平行多面體

thumb|upright=1.2|Five types of parallelohedron. Top: cube, [[hexagonal prism, rhombic dodecahedron. Bottom: elongated dodecahedron, truncated octahedron. The colors partition the edges into zones; for each zone, the faces containing edges of that color form a belt. Choosing one edge of each color produces a system of generators for each polyhedron.]] In geometry, a parallelohedron or Fedorov polyhedron is a convex polyhedron that can be translated without rotations to fill Euclidean space, producing a honeycomb in which all copies of the polyhedron meet face-to-face. Evgraf Fedorov identified