chasing_vectorv2.py

import matplotlib.pyplot as plt

def draw_vectors(plt, vectors):
    for i, vector in enumerate(vectors):
        if (i==0):
            current_point=vector
            points = [current_point]
            continue
        next_point = (current_point[0] + vector[0], current_point[1] + vector[1])
        points.append(next_point)
        current_point = next_point
    plot_lines(plt, points)
    return points

def gen_new_subset(fraction, points):
    for i, vector in enumerate(points):
        if i == 0:
            prev_vector = vector
            new_points=[prev_vector]
            continue
        new_vector = (prev_vector[0] + fraction * (vector[0] - prev_vector[0]), prev_vector[1] + fraction * (vector[1] - prev_vector[1]))  
        new_points.append(new_vector)
        prev_vector=new_vector
        
    print(new_points)
    return new_points

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

# Initial conditions
vectors = [(0, 0), (0, 1), (1, 1), (1, 0)]
fraction = 0.1
cycles = 10  # Number of cycles to apply

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

for cycle in range(cycles):
    #prev_polygon=draw_vectors(plt, vectors)
    plot_lines(plt, vectors)
    vectors=gen_new_subset(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