The walls and ceiling are covered with bundles of foot-long, gray, triangular prisms that absorb all sound and cancel any reverberations.
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As it turns out, the small hairs on their bodies are shaped like triangular prisms, allowing them to deflect sunlight as it bears down on them.
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" He added: "No photograph can convey the peculiar intricacy of space that it develops from what seems a simple formula of two skewed triangular prisms, one inside the other.
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On the floor, as high as your ankle and refracting the Baroque works on the walls, is an abstract construction of mirrored triangular prisms by the Antwerp artists Stéphane Schraenen and Carla Arocha — another work that produces drama through reflected light.
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There are 4 uniform compounds of triangular prisms: :Compound of four triangular prisms, compound of eight triangular prisms, compound of ten triangular prisms, compound of twenty triangular prisms.
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The octahedral prism consists of two octahedra connected to each other via 8 triangular prisms. The triangular prisms are joined to each other via their square faces.
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The tetrahedral prism is bounded by two tetrahedra and four triangular prisms. The triangular prisms are joined to each other via their square faces, and are joined to the two tetrahedra via their triangular faces.
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Toblerone is known for its distinctive shape, a series of joined triangular prisms.
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A set of more complex wooden blocks that includes cubes, planks, and triangular prisms.
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The 8 truncated cuboctahedra are joined to each other via their octagonal faces, in an arrangement corresponding to the 8 cubical cells of the tesseract. They are joined to the 16 truncated tetrahedra via their hexagonal faces, and their square faces are joined to the square faces of the 32 triangular prisms. The triangular faces of the triangular prisms are joined to the truncated tetrahedra. The truncated tetrahedra correspond with the tesseract's vertices, and the triangular prisms correspond with the tesseract's edges.
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The 8 small rhombicuboctahedral cells are joined to each other via their axial square faces. Their non-axial square faces, which correspond with the edges of a cube, are connected to the triangular prisms. The triangular faces of the small rhombicuboctahedra and the triangular prisms are connected to the 16 octahedra. Its structure can be imagined by means of the tesseract itself: the rhombicuboctahedra are analogous to the tesseract's cells, the triangular prisms are analogous to the tesseract's edges, and the octahedra are analogous to the tesseract's vertices.
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The 24 small rhombicuboctahedra are joined to each other via their triangular faces, to the cuboctahedra via their axial square faces, and to the triangular prisms via their off-axial square faces. The cuboctahedra are joined to the triangular prisms via their triangular faces. Each triangular prism is joined to two cuboctahedra at its two ends.
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Vertex figure for the bialternatosnub 16-cell The bialternatosnub 16-cell or runcic snub rectified 16-cell, constructed by removing alternating long rectangles from the octagons, but is also not uniform. Like the omnisnub tesseract, it has a highest symmetry construction of order 192, with 8 rhombicuboctahedra (with Th symmetry), 16 icosahedra (with T symmetry), 24 rectangular trapezoprisms (topologically equivalent to a cube but with D2d symmetry), 32 triangular prisms, with 96 triangular prisms (as Cs-symmetry wedges) filling the gaps. A variant with regular icosahedra and uniform triangular prisms has two edge lengths in the ratio of 1 : 2, and occurs as a vertex-faceting of the scaliform runcic snub 24-cell.
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The maximal cross-section of the runcinated 5-cell with a 3-dimensional hyperplane is a cuboctahedron. This cross-section divides the runcinated 5-cell into two tetrahedral hypercupolae consisting of 5 tetrahedra and 10 triangular prisms each.
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Two of the ten tetrahedral cells meet at each vertex. The triangular prisms lie between them, joined to them by their triangular faces and to each other by their square faces. Each triangular prism is joined to its neighbouring triangular prisms in anti orientation (i.e., if edges A and B in the shared square face are joined to the triangular faces of one prism, then it is the other two edges that are joined to the triangular faces of the other prism); thus each pair of adjacent prisms, if rotated into the same hyperplane, would form a gyrobifastigium.
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The runcinated tesseract may be constructed by expanding the cells of a tesseract radially, and filling in the gaps with tetrahedra (vertex figures), cubes (face prisms), and triangular prisms (edge figures). The same process applied to a 16-cell also yields the same figure.
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Smith enhanced the geometrical solution of four triangular prisms by adding another joint, resulting in a new form with seven triangular prisms enclosing two tetrahedra. After some time passed, he decided that the resulting form was something other than a design exercise, so titled it Throne because the symmetrical abstraction reminded him of the dense volume of an African beaded throne. Smith joined the faculty at Bennington College, Vermont. In 1960 a class project investigating close-packed cells based on D'Arcy Thompson's book Growth & Form (1918) sparked Smith's search for artistic inspiration in the natural world. The resulting agglomeration of 14-sided tetrakaidecahedrons, the ideally efficient soap-bubble cell, is known as the Bennington Structure.
