The hills and lochs of Assynt, for instance, tessellate in shapes "like Euclidian art".
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Unlike hexagons, however, regular pentagons cannot be built from equilateral triangles, nor can they tessellate a plane: When slid next to each other to tile a surface, gaps and overlaps inevitably arise.
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These diamonds continued to tessellate to an infinite point and I felt as though I were suspended above this expanse, hanging like a figure head hangs off the bow of a ship.
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Those in the first class, such as quasicrystals—bizarre solids whose interlocked atoms follow no repeating pattern, yet tessellate space—appear to be hyperuniform upon reaching equilibrium, the stable configuration that particles settle into of their own accord.
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The students of CMI organize an annual inter-collegiate student festival Tessellate (earlier known as Fiesta, renamed in 2018), supported by corporations, IT companies, and local businesses. Tessellate enjoys participation from students of several Chennai-based colleges including IIT Madras, SRM Institute of Science and Technology, Sathyabama University, KCG College of Technology. Tessellate comprises academic, cultural, technical and sports events. From 2018, Tessellate also includes a social initiative for the benefit of the underprivileged in Chennai.
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Tylenchorhynchus claytoni (Tobacco stunt nematode, tessellate stylet nematode) is a plant pathogenic nematode.
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Insara tessellata, the tessellate bush katydid, is a species of phaneropterine katydid in the family Tettigoniidae. It is found in North America.
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Oliva tessellata, common name the tessellate olive, is a species of sea snail, a marine gastropod mollusk in the family Olividae, the olives.
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Tonna tessellata, the mosaic tun,tessellate tun or maculated tun, is a species of large sea snail, a marine gastropod mollusk in the family Tonnidae.
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This problem is closely related to the einstein problem, of whether there exists a shape that can tessellate space, but only in a nonperiodic way.
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A music video to accompany the release of "Tessellate" was first released on YouTube on 9 July 2012.alt-J - Tessellate [OFFICIAL VIDEO. YouTube The video was directed by Ben NewburyAgent's website director file on blackdogfilms.com and is an artistic reworking of the famous painting The School of Athens by Raphael, using 21st century characters in a room similar to the painting's background (Panthéon, in Paris).
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The laced moray (Gymnothorax favagineus), also known as the leopard moray, tessellate moray or honeycomb moray, is a species of marine fish in the family Muraenidae.
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The gyrobifastigium topology exists in a tetragonal disphenoid with its lateral faces divided on the plane of symmetry which with specific proportions can tessellate 3-space.
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Nebularia incompta, common name : the tessellate mitre, is a species of sea snail, a marine gastropod mollusk in the family Mitridae, the miters or miter snails.
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Regular tetrahedra alone do not tessellate (fill space), but if alternated with regular octahedra in the ratio of two tetrahedra to one octahedron, they form the alternated cubic honeycomb, which is a tessellation. Some tetrahedra that are not regular, including the Schläfli orthoscheme and the Hill tetrahedron, can tessellate. The regular tetrahedron is self-dual, which means that its dual is another regular tetrahedron. The compound figure comprising two such dual tetrahedra form a stellated octahedron or stella octangula.
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Joe Newman with alt-J at The Empty Bottle, Chicago, in October 2012 After graduating, the band moved to Cambridge where they spent several months working on their music before signing a deal with Infectious Music in December 2011. Their self-titled 4-track demo EP, ∆, was recorded with producer Charlie Andrew in London and featured the tracks "Breezeblocks", "Hand-Made", "Matilda", and "Tessellate". A 7" single containing "Bloodflood" and "Tessellate" was released by Loud and Quiet in October 2011.Listing for the Bloodflood/Tessallate 7" single on Discogs.
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The sutural cingula are elevated, subundulate, spirally striate, and pallidly tessellate. The base of the shell is a little convex. It is covered with about 16 subgranose alternately larger and more delicate riblets. The umbilicus is narrow, surrounded by a white plate.
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The shell grows to a length of 75 mm. The solid, imperforate shell has an ovate- conic shape. Its color pattern is dirty white or greenish, maculate or tessellate with dark. The six whorls are convex, rounded, more or less angular around the upper part.
