# tk_Grid_of_Triangles.py

# tk_Grid_of_Triangles.py

import tkinter as tk
import math

ww = 500
hh = 500

def rotate_polygon(polygon, angle_degrees):
    angle_radians = math.radians(angle_degrees)
    coords = canvas.coords(polygon)

    # Find the centroid of the polygon
    x_coords = coords[::2]  # Extract x-coordinates
    y_coords = coords[1::2]  # Extract y-coordinates

    # Calculate centroid
    centroid_x = sum(x_coords) / len(x_coords)
    centroid_y = sum(y_coords) / len(y_coords)

    # Translate centroid to the origin
    translated_coords = [(x - centroid_x, y - centroid_y) for x, y in zip(x_coords, y_coords)]

    # Rotate each point around the origin
    rotated_coords = []
    for x, y in translated_coords:
        new_x = x * math.cos(angle_radians) - y * math.sin(angle_radians)
        new_y = x * math.sin(angle_radians) + y * math.cos(angle_radians)
        rotated_coords.extend([new_x, new_y])

    # Translate back to original position by adding centroid coordinates
    final_coords = [coord + centroid_x if i % 2 == 0 else coord + centroid_y for i, coord in enumerate(rotated_coords)]

    # Update the polygon coordinates on the canvas
    canvas.coords(polygon, *final_coords)

def draw_triangles(size, rows, cols):
    height = size * math.sqrt(3) / 2
    row = 0
    while row * height < ww:
        half_offset_x = -2 if row % 2 else size // 2 - 2
        col = -1
        while col * size < hh + size * 2:
            x0 = (col - 1) * size - 2 - half_offset_x
            y0 = row * height
            x1 = x0 + size
            y1 = y0 + height
            triangle = canvas.create_polygon(x0, y0, x1, y0, x1 - size / 2, y1, outline='black', fill='yellow')
            triangle = canvas.create_polygon(x0, y0, x1, y0, x1 - size / 2, y1, outline='black', fill='white')
            rotate_polygon(triangle, 180)
            canvas.move(triangle, size // 2, size * 0.3)
            col += 1
        row += 1

root = tk.Tk()
root.title("Grid of Triangles")

canvas = tk.Canvas(root, width=ww, height=hh, bg='black')
canvas.pack()

triangle_size = 50
rows = 10
cols = 10

draw_triangles(triangle_size, rows, cols)

root.mainloop()