"Recover" is magical: from the outside, it's a darkly reflective, ultramarine glass parallelepiped structure wedded to a squarish tent of brightly colored fabric, combining Braman's early interest in tipis/tents with her more recent fascination with containers of colored light.
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The building, a white squared parallelepiped with a red neon sign hung diagonally that read HIRING HALL, seemed one of those old notebooks my mother used at school and she would take out from a drawer to show me how they used to learn things in the analogic era.
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Also the whole parallelepiped has point symmetry Ci (see also triclinic). Each face is, seen from the outside, the mirror image of the opposite face. The faces are in general chiral, but the parallelepiped is not. A space-filling tessellation is possible with congruent copies of any parallelepiped.
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A perfect parallelepiped is a parallelepiped with integer-length edges, face diagonals, and body diagonals, but not necessarily with all right angles; a perfect cuboid is a special case of a perfect parallelepiped. In 2009, dozens of perfect parallelepipeds were shown to exist,. answering an open question of Richard Guy. Some of these perfect parallelepipeds have two rectangular faces.
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A parallelepiped is a three-dimensional figure whose six faces are parallelograms.
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The cross product is used in calculating the volume of a polyhedron such as a tetrahedron or parallelepiped.
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Reconstruction of Funtana Coberta Well It is composed of roughly parallelepiped-shaped limestone rocks, with a length of 10.60 m.
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It is a soft cheese, with 45-55% water. It has no crust, and is presented in vacuum-sealed parallelepiped packages.
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All tetrahedra can be inscribed in a parallelepiped. A tetrahedron is orthocentric if and only if its circumscribed parallelepiped is a rhombohedron. Indeed, in any tetrahedron, a pair of opposite edges is perpendicular if and only if the corresponding faces of the circumscribed parallelepiped are rhombi. If four faces of a parallelepiped are rhombi, then all edges have equal lengths and all six faces are rhombi; it follows that if two pairs of opposite edges in a tetrahedron are perpendicular, then so is the third pair, and the tetrahedron is orthocentric. A tetrahedron ABCD is orthocentric if and only if the sum of the squares of opposite edges is the same for the three pairs of opposite edges:Reiman, István, "International Mathematical Olympiad: 1976-1990", Anthem Press, 2005, pp. 175-176.
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A similar statement can be made in three dimensions for parallelepipeds. In this case you have a point P on the space diagonal of a parallelepiped, and instead of two parallel lines you have three planes through P, each parallel to the faces of the parallelepiped. The three planes partition the parallelepiped into eight smaller parallelepipeds; two of those surround the diagonal and meet at P. Now each of those two parallepipeds around the diagonal has three of the remaining six parallelepipeds attached to it, and those three play the role of the complements and are of equal volume (see diagram).
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A perfect parallelepiped is a parallelepiped with integer-length edges, face diagonals, and space diagonals. In 2009, dozens of perfect parallelepipeds were shown to exist,. answering an open question of Richard Guy. One example has edges 271, 106, and 103, minor face diagonals 101, 266, and 255, major face diagonals 183, 312, and 323, and space diagonals 374, 300, 278, and 272.
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The cheese is identified, apart from its cubic or parallelepiped shape, due to its typical brand with capital letters S C on its face.
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The three-dimensional counterpart of a parallelogram is a parallelepiped. The etymology (in Greek παραλληλ- όγραμμον, a shape "of parallel lines") reflects the definition.
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Any of the three pairs of parallel faces can be viewed as the base planes of the prism. A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length. Parallelepipeds result from linear transformations of a cube (for the non-degenerate cases: the bijective linear transformations). Since each face has point symmetry, a parallelepiped is a zonohedron.
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The volume of this parallelepiped is the absolute value of the determinant of the matrix formed by the columns constructed from the vectors r1, r2, and r3.
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The memoir of November 1817 bears the undated marginal note: "I have since replaced these two coupled prisms by a parallelepiped in glass." A dated reference to the parallelepiped form — the form that we would now recognize as a Fresnel rhomb — is found in a memoir which Fresnel read to the Academy on 30 March 1818, and which was subsequently lost until 1846.Kipnis, 1991, pp.207n,217n; Buchwald, 1989, p.
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The following examples show that a bivector in two dimensions measures the area of a parallelogram, and the magnitude of a bivector in three dimensions also measures the area of a parallelogram. Similarly, a three-vector in three dimensions measures the volume of a parallelepiped. It is easy to check that the magnitude of a three-vector in four dimensions measures the volume of the parallelepiped spanned by these vectors.
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The castle main body is a parallelepiped built in stone, with the ruins of a tower on a side. The main body hosts the Chapel of St Michael the Archangel.
