95 Sentences With "triangular prism" | Random Sentence Generator

The bulky and oddly shaped triangular prism case was tough to fit in bags and impossible to get in your pocket.

In Tilt Brush, I just walked around and drew a rough cube and triangular prism in three dimensions, which turns out to be significantly easier.

GSMArena notes that the images show a wireless charging stand that's included with the phone alongside a typical range of accessories, all housed within a neat triangular prism-shaped package.

The Wave is tall triangular prism with curved sides, covered nearly edge to edge in a woven black and white fabric that makes it look like the outside of a speaker.

Meanwhile, the Shield TV Pro&aposs remote is a little more distinct, with a unique triangular prism shape, motion-activated backlit buttons for basic controls, a single shortcut for Netflix, and a microphone for voice control.

The Nvidia Shield TV Pro&aposs remote, on the other hand, is a bit larger and features a unique triangular prism shape, motion-activated backlit buttons for basic controls, a single shortcut for Netflix, and a microphone for voice control.

Mr. Sonnier slathered a cylinder, a cube, a triangular prism, and panes of glass and plywood in Day-Glo fluorescent paints, and the luminescent pigments of blue, orange and hot pink stain the environment and clump where the solids meet the floor.

Back in 1966, for his M.F.A. thesis show at Rutgers, Mr. Sonnier presented postminimal sculptures with inflatable components, one of which sits on the floor here: a plywood triangular prism, painted a matte lilac, is attached via a flexible duct pipe to a linen bag that takes the same shape when inflated by a whining fan on a timer.

In geometry, the biaugmented triangular prism is one of the Johnson solids (J50). As the name suggests, it can be constructed by augmenting a triangular prism by attaching square pyramids (J1) to two of its equatorial faces. It is related to the augmented triangular prism (J49) and the triaugmented triangular prism (J51).

3D model of a (uniform) triangular prism In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides. Equivalently, it is a polyhedron of which two faces are parallel, while the surface normals of the other three are in the same plane (which is not necessarily parallel to the base planes).

In geometry, the triaugmented triangular prism, tetracaidecadeltahedron, or tetrakis triangular prism is one of the Johnson solids (J51). Each of its 14 faces is an equilateral triangle, making it a deltahedron. As the name suggests, it can be constructed by attaching equilateral square pyramids (J1) to each of the three equatorial faces of the triangular prism.

The triangular prism is first in a dimensional series of semiregular polytopes. Each progressive uniform polytope is constructed vertex figure of the previous polytope. Thorold Gosset identified this series in 1900 as containing all regular polytope facets, containing all simplexes and orthoplexes (equilateral triangles and squares in the case of the triangular prism). In Coxeter's notation the triangular prism is given the symbol −121.

For example, the rectified 5-cell has a vertex figure as a triangular prism.

In geometry, the augmented triangular prism is one of the Johnson solids (J49). As the name suggests, it can be constructed by augmenting a triangular prism by attaching a square pyramid (J1) to one of its equatorial faces. The resulting solid bears a superficial resemblance to the gyrobifastigium (J26), the difference being that the latter is constructed by attaching a second triangular prism, rather than a square pyramid. It is also the vertex figure of the nonuniform 2-p duoantiprism (if p is greater than 2).

A regular tetrahedron or tetragonal disphenoid can be dissected into two halves with a central square. Each half is a topological triangular prism.

A right triangular prism is semiregular or, more generally, a uniform polyhedron if the base faces are equilateral triangles, and the other three faces are squares. It can be seen as a truncated trigonal hosohedron, represented by Schläfli symbol t{2,3}. Alternately it can be seen as the Cartesian product of a triangle and a line segment, and represented by the product {3}x{}. The dual of a triangular prism is a triangular bipyramid.

A triangular prism has 6 vertices, 9 edges, bounded by 2 triangular and 3 quadrilateral faces. The advantage with this type of layer is that it resolves boundary layer efficiently.

In chemistry, the trigonal prismatic molecular geometry describes the shape of compounds where six atoms, groups of atoms, or ligands are arranged around a central atom, defining the vertices of a triangular prism.