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This shader takes as its input some vertices of a primitive (triangle/line/point) and uses this data to generate/degenerate (or tessellate) additional primitives or to change the type of primitives, which are each then sent to the rasterizer. D3D11.3 and D3D12 introduced Shader Model 5.1 and later 6.0.
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"Tessellate" is a song by English indie rock band alt-J from their debut studio album, An Awesome Wave (2012). The song was written by Joe Newman, Gus Unger-Hamilton, Gwilym Sainsbury and Thom Green and produced by Charlie Andrew. It was released on 13 July 2012 as the album's third single.
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Escher's solid can tessellate space in the stellated rhombic dodecahedral honeycomb. Six solids meet at each vertex. This honeycomb is cell-transitive, edge-transitive and vertex-transitive. Tesselation of space with Escher's solids The Yoshimoto Cube, a dissection puzzle between a cube and two copies of Escher's solid, is closely related to this tessellation.
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The classical convex polytopes may be considered tessellations, or tilings, of spherical space. Tessellations of euclidean and hyperbolic space may also be considered regular polytopes. Note that an 'n'-dimensional polytope actually tessellates a space of one dimension less. For example, the (three-dimensional) platonic solids tessellate the 'two'-dimensional 'surface' of the sphere.
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Euxoa tessellata, the tessellate dart or striped cutworm is a moth of the family Noctuidae. It is the most widespread Euxoa-species in North America. It is found from Newfoundland to Alaska, south in the west to California, Arizona, New Mexico, south in the east to Florida. It seems to be absent from Texas and adjacent eastern states.
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"Bloodflood" is the first single by English indie rock band alt-J released in October 2011 through Loud and Quiet Recordings on 7" vinyl as a double A-side single with "Tessellate". The single was limited to 300 copies. It was later put on their debut album An Awesome Wave. A second part called "Bloodflood pt.
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After the vertex information, at least one element must be included. Each volume encapsulates a closed volume of the object, Multiple volumes can be specified in a single object. Volumes may share vertices at interfaces but may not have any overlapping volume. Within each volume, the child element is used to define triangles that tessellate the surface of the volume.
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The height of the shell varies between 12½ mm and 15 mm, its diameter between 15 mm and 17 mm. The conical shell is carinated at the periphery and deeply umbilicated. It is painted with crimson and brown radiating bifurcating stripes above, the apical whorls crimson. The base of the shell is convex, radiately strigate or finely tessellate with brown.
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In 2013, "Tessellate" was covered by English singer and songwriter Ellie Goulding on the deluxe edition of Halcyon Days, the reissue of her second studio album, Halcyon. English indie folk band Mumford & Sons also covered the song on BBC Radio 1's Live Lounge on 25 September 2012; their version was included on the compilation album BBC Radio 1's Live Lounge 2013.
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One can tessellate 4-dimensional Euclidean space by regular 16-cells. This is called the 16-cell honeycomb and has Schläfli symbol {3,3,4,3}. Hence, the 16-cell has a dihedral angle of 120°. Each 16-cell has 16 neighbors with which it shares a tetrahedron, 24 neighbors with which it shares only an edge, and 72 neighbors with which it shares only a single point.
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Certain shapes of tiles, most obviously rectangles, can be replicated to cover a surface with no gaps. These shapes are said to tessellate (from the Latin tessella, 'tile') and such a tiling is called a tessellation. Geometric patterns of some Islamic polychrome decorative tilings are rather complicated (see Islamic geometric patterns and, in particular, Girih tiles), even up to supposedly quaziperiodic ones, similar to Penrose tilings.
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Elephant Shell is the first LP to be released by Tokyo Police Club. It was released in the United States, Canada and Australia on April 22, 2008 on Saddle Creek Records, and in the United Kingdom and Continental Europe on May 5, 2008. "In a Cave", "Juno", and "Tessellate" have been posted on the band's official MySpace. The album was leaked on the internet on March 7, 2008.
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Alt-J performed "Buffalo" along with Mountain Man for the 2011 film Silver Linings Playbook. In February 2013 the band announced they would be composing the soundtrack for Toby Jones' new film Leave to Remain. Their song "Every Other Freckle" was featured on the Netflix show Lovesick, in the season 1 episode "Cressida", in 2014. In 2014, their song "Tessellate" was featured on Sons of Anarchy, episode 5, season 6.
