Code to write spiral of integers in a square

spiral.py

from itertools import cycle

def spiral(n):
    matrix = [[0] * n for _ in range(n)]
    x, y = 0, 0
    x0, y0, xn, yn = 0, 0, n, n
    directions = cycle([
        (1, 0, (0, 0, 1, 0)),
        (0, 1, (0, -1, 0, 0)),
        (-1, 0, (0, 0, 0, -1)),
        (0, -1, (1, 0, 0, 0)),
    ])
    delta_x, delta_y, delta = next(directions)

    for i in range(1, n * n + 1):
        matrix[y][x] = i
        if not (x0 <= (x + delta_x) < xn) or not (y0 <= (y + delta_y) < yn):
            x0 += delta[0]
            xn += delta[1]
            y0 += delta[2]
            yn += delta[3]
            delta_x, delta_y, delta = next(directions)
        x += delta_x
        y += delta_y
    
    for row in matrix:
        print(" ".join([f"{item:03}" for item in row]))

if __name__ == '__main__':
    spiral(10)