def METHOD_NAME(self):
    """Initialize the basic tree properties without building"""
    epsilon = 1e-12
    R_earth = 6371000
    self.inter_arc_dist = self.inter_dist_horiz/R_earth
    self.inter_degree_dist = 180*self.inter_arc_dist/np.pi
    n_lines_depth = int(ceil(
        self.max_depth/self.inter_dist_vert + epsilon))
    n_lines_lat = int(ceil(np.pi/self.inter_arc_dist+epsilon))
    n_lines_lon = int(ceil(2*np.pi/self.inter_arc_dist+epsilon))
    n_bits_lat = ceil(np.log(n_lines_lat)/np.log(2))
    n_bits_lon = ceil(np.log(n_lines_lon)/np.log(2))
    n_bits_depth = ceil(np.log(n_lines_depth)/np.log(2))
    self._bits = np.array([n_bits_depth, n_bits_lat, n_bits_lon])