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List Of Aperiodic Sets Of Tiles
In geometry, a tiling is a partition of the plane (or any other geometric setting) into closed sets (called ''tiles''), without gaps or overlaps (other than the boundaries of the tiles). A tiling is considered periodic if there exist translations in two independent directions which map the tiling onto itself. Such a tiling is composed of a single fundamental unit or primitive cell which repeats endlessly and regularly in two independent directions. An example of such a tiling is shown in the adjacent diagram (see the image description for more information). A tiling that cannot be constructed from a single primitive cell is called nonperiodic. If a given set of tiles allows only nonperiodic tilings, then this set of tiles is called aperiodic A periodic function is a function that repeats its values at regular intervals. For example, the trigonometric functions, which repeat at intervals of 2\pi radians, are periodic functions. Periodic functions are used throughout science t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fund Un Prim Cell
Fund may refer to: * Funding is the act of providing resources, usually in form of money, or other values such as effort or time, for a project, a person, a business, or any other private or public institution ** The process of soliciting and gathering funds is known as fundraising * An investment fund, often referred to as a fund ** Hedge fund, an investment vehicle open only to investors who are qualified in some way ** Mutual fund, a specific type of investment fund which pools money from many investors to purchase securities ** Sovereign wealth fund, a state-owned investment fund * Fund accounting, nonprofit organizations and by the public sector * Meir Fund, American rabbi *FUND or FUND92, short names for the "International Convention on the Establishment of an International Fund for Compensation for Oil Pollution Damage The International Convention on the Establishment of an International Fund for Compensation for Oil Pollution Damage, 1992, often referred to as FUND92 or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eureka (University Of Cambridge Magazine)
''Eureka'' is a journal published annually by The Archimedeans, the Mathematical Society of Cambridge University. It is one of the oldest recreational mathematics publications still in existence. Eureka includes many mathematical articles on a variety different topics – written by students and mathematicians from all over the world – as well as a short summary of the activities of the society, problem sets, puzzles, artwork and book reviews. Eureka has been published 66 times since 1939, and authors include many famous mathematicians and scientists such as Paul Erdős, Martin Gardner, Douglas Hofstadter, G. H. Hardy, Béla Bollobás, John Conway, Stephen Hawking, Roger Penrose, W. T. Tutte (writing with friends under the pseudonym Blanche Descartes), popular maths writer Ian Stewart, Fields Medallist Timothy Gowers and Nobel Laureate Paul Dirac. The journal was formerly distributed free of charge to all current members of the Archimedeans. Today, it is published electronic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ammann–Beenker Tiling
In geometry, an Ammann–Beenker tiling is a nonperiodic tiling which can be generated either by an aperiodic set of prototiles as done by Robert Ammann in the 1970s, or by the cut-and-project method as done independently by F. P. M. Beenker. They are one of the five sets of tilings discovered by Ammann and described in ''Tilings and Patterns''. The Ammann–Beenker tilings have many properties similar to the more famous Penrose tilings: *They are nonperiodic, which means that they lack any translational symmetry. *Their non-periodicity is implied by their hierarchical structure: the tilings are substitution tilings arising from substitution rules for growing larger and larger patches. This substitution structure also implies that: *Any finite region (patch) in a tiling appears infinitely many times in that tiling and, in fact, in any other tiling. Thus, the infinite tilings all look similar to one another, if one looks only at finite patches. *They are quasicrystalline: implemen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ammann A4
Ammann is a surname of German origin which is an alternative spelling of Amtmann or Amman, an historical kind of bailiff. Notable people with the surname include: * Alberto Ammann, Argentine actor *Daniel Ammann, Swiss author and journalist (born 1973) *Erwin Ammann, German politician and co-founder of the Christian Social Union of Bavaria (1916 – 2000) * Gretel Ammann (1947–2000), Spanish philosopher, writer and activist * Jakob Ammann, Swiss anabaptist leader and founder of the Amish (c. 1644 – c. 1730) *Johann Conrad Ammann, Swiss physician and fossil collector (1724 – 1811) *Johann Konrad Ammann, Swiss physician and instructor of deaf persons (1669 – 1724) * Johann Schneider-Ammann, Swiss politician (born 1952) *Mike Ammann, American soccer player (born 1971) *Othmar Ammann, structural engineer who built many of New York City's bridges (1879 – 1965) *Robert Ammann, American amateur mathematician with contributions to aperiodic tilings (1946 – 1994) *Simon Ammann, S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ammann A3
