Quasicrystals, networks, and molecules of fivefold symmetry

Crystals and five-fold symmetry generalizing chrystallography - puzzles and problems in dimension 1 dynamical origin of five-fold symmetry computer-stimulated images of icosahedral, pentagonal and decagonal clusters of atoms x-ray diffraction study of slowly solidified icosahedral alloys analysis of x-ray powder diffraction patterns of rapidly quenched al-based alloys on the basis of quasicrystalline and cubic models finite automata, quasicrystals and Robinson tilings fivefold symmetry in high dimensional spaces and generalized penrose patterns planar patterns with fivefold symmetry as sections of periodic structures in 4-space non-discrete regular honeycombs a two-dimensional quasiperiodic dodecagonal tiling by two pentagons new quasiperiodic lattices from the grid method fivefold symmetry in the context of potential surfaces, moleclar conformations and chemical reactions buckminsterfullerene part a - introduction buckminsterfullerene part b - polyhedra carbon ions as good candidates to a solution of the longest unsolved spectroscopical problem in astronomy buckminsterfullerene part c - huckel energy levels buckminsterfullerene part d - kekule structures buckminsterfullerene part e - molecular vibrations centropolyindans - benzoannelated polyquinanes with a central carbon atom.