
 Crystallographic Topology  Lattice Complexes 
  Lattice complexes are configurations of points that recur at least once but usually repeatedly throughout the family of all space groups. 
  Those equivalent to Bravais lattices are P, C, I, R, and F. Assigning all Wyckoff positions of all space groups to lattice complexes produces a total of 402 lattice complexes which are tabulated in Fischer, Burzlaff, Hellner, and Donnay (1973) and Fischer and Koch (1995). 
  For the bodycentered lattice complex I, this correlation does not hold since the bcc peaks, passes, pales, and pits are on the center, 8 hexagonal faces, 24 vertices, and 6 square faces, respectively, rather than on the 14 faces, 36 edges, and 24 vertices of the bcc truncated octahedron Dirichlet polyhedron. 
 www.ornl.gov /sci/ortep/topology/lattice.html (2532 words) 