Ammann is a surname of German origin which is an alternative spelling of Amtmann or Amman, an historical kind of bailiff. Notable people with the surname include: * Alberto Ammann, Argentine actor *Daniel Ammann, Swiss author and journalist (born 1973) *Erwin Ammann, German politician and co-founder of the Christian Social Union of Bavaria (1916 – 2000) * Gretel Ammann (1947–2000), Spanish philosopher, writer and activist * Jakob Ammann, Swiss anabaptist leader and founder of the Amish (c. 1644 – c. 1730) *Johann Conrad Ammann, Swiss physician and fossil collector (1724 – 1811) *Johann Konrad Ammann, Swiss physician and instructor of deaf persons (1669 – 1724) * Johann Schneider-Ammann, Swiss politician (born 1952) *Mike Ammann, American soccer player (born 1971) *Othmar Ammann, structural engineer who built many of New York City's bridges (1879 – 1965) *Robert Ammann, American amateur mathematician with contributions to aperiodic tilings (1946 – 1994) *Simon Ammann, S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Discrete & Computational Geometry
'' Discrete & Computational Geometry'' is a peer-reviewed mathematics journal published quarterly by Springer. Founded in 1986 by Jacob E. Goodman and Richard M. Pollack, the journal publishes articles on discrete geometry and computational geometry. Abstracting and indexing The journal is indexed in: * ''Mathematical Reviews'' * ''Zentralblatt MATH'' * ''Science Citation Index'' * ''Current Contents''/Engineering, Computing and Technology Notable articles The articles by Gil Kalai with a proof of a subexponential upper bound on the diameter of a polyhedron and by Samuel Ferguson on the Kepler conjecture, both published in Discrete & Computational geometry, earned their author the Fulkerson Prize The Fulkerson Prize for outstanding papers in the area of discrete mathematics is sponsored jointly by the Mathematical Optimization Society (MOS) and the American Mathematical Society (AMS). Up to three awards of $1,500 each are presented at e .... References External link ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ammann A2
Ammann is a surname of German origin which is an alternative spelling of Amtmann or Amman, an historical kind of bailiff. Notable people with the surname include: * Alberto Ammann, Argentine actor *Daniel Ammann, Swiss author and journalist (born 1973) *Erwin Ammann, German politician and co-founder of the Christian Social Union of Bavaria (1916 – 2000) * Gretel Ammann (1947–2000), Spanish philosopher, writer and activist * Jakob Ammann, Swiss anabaptist leader and founder of the Amish (c. 1644 – c. 1730) *Johann Conrad Ammann, Swiss physician and fossil collector (1724 – 1811) *Johann Konrad Ammann, Swiss physician and instructor of deaf persons (1669 – 1724) * Johann Schneider-Ammann, Swiss politician (born 1952) *Mike Ammann, American soccer player (born 1971) *Othmar Ammann, structural engineer who built many of New York City's bridges (1879 – 1965) *Robert Ammann, American amateur mathematician with contributions to aperiodic tilings (1946 – 1994) *Simon Ammann, S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inventiones Mathematicae
''Inventiones Mathematicae'' is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current managing editors are Camillo De Lellis (Institute for Advanced Study, Princeton) and Jean-Benoît Bost (University of Paris-Sud Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, in ...). Abstracting and indexing The journal is abstracted and indexed in: References External links *{{Official website, https://www.springer.com/journal/222 Mathematics journals Publications established in 1966 English-language journals Springer Science+Business Media academic journals Monthly journals ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aperiodic Tiling
An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non- periodic tilings. The Penrose tilings are the best-known examples of aperiodic tilings. Aperiodic tilings serve as mathematical models for quasicrystals, physical solids that were discovered in 1982 by Dan Shechtman who subsequently won the Nobel prize in 2011. However, the specific local structure of these materials is still poorly understood. Several methods for constructing aperiodic tilings are known. Definition and illustration Consider a periodic tiling by unit squares (it looks like infinite graph paper). Now cut one square into two rectangles. The tiling obtained in this way is non-periodic: there is no non-zero shift that leaves this tiling fixed. But clearly this example is much less interesting than the Penrose tiling. In order t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robinson Tiles
Robinson may refer to: People and names * Robinson (name) Fictional characters * Robinson Crusoe, the main character, and title of a novel by Daniel Defoe, published in 1719 Geography * Robinson projection, a map projection used since the 1960s to show the entire world in two dimensions * Robinson (crater), a small lunar impact crater southwest of the large walled plain J. Herschel ;United States * Robinson, Illinois * Robinson, Iowa * Robinson, Kansas * Robinson, Kentucky * Robinson, Minnesota * Robinson, North Dakota * Robinson, Texas * Robinson, Washington * Robinson Township, Pennsylvania (other), two townships in the Pittsburgh Metro Area with the same name ;United Kingdom * Robinson (Lake District), a 737 m hill in England's Lake District * Robinson College, Cambridge, a college in England's University of Cambridge ;France * Robinson (Paris RER), a commuter train station in Paris Ships * USS ''Robinson'', the name of more than one United States Navy ship *USS ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
