def helical_line(
    radius: float = 5, pitch: float = 2, height: float = 6, num_points: int = 100
) -> List[Tuple[float, float, float]]:
    h: Helix = Helix(radius=radius, pitch=pitch, height=height)
    f = h.helix()
    points = list(map(f, linspace(start=0, stop=1, num=num_points, dtype=float)))
    # print(f"helical_line: points={points}")
    return points

def helical_triangle(
    radius: float = 1,
    pitch: float = 2,
    height: float = 4,
    num_points: int = 100,
    tri_height: float = 0.2,
    tri_width: float = 0.2,
) -> Tuple[
    List[Tuple[float, float, float]],
    List[Tuple[float, float, float]],
    List[Tuple[float, float, float]],
]:

    # Create three helixes that taper to a point

    # Create the base Helix
    h: Helix = Helix(
        radius=radius, pitch=pitch, height=height, taper_out_rpos=0.1, taper_in_rpos=0.9
    )

    # The Upper points, horz_offset defaults to 0
    fU = h.helix(HelixLocation(vert_offset=tri_height / 2))
    points_fU = list(map(fU, linspace(h.first_t, h.last_t, num=100, dtype=float)))

    # The Lower points, again horz_offset defaults to 0
    fL = h.helix(HelixLocation(vert_offset=-tri_height / 2))
    points_fL = list(map(fL, linspace(h.first_t, h.last_t, num=100, dtype=float)))

    # The Middle point, change vert_offset to 0
    fM = h.helix(HelixLocation(horz_offset=tri_width))
    points_fM = list(map(fM, linspace(h.first_t, h.last_t, num=100, dtype=float)))

    return (points_fU, points_fM, points_fL)