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The smallest perfect parallelepiped has edges 271, 106, and 103; short face diagonals 101, 266, and 255; long face diagonals 183, 312, and 323; and body diagonals 374, 300, 278, and 272.
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"Roma Tiburtina Railway Station." meweng.com, Retrieved: 30 June 2018. It is an enclosed glazed parallelepiped structure, with a length of 240 metres, a width of 50 metres, and suspended 9 metres above ground level.
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As shown in the illustration, a triangle may be covered by three smaller copies of itself, and more generally in any dimension a simplex may be covered by n + 1 copies of itself, scaled by a factor of n/(n + 1). However, covering a square by smaller squares (with parallel sides to the original) requires four smaller squares, as each one can cover only one of the larger square's four corners. In higher dimensions, covering a hypercube or more generally a parallelepiped by smaller homothetic copies of the same shape requires a separate copy for each of the vertices of the original hypercube or parallelepiped; because these shapes have 2n vertices, 2n smaller copies are necessary. This number is also sufficient: a cube or parallelepiped may be covered by 2n copies, scaled by a factor of 1/2.
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Three vectors defining a parallelepiped The scalar triple product (also called the mixed product, box product, or triple scalar product) is defined as the dot product of one of the vectors with the cross product of the other two.
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The PoSAT-1 is a box of aluminum, in the form of a parallelepiped, 58 centimeters long, 35 centimeters wide, 35 centimeters depth and weighs 50 kilograms. Over a first drawer that contains the batteries and the remote detection module are stacked 10 other drawers full of electronic cards. At the top of the satellite there are sensors for attitude and the stabilization mast, essential tools for PoSAT-1 to maintain correct orbit. Four solar panels are mounted on the lateral sides of the structure of the satellite, forming a parallelepiped, which are the source of energy for all on-board systems.
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The term "box"/"hyperrectangle" comes from its usage in the Cartesian coordinate system, where it is indeed visualized as a rectangle (two-dimensional case), rectangular parallelepiped (three-dimensional case), etc. In the two- dimensional case it is called the minimum bounding rectangle.
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As a result of this event a large inflow of labour was observed in Baku, including from Dagestan. This mosque was used by Lezgin workers during religious ceremonies.Museums, Reserves, Galleries of Baku: Ashura Mosque — National Tourism Promotion Bureau, 2017. The shape of the Ashura Mosque is parallelepiped.
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The passenger building is constructed in an evidently Italian rationalist style typical of the stations designed by Narducci. It is shaped like a rectangular parallelepiped on two levels. At ground floor level, there are two large openings with rectangular sides. Upstairs, a large window illuminates and atrium inside the building.
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Rectangular parallelepiped. The line through segment AD and the line through segment B1B are skew lines because they are not in the same plane. fibration of projective space by skew lines on nested hyperboloids. In three- dimensional geometry, skew lines are two lines that do not intersect and are not parallel.
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An undated marginal note indicates that the two coupled prisms were later replaced by a single "parallelepiped in glass"—now known as a Fresnel rhomb. This was the memoir whose "supplement", dated January 1818, contained the method of superposing sinusoidal functions and the restatement of Malus's law in terms of amplitudes.
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There are rare truckles aged up to 36 months. Sometimes the crust is flavoured with marcs. The truckle has a parallelepiped shape with a plain squared side 11/13 cm or 17/19 cm long and a straight bowed side from 9 to 15 cm. The average weight spaces from .
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In crystallography, a fractional coordinate system is a coordinate system in which the edges of the unit cell are used as the basic vectors to describe the positions of atomic nuclei. The unit cell is a parallelepiped defined by the lengths of its edges a, b, c and angles between them \alpha, \beta, \gamma.
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Augustin-Jean Fresnel (1788–1827). As an engineer of bridges and roads, and as a proponent of the wave theory of light, Fresnel was still an outsider to the physics establishment when he presented his parallelepiped in March 1818. But he was increasingly difficult to ignore. In April 1818 he claimed priority for the Fresnel integrals.
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The crystal structure describes the three-dimensional periodic arrangement of atoms, ions, or molecules in a crystal. The unit cell represents the simplest repeating unit of the crystal structure. It is a parallelepiped containing a certain spatial arrangement of atoms, ions, molecules, or molecular fragments. From the unit cell the crystal structure can be fully reconstructed via translations.
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24 The vimana of the temple is a triratha with a distant semblance of a Pancharatha as evident from the projecting niches flanking the central projection. The bada of the vimana abruptly starts from the talapatna or pavement which consists of three elements instead of the usual five and encloses a parallelepiped instead of the usual cubic sanctum.
