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''Flatland: A Romance of Many Dimensions'' is a satirical novella by the English schoolmaster Edwin Abbott Abbott, first published in 1884 by Seeley & Co. of London. Written pseudonymously by "A Square", the book used the fictional two-dimensional world of Flatland to comment on the hierarchy of Victorian culture, but the novella's more enduring contribution is its examination of dimensions. A sequel, '' Sphereland'', was written by Dionys Burger in 1957. Several films have been based on ''Flatland'', including the feature film ''Flatland'' (2007). Other efforts have been short or experimental films, including one narrated by Dudley Moore and the short films '' Flatland: The Movie'' (2007) and '' Flatland 2: Sphereland'' (2012). Plot The story describes a two-dimensional world inhabited by geometric figures (flatlanders); women are line segments, while men are polygons with various numbers of sides. The narrator is a square, a member of the caste of gentlemen and prof ...
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Edwin A
The name Edwin means "wealth-friend". It comes from (wealth, good fortune) and (friend). Thus the Old English form is Ēadwine, a name widely attested in early medieval England. Edwina is the feminine form of the name. Notable people and characters with the name include: Historical figures * Edwin of Northumbria (died 632 or 633), King of Northumbria and Christian saint * Edwin (son of Edward the Elder) (died 933) * Eadwine of Sussex (died 982), Ealdorman of Sussex * Eadwine of Abingdon (died 990), Abbot of Abingdon * Edwin, Earl of Mercia (died 1071), brother-in-law of Harold Godwinson (Harold II) * Edwin Sandys (bishop) (1519–1588), Archbishop of York Modern era * E. W. Abeygunasekera, Sri Lankan Sinhala politician * Edwin Abbott Abbott (1838–1926), English schoolmaster, theologian, and Anglican priest * Edwin Ariyadasa (1922–2021), Sri Lankan Sinhala journalist * Edwin Arrieta Arteaga (died 2023), Colombian murder victim * Edwin Austin Abbey (1852–19 ...
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Shape
A shape is a graphics, graphical representation of an object's form or its external boundary, outline, or external Surface (mathematics), surface. It is distinct from other object properties, such as color, Surface texture, texture, or material type. In geometry, ''shape'' excludes information about the object's Position (geometry), position, size, Orientation (geometry), orientation and chirality. A ''figure'' is a representation including both shape and size (as in, e.g., figure of the Earth). A plane shape or plane figure is constrained to lie on a ''plane (geometry), plane'', in contrast to ''solid figure, solid'' 3D shapes. A two-dimensional shape or two-dimensional figure (also: 2D shape or 2D figure) may lie on a more general curved ''surface (mathematics), surface'' (a two-dimensional space). Classification of simple shapes Some simple shapes can be put into broad categories. For instance, polygons are classified according to their number of edges as triangles, qua ...
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Apostle
An apostle (), in its literal sense, is an emissary. The word is derived from Ancient Greek ἀπόστολος (''apóstolos''), literally "one who is sent off", itself derived from the verb ἀποστέλλειν (''apostéllein''), "to send off". The purpose of such sending off is usually to convey a message, and thus "messenger" is a common alternative translation; other common translations include "ambassador" and "envoy". The term in Ancient Greek also has other related meanings. In Christianity, the term was used in the New Testament for Jesus' Twelve Apostles (including Peter, James, and John), as well as a wider group of early Christian figures, including Paul, Barnabas, and Junia.Bart Ehrman - The History of the Bib ...
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Three-dimensional Space
In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values ('' coordinates'') are required to determine the position of a point. Most commonly, it is the three-dimensional Euclidean space, that is, the Euclidean space of dimension three, which models physical space. More general three-dimensional spaces are called '' 3-manifolds''. The term may also refer colloquially to a subset of space, a ''three-dimensional region'' (or 3D domain), a '' solid figure''. Technically, a tuple of numbers can be understood as the Cartesian coordinates of a location in a -dimensional Euclidean space. The set of these -tuples is commonly denoted \R^n, and can be identified to the pair formed by a -dimensional Euclidean space and a Cartesian coordinate system. When , this space is called the three-dimensional Euclidean space (or simply "Euclidean space" when the context is clear). In classical physics, it serve ...
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Great Circle
In mathematics, a great circle or orthodrome is the circular intersection of a sphere and a plane passing through the sphere's center point. Discussion Any arc of a great circle is a geodesic of the sphere, so that great circles in spherical geometry are the natural analog of straight lines in Euclidean space. For any pair of distinct non- antipodal points on the sphere, there is a unique great circle passing through both. (Every great circle through any point also passes through its antipodal point, so there are infinitely many great circles through two antipodal points.) The shorter of the two great-circle arcs between two distinct points on the sphere is called the ''minor arc'', and is the shortest surface-path between them. Its arc length is the great-circle distance between the points (the intrinsic distance on a sphere), and is proportional to the measure of the central angle formed by the two points and the center of the sphere. A great circle is the largest ...
