KMg14Mn crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form KMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent K(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with eight equivalent Mg(5)KMg10Mn cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(5)KMg10Mn cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(5)KMg10Mn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)KMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mn(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Mn cuboctahedra, faces with two equivalent K(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Mn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent K(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Mn(1) atoms to form distorted MgK2Mg8Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with two equivalent K(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with two equivalent Mn(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(5)KMg10Mn cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent K(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mn(1)K2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)KMg10Mn cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Mg10Mn2 cuboctahedra, corners with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, corners with four equivalent Mn(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)KMg10Mn cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)KMg10Mn cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one K(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Mn(1) atom to form distorted MgKMg10Mn cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with ten equivalent Mg(5)KMg10Mn cuboctahedra, edges with two equivalent K(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(5)KMg10Mn cuboctahedra, edges with two equivalent Mg(7)KMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)K2Mg10 cuboctahedra,  a faceface with one K(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Mn(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(5)KMg10Mn cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Mn cuboctahedra, corners with eight equivalent Mg(5)KMg10Mn cuboctahedra, edges with two equivalent Mg(7)KMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mn(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(5)KMg10Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mn(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent K(1)Mg10Mn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Mn cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one K(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgKMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with six equivalent Mg(7)KMg11 cuboctahedra, corners with eight equivalent Mg(5)KMg10Mn cuboctahedra, edges with two equivalent K(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(5)KMg10Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Mn(1)K2Mg10 cuboctahedra, and faces with four equivalent Mg(5)KMg10Mn cuboctahedra. Mn(1) is bonded to two equivalent K(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form MnK2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Mn(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent K(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with eight equivalent Mg(5)KMg10Mn cuboctahedra, faces with two equivalent K(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(5)KMg10Mn cuboctahedra, and faces with six equivalent Mg(7)KMg11 cuboctahedra.
KMg14Mn crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form KMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent K(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with eight equivalent Mg(5)KMg10Mn cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(5)KMg10Mn cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. Both K(1)-Mg(7) bond lengths are 3.34 Å. All K(1)-Mg(3) bond lengths are 3.24 Å. All K(1)-Mg(5) bond lengths are 3.30 Å. Both K(1)-Mn(1) bond lengths are 3.25 Å. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(5)KMg10Mn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)KMg11 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.25 Å. Both Mg(1)-Mg(6) bond lengths are 3.26 Å. There are two shorter (3.23 Å) and two longer (3.25 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.13 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mn(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Mn cuboctahedra, faces with two equivalent K(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Mn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.13 Å. There are two shorter (3.23 Å) and two longer (3.25 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.20 Å. In the third Mg site, Mg(3) is bonded to two equivalent K(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Mn(1) atoms to form distorted MgK2Mg8Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with two equivalent K(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with two equivalent Mn(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(5)KMg10Mn cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent K(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mn(1)K2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)KMg10Mn cuboctahedra. There is one shorter (3.19 Å) and one longer (3.31 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.23 Å. Both Mg(3)-Mg(6) bond lengths are 3.17 Å. Both Mg(3)-Mg(7) bond lengths are 3.30 Å. There is one shorter (3.16 Å) and one longer (3.32 Å) Mg(3)-Mn(1) bond length. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent K(1)Mg10Mn2 cuboctahedra, corners with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, corners with four equivalent Mn(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)KMg10Mn cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)KMg10Mn cuboctahedra. There is one shorter (3.23 Å) and one longer (3.27 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.15 Å. Both Mg(4)-Mg(6) bond lengths are 3.29 Å. Both Mg(4)-Mg(7) bond lengths are 3.09 Å. In the fifth Mg site, Mg(5) is bonded to one K(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Mn(1) atom to form distorted MgKMg10Mn cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with ten equivalent Mg(5)KMg10Mn cuboctahedra, edges with two equivalent K(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with two equivalent Mg(5)KMg10Mn cuboctahedra, edges with two equivalent Mg(7)KMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)K2Mg10 cuboctahedra,  a faceface with one K(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Mn(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(5)KMg10Mn cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.10 Å) and one longer (3.39 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.19 Å) and one longer (3.30 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.15 Å) and one longer (3.33 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Mn(1) bond length is 3.22 Å. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Mn cuboctahedra, corners with eight equivalent Mg(5)KMg10Mn cuboctahedra, edges with two equivalent Mg(7)KMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mn(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(5)KMg10Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mn(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent K(1)Mg10Mn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Mn cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.26 Å. The Mg(6)-Mn(1) bond length is 3.13 Å. In the seventh Mg site, Mg(7) is bonded to one K(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgKMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Mn cuboctahedra, corners with six equivalent Mg(7)KMg11 cuboctahedra, corners with eight equivalent Mg(5)KMg10Mn cuboctahedra, edges with two equivalent K(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(5)KMg10Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Mn(1)K2Mg10 cuboctahedra, and faces with four equivalent Mg(5)KMg10Mn cuboctahedra. Mn(1) is bonded to two equivalent K(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form MnK2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Mn(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent K(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with eight equivalent Mg(5)KMg10Mn cuboctahedra, faces with two equivalent K(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)K2Mg8Mn2 cuboctahedra, faces with four equivalent Mg(5)KMg10Mn cuboctahedra, and faces with six equivalent Mg(7)KMg11 cuboctahedra.