How to Draw a Recursive Circle of Octagons using Turtle Graphics in Python
This is a Python program that uses the turtle graphics module to draw a recursive circle of octagons. The program creates a window with the title "Nested Octagons", sets up the size and coordinates of the screen, and defines several functions to draw octagons and circles of octagons. The main function, draw_octagon_circle_recursive, recursively draws circles of octagons at decreasing radii until the radius is less than 10.
Here is a step-by-step explanation of how the program works:
The program imports the turtle, math, colorsys, and random modules.
The program creates a Screen object called screen and sets the title of the window to "Nested Octagons".
The program sets up the size and coordinates of the screen using the setup and setworldcoordinates methods.
The program sets the speed of the turtle to 0 (fastest) and hides the turtle using the speed and hideturtle methods.
The program enables animation and sets the delay to 0 millisecond using the tracer method.
The program defines a function called draw_octagon that takes four arguments: x, y, length, direction, and color. The function uses the turtle to draw an octagon at the given position, size, direction, and color.
The program defines a function called draw_octagon_circle that takes three arguments: radius, direction, and n. The function computes the length of the sides of the octagons based on the radius and the number of octagons, and then draws a circle of octagons at the given radius, direction, and number of octagons.
The program defines a recursive function called draw_octagon_circle_recursive that takes three arguments: radius, direction, and n. The function first checks if the radius is less than 10, and if so, returns. Otherwise, the function calls draw_octagon_circle to draw a circle of octagons at the current level, and then computes the radius of the next level and calls itself recursively with the new radius, direction, and number of octagons.
The program calls draw_octagon_circle_recursive with a radius of 600, a direction of 0, and 12 octagons to draw the recursive circle of octagons.
The program updates the screen to show the final result using the update method.
The program waits for user input to close the window using the done method.
Overall, this program uses turtle graphics and recursion to create a visually appealing pattern of nested octagons.
.py link:
https://mega.nz/file/r6JlQKaC#53AfFnd...