The Koch snowflake is a fractal shape. At level 0, the shape is an equilateral triangle. At level 1, each line segment is split into four equal parts, producing an equilateral bump in the middle of each segment. Figure 7-15 shows these shapes at levels 0, 1, and 2.Figure 7-15 First three levels of a Koch snowflakeAt the top level, the script uses a function drawFractalLine to draw three fractal lines. Each line is specified by a given distance, direction (angle), and level:The initial angles are 0, -120, and 120 degrees.The initial distance can be any size, such as 200 pixels.If the level is 0, then the turtle moves the given distance in the given direction. Otherwise, the function draws four fractal lines with ⅓ of the given distance, angles that produce the given effect, and the given level minus 1.The function drawFractalLine is recursive.Write a script that draws the Koch snowflake.Define a function main that will draw a Koch snowflake with the following parameters when the program is run:Width = 200Height = 200Size = 150Level = 4 Python Turtie GraphicsPython Turtle GraphicsPython Turtle GraphicsFigure 7-15 First three levels of a Koch snowflake

Program:- import turtle import math # method to draw the koch turle by recursively calling itself…

Answered: The Koch snowflake is a fractal shape.…

Programming Logic & Design Comprehensive

9th Edition

ISBN:9781337669405

Author:FARRELL

Publisher:FARRELL

Chapter12: Event-driven Gui Programming, Multithreading, And Animation

Section: Chapter Questions

Problem 20RQ

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The Koch snowflake is a fractal shape. At level 0, the shape is an equilateral triangle. At level 1, each line segment is split into four equal parts, producing an equilateral bump in the middle of each segment. Figure 7-15 shows these shapes at levels 0, 1, and 2.

Figure 7-15 First three levels of a Koch snowflake

At the top level, the script uses a function drawFractalLine to draw three fractal lines. Each line is specified by a given distance, direction (angle), and level:

The initial angles are 0, -120, and 120 degrees.
The initial distance can be any size, such as 200 pixels.
If the level is 0, then the turtle moves the given distance in the given direction. Otherwise, the function draws four fractal lines with ⅓ of the given distance, angles that produce the given effect, and the given level minus 1.

The function drawFractalLine is recursive.

Write a script that draws the Koch snowflake.

Define a function main that will draw a Koch snowflake with the following parameters when the program is run:

Width = 200
Height = 200
Size = 150
Level = 4

Python Turtie Graphics
Python Turtle Graphics
Python Turtle Graphics
Figure 7-15 First three levels of a Koch snowflake

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