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The dual to the cubic pyramid is an octahedral pyramid, seen as an octahedral base, and 8 regular tetrahedra meeting at an apex. :160px A cubic pyramid of height zero can be seen as a cube divided into 6 square pyramids along with the center point. These square pyramid-filled cubes can tessellate three-dimensional space as a dual of the truncated cubic honeycomb, called a hexakis cubic honeycomb, or pyramidille.
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The Klein quartic can be obtained as the quotient of the hyperbolic plane by the action of a Fuchsian group. The fundamental domain is a regular 14-gon, which has area 8\pi by the Gauss- Bonnet theorem. This can be seen in the adjoining figure, which also includes the 336 (2,3,7) triangles that tessellate the surface and generate its group of symmetries. The fundamental domain of the Klein quartic.
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The original motivation for studying zonohedra is that the Voronoi diagram of any lattice forms a convex uniform honeycomb in which the cells are zonohedra. Any zonohedron formed in this way can tessellate 3-dimensional space and is called a primary parallelohedron. Each primary parallelohedron is combinatorially equivalent to one of five types: the rhombohedron (including the cube), hexagonal prism, truncated octahedron, rhombic dodecahedron, and the rhombo-hexagonal dodecahedron.
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The omnitruncated 8-simplex is the permutohedron of order 9. The omnitruncated 8-simplex is a zonotope, the Minkowski sum of nine line segments parallel to the nine lines through the origin and the nine vertices of the 8-simplex. Like all uniform omnitruncated n-simplices, the omnitruncated 8-simplex can tessellate space by itself, in this case 8-dimensional space with three facets around each ridge. It has Coxeter-Dynkin diagram of .
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The omnitruncated 7-simplex is the permutohedron of order 8. The omnitruncated 7-simplex is a zonotope, the Minkowski sum of eight line segments parallel to the eight lines through the origin and the eight vertices of the 7-simplex. Like all uniform omnitruncated n-simplices, the omnitruncated 7-simplex can tessellate space by itself, in this case 7-dimensional space with three facets around each ridge. It has Coxeter-Dynkin diagram of .
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An Awesome Wave is the debut album by English indie rock band alt-J, released on 25 May 2012 through Infectious. The album includes the singles "Matilda"/"Fitzpleasure", "Breezeblocks" and "Tessellate". It peaked at number thirteen on the UK Albums Chart, and also charted in Belgium, France, Netherlands and Switzerland. An Awesome Wave won the 2012 British Barclaycard Mercury Prize, and in 2013 was named Album of the Year at the Ivor Novello Awards.
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The length of the shell varies between 25 mm and 86 mm. The short, solid, imperforate shell has an ovate-conic shape with a conic spire. Its color pattern is olivaceous, green, brown or grayish, longitudinally strigate or tessellate with white. The five whorls are generally angulate and nodose at the shoulder, with a varying number of coarse subnodose revolving carinae and of intermediate lirulae upon the median and lower portions of the body whorl.
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To celebrate 5 years of Loud And Quiet, a small record label arm of the company was created in 2010 for the release of 'I AM V', a compilation featuring selected bands from past issues of the magazine. These included Health, Metronomy, Gold Panda and Telepathe. In October 2011, Loud And Quiet Recordings released 'Bloodflood / Tessellate' the début single by Alt-J (∆) who were later nominated for and won Mercury Prize in 2012.
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The omnitruncated 6-simplex is the permutohedron of order 7. The omnitruncated 6-simplex is a zonotope, the Minkowski sum of seven line segments parallel to the seven lines through the origin and the seven vertices of the 6-simplex. Like all uniform omnitruncated n-simplices, the omnitruncated 6-simplex can tessellate space by itself, in this case 6-dimensional space with three facets around each hypercell. It has Coxeter-Dynkin diagram of .
