Polyhedral types

• single atom 1-vertex
• all 2-vertex
• collinear atoms 2-vertex
• non-collinear atoms 2-vertex
• all 3-vertex
• coplanar triangle 3-vertex
• non-coplanar triangle 3-vertex
• all 4-vertex
• tetrahedron 4-vertex
• coplanar square 4-vertex
• non-coplanar square 4-vertex
• tetrahedron central atom outside 4-vertex
• all 5-vertex
• square pyramid 5-vertex
• coplanar pentagon 5-vertex
• trigonal bipyramid 5-vertex
• square pyramid central atom outside or base plane 5-vertex
• all 6-vertex
• octahedron 6-vertex
• trigonal prism 6-vertex
• distorted prism 6-vertex
• coplanar hexagon 6-vertex
• pentagonal pyramid 6-vertex
• non-coplanar hexagon 6-vertex
• all 7-vertex
• bicapped hexagon 7-vertex
• hexagonal pyramid 7-vertex
• pentagonal bipyramid 7-vertex
• monocapped octahedron 7-vertex
• monocapped trigonal prism 7-vertex
• top-monocapped trigonal prism 7-vertex
• all 8-vertex
• square antiprism 8-vertex
• square prism cube 8-vertex
• hexagonal bipyramid 8-vertex
• double anti-trigonal prism 8-vertex
• side-bicapped trigonal prism 8-vertex
• distorted square anti-prism-a 8-vertex
• distorted square anti-prism-b 8-vertex
• all 9-vertex
• monocapped square prism 9-vertex
• tricapped trigonal prism 9-vertex
• bicapped hexagonal pyramid 9-vertex
• truncated hexagonal pyramid 9-vertex
• monocapped double anti-trigonal prism 9-vertex
• all 10-vertex
• pentagonal prism 10-vertex
• octagonal bipyramid 10-vertex
• bicapped square prism 10-vertex
• 4-capped trigonal prism 10-vertex
• bicapped square antiprism 10-vertex
• polar bicapped square prism 10-vertex
• truncated hexagonal bipyramid 10-vertex
• triangle-pentagon faced polyhedron 10-vertex
• distorted equatorial 4-capped trigonal prism 10-vertex
• all 11-vertex
• pseudo Frank-Kasper 11-vertex
• 5-capped trigonal prism 11-vertex
• monotruncated icosahedron 11-vertex
• tricapped cube same plane 11-vertex
• tricapped cube different plane 11-vertex
• all 12-vertex
• icosahedron 12-vertex
• cuboctahedron 12-vertex
• hexagonal prism 12-vertex
• anticuboctahedron 12-vertex
• double-bicapped cube 12-vertex
• bicapped pentagonal prism 12-vertex
• triangle-hexagon faced polyhedron 12-vertex
• all 13-vertex
• pseudo Frank-Kasper 13-vertex
• tricapped pentagonal prism 13-vertex
• monocapped cuboctahedron-a 13-vertex
• monocapped cuboctahedron-b 13-vertex
• all 14-vertex
• 14-vertex Frank-Kasper
• rhombic dodecahedron 14-vertex
• bicapped hexagonal prism 14-vertex
• 6-capped hexagonal bipyramid 14-vertex
• distorted rhombic dodecahedron 14-vertex
• double-bicapped hexagonal prism 14-vertex
• all 15-vertex
• 15-vertex Frank-Kasper
• equatorial 5-capped pentagonal-prism 15-vertex
• polar equatorial tricapped pentagonal-prism 15-vertex
• all 16-vertex
• 16-vertex Frank-Kasper
• octagonal prism 16-vertex
• monotruncated 16-vertex Frank-Kasper
• defective 8-equatorial capped pentagonal prism 16-vertex
• 7-capped pentagonal prism 17-vertex
• all 18-vertex
• pseudo Frank-Kasper 18-vertex
• 6-capped hexagonal prism 18-vertex
• double-bicapped heptagonal prism 18-vertex
• 8-equatorial capped pentagonal prism 18-vertex
• all 19-vertex
• pseudo Frank-Kasper 19-vertex
• distorted pseudo Frank-Kasper 19-vertex
• all 20-vertex
• pseudo Frank-Kasper 20-vertex
• 20-pentagonal faced polyhedron 20-vertex
• pseudo Frank-Kasper 21-vertex
• polar 8-equatorial capped hexagonal prism 22-vertex
• pseudo Frank-Kasper 23-vertex
• all 24-vertex
• pseudo Frank-Kasper 24-vertex
• truncated cube dice 24-vertex
• triangle-square faced polyhedron 24-vertex
• 6-square 8-hexagonal faced polyhedron 24-vertex
• triangle-square-hexagon faced polyhedron 24-vertex
• pseudo Frank-Kasper 26-vertex
• pseudo Frank-Kasper 28-vertex
• 32-vertex