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The infinite sets of uniform antiprismatic prisms are constructed from two parallel uniform antiprisms): (p≥2) - - 2 p-gonal antiprisms, connected by 2 p-gonal prisms and 2p triangular prisms. A p-gonal antiprismatic prism has 4p triangle, 4p square and 4 p-gon faces. It has 10p edges, and 4p vertices.
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Inside the ecological reserve stands the Sculptural Space. It is a big round natural solidified lava bed surrounded by many white triangular prisms that seem to radiate from its center, a bit like a sunflower. There are many big and colorful metallic sculptures made by contemporary artists surrounding this area, hence its name.
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The infinite sets of uniform antiprismatic prisms or antiduoprisms are constructed from two parallel uniform antiprisms: (p≥3) - - 2 p-gonal antiprisms, connected by 2 p-gonal prisms and 2p triangular prisms. A p-gonal antiprismatic prism has 4p triangle, 4p square and 4 p-gon faces. It has 10p edges, and 4p vertices.
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Daylight redirecting film is made of acrylic on a flexible polyester backing, one side coated with a pressure-sensitive adhesive (to make it peel-and-stick). There are two types of film. Some film is moulded with tiny triangular prisms, making a flexible peel-and-stick miniature prismatic panel. The prisms are joined at the edges into a sheet.
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The tower is the first green tower in Israel, and also the first to feature a double curtain wall system.Exclusive: The Incredible Hulk - The First Glimpse of the International Tower. Calcalist.co.il. Retrieved 2016-10-16. The design of the tower consists of 5 equilateral triangular prisms, set on top of each other at different heights, creating 3 large balconies for the building's occupants.
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This was a trait of the Melbourne Regional Style of the 1940s and 1950s. A balcony was located at either end of the house, at the height of the canopy of trees that hugged their way around the house. In essence, the McIntyre River Residence is a combination of basic geometric shapes. Two Triangular prisms form the striking elevation of the design and the rectangular plan of the house.
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120px Vertex figure for the omnisnub cubic antiprism Also related is the bialternatosnub octahedral hosochoron, constructed by removing alternating long rectangles from the octagons, but is also not uniform. It has 40 cells: 2 rhombicuboctahedra (with Th symmetry), 6 rectangular trapezoprisms (topologically equivalent to a cube but with D2d symmetry), 8 octahedra (as triangular antiprisms), 24 triangular prisms (as Cs-symmetry wedges) filling the gaps, and 48 vertices. It has [4,(3,2)+] symmetry, order 48.
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An edge connects these two vertices through the center of the projection. The prism may be divided into three non-uniform triangular prisms that meet at this edge; these 3 volumes correspond with the images of three of the four triangular prismic cells. The last triangular prismic cell projects onto the entire projection envelope. The edge-first orthographic projection of the tetrahedral prism into 3D space is identical to its triangular-prism-first parallel projection.
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The tetrahedron-first orthographic projection of the tetrahedral prism into 3D space has a tetrahedral projection envelope. Both tetrahedral cells project onto this tetrahedron, while the triangular prisms project to its faces. The triangular-prism-first orthographic projection of the tetrahedral prism into 3D space has a projection envelope in the shape of a triangular prism. The two tetrahedral cells are projected onto the triangular ends of the prism, each with a vertex that projects to the center of the respective triangular face.
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A nested triangles graph with 18 vertices In graph theory, a nested triangles graph with n vertices is a planar graph formed from a sequence of n/3 triangles, by connecting pairs of corresponding vertices on consecutive triangles in the sequence. It can also be formed geometrically, by gluing together n/3 − 1 triangular prisms on their triangular faces. This graph, and graphs closely related to it, have been frequently used in graph drawing to prove lower bounds on the area requirements of various styles of drawings.
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It consists of a revolving solid equilateral triangular prism made of wood. On each of its three faces, a different scene is painted, so that, by quickly revolving the periaktos, another face can appear to the audience. Other solid polygons can be used, such as cubes, but triangular prisms offer the best combination of simplicity, speed and number of scenes per device. A tabletop model of a set with two periaktoi A series of periaktoi positioned one after the other along the stage's depth can produce the illusion of a longer scene, composed by its faces as seen in perspective.