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The decomposable k-vectors have geometric interpretations: the bivector represents the plane spanned by the vectors, "weighted" with a number, given by the area of the oriented parallelogram with sides u and v. Analogously, the 3-vector represents the spanned 3-space weighted by the volume of the oriented parallelepiped with edges u, v, and w.
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There are two main types of unit cells: primitive unit cells and non-primitive unit cells. A primitive unit cell for a given Bravais lattice can be chosen in more than one way (each way having a different shape), but each way will have the same volume and each way will have the property that a one-to-one correspondence can be established between the primitive unit cells and the discrete lattice points. The obvious primitive cell to associate with a particular choice of primitive vectors is the parallelepiped formed by them. That is, the set of all points r of the form: Using the parallelepiped defined by the primitive vectors as the unit cell has the disadvantage in some cases of not clearly revealing the full symmetry of the lattice.
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The palace is entirely clad in travertine marble, as is characteristic of buildings in the EUR. It is a parallelepiped on a square base, with six levels rising above a podium. The scale is imposing: the base covers an area of 8,400 square meters, and the building has volume 205,000 cubic meters with a height 68 meters (50 meters from the base).
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The shape is a rectangular parallelepiped with the straight cheese side. The weight of a cheese wheel may span from to . The rind is thin and soft, white pinky in cheese at first ageing and grey-green reddish in the one more aged. The curd texture is cohesive, slightly gummy, possibly with few detachments, crumbly and it becomes more compact and soft as the ageing goes on.
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This method, now known as the rectangular parallelepiped resonance (RPR) method, was further extended by I. Ohno in 1976. Finally, at the end of eighties, A. Migliori and J. Maynard expanded the limits of the technique in terms of loading and low-level electronic measurements, and with W. Visscher brought the computer algorithms to their current state, introducing the final term resonant ultrasound spectroscopy (RUS).
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Fig. 2: Schematic of the two transducer resonant ultrasound spectroscopy set up. The most common method for detecting the mechanical resonant spectrum is illustrated in Fig. 2, where a small parallelepiped-shaped sample is lightly held between two piezoelectric transducers. One transducer is used to generate an elastic wave of constant amplitude and varying frequency, whereas the other is used to detect the sample's resonance.
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Some authors give a slightly different definition of IP sets: They require that FS(D) equal A instead of just being a subset. The term IP set was coined by Furstenberg and Weiss to abbreviate "infinite-dimensional parallelepiped". Serendipitously, the abbreviation IP can also be expanded to "idempotent" (a set is IP if and only if it is a member of an idempotent ultrafilter).
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A three-dimensional orthotope is also called a right rectangular prism, rectangular cuboid, or rectangular parallelepiped. A special case of an n-orthotope, where all edges are equal length, is the n-cube. By analogy, the term "hyperrectangle" or "box" refers to Cartesian products of orthogonal intervals of other kinds, such as ranges of keys in database theory or ranges of integers, rather than real numbers.See e.g. .
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Buchwald, 1989, p. 289. His final treatment of partial reflection and total internal reflection, read to the Académie in January 1823, was thought to be lost until it was rediscovered among the papers of the deceased Joseph Fourier (1768–1830), and was printed in 1831. Until then, it was known chiefly through an extract printed in 1823 and 1825. The memoir introducing the parallelepiped form of the Fresnel rhomb,Fresnel, 1818a.
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The word appears as parallelipipedon in Sir Henry Billingsley's translation of Euclid's Elements, dated 1570. In the 1644 edition of his Cursus mathematicus, Pierre Hérigone used the spelling parallelepipedum. The Oxford English Dictionary cites the present-day parallelepiped as first appearing in Walter Charleton's Chorea gigantum (1663). Charles Hutton's Dictionary (1795) shows parallelopiped and parallelopipedon, showing the influence of the combining form parallelo-, as if the second element were pipedon rather than epipedon.
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An alternative to the unit cell, for every Bravais lattice there is another kind of primitive cell called the Wigner–Seitz cell. In the Wigner–Seitz cell, the lattice point is at the center of the cell, and for most Bravais lattices, the shape is not a parallelogram or parallelepiped. This is a type of Voronoi cell. The Wigner–Seitz cell of the reciprocal lattice in momentum space is called the Brillouin zone.
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Aisles were opened with three arcades supported by parallelepiped pillars that grew out of the broader plinths with corniced head, culminating with similar cornice capitals. Two of the southern row of pillars have come down to this day. Both aisles were covered with a groin vault and were closed by a straight wall on the western side. The basilica's walls were 1 meter thick and were made from stones, which were put on lime mortar.
