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David Smith (hobbyist)
David Smith is an amateur mathematician and retired print technician from Bridlington, Yorkshire, England, who is best known for his discoveries related to aperiodic monotiles that helped to solve the einstein problem. Einstein tile Initial discovery Smith discovered a 13-sided polygon in November 2022 whilst using a software package called ''PolyForm Puzzle Solver'' to experiment with different shapes. After further experimentation using cardboard cut-outs, he realised that the shape appeared to tessellate but seemingly without ever achieving a regular pattern. Contacting experts Smith contacted Craig S. Kaplan from the University of Waterloo to alert him to this potential discovery of an aperiodic monotile. They nicknamed the newly discovered shape "the hat", because of its resemblance to a fedora. Kaplan proceeded to further inspect the polykite shape. During this time, Smith informed Kaplan that he had discovered yet another shape, which he nicknamed "the turtle", that appe ...
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Smith Aperiodic Monotiling
Smith may refer to: People and fictional characters * Metalsmith, or simply smith, a craftsman fashioning tools or works of art out of various metals * Smith (given name) * Smith (surname), a family name originating in England ** List of people with surname Smith, including fictional characters * Smith (artist) (born 1985), French visual artist Arts and entertainment * Smith (band), an American rock band 1969–1971 * ''Smith'' (EP), by Tokyo Police Club, 2007 * ''Smith'' (play), a 1909 play by W. Somerset Maugham * ''Smith'' (1917 film), a British silent film based on the play * ''Smith'' (1939 film), a short film * '' Smith!'', a 1969 Disney Western film * ''Smith'' (TV series), a 2006 American drama * ''Smith'', a 1932 novel by Warwick Deeping * ''Smith'', a 1967 novel by Leon Garfield and a 1970 TV adaptation Places North America * Smith, Indiana, U.S. * Smith, Kentucky, U.S. * Smith, Nevada, U.S. * Smith, South Carolina, U.S. * Smith Village, Oklahoma, U ...
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Fedora
A fedora () is a hat with a soft brim and indented crown.Kilgour, Ruth Edwards (1958). ''A Pageant of Hats Ancient and Modern''. R. M. McBride Company. It is typically creased lengthwise down the crown and "pinched" near the front on both sides. Fedoras can also be creased with teardrop crowns, diamond crowns, center dents, and others, and the positioning of pinches can vary. The typical crown height is . The term ''fedora'' was in use as early as 1891. Its popularity soared, and eventually it eclipsed the similar-looking homburg. Despite falling out of fashion with other formal mens hats during the 1960s, the hat has seen some resurgence during the 21st century amongst men and women alike, through its current use is generally less associated with formal dress. The fedora hat's brim is usually around wide, but can be wider, can be left raw-edged (left as cut), finished with a sewn overwelt or underwelt, or bound with a trim-ribbon. ''Stitched edge'' means that there is one ...
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Tiling Puzzles
Tiling may refer to: *The physical act of laying tiles *Tessellations Computing *The compiler optimization of loop tiling * Tiled rendering, the process of subdividing an image by regular grid * Tiling window manager People * Heinrich Sylvester Theodor Tiling (1818–1871), physician and botanist * Reinhold Tiling (1893–1933), German rocket pioneer Other uses * Neuronal tiling * Tile drainage, an agriculture practice that removes excess water from soil * Tiling (crater), a small, undistinguished crater on the far side of the Moon See also *Brickwork *Packing (other) Packing may refer to: Law and politics * Jury packing, selecting biased jurors for a court case * Packing and cracking, a method of creating voting districts to give a political party an advantage Other uses * Packing (firestopping), the proces ... * Tiling puzzle {{disambiguation, surname ...
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Recreational Mathematicians
Recreation is an activity of leisure, leisure being discretionary time. The "need to do something for recreation" is an essential element of human biology and psychology. Recreational activities are often done for enjoyment, amusement, or pleasure and are considered to be " fun". Etymology The term ''recreation'' appears to have been used in English first in the late 14th century, first in the sense of "refreshment or curing of a sick person", and derived turn from Latin (''re'': "again", ''creare'': "to create, bring forth, beget"). Prerequisites to leisure People spend their time on activities of daily living, work, sleep, social duties and leisure, the latter time being free from prior commitments to physiologic or social needs, a prerequisite of recreation. Leisure has increased with increased longevity and, for many, with decreased hours spent for physical and economic survival, yet others argue that time pressure has increased for modern people, as they are committed to too ...
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Amateur Mathematicians
An amateur () is generally considered a person who pursues an avocation independent from their source of income. Amateurs and their pursuits are also described as popular, informal, self-taught, user-generated, DIY, and hobbyist. History Historically, the amateur was considered to be the ideal balance between pure intent, open mind, and the interest or passion for a subject. That ideology spanned many different fields of interest. It may have its roots in the ancient Greek philosophy of amateur athletes competing in the Olympics. The ancient Greek citizens spent most of their time in other pursuits, but competed according to their natural talents and abilities. The "gentleman amateur" was a phenomenon among the gentry of Great Britain from the 17th century until the 20th century. With the start of the Age of Reason, with people thinking more about how the world works around them, (see science in the Age of Enlightenment), things like the cabinets of curiosities, and the wri ...
