Shape.py

"""
File: Shape.py
Authors: 
    - Amey Thakur (https://github.com/Amey-Thakur)
    - Mega Satish (https://github.com/msatmod)
Repository: https://github.com/Amey-Thakur/PYTHON-SHORTS
Release Date: January 9, 2022
License: MIT License

Description:
    This module implements a geometric spiral generator utilizing turtle graphics. 
    It demonstrates the recursive application of rotational symmetry and 
    iterative coordinate transformations to produce complex polygonal spirals 
    within Euclidean space.

Complexity Analysis:
    - Time Complexity: O(n), where n is the number of iterations (segments drawn).
    - Space Complexity: O(1) auxiliary space beyond the graphics buffer.

Logic:
    1. Initialize the graphics environment with a high-contrast background.
    2. Define a transformation set (colors, line widths) for iterative variation.
    3. Execute a loop of n iterations, where each step:
       a. Updates the stroke color based on modular indexing.
       b. Increments the pen size linearly to create structural depth.
       c. Translates the turtle forward by an increasing distance i.
       d. Rotates the turtle by a fixed angle (59 degrees) to create a spiral drift.
    4. Print the final geometric parameters to the terminal for verification.
"""

import turtle
from typing import List


class GeometricSpiralService:
    """
    A service class for generating geometric spirals via turtle graphics.
    """

    def __init__(self, iterations: int = 200, angle: int = 59):
        self.iterations = iterations
        self.angle = angle
        self.colors: List[str] = ["purple", "red", "orange", "blue", "green"]

    def draw_sequence(self) -> None:
        """
        Executes the iterative drawing sequence.
        """
        # Graphics Setup
        screen = turtle.Screen()
        screen.bgcolor("black")
        t = turtle.Turtle()
        t.speed(0)  # Maximum rendering speed

        print(f"--- Geometric Spiral Parameters ---")
        print(f"Total Iterations: {self.iterations}")
        print(f"Rotation Angle:   {self.angle} degrees")
        print(f"Palette Size:    {len(self.colors)} indices")
        print("\nInitiating Graphics Engine...")

        for i in range(self.iterations):
            # Modular color selection for spectrum cycling
            t.color(self.colors[i % len(self.colors)])
            
            # Linear pen transformation
            t.pensize(i / 10 + 1)
            
            # Iterative translation and rotation
            t.forward(i)
            t.left(self.angle)

        print("Sequence Completion: Resource Deallocation Pending...")
        # screen.exitonclick() # Commented for automated logging/headless runs


def main():
    """
    Demonstrates the scholarly Geometric Spiral implementation.
    """
    service = GeometricSpiralService()
    
    try:
        service.draw_sequence()
    except turtle.Terminator:
        print("Graphics Engine Terminated: Process Exit.")
    except Exception as e:
        print(f"Execution Failure: {e}")


if __name__ == "__main__":
    main()