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They were the theme of the 1998 exhibition at the Musée Rodin in Paris. In the cycle of works titled Terre ("Lands") created starting from 1988, the earth sedimented in layers, as in its natural state, is enclosed in a transparent glass parallelepiped through which can be seen the imprint left by a gesture of the artist, the upheaval in the soil which preserves the image of the hand that caused it.
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Nicol made his prism by bisecting a parallelepiped of Iceland spar (a naturally occurring, transparent crystalline form of calcium carbonate) along its shortest diagonal, then cementing the two halves together with Canada balsam. Light entering the prism is refracted into two rays, one of which emerges as plane-polarized light. Nicol prisms greatly facilitated the study of refraction and polarization, and were later used to investigate molecular structures and optical activity of organic compounds.
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There are infinitely many honeycombs, which have only been partially classified. The more regular ones have attracted the most interest, while a rich and varied assortment of others continue to be discovered. The simplest honeycombs to build are formed from stacked layers or slabs of prisms based on some tessellations of the plane. In particular, for every parallelepiped, copies can fill space, with the cubic honeycomb being special because it is the only regular honeycomb in ordinary (Euclidean) space.
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Tour Eqho Tour Eqho (also known as Tour IBM, and Tour Descartes) is an office skyscraper located in La Défense business district situated west of Paris, France. Built in 1988, the tower, with a height of 130 meters, belongs to the third generation of towers in La Défense. The tower takes the shape of a parallelepiped in which a semi-cylinder would have been extruded on the main façade. Tour Descartes used to host the French headquarters of IBM Corporation until 2010.
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In ferroelastic crystals, in going from the nonferroic (or prototypic phase) to the ferroic phase, a spontaneous strain is induced. An example of a ferroelastic phase transition is when the crystal structure spontaneously changes from a tetragonal structure (a square prism shape) to a monoclinic structure (a general parallelepiped). Here the shapes of the unit cell before and after the phase transition are different, and hence a strain is induced within the bulk. In recent years a new class of ferroic materials has been attracting increased interest.
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Mahón cheese A local cheese is produced in Minorca: Mahón cheese. It features Denominación de Origen Protegida (Protected Demonination of Origin). It is pressed instead of boiled, and has a characteristic orange colourm, a parallelepiped shape, and rounded corners. It is made and matured only in Minorca, according to tradition and to the norms of the DO. In 1985, the definitive form of the Denomination of Origin was given as queso Mahón, and later, in 1998, the word Menorca was added, making the full name Mahón- Menorca.
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Symbolism of the Coat: The green shield represents agriculture. Aspa checker of red and gold, the combination of the patron saint (Santa Cruz) and colors of the arms of the baron Pombalinho (chess with gold, and the quote of Portocarreras loaded with pictures of red gold, the rocks), and a Roman pavement made recently discovered, with parallelepiped of various colors. Two doves in silver, outlined in the flanks, speaker element. Bunch of grapes silver, sheets of gold, to represent a source of wealth of the parish.
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Ground truth is important in the initial supervised classification of an image. When the identity and location of land cover types are known through a combination of field work, maps, and personal experience these areas are known as training sites. The spectral characteristics of these areas are used to train the remote sensing software using decision rules for classifying the rest of the image. These decision rules such as Maximum Likelihood Classification, Parallelepiped Classification, and Minimum Distance Classification offer different techniques to classify an image.
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By Euler's formula the numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formula F + V = E + 2\. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges. Along with the rectangular cuboids, any parallelepiped is a cuboid of this type, as is a square frustum (the shape formed by truncation of the apex of a square pyramid).
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Daunian stele, limestone grave marker (?), 610-550 BC A Daunian stele is a type of stone funerary monument constructed by the Daunians, an Iapygian tribe which inhabited Apulia in classical antiquity. Daunian stelae were made from the end of the 8th century BC to the 6th century BC. They consist of a parallelepiped-shaped plate, which protrudes from the upper head and decorated on all four sides. Sizes vary between 40 and 130 cm in height, and consequently, between 20 and 80 cm in width while the thickness is between 3 and 12 cm.
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This polyhedron can be constructed by truncating two opposite vertices of a cube, of a trigonal trapezohedron (a convex polyhedron with six congruent rhombus sides, formed by stretching or shrinking a cube along one of its long diagonals), or of a rhombohedron or parallelepiped (less symmetric polyhedra that still have the same combinatorial structure as a cube). In the case of a cube, or of a trigonal trapezohedron where the two truncated vertices are the ones on the stretching axes, the resulting shape has three-fold rotational symmetry.
