Quasicrystals and Geometry is a book on quasicrystals and aperiodic tiling by Marjorie Senechal, published in 1995 by Cambridge University Press (ISBN 0-521-37259-3)...

to quasicrystals and the 2011 Nobel Prize. While the first quasicrystals discovered were made out of intermetallic components, later on quasicrystals were...

mathematical analysis and catastrophe theory from evolvents to quasicrystals. Birkhäuser. ISBN 978-3-0348-9129-5. Contact geometry Theme on arxiv.org Contact...

Review: Quasicrystals and geometry" (PDF). Notices of the American Mathematical Society. 43 (4): 416–421. Senechal, Marjorie (1996). Quasicrystals and geometry...

2021.103454. S2CID 237571405. Senechal, Marjorie (1996) [1995]. Quasicrystals and Geometry (corrected paperback ed.). Cambridge University Press. pp. 22–24...

(2), and (3), non-crystalline substances from quasicrystals to glasses must violate (4). However, in the last quarter century, quasicrystals have been...

tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has...

(1986). Tilings and Patterns. W.H. Freeman & Company. ISBN 978-0-7167-1194-0. Senechal, Marjorie (1996) [1995]. Quasicrystals and geometry (corrected paperback ed...

differential geometry. Birkhäuser Verlag AG. ISBN 978-3-7643-8620-7. M.V. Jaric, ed, Introduction to the Mathematics of Quasicrystals (Aperiodicity and Order...

Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Computational geometry Conformal geometry Constructive...

Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric...

мехмата МГУ. Retrieved 2023-01-26. Senechal, Marjorie (1995), Quasicrystals and Geometry, Cambridge: Cambridge University Press Delaunay, Boris (1934)...

Marjorie (1996), "7.2 The SCD (Schmitt–Conway–Danzer) tile", Quasicrystals and Geometry, Cambridge University Press, pp. 209–213, ISBN 9780521575416....

eds. (2000). Quasicrystals. World Scientific Publishing Company. ISBN 978-981-02-4281-7. Trebin HR, ed. (2003). Quasicrystals: Structure and Physical Properties...

Formen [Funny and curious facts about numbers and shapes]. Breslau: Hirt. p. 242. Senechal, Marjorie (1995). Quasicrystals and Geometry. Vol. 111. Cambridge...

Quasicrystals and Geometry by István Hargittai (1997), Advanced Materials 9 (12): 994–996, doi:10.1002/adma.19970091217. Review of Quasicrystals and Geometry...

in her 1995 book Quasicrystals and geometry wrote "Tiling theory was given coherence by Grünbaum and Shephard (1987), who clarified and unified the theory...

dimensions.[citation needed] Senechal, Marjorie (1996) [1995]. Quasicrystals and geometry (corrected paperback ed.). Cambridge University Press. ISBN 978-0-521-57541-6...

Introduction to the Mathematics of Quasicrystals. Academic Press. p. 12. Silvester, John R. (2001). Geometry: Ancient and Modern. Oxford University Publisher...

geometry, symplectic geometry, differential equations, classical mechanics, differential-geometric approach to hydrodynamics, geometric analysis and singularity...

mathematician who made several significant and groundbreaking contributions to the theory of quasicrystals and aperiodic tilings. Ammann attended Brandeis...

crystal structure to the mathematics of crystal geometry, including those that are not periodic or quasicrystals. At the atomic scale it can involve the use...

using a plane with irrational-ratio Miller indices. (Although many quasicrystals, such as the Penrose tiling, are formed by "cuts" of periodic lattices...

Inchbald, Guy (2002), A 3-D Quasicrystal Structure Lord, E. A.; Ranganathan, S.; Kulkarni, U. D. (2001), "Quasicrystals: tiling versus clustering" (PDF)...

the Mathematics of Quasicrystals. Academic Press. p. x. ISBN 9780120406029. Although at the time of the discovery of quasicrystals the theory of quasiperiodic...

1.8 Configurations Coxeter, Complex Regular Polytopes, p.117 Quasicrystals and Geometry, Marjorie Senechal, 1996, Cambridge University Press, p64. 2.7...

materials and in 1981 predicted quasicrystals in a paper (in Russian) entitled "De Nive Quinquangula" in which he used a Penrose tiling in two and three dimensions...

Mathematics of Quasicrystals. Academic Press. p. 12. Walter, Steurer; Deloudi, Sofia (2009). Crystallography of Quasicrystals: Concepts, Methods and Structures...

regular dodecahedron can occur as a shape for quasicrystals (such as holmium–magnesium–zinc quasicrystal) with icosahedral symmetry, which includes true...

translational symmetry can have. All crystalline materials (not including quasicrystals) must, by definition, fit into one of these arrangements. For convenience...