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Disk (mathematics)
In geometry, a disk (Spelling of disc, also spelled disc) is the region in a plane (geometry), plane bounded by a circle. A disk is said to be ''closed'' if it contains the circle that constitutes its boundary, and ''open'' if it does not. For a radius r, an open disk is usually denoted as D_r, and a closed disk is \overline. However in the field of topology the closed disk is usually denoted as D^2, while the open disk is \operatorname D^2. Formulas In Cartesian coordinates, the ''open disk'' with center (a, b) and radius ''R'' is given by the formula D = \, while the ''closed disk'' with the same center and radius is given by \overline = \. The area (geometry), area of a closed or open disk of radius ''R'' is π''R''2 (see area of a disk). Properties The disk has circular symmetry. The open disk and the closed disk are not topologically equivalent (that is, they are not homeomorphism, homeomorphic), as they have different topological properties from each other. For ...
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Circle
A circle is a shape consisting of all point (geometry), points in a plane (mathematics), plane that are at a given distance from a given point, the Centre (geometry), centre. The distance between any point of the circle and the centre is called the radius. The length of a line segment connecting two points on the circle and passing through the centre is called the diameter. A circle bounds a region of the plane called a Disk (mathematics), disc. The circle has been known since before the beginning of recorded history. Natural circles are common, such as the full moon or a slice of round fruit. The circle is the basis for the wheel, which, with related inventions such as gears, makes much of modern machinery possible. In mathematics, the study of the circle has helped inspire the development of geometry, astronomy and calculus. Terminology * Annulus (mathematics), Annulus: a ring-shaped object, the region bounded by two concentric circles. * Circular arc, Arc: any Connected ...
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Sphere
A sphere (from Ancient Greek, Greek , ) is a surface (mathematics), surface analogous to the circle, a curve. In solid geometry, a sphere is the Locus (mathematics), set of points that are all at the same distance from a given point in three-dimensional space.. That given point is the center (geometry), ''center'' of the sphere, and the distance is the sphere's ''radius''. The earliest known mentions of spheres appear in the work of the Greek mathematics, ancient Greek mathematicians. The sphere is a fundamental surface in many fields of mathematics. Spheres and nearly-spherical shapes also appear in nature and industry. Bubble (physics), Bubbles such as soap bubbles take a spherical shape in equilibrium. The Earth is spherical Earth, often approximated as a sphere in geography, and the celestial sphere is an important concept in astronomy. Manufactured items including pressure vessels and most curved mirrors and lenses are based on spheres. Spheres rolling, roll smoothly in ...
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Monarch
A monarch () is a head of stateWebster's II New College Dictionary. "Monarch". Houghton Mifflin. Boston. 2001. p. 707. Life tenure, for life or until abdication, and therefore the head of state of a monarchy. A monarch may exercise the highest authority and power in the Sovereign state, state, or others may wield that power on behalf of the monarch. Usually, a monarch either personally inheritance, inherits the lawful right to exercise the state's sovereign rights (often referred to as ''the throne'' or ''the Crown, the crown'') or is elective monarchy, selected by an established process from a family or cohort eligible to provide the nation's monarch. Alternatively, an individual may self-proclaimed monarchy, proclaim oneself monarch, which may be backed and Legitimacy (political), legitimated through acclamation, right of conquest or a combination of means. If a young child is crowned the monarch, then a regent is often appointed to govern until the monarch reaches the requisi ...
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Point (geometry)
In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical spaces. As zero-dimensional objects, points are usually taken to be the fundamental indivisible elements comprising the space, of which one-dimensional curves, two-dimensional surfaces, and higher-dimensional objects consist. In classical Euclidean geometry, a point is a primitive notion, defined as "that which has no part". Points and other primitive notions are not defined in terms of other concepts, but only by certain formal properties, called axioms, that they must satisfy; for example, ''"there is exactly one straight line that passes through two distinct points"''. As physical diagrams, geometric figures are made with tools such as a compass, scriber, or pen, whose pointed tip can mark a small dot or prick a small hole representing a point, or can be drawn across a surface to represent a curve. A po ...
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One-dimensional Space
A one-dimensional space (1D space) is a mathematical space in which location can be specified with a single coordinate. An example is the number line, each point of which is described by a single real number. Any straight line or smooth curve is a one-dimensional space, regardless of the dimension of the ambient space in which the line or curve is embedded. Examples include the circle on a plane, or a parametric space curve. In physical space, a 1D subspace is called a "linear dimension" ( rectilinear or curvilinear), with units of length (e.g., metre). In algebraic geometry there are several structures that are one-dimensional spaces but are usually referred to by more specific terms. Any field K is a one-dimensional vector space over itself. The projective line over K, denoted \mathbf P^1(K), is a one-dimensional space. In particular, if the field is the complex numbers \mathbb, then the complex projective line \mathbf P^1(\mathbb) is one-dimensional with respect to ...
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Caste
A caste is a Essentialism, fixed social group into which an individual is born within a particular system of social stratification: a caste system. Within such a system, individuals are expected to marry exclusively within the same caste (endogamy), follow lifestyles often linked to a particular occupation, hold a ritual status observed within a hierarchy, and interact with others based on cultural notions of social exclusion, exclusion, with certain castes considered as either more pure or more polluted than others. The term "caste" is also applied to morphological groupings in eusocial insects such as ants, bees, and termites#caste, termites. The paradigmatic ethnographic example of caste is the division of India's Hinduism, Hindu society into rigid social groups. Its roots lie in South Asia's ancient history and it still exists; however, the economic significance of the caste system in India seems to be declining as a result of urbanisation and affirmative action programs. ...
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