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Noah Webster (1806) includes the spelling parallelopiped. The 1989 edition of the Oxford English Dictionary describes parallelopiped (and parallelipiped) explicitly as incorrect forms, but these are listed without comment in the 2004 edition, and only pronunciations with the emphasis on the fifth syllable pi () are given. A change away from the traditional pronunciation has hidden the different partition suggested by the Greek roots, with epi- ("on") and pedon ("ground") combining to give epiped, a flat "plane". Thus the faces of a parallelepiped are planar, with opposite faces being parallel.
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These shapes are rhomboids Traditionally, in two-dimensional geometry, a rhomboid is a parallelogram in which adjacent sides are of unequal lengths and angles are non-right angled. A parallelogram with sides of equal length (equilateral) is a rhombus but not a rhomboid. A parallelogram with right angled corners is a rectangle but not a rhomboid. The term rhomboid is now more often used for a rhombohedron or a more general parallelepiped, a solid figure with six faces in which each face is a parallelogram and pairs of opposite faces lie in parallel planes.
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Other two dimensional shapes than squares can be considered. The general case is to consider a design with N parts to be magic if the N parts are labeled with the numbers 1 through N and a number of identical sub-designs give the same sum. Examples include magic circles, magic rectangles, magic trianglesMagic Designs, Robert B. Ely III, Journal of Recreational Mathematics volume 1 number 1, January 1968 magic stars, magic hexagons, magic diamonds. Going up in dimension results in magic spheres, magic cylinders, magic cubes, magic parallelepiped, magic solids, and other magic hypercubes.
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This part of the project has been abandoned. Near Place d'Italie, Michel Holley has drawn the tower Antoine et Cléopâtre, one of the few not to be strictly parallelepiped-shaped. On the other side of the avenue, four towers and one groundscraper named after precious or semi-precious stones (Onyx, Beryl, Jade, Ruby) have been erected around a private garden built on the roof of the Italie 2 shopping mall (itself formerly known as Galaxie). An esplanade was supposed to cover the Avenue d'Italie, something which has finally been abandoned.
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In geometry, a cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube. While mathematical literature refers to any such polyhedron as a cuboid, other sources use "cuboid" to refer to a shape of this type in which each of the faces is a rectangle (and so each pair of adjacent faces meets in a right angle); this more restrictive type of cuboid is also known as a rectangular cuboid, right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped.
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More generally, the exterior product of any number k of vectors can be defined and is sometimes called a k-blade. It lives in a space known as the kth exterior power. The magnitude of the resulting k-blade is the volume of the k-dimensional parallelotope whose edges are the given vectors, just as the magnitude of the scalar triple product of vectors in three dimensions gives the volume of the parallelepiped generated by those vectors. The exterior algebra, or Grassmann algebra after Hermann Grassmann, introduced these as extended algebras (cf. ).
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RUS can be applied to a great range of samples sizes, with a minimum in the order or a few hundred micrometers, but for the measurement of mineral elasticity it is used on samples typically between 1 mm and 1 cm in size. The sample, either a fully dense polycrystalline aggregate or a single crystal, is machined in to a regular shape. Theoretically any sample shape can be used, but you obtain a substantial saving in computational time using rectangular parallelepiped resonators (RPR), spherical or cylindrical ones (less time savings with cylinders). Fig. 3: The sample assembly for a RUS variable-temperature measurement.
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The coat of arms reads: In gold an in-curved red point, therein a silver gate tower also on both sides following silver right parallelepiped wall; beseitet in front of a black three-blade clover sheet, in the back of a black grain flower bloom. Pinzberg consists of the municipalities Dobenreuth, Elsenberg, Gosberg and Pinzberg. All places are to be represented in the coat of arms. The tower is the landmark of Pinzberg and refers to the church tower, that at the same time serves as a gate tower of the cemetery attachment from the second half of 15th Century.
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' Vauxcelles, perhaps more so than his fellow critics, indulged in witty mockery of the salon Cubists: 'But in truth, what honor we do to these bipeds of the parallelepiped, to their lucubrations, cubes, succubi and incubi'. Vauxcelles was more than just skeptical. His comfort level had already been surpassed with the 1907 works of Matisse and Derain, which he perceived as perilous, 'an uncertain schematization, proscribing relief and volumes in the name of I know not what principle of pictorial abstraction.' His concerns deepened in 1909 as the work of Le Fauconnier, Delaunay, Gleizes and Metzinger emerged as a unifying force.
