in direction +60 degrees,
    # with one less level
    drawFractalLine(distance / 3, angle + 60, level - 1)
    # drawing a line 1/3 rd of the total distance in direction -60 degrees,
    # with one less level
    drawFractalLine(distance / 3, angle - 60, level - 1)
    # drawing a line 1/3 rd of the total distance in same direction, with one less level
    drawFractalLine(distance / 3, angle, level - 1)


#method to draw a koch snowflake of given width and levels
def drawKochSnowflake(width,levels):
    #drawing first fractal line
    drawFractalLine(width, 0, levels)
    # drawing second fractal line
    drawFractalLine(width, -120, levels)
    # drawing third fractal line
    drawFractalLine(width, 120, levels)


def main():

    #maximum speed for drawing
    turtle.speed(0)
    #drawing a snowflake with 200 width and levels = 3
    drawKochSnowflake(200,3)
    #hiding turtle after drawing
    turtle.ht()
    #finishing drawing
    turtle.done()

main()

#output