def coordination_geometry_symmetry_measures_fallback_random(self,
                                                                coordination_geometry,
                                                                NRANDOM=10,
                                                                points_perfect=None):
        """
        Returns the symmetry measures for a random set of permutations for the coordination geometry
        "coordination_geometry". Fallback implementation for the plane separation algorithms measures
        of each permutation

        :param coordination_geometry: The coordination geometry to be investigated
        :param NRANDOM: Number of random permutations to be tested
        :return: The symmetry measures for the given coordination geometry for each permutation investigated
        """
        permutations_symmetry_measures = [None] * NRANDOM
        permutations = list()
        algos = list()
        perfect2local_maps = list()
        local2perfect_maps = list()
        for iperm in range(NRANDOM):
            perm = np.random.permutation(
                coordination_geometry.coordination_number)
            permutations.append(perm)
            p2l = {}
            l2p = {}
            for i_p, pp in enumerate(perm):
                p2l[i_p] = pp
                l2p[pp] = i_p
            perfect2local_maps.append(p2l)
            local2perfect_maps.append(l2p)

            points_distorted = self.local_geometry.points_wcs_ctwcc(
                permutation=perm)
            sm_info = symmetry_measure(points_distorted=points_distorted,
                                       points_perfect=points_perfect)
            sm_info['translation_vector'] = self.local_geometry.centroid_with_centre

            permutations_symmetry_measures[iperm] = sm_info
            algos.append('APPROXIMATE_FALLBACK')
        return permutations_symmetry_measures, permutations, algos, local2perfect_maps, perfect2local_maps
Returns the symmetry measures for a random set of permutations for the coordination geometry
        "coordination_geometry". Fallback implementation for the plane separation algorithms measures
        of each permutation

        :param coordination_geometry: The coordination geometry to be investigated
        :param NRANDOM: Number of random permutations to be tested
        :return: The symmetry measures for the given coordination geometry for each permutation investigated