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' Vauxcelles, perhaps more so than his fellow critics, indulged in witty mockery of the salon Cubists: 'But in truth, what honor we do to these bipeds of the parallelepiped, to their lucubrations, cubes, succubi and incubi'. Vauxcelles was more than just skeptical. His comfort level had already been surpassed with the 1907 works of Matisse and Derain, which he perceived as perilous, 'an uncertain schematization, proscribing relief and volumes in the name of I know not what principle of pictorial abstraction.' His concerns deepened in 1909 as the work of Le Fauconier, Delaunay, Gleizes and Metzinger emerged as a unifying force.
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When an edge forms one of the two equal sides of its adjacent isosceles triangle faces, the six disphenoids surrounding the edge form a special type of parallelepiped called a trigonal trapezohedron. : 300px An orientation of the tetragonal disphenoid honeycomb can be obtained by starting with a cubic honeycomb, subdividing it at the planes x=y, x=z, and y=z (i.e. subdividing each cube into path-tetrahedra), then squashing it along the main diagonal until the distance between the points (0, 0, 0) and (1, 1, 1) becomes the same as the distance between the points (0, 0, 0) and (0, 0, 1).
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If the incident beam is linearly polarized at some other inclination, the emerging beam is elliptically polarized with one principal axis in the plane of reflection, and vice versa. The rhomb usually takes the form of a right parallelepiped — that is, a right parallelogram- based prism. If the incident ray is perpendicular to one of the smaller rectangular faces, the angle of incidence and reflection at the next face is equal to the acute angle of the parallelogram. This angle is chosen so that each reflection introduces a phase difference of 45° between the components polarized parallel and perpendicular to the plane of reflection.
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Aerial view of the citadel The Mongol invasion of 1241 prompted a surge in military construction in Transylvania, with wood and earthen defenses abandoned in favor of stone, assembled in haste and without much initial attention to artistic detail. At Câlnic, the citadel began as a residence for a Graf (count), one of the last such to be built in Transylvania. Around 1270, the nobleman Chyl de Kelling, whose family gave the village its German name, built a keep for his residence. The strong parallelepiped structure, with a ground floor and three floors for living space, came to be known as the Siegfried tower.
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In Catalan Construction ended in 2013, and the Design Museum of Barcelona opened its doors in 2014. The building consists of two parts: an underground one (using the level change caused by the urbanization of the Glories square) and one that emerges 14.50 meters above the ground. The latter is a parallelepiped bias cut with the same width as the Avila Street, acting as an indicator of the relationship between the Eixample streets and the Glòries square, without affecting the view of the large central park. The cover of the subway is a public space linked to the future project of the Plaça de les Glòries park.
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In 1839 Bernhard Cotta wrote about this in his comments on the geognostic map: "Vertical fissures and cracks cut through, often virtually at right angles, the horizontal layers and, as a result, parallelepiped bodies are formed, that have given rise to the description Quader Sandstone.".Bernhard Cotta: Erläuterungen zu Section VI der geognostischen Charte des Königreiches Sachsen und der angrenzenden Länderabtheilungen, oder: Geognostische Skizze der Gegend zwischen Neustadt, Bischoffswerda, Wittichenau, Rothenburg, Görlitz, Ostritz, Rumburg und Schluckenau. Arnoldische Buchhandlung, Dresden und Leipzig, 1839, p. 49–50. Quader is German for an ashlar or block of stone, hence the name "Square Sandstone" is also used in English.
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The church is an irregular plan, composed of two articulated bodies separated by a walkway, corresponding to the longitudinal church, formed by a single nave, presbytery, with chapel and sacristy along the left lateral facade and annexes opposite them. To the center is a large rock, and the main body of the college, in a simple rectangular design within the main courtyard. The facades are constructed in granite, with simple cornice and eaves. The main facade, oriented towards the west, includes main doorway consisting of Roman arch, with frame surmounted by frieze and double cornice, which is supported by two Corinthian-inspired columns decorated with cherubs, over parallelepiped plinths ornamented with geometric elements.
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The parallelepiped altar, in marble with diamond cross, consists of covered wood, plastered and painted in red, forming panels of acanthus in gold, interspersed with flowers and gold relief. From the presbytery two lateral painted doors provide access to the sacristy and the archive room (to the right and left of the altar, respectively). The sacristy is small and its walls painted white, with a painted chest, topped with painted backrest (laterally and frontally decorated with floral motifs and drapery). In the archive room, to the left, is a wardrobe (interiorly divided in two) with painted motifs, while between pillars is a rectangular lavabo with an arch of ashlar and double frieze below.
