Task 3

def interpolate_points(points, stepsize):
    new_points = []
    for i in range(len(points)-1):
        x1, y1 = points[i]
        x2, y2 = points[i+1]
        distance = math.sqrt((x2-x1)**2 + (y2-y1)**2)
        steps = int(distance/stepsize)
        for j in range(steps):
            new_points.append([x1 + j*(x2-x1)/steps, y1 + j*(y2-y1)/steps])
    new_points.append(points[-1])
    return new_points