The Two-cube Calendar
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The Two-cube Calendar
A two-cube calendar is a desk calendar consisting of two cubes with faces marked by digits 0 through 9. Each face of each cube is marked with a single digit, and it is possible to arrange the cubes so that any chosen day of the month (from 01, 02, ... through 31) is visible on the two front faces. A puzzle about the two-cube calendar was described in Gardner's column in ''Scientific American''.Gardner, Mathematical Circus, 1992, p. 186. In the puzzle discussed in ''Mathematical Circus'' (1992), two visible faces of one cube have digits 1 and 2 on them, and three visible faces of another cube have digits 3, 4, 5 on them. The cubes are arranged so that their front faces indicate the 25th day of the current month. The problem is to determine digits hidden on the seven invisible faces. Gardner wrote he saw a two-cube desk calendar in a store window in New York. According to a letter received by Gardner from John S. Singleton (England), Singleton patented the calendar in ...
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Extended Two Cube Calendar
Extension, extend or extended may refer to: Mathematics Logic or set theory * Axiom of extensionality * Extensible cardinal * Extension (model theory) * Extension (predicate logic), the set of tuples of values that satisfy the predicate * Extension (semantics), the set of things to which a property applies * Extension by definitions * Extensional definition, a definition that enumerates every individual a term applies to * Extensionality Other uses * Extension of a polyhedron, in geometry * Exterior algebra, Grassmann's theory of extension, in geometry * Homotopy extension property, in topology * Kolmogorov extension theorem, in probability theory * Linear extension, in order theory * Sheaf extension, in algebraic geometry * Tietze extension theorem, in topology * Whitney extension theorem, in differential geometry * Group extension, in abstract algebra and homological algebra Music * Extension (music), notes that fit outside the standard range * ''Extended'' (Solar ...
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November 11
Events Pre-1600 * 308 – At Carnuntum, Emperor ''emeritus'' Diocletian confers with Galerius, ''Augustus'' of the East, and Maximianus, the recently returned former ''Augustus'' of the West, in an attempt to end the civil wars of the Tetrarchy. * 1028 – Constantine VIII dies, ending his uninterrupted reign as emperor or co-emperor of the Byzantine Empire of 66 years. * 1100 – Henry I of England marries Matilda of Scotland, the daughter of Malcolm III of Scotland and a direct descendant of the Saxon king Edmund Ironside; Matilda is crowned on the same day. *1215 – The Fourth Council of the Lateran meets, defining the doctrine of transubstantiation, the process by which bread and wine are, by that doctrine, said to transform into the body and blood of Christ. *1500 – Treaty of Granada: Louis XII of France and Ferdinand II of Aragon agree to divide the Kingdom of Naples between them. * 1572 – Tycho Brahe observes the supernova SN 1572. 1601– ...
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Association Of Teachers Of Mathematics
The Association of Teachers of Mathematics (ATM) was established by Caleb Gattegno in 1950 to encourage the development of mathematics education to be more closely related to the needs of the learner. ATM is a membership organisation representing a community of students, nursery, infant, primary, secondary and tertiary teachers, numeracy consultants, overseas teachers, academics and anybody interested in mathematics education. Aims The stated aims of the Association of Teachers of Mathematics are to support the teaching and learning of mathematics by: * encouraging increased understanding and enjoyment of mathematics * encouraging increased understanding of how people learn mathematics * encouraging the sharing and evaluation of teaching and learning strategies and practices * promoting the exploration of new ideas and possibilities * initiating and contributing to discussion of and developments in mathematics education at all levels Guiding principles ATM lists as its guiding pr ...
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The Mathematical Association Of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry. The MAA was founded in 1915 and is headquartered at 1529 18th Street, Northwest in the Dupont Circle neighborhood of Washington, D.C. The organization publishes mathematics journals and books, including the ''American Mathematical Monthly'' (established in 1894 by Benjamin Finkel), the most widely read mathematics journal in the world according to records on JSTOR. Mission and Vision The mission of the MAA is to advance the understanding of mathematics and its impact on our world. We envision a society that values the power and beauty of mathematics and fully realizes its potential to promote human flourishing. ...
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The New York Times
''The New York Times'' (''the Times'', ''NYT'', or the Gray Lady) is a daily newspaper based in New York City with a worldwide readership reported in 2020 to comprise a declining 840,000 paid print subscribers, and a growing 6 million paid digital subscribers. It also is a producer of popular podcasts such as '' The Daily''. Founded in 1851 by Henry Jarvis Raymond and George Jones, it was initially published by Raymond, Jones & Company. The ''Times'' has won 132 Pulitzer Prizes, the most of any newspaper, and has long been regarded as a national " newspaper of record". For print it is ranked 18th in the world by circulation and 3rd in the U.S. The paper is owned by the New York Times Company, which is publicly traded. It has been governed by the Sulzberger family since 1896, through a dual-class share structure after its shares became publicly traded. A. G. Sulzberger, the paper's publisher and the company's chairman, is the fifth generation of the family to head the pa ...