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The first expanded polystyrene ICF Wall forms were developed in the late 1960s with the expiration of the original patent and the advent of modern foam plastics by BASF. Canadian contractor Werner Gregori filed the first patent for a foam concrete form in 1966 with a block "measuring 16 inches high by 48 inches long with a tongue-and-groove interlock, metal ties, and a waffle-grid core." It is right to point out that a primordial form of ICF formwork dates back to 1907, as evidenced by the patent entitled “building-block”, inventor L. R. Franklin. This patent claimed a parallelepiped-shaped brick having a central cylindrical cavity, connected to the upper and lower faces by countersink.
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In 1952-53 he again returned to Europe and went to China in 1954. Between 1961 and 1974 Sérgio de Camargo remained in Paris, where he became a member of the Groupe de Recherche d’Art Visuel (GRAV) in 1963. During that period he concentrated on structuring monochrome white surfaces some in "Polyhedral Volumes of Mutable Readings" using parallelepiped shapes and others with cylindrical wooden reliefs, in both cases proposing the play of lights and shadows alternating between order and chaos, fullness and emptiness. As retold by Guy Brett, a curator and friend: “Cutting an apple to eat it, he sliced off nearly half and then made another cut at a different angle to take a piece out.
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Merkurov's creative method is close to the method of ancient sculptors because material dictates the form. He had to work with two blocks of granite of imperfect and difficult forms, which forced him to elongate proportions of the statue. Detail of the monument The square, where the monument is situated, is marked by sculptures of microscopes which resemble avant-garde architectones. The pedestal of the statue presents an arrangement of cubical forms: a large parallelepiped is placed on four smaller cubes, which lock into two displaced plates. On a pedestal there is a relief of the curve of assimilation dependence on sunlight, defined by Timiryazev in his work on plant physiology, and the inscription: «K. A. Timiryazev — warrior and thinker».
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The Museu Benfica – Cosme Damião is the museum of Portuguese sports club S.L. Benfica. Named after Cosme Damião, one of the club's founders in 1904, the museum was inaugurated on 26 July 2013 under the presidency of Luís Filipe Vieira and opened to the public on 29 July, one year and three months after the start of construction. Located near Benfica's stadium, the building occupies 4,000 square metres and is composed of three floors, which are accompanied by a huge vertical parallelepiped made of glass exhibiting roughly 500 trophies won by the club. The museum is split into 29 thematic areas containing around 1,000 pieces from a collection of 30,000, including trophies, documents, images, audio and video related to the history of Benfica, contextualised into domestic and international historic events of the 20th century.
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If A is a real m×n matrix, then det(A AT) is equal to the square of the m-dimensional volume of the parallelotope spanned in Rn by the m rows of A. Binet's formula states that this is equal to the sum of the squares of the volumes that arise if the parallelepiped is orthogonally projected onto the m-dimensional coordinate planes (of which there are \tbinom nm). In the case m = 1 the parallelotope is reduced to a single vector and its volume is its length. The above statement then states that the square of the length of a vector is the sum of the squares of its coordinates; this is indeed the case by the definition of that length, which is based on the Pythagorean theorem.
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It is divided into four parts by the two vertical corridors joining each other. Forms of different geometry are contained in each of the four parts that are created: a cylinder in the inside is a helix staircase, a prismatic roof, a quadrangular pyramid and a series of polygonal apertures on the roof of a parallelepiped protrusion on church’s wall. Materials: The structural form of the building is reinforced concrete, with undulating glass surfaces located on three of the four exterior faces, which were designed by Iannis Xenakis. The use of the light: The gradual path from the natural landscape to the interior of the sanctuary, where there is no iconographic representation rather than the view of natural light, is at the same time a continuous removal of the visual phenomena from "out" to "in".
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Its origins date back to the 17th and 18th centuries, when it was already possible to identify on some decorative truckles the cheese profile, which looks like a parallelepiped, with a thin crust and a pastry with very rare holes (called "occhiature") and straw-white colour. Salva has a close connection with the seasonal transhumance that the “bergamini” (shepherds from Bergamo) undertook with their cows, coming down from the villages in the valleys of Bergamo and Brescia towards farms in the plain in autumn and going back in spring. During these trips the milk overproduced, particurarly plentiful in spring, was transformed into "strachì da Salva", so that it could be preserved in the hot season. It seems that the warlord Bartolomeo Colleoni enjoyed this cheese so much that he had some truckles delivered during his military inspections at the fortificatios of Crema.
