KnowraQuasicrystalLinked fromLinked fromThe 17 pages that link to Quasicrystal, each with the reason it gives.All 17Broader topic 1Related 5Compared with 11Crystal structureCompared with: It shows that ordered solids need not have a conventional repeating unit cell.Crystal latticeCompared with: Quasicrystals challenge the assumption that crystalline order requires a repeating lattice.Amorphous solidCompared with: It shows that nonperiodic structure can still possess long-range order unlike an amorphous solid.Bravais latticeCompared with: Its order can have rotational symmetries forbidden to periodic Bravais lattices.CrystallographyCompared with: It produces sharp diffraction despite lacking the periodic lattice assumed in conventional crystallography.Islamic geometric patternsRelated: Some medieval patterns display the kind of nonperiodic order later studied in quasicrystals.Space groupCompared with: Quasicrystals are not classified by ordinary crystallographic space groups.TessellationRelated: Quasicrystal structures connect nonperiodic tilings with real atomic order.CrystallinityCompared with: It challenges the assumption that ordered solids must repeat periodically.LatticeCompared with: Quasicrystals show that ordered atomic patterns need not arise from a periodic lattice.Roger PenroseRelated: Penrose tilings supplied a mathematical model for the nonperiodic order later found in quasicrystals.Crystallographic point groupCompared with: Quasicrystals can exhibit rotational symmetries forbidden to periodic lattices.Polycrystalline materialCompared with: Its order is neither a conventional crystal lattice nor a collection of ordinary grains.Icosahedral symmetryRelated: Three-dimensional quasicrystals can exhibit forbidden fivefold and icosahedral symmetry.Regular dodecahedronRelated: Icosahedral symmetry, shared with the dodecahedron, occurs in some quasicrystals.Crystallographic restriction theoremCompared with: Quasicrystals can have forbidden rotational symmetries because the theorem assumes periodicity.Dan ShechtmanBroader topic: This is the class of material Shechtman discovered.
KnowraQuasicrystalLinked fromLinked fromThe 17 pages that link to Quasicrystal, each with the reason it gives.All 17Broader topic 1Related 5Compared with 11Crystal structureCompared with: It shows that ordered solids need not have a conventional repeating unit cell.Crystal latticeCompared with: Quasicrystals challenge the assumption that crystalline order requires a repeating lattice.Amorphous solidCompared with: It shows that nonperiodic structure can still possess long-range order unlike an amorphous solid.Bravais latticeCompared with: Its order can have rotational symmetries forbidden to periodic Bravais lattices.CrystallographyCompared with: It produces sharp diffraction despite lacking the periodic lattice assumed in conventional crystallography.Islamic geometric patternsRelated: Some medieval patterns display the kind of nonperiodic order later studied in quasicrystals.Space groupCompared with: Quasicrystals are not classified by ordinary crystallographic space groups.TessellationRelated: Quasicrystal structures connect nonperiodic tilings with real atomic order.CrystallinityCompared with: It challenges the assumption that ordered solids must repeat periodically.LatticeCompared with: Quasicrystals show that ordered atomic patterns need not arise from a periodic lattice.Roger PenroseRelated: Penrose tilings supplied a mathematical model for the nonperiodic order later found in quasicrystals.Crystallographic point groupCompared with: Quasicrystals can exhibit rotational symmetries forbidden to periodic lattices.Polycrystalline materialCompared with: Its order is neither a conventional crystal lattice nor a collection of ordinary grains.Icosahedral symmetryRelated: Three-dimensional quasicrystals can exhibit forbidden fivefold and icosahedral symmetry.Regular dodecahedronRelated: Icosahedral symmetry, shared with the dodecahedron, occurs in some quasicrystals.Crystallographic restriction theoremCompared with: Quasicrystals can have forbidden rotational symmetries because the theorem assumes periodicity.Dan ShechtmanBroader topic: This is the class of material Shechtman discovered.