Final answer:
The Great Pyramid at Giza would best fit into the tetragonal crystal system due to its axis orientations and geometric shape.
Step-by-step explanation:
The Great Pyramid at Giza, if assigned to a crystal system, would best be represented by the tetragonal system. This system is characterized by a three-dimensional geometric arrangement where all axes are of different lengths and only two of them are perpendicular to each other, similar to the slanting design of the pyramid.
While the pyramid itself does not have a lattice structure, for the sake of relating it to crystallography, its shape parallels the axes orientations found in the tetragonal system. This crystal system is one of the seven unique crystal systems, which include cubic, hexagonal, tetragonal, orthorhombic, monoclinic, triclinic, and rhombohedral.
The concept of lattice systems is essential when discussing crystals, as it pertains to the organization of points in space from which the structure extends infinitely to fill three-dimensional space. Each crystal system has distinctive characteristics regarding the angles between faces and the lengths of edges.