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University Of Arkansas
The University of Arkansas (U of A, UArk, or UA) is a Public university, public Land-grant university, land-grant research university in Fayetteville, Arkansas, United States. It is the Flagship campus, flagship campus of the University of Arkansas System. Founded as Arkansas Industrial University in 1871, classes were first held in 1872, with its present name adopted in 1899. The university campus consists of 378 buildings spread across of land in Fayetteville, Arkansas. As of Fall 2023, total enrollment was 32,140. The university is Carnegie Classification of Institutions of Higher Education, classified among "R1: Doctoral Universities – Very high research activity" and had spent $164.4 million on research in FY 2021. The University of Arkansas's athletic teams, the Arkansas Razorbacks, compete in NCAA Division I as members of the Southeastern Conference (SEC) with eight men's teams and eleven women's teams in thirteen sports. History Early developments The University o ...
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Chaim Goodman-Strauss
Chaim Goodman-Strauss (born June 22, 1967 in Austin, Texas) is an American mathematician who works in convex geometry, especially aperiodic tiling. He retired from the faculty of the University of Arkansas and currently serves as outreach mathematician for the National Museum of Mathematics. He is co-author with John H. Conway and Heidi Burgiel of '' The Symmetries of Things'', a comprehensive book surveying the mathematical theory of patterns. Education and career Goodman-Strauss received both his B.S. (1988) and Ph.D. (1994) in mathematics from the University of Texas at Austin.Chaim Goodman-Strauss
The College Board
His doctoral advisor was John Edwin Luecke. He joined the faculty at the
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Cambridge
Cambridge ( ) is a List of cities in the United Kingdom, city and non-metropolitan district in the county of Cambridgeshire, England. It is the county town of Cambridgeshire and is located on the River Cam, north of London. As of the 2021 United Kingdom census, the population of the City of Cambridge was 145,700; the population of the wider built-up area (which extends outside the city council area) was 181,137. (2021 census) There is archaeological evidence of settlement in the area as early as the Bronze Age, and Cambridge became an important trading centre during the Roman Britain, Roman and Viking eras. The first Town charter#Municipal charters, town charters were granted in the 12th century, although modern city status was not officially conferred until 1951. The city is well known as the home of the University of Cambridge, which was founded in 1209 and consistently ranks among the best universities in the world. The buildings of the university include King's College Chap ...
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Aperiodic Monotile
In plane discrete geometry, the einstein problem asks about the existence of a single prototile that by itself forms an aperiodic set of prototiles; that is, a shape that can tessellate space but only in a nonperiodic way. Such a shape is called an einstein, a word play on ''ein Stein'', German for "one stone". Several variants of the problem, depending on the particular definitions of nonperiodicity and the specifications of what sets may qualify as tiles and what types of matching rules are permitted, were solved beginning in the 1990s. The strictest version of the problem was solved in 2023, after an initial discovery in 2022. The einstein problem can be seen as a natural extension of the second part of Hilbert's eighteenth problem, which asks for a single polyhedron that tiles Euclidean 3-space, but such that no tessellation by this polyhedron is isohedral. Such anisohedral tiles were found by Karl Reinhardt in 1928, but these anisohedral tiles all tile space periodicall ...
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Bridlington
Bridlington (previously known as Burlington) is a seaside town and civil parish in the East Riding of Yorkshire, England. It is on the Holderness part (Flamborough Head to the Humber estuary) of the Yorkshire Coast by the North Sea. The town is about north of Kingston upon Hull, Hull and east of York. The stream called Gypsey Race flows through the town and enters the North Sea at the harbour. Bridlington Priory, The Priory Church of St Mary and associated Bayle (or gate) are Grade I listed buildings on the site of an Augustinians, Augustinian Priory. As a sea-fishing port, the town is known for shellfish, and is the largest lobster port in Europe, with over 300 tonnes of the crustaceans landed there each year. It has been termed the "Lobster Capital of Europe". Alongside manufacturing, retail and service firms, its main trade is summer tourism. It holds one of the List of coastal weather stations in the British Isles, UK's coastal weather stations. History Ancient history Ar ...
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University Of Waterloo
The University of Waterloo (UWaterloo, UW, or Waterloo) is a Public university, public research university located in Waterloo, Ontario, Canada. The main campus is on of land adjacent to uptown Waterloo and Waterloo Park. The university also operates three satellite campuses and four affiliated school, affiliated university colleges. The university offers academic programs administered by six faculties and thirteen faculty-based schools. Waterloo operates the largest post-secondary co-operative education program in the world, with over 20,000 undergraduate students enrolled in the university's co-op program. Waterloo is a member of the U15 Group of Canadian Research Universities, U15, a group of research-intensive universities in Canada. The institution originates from the Waterloo College Associate Faculties, established on 4 April 1956; a semi-autonomous entity of Wilfrid Laurier University, Waterloo College, which was an Affiliated college, affiliate of the University of West ...
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Craig S
Craig may refer to: People and fictional characters *Craig (surname), including a list of people and fictional characters * Craig (given name), including a list of people and fictional characters * Clan Craig, a Scottish clan Places United States *Craig, Alaska, a city * Craig, Colorado, a city * Craig, Iowa, a city * Craig, Missouri, a city * Craig, Montana, an unincorporated place * Craig, Nebraska, a village * Craig, Ohio, an unincorporated community * Craig County, Oklahoma * Craig County, Virginia * Craig Township, Switzerland County, Indiana * Craig Township, Burt County, Nebraska * Mount Craig (Colorado) * Mount Craig (North Carolina) * Craig Mountain, Oregon *Craig Field (airport), a public airport near Selma, Alabama, formerly: **Craig Air Force Base, a former United States Air Force base * Craig Hospital, a neurorehabilitation and research hospital in Englewood, Colorado, United States * Fort Craig, a United States Army fort in New Mexico * The Craig School, an independ ...
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