chasing_vector.py

import matplotlib.pyplot as plt


def draw_vectors(plt, start_point, vectors):
    points = [start_point]
    new_vectors = []

    current_point = start_point

    for vector in vectors:
        next_point = (current_point[0] + vector[0], current_point[1] + vector[1])
        points.append(next_point)
        current_point = next_point
    plot_lines(plt, points)

def gen_new_vector(fraction, vectors):
    new_vectors=[]
    for i, vector in enumerate(vectors):
        if i == 0:
            prev_vector = vector
            continue
        new_vector = (prev_vector[0] + fraction * vector[0], prev_vector[1] + fraction * vector[1])  
        new_vectors.append(new_vector)
        prev_vector=vector
        
    vector=vectors[0]
    new_vector = (prev_vector[0] + fraction * vector[0], prev_vector[1] + fraction * vector[1])  
    new_vectors.append(new_vector)
    print(new_vectors)
    return new_vectors

def plot_lines(plt, points):
    x_coords, y_coords = zip(*points)
    plt.plot(x_coords, y_coords, marker='o')

# Initial conditions
start_point = (0, 0)
vectors = [(1, 0), (0, 1), (-1, 0), (0, -1)]
fraction = 0.1
cycles = 200  # Number of cycles to apply

# Apply the vectors and generate the path
plt.figure(figsize=(6, 6))

for cycle in range(cycles):
    draw_vectors(plt, start_point, vectors)
    vectors=gen_new_vector(fraction, vectors)

plt.title('Path Generated by Successive Vector Application')
plt.xlabel('X-axis')
plt.ylabel('Y-axis')
plt.grid(True)
plt.show()


# Plot the resulting path