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3D model of a gyrobifastigium In geometry, the gyrobifastigium is the 26th Johnson solid (J26). It can be constructed by joining two face-regular triangular prisms along corresponding square faces, giving a quarter-turn to one prism.. It is the only Johnson solid that can tile three-dimensional space. It is also the vertex figure of the nonuniform p-q duoantiprism (if p and q are greater than 2). Despite the fact that p, q = 3 would yield a geometrically identical equivalent to the Johnson solid, it lacks a circumscribed sphere that touches all vertices, except for the case p = 5, q = 5/3, which represents a uniform great duoantiprism.
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Other proteins that contain beta helices include the antifreeze proteins from the beetle Tenebrio molitor (right-handed) and from the spruce budworm, Choristoneura fumiferana (left-handed), where regularly spaced threonines on the β-helices bind to the surface of ice crystals and inhibit their growth. Beta helices can associate with each other effectively, either face-to-face (mating the faces of their triangular prisms) or end-to-end (forming hydrogen bonds). Hence, β-helices can be used as "tags" to induce other proteins to associate, similar to coiled coil segments. Members of the pentapeptide repeat family have been shown to possess a quadrilateral beta- helix structure.
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Photograph of a triangular prism, dispersing light Lamps as seen through a prism In optics, a dispersive prism is an optical prism, usually having the shape of a geometrical triangular prism, used as a spectroscopic component. Spectral dispersion is the best known property of optical prisms, although not the most frequent purpose of using optical prisms in practice. Triangular prisms are used to disperse light, that is, to separate light into its spectral components (the colors of the rainbow). Different wavelengths (colors) of light will be deflected by the prism at different angles, producing a spectrum on a detector (or seen through an eyepiece).
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In the process of cantellation, a polytope's 2-faces are effectively shrunk. The rhombicuboctahedron can be called a cantellated cube, since if its six faces are shrunk in their respective planes, each vertex will separate into the three vertices of the rhombicuboctahedron's triangles, and each edge will separate into two of the opposite edges of the rhombicuboctahedrons twelve non-axial squares. When the same process is applied to the tesseract, each of the eight cubes becomes a rhombicuboctahedron in the described way. In addition however, since each cube's edge was previously shared with two other cubes, the separating edges form the three parallel edges of a triangular prism—32 triangular prisms, since there were 32 edges.
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These periaktoi must therefore be rotated simultaneously to a new position, thus achieving interesting illusions. This is made by coupling them by using sprocket gears at their bases and a flat chain or conveyor belt mechanical transmission system. A similar concept is used in some modern Trivision multi- message billboards, which are made up of a series of triangular prisms arranged so that they can be rotated to present three separate flat display surfaces in succession. Early motion picture mechanical devices, such as the praxinoscope, were also based on rapidly rotating solid polygons, which had the successive animation or photographic plates affixed or projected to each face, thus providing the optical illusion of movement.
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Triangular bifrustum The nested triangles graph with two triangles is the graph of the triangular prism, and the nested triangles graph with three triangles is the graph of the triangular bifrustum. More generally, because the nested triangles graphs are planar and 3-vertex- connected, it follows from Steinitz's theorem that they all can be represented as convex polyhedra. An alternative geometric representation of these graphs may be given by gluing triangular prisms end-to-end on their triangular faces; the number of nested triangles is one more than the number of glued prisms. However, using right prisms, this gluing process will cause the rectangular faces of adjacent prisms to be coplanar, so the result will not be strictly convex.
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In a Hanner polytope, every two opposite facets are disjoint, and together include all of the vertices of the polytope, so that the convex hull of the two facets is the whole polytope.. As a simple consequence of this fact, all facets of a Hanner polytope have the same number of vertices as each other (half the number of vertices of the whole polytope). However, the facets may not all be isomorphic to each other. For instance, in the octahedral prism, two of the facets are octahedra, and the other eight facets are triangular prisms. Dually, in every Hanner polytope, every two opposite vertices touch disjoint sets of facets, and together touch all of the facets of the polytope.
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Many themed versions are being published, along with new themed versions every year or two. In the first editions, the playing pieces were wooden cubes (one set each of black, blue, green, pink, red and yellow) representing one troop each and a few rounded triangular prisms representing ten troops each, but in later versions of the game these pieces were molded of plastic to reduce costs. In the 1980s, these were changed to pieces shaped into the Roman numerals I, III, V, and X. The 1993 edition introduced plastic infantry tokens (representing a single unit), cavalry (representing five units), and artillery (representing ten units). The 40th Anniversary Collector's Edition contained the same troop pieces but made of metal rather than plastic.
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