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Inscribing tetrahedra inside the regular compound of five cubes gives two more regular compounds, containing five and ten tetrahedra. Regular tetrahedra cannot tessellate space by themselves, although this result seems likely enough that Aristotle claimed it was possible. However, two regular tetrahedra can be combined with an octahedron, giving a rhombohedron that can tile space. However, several irregular tetrahedra are known, of which copies can tile space, for instance the disphenoid tetrahedral honeycomb.
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The omnitruncated 5-cell honeycomb can tessellate 4-dimensional space by translational copies of this cell, each with 3 hypercells around each face. This honeycomb's Coxeter diagram is .George Olshevsky, Uniform Panoploid Tetracombs, manuscript (2006): Lists the tessellation as [140 of 143] Great-prismatodecachoric tetracomb (Omnitruncated pentachoric 4d honeycomb) Unlike the analogous honeycomb in three dimensions, the bitruncated cubic honeycomb which has three different Coxeter group Wythoff constructions, this honeycomb has only one such construction.
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In 2012, alt-J's debut album won the British Mercury Prize. alt-J were also nominated for three Brit Awards (British Breakthrough Act, British Album of the Year and British Group of the Year). An Awesome Wave was announced as BBC Radio 6 Music Album of the Year 2012. Three of the tracks from this album gained entry into the Australian 2012 Triple J Hottest 100, with "Something Good" at number 81, "Tessellate" at number 64, and "Breezeblocks" coming third overall.
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In geometry, the first stellation of the rhombic dodecahedron is a self- intersecting polyhedron with 12 faces, each of which is a non-convex hexagon. It is a stellation of the rhombic dodecahedron and has the same outer shell and the same visual appearance as two other shapes: a solid, Escher's solid, with 48 triangular faces, and a polyhedral compound of three flattened octahedra with 24 overlapping triangular faces. Escher's solid can tessellate space to form the stellated rhombic dodecahedral honeycomb.
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In 2016, their song "Left Hand Free" was featured in the Marvel Cinematic Universe film Captain America: Civil War. In 2018, their songs "Tessellate" and "In Cold Blood" are the opening and ending respectively of the anime Ingress, based on the AR game created for Niantic: Ingress. In 2019, their songs "Breezeblocks" and "In Cold Blood" were featured on the Netflix series Daybreak, episodes 5 and 10 respectively. In 2020, their song “Left Hand Free” was featured in the Netflix series Outer Banks (TV series).
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Tessellation by two sizes of Koch snowflake It is possible to tessellate the plane by copies of Koch snowflakes in two different sizes. However, such a tessellation is not possible using only snowflakes of one size. Since each Koch snowflake in the tessellation can be subdivided into seven smaller snowflakes of two different sizes, it is also possible to find tessellations that use more than two sizes at once.. Koch snowflakes and Koch antisnowflakes of the same size may be used to tile the plane.
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Therefore, the broader term displacement is often used today to refer to a super concept that also includes displacement based on a texture map. Renderers using the REYES algorithm, or similar approaches based on micropolygons, have allowed displacement mapping at arbitrary high frequencies since they became available almost 20 years ago. The first commercially available renderer to implement a micropolygon displacement mapping approach through REYES was Pixar's PhotoRealistic RenderMan. Micropolygon renderers commonly tessellate geometry themselves at a granularity suitable for the image being rendered.
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Goulding contributed a track titled "Bittersweet" (produced by Skrillex) to the soundtrack of The Twilight Saga: Breaking Dawn – Part 2, released on 13 November 2012. It was announced on 12 February 2013, that in May 2013, she would be supporting Bruno Mars on his Moonshine Jungle World Tour on selected dates. On 20 May 2013, Goulding announced she would embark on a seven-date tour in the UK during October that year. On 28 May 2013, Goulding's cover of Alt-J's song "Tessellate" was released via her SoundCloud page.
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Amsinckia tessellata is a species of fiddleneck known by the common names bristly fiddleneck, tessellate fiddleneck, checker fiddleneck, and devil's lettuce. The plant is native to dry regions of western North America, more specifically eastern Washington and Idaho, much of California and the Great Basin, to southwest New Mexico (U.S.) and northwest Sonora and Baja California in Mexico, usually below elevation. It is a common plant in many types of habitats, including chaparral, oak woodland, xeric scrub, temperate valleys, disturbed areas, and deserts including the Mojave Desert and Sonoran Desert.
