def get_plotting_vtx(vertex_lst):
    leftmost, rightmost, top, bottom = Point_2(), Point_2(), Point_2(
    ), Point_2()
    CGAL_Convex_hull_2.ch_n_point(vertex_lst, top)  # maximal y coordinate.
    CGAL_Convex_hull_2.ch_e_point(vertex_lst,
                                  rightmost)  # maximal x coordinate.
    CGAL_Convex_hull_2.ch_s_point(vertex_lst, bottom)  # minimal y coordinates
    CGAL_Convex_hull_2.ch_w_point(vertex_lst, leftmost)  # minimal x coordinate

    lt, rt = leftmost.x(), rightmost.x()
    tp, btm = top.y(), bottom.y()

    draw_pt_list = []
    for pair in product([lt, rt], [tp, btm]):
        draw_pt_list.append(pair)

    # left_btm_x, left_btm_y= draw_pt_list[1]

    delta_x = (lt + rt) / 2 - 0
    delta_y = (tp + btm) / 2 - 0

    ch_height = tp - btm
    ch_width = rt - lt

    return ch_height, ch_width, delta_x, delta_y