#vertices of G51

[[0, 0, 12, 0], [-6, 0, -6, 0], [6, 0, -6, 0], [0, 0, -24, 0], [0, 0, -6, -6], [0, 0, -6, 6], [-18, 0, -6, 0], [-12, 0, -24, 0], [-12, 0, 12, 0], [-12, 0, -6, -6], [-12, 0, -6, 6], [-6, 0, 30, 0], [-6, 0, 12, -6], [-6, 0, 12, 6], [18, 0, -6, 0], [12, 0, -24, 0], [12, 0, 12, 0], [12, 0, -6, -6], [12, 0, -6, 6], [6, 0, 30, 0], [6, 0, 12, -6], [6, 0, 12, 6], [-9, -9, 3, -3], [-9, -9, -15, 3], [-9, 9, 3, 3], [-9, 9, -15, -3], [-3, -9, 3, 3], [-3, -9, 21, -3], [-3, -9, -15, -3], [-3, 9, 3, -3], [-3, 9, 21, 3], [-3, 9, -15, 3], [9, -9, 3, 3], [9, -9, -15, -3], [9, 9, 3, -3], [9, 9, -15, 3], [3, -9, 3, -3], [3, -9, 21, 3], [3, -9, -15, 3], [3, 9, 3, 3], [3, 9, 21, -3], [3, 9, -15, -3], [0, 0, 30, 6], [-15, -9, -15, -3], [15, 9, -15, -3], [-6, 0, -24, 6], [6, 0, -24, 6], [-15, 9, 3, -3], [-9, 9, 21, -3], [9, -9, 21, -3], [15, -9, 3, -3]]