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S.T.E.M.S. (Scholastic Test of Excellence in Mathematical Sciences) Also, as a part of Tessellate, a nationwide contest called S.T.E.M.S. (Scholastic Test of Excellence in Mathematical Sciences) is organised for students from 8th grade to Final year UG in different categories for the subjects: Mathematics, Physics and Computer Science. Toppers get to win exciting prizes and are invited to a fully funded 3-day camp at CMI. The exam is known for its interesting and original (sometimes notorious) questions among the students. Generally, the question paper comprises an objective section followed by a subjective section.
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On April 19, 2007, Tokyo Police Club made their first US TV performance on the Late Show with David Letterman. They played their single "Nature of the Experiment", along with a tambourine accompaniment by the CBS Orchestra. A year later the band made a second appearance on the Late Show with David Letterman, performing the lead single "Tessellate" off their debut LP Elephant Shell. On November 16, 2008 they appeared on the television show "Desperate Housewives" in the episode "City on Fire" as "Cold Splash", a band competing in a battle-of-the-bands contest.
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Rhombitriheptagonal tiling of the hyperbolic plane, seen in the Poincaré disk model Like the Euclidean plane it is also possible to tessellate the hyperbolic plane with regular polygons as faces. There are an infinite number of uniform tilings based on the Schwarz triangles (p q r) where 1/p + 1/q + 1/r < 1, where p, q, r are each orders of reflection symmetry at three points of the fundamental domain triangle, the symmetry group is a hyperbolic triangle group. There are also infinitely many uniform tilings that cannot be generated from Schwarz triangles, some for example requiring quadrilaterals as fundamental domains.
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Langdon was also influenced greatly by the Taoist graphic symbol yin/yang, and the graphic work of M.C. Escher — both black and white representations of concepts that encourage viewing things from more than a single point of view. Unhappy with marginal success at designing words that would tessellate a plane like Escher's birds and fish, Langdon's discovery of the NEW MAN and VISTA logos (by Raymond Loewy and Dick Hess, respectively), which featured rotational symmetry, steered him in the direction of what later became known as ambigrams. The blend of his Taoist philosophy with ambigrams resulted in the 1992 publication of his book Wordplay.
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BuroHappold Engineering provided multidisciplinary engineering services across the project, including structural engineering, geotechnical engineering, energy and environmental consultancy, water engineering, facade engineering, lighting design, people movement consultancy, security services and inclusive design. Their structural engineers realised the "floating dome" from 7,850 aluminium stars of varying sizes, which tessellate over eight layers to create a perforated roof structure that allows sunlight through to the spaces below. A team of specialist geotechnical and water engineers designed a watertight basement and tidal pools within the galleries to give the illusion of a "museum in the sea" while protecting artwork, artefacts and visitors from the corrosive marine environment.
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The Basilica of Our Lady (Maastricht), whose enneahedral tower tops form a space-filling polyhedron. Slicing a rhombic dodecahedron in half through the long diagonals of four of its faces results in a self-dual enneahedron, the square diminished trapezohedron, with one large square face, four rhombus faces, and four isosceles triangle faces. Like the rhombic dodecahedron itself, this shape can be used to tessellate three-dimensional space.. An elongated form of this shape that still tiles space can be seen atop the rear side towers of the 12th-century Romanesque Basilica of Our Lady (Maastricht). The towers themselves, with their four pentagonal sides, four roof facets, and square base, form another space-filling enneahedron.
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It follows that the intersections of al such segments occur at the same point. Translating that point to the origin, it follows that the polygon is centrally symmetric; that is, if a point z is in the polygon, so too is −z. It is easy to see translates of a centrally symmetric convex hexagon tessellate the plane. If A is a point of the hexagon, then the lattice is generated by the displacement vectors AB and AC where B and C are the two vertices which are not neighbours of A and not opposite A. Indeed, the second picture shows how the hexagon is equivalent to the parallelogram obtained by displacing the two triangles chopped off by the segments AB and AC. Equally well the first picture shows another way of matching a tiling by parallelograms with the hexagonal tiling.
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