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Sicherman Dice
Comparison of sum tables of and dice. If zero is allowed, normal dice have one variant and Sicherman dice have two Each table has Sicherman dice are a pair of 6-sided dice with non-standard numbers–one with the sides 1, 2, 2, 3, 3, 4 and the other with the sides 1, 3, 4, 5, 6, 8. They are notable as the only pair of 6-sided dice that are not normal dice, bear only positive integers, and have the same probability distribution for the sum as normal dice. They were invented in 1978 by George Sicherman of Buffalo, New York. Mathematics A standard exercise in elementary combinatorics is to calculate the number of ways of rolling any given value with a pair of fair six-sided dice (by taking the sum of the two rolls). The table shows the number of such ways of rolling a given value n: Crazy dice is a mathematical exercise in elementary combinatorics, involving a re-labeling of the faces of a pair of six-sided dice to reproduce the same frequency of sums as the standard ...
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Day Date Cubes
A day is the time period of a full rotation of the Earth with respect to the Sun. On average, this is 24 hours, 1440 minutes, or 86,400 seconds. In everyday life, the word "day" often refers to a solar day, which is the length between two solar noons or times the Sun reaches the highest point. The word "day" may also refer to ''daytime'', a time period when the location receives direct and indirect sunlight. On Earth, as a location passes through its day, it experiences morning, noon, afternoon, evening, and night. The effect of a day is vital to many life processes, which is called the circadian rhythm. A collection of sequential days is organized into calendars as dates, almost always into weeks, months and years. Most calendars' arrangement of dates use either or both the Sun with its four seasons (solar calendar) or the Moon's phasing (lunar calendar). The start of a day is commonly accepted as roughly the time of the middle of the night or midnight, written as ...
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Polish Language
Polish (Polish: ''język polski'', , ''polszczyzna'' or simply ''polski'', ) is a West Slavic language of the Lechitic group written in the Latin script. It is spoken primarily in Poland and serves as the native language of the Poles. In addition to being the official language of Poland, it is also used by the Polish diaspora. There are over 50 million Polish speakers around the world. It ranks as the sixth most-spoken among languages of the European Union. Polish is subdivided into regional dialects and maintains strict T–V distinction pronouns, honorifics, and various forms of formalities when addressing individuals. The traditional 32-letter Polish alphabet has nine additions (''ą'', ''ć'', ''ę'', ''ł'', ''ń'', ''ó'', ''ś'', ''ź'', ''ż'') to the letters of the basic 26-letter Latin alphabet, while removing three (x, q, v). Those three letters are at times included in an extended 35-letter alphabet, although they are not used in native words. The traditional ...
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Net (polyhedron)
In geometry, a net of a polyhedron is an arrangement of non-overlapping edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron. Polyhedral nets are a useful aid to the study of polyhedra and solid geometry in general, as they allow for physical models of polyhedra to be constructed from material such as thin cardboard. An early instance of polyhedral nets appears in the works of Albrecht Dürer, whose 1525 book ''A Course in the Art of Measurement with Compass and Ruler'' (''Unterweysung der Messung mit dem Zyrkel und Rychtscheyd '') included nets for the Platonic solids and several of the Archimedean solids. These constructions were first called nets in 1543 by Augustin Hirschvogel. Existence and uniqueness Many different nets can exist for a given polyhedron, depending on the choices of which edges are joined and which are separated. The edges that are cut from a convex polyhedron to form a net must form a spanning tree of t ...
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Gregorian Calendar
The Gregorian calendar is the calendar used in most parts of the world. It was introduced in October 1582 by Pope Gregory XIII as a modification of, and replacement for, the Julian calendar. The principal change was to space leap years differently so as to make the average calendar year 365.2425 days long, more closely approximating the 365.2422-day 'tropical' or 'solar' year that is determined by the Earth's revolution around the Sun. The rule for leap years is: There were two reasons to establish the Gregorian calendar. First, the Julian calendar assumed incorrectly that the average solar year is exactly 365.25 days long, an overestimate of a little under one day per century, and thus has a leap year every four years without exception. The Gregorian reform shortened the average (calendar) year by 0.0075 days to stop the drift of the calendar with respect to the equinoxes.See Wikisource English translation of the (Latin) 1582 papal bull '' Inter gravissimas''. Second, ...
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Souvenir
A souvenir (), memento, keepsake, or token of remembrance is an object a person acquires for the memories the owner associates with it. A souvenir can be any object that can be collected or purchased and transported home by the traveler as a memento of a visit. The object itself may have intrinsic value, or be a symbol of experience. Without the owner's input, the symbolic meaning is lost and cannot be articulated. As objects The tourism industry designates tourism souvenirs as commemorative merchandise associated with a location, often including geographic information and usually produced in a manner that promotes souvenir collecting. Throughout the world, the souvenir trade is an important part of the tourism industry serving a dual role, first to help improve the local economy, and second to allow visitors to take with them a memento of their visit, ultimately to encourage an opportunity for a return visit, or to promote the locale to other tourists as a form of word-o ...
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