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A triangle can be covered by three smaller copies of itself; a square requires four smaller copies In combinatorial geometry, the Hadwiger conjecture states that any convex body in n-dimensional Euclidean space can be covered by 2n or fewer smaller bodies homothetic with the original body, and that furthermore, the upper bound of 2n is necessary if and only if the body is a parallelepiped. There also exists an equivalent formulation in terms of the number of floodlights needed to illuminate the body. The Hadwiger conjecture is named after Hugo Hadwiger, who included it on a list of unsolved problems in 1957; it was, however, previously studied by and independently, . Additionally, there is a different Hadwiger conjecture concerning graph coloring—and in some sources the geometric Hadwiger conjecture is also called the Levi–Hadwiger conjecture or the Hadwiger–Levi covering problem.
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The three rectangular chapels have pyramidal ceilings, walls plastered and painted in white and includes front door with straight lintel with aluminum doors, surmounted by inscribed marble plaques. On the chapel of St. Cajetan includes the inscription: :OFERTA DE MARIA ORFÃO 1991 S. CAETANO :Present from Maria Orfão 1991 St. Caetajan On the chapel of St. Blais the inscription: :EM MEMORIA DE JAIME CASTELO OFERTA DE SUA MÃE S. BRAZ :In memory of Jaime Castelo gift from his mother St. Blais Over the door of the chapel to St. Benedict: :Homenagem Amadeu e Maria Cunha :Memory of Amadeu and Maria Cunha Installed on a rectangular platform with step with smooth column, is a parallelepiped plinth and surmounted by cross. Half-way along the column is a ring, while a third is consolidated by a metallic ring.
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The first Tell el Kharayeb (“Hill of Ruins”) remains in Yanouh date back to the third millennium BCE; these include a town of about in diameter, surrounded by a defensive wall and a lower urban quarter extending towards the south of the site. Surrounding the hill are a number of rectangular underground tombs with walls built of carefully hewn parallelepiped blocks. From the 12th to the 4th century BCE the site witnessed significant agricultural and domestic development as manifested by archaeological artifacts found on site. Remnants of sandstone building from the second half of the 2nd century BCE were uncovered along with an Aramaic inscription belonging to the same Hellenistic period. The inscription is notable for being the earliest known Aramaic writing to be found on Lebanese soil; it mentions a “House of God” and was dated to around 110-109 BCE.
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For this placement of the segments, one vertex of the parallelohedron will itself be at the origin, and the rest will be at positions given by sums of certain subsets of these vectors. A parallelohedron with g vectors can in this way be parameterized by 3g coordinates, three for each vector, but only some of these combinations are valid (because of the requirement that certain triples of segments lie in parallel planes, or equivalently that certain triples of vectors are coplanar) and different combinations may lead to parallelohedra that differ only by a rotation, scaling transformation, or more generally by an affine transformation. When affine transformations are factored out, the number of free parameters that describe the shape of a parallelohedron is zero for a parallelepiped (all parallelepipeds are equivalent to each other under affine transformations), two for a hexagonal prism, three for a rhombic dodecahedron, four for an elongated dodecahedron, and five for a truncated octahedron.
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If three spheres are given, with their centers non-collinear, then their six centers of similitude form the six points of a complete quadrilateral, the four lines of which are called the axes of similitude. And if four spheres are given, with their centers non- coplanar, then they determine 12 centers of similitude and 16 axes of similitude, which together form an instance of the Reye configuration . The Reye configuration can also be realized by points and lines in the Euclidean plane, by drawing the three-dimensional configuration in three-point perspective. An 83122 configuration of eight points in the real projective plane and 12 lines connecting them, with the connection pattern of a cube, can be extended to form the Reye configuration if and only if the eight points are a perspective projection of a parallelepiped The 24 permutations of the points (\pm 1, \pm 1, 0, 0) form the vertices of a 24-cell centered at the origin of four-dimensional Euclidean space.
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A tetrahedron is a disphenoid if and only if its circumscribed parallelepiped is right-angled. We also have that a tetrahedron is a disphenoid if and only if the center in the circumscribed sphere and the inscribed sphere coincide.. Another characterization states that if d1, d2 and d3 are the common perpendiculars of AB and CD; AC and BD; and AD and BC respectively in a tetrahedron ABCD, then the tetrahedron is a disphenoid if and only if d1, d2 and d3 are pairwise perpendicular.. The disphenoids are the only polyhedra having infinitely many non-self-intersecting closed geodesics. On a disphenoid, all closed geodesics are non-self-intersecting.. The disphenoids are the tetrahedra in which all four faces have the same perimeter, the tetrahedra in which all four faces have the same area, and the tetrahedra in which the angular defects of all four vertices equal . They are the polyhedra having a net in the shape of an acute triangle, divided into four similar triangles by segments connecting the edge midpoints..
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