The 5-cell is self-dual, and its vertex figure is a tetrahedron. Its maximal intersection with 3-dimensional space is the triangular prism. Its dihedral angle is cos−1(), or approximately 75.52°.

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.

The "Sexual Diversity Monument" in Montevideo. In the centre is a triangular prism, reading: Honrar la diversidad es honrar la vida. Montevideo por el respeto a todo género de identidad y orientación sexual. Año 2005.

The three- dimensional associahedron K5 is an enneahedron topologically equivalent to the order-4 truncated triangular bipyramid with nine faces (three squares and six pentagons) and fourteen vertices, and its dual is the triaugmented triangular prism.

The 421 polytope is last in a family called the k21 polytopes. The first polytope in this family is the semiregular triangular prism which is constructed from three squares (2-orthoplexes) and two triangles (2-simplexes).

Sólido de Johnson J₁₄ In geometry, the elongated triangular bipyramid (or dipyramid) or triakis triangular prism is one of the Johnson solids (J14), convex polyhedra whose faces are regular polygons. As the name suggests, it can be constructed by elongating a triangular bipyramid (J12) by inserting a triangular prism between its congruent halves. The nirrosula, an African musical instrument woven out of strips of plant leaves, is made in the form of a series of elongated bipyramids with non-equilateral triangles as the faces of their end caps..

The bubble point and dew point data would become curved surfaces inside a triangular prism, which connect the three boiling points on the vertical temperature "axes". Each face of this triangular prism would represent a two-dimensional boiling-point diagram for the corresponding binary mixture. Due to their three-dimensional complexity, such boiling-point diagrams are rarely seen. Alternatively, the three- dimensional curved surfaces can be represented on a two-dimensional graph by the use of curved isotherm lines at graduated intervals, similar to iso- altitude lines on a map.

The triangular prism is the smallest graph for which one of its degeneracy orderings leads to a non-optimal coloring, and the square antiprism is the smallest graph that cannot be optimally colored using any of its degeneracy orderings.

Access to the house is afforded by a cylindrical staircase that pushes up through the triangular prism that balances the extents of the house either side of it. Colour and carefully placed windows then afford the house a definitively organic quality.

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).

These two honeycombs, and three others using the ideal cuboctahedron, triangular prism, and truncated tetrahedron, arise in the study of the Bianchi groups, and come from cusped manifolds formed as quotients of hyperbolic space by subgroups of Bianchi groups. The same manifolds can also be interpreted as link complements.

Click here for an animated version. The Herschel graph is planar and 3-vertex- connected, so it follows by Steinitz's theorem that it is a polyhedral graph: there exists a convex polyhedron (an enneahedron) having the Herschel graph as its skeleton.. This polyhedron has nine quadrilaterals for faces, which can be chosen to form three rhombi and six kites. Its dual polyhedron is a rectified triangular prism, formed as the convex hull of the midpoints of the edges of a triangular prism. This polyhedron has the property that its faces cannot be numbered in such a way that consecutive numbers appear on adjacent faces, and such that the first and last number are also on adjacent faces.

Johnson solid J₇. In geometry, the elongated triangular pyramid is one of the Johnson solids (J7). As the name suggests, it can be constructed by elongating a tetrahedron by attaching a triangular prism to its base. Like any elongated pyramid, the resulting solid is topologically (but not geometrically) self- dual.

Although interested in literature, art, gardening, and observing every facet of society, Wang also takes pleasure in traveling and exploring the mysteries of nature. After returning to Taiwan, Wang wrote Walk Carefully (2-fishes Publishing Co, 2006) based on his travels, the first in his Triangular Prism trilogy. The book was widely acclaimed by scholars and readers alike, with Nan Fang-shuo stating, “I will not be miserly in recommending this book, as that would be simply impossible for me to do!” Triangular Prism is like a series of concentric circles moving inward toward a core, describing Wang’s experiences and thoughts during his trip to Europe, his sentiments and history in Taipei, and his childhood before leaving far from home at the age of 18.

Portion of lattice of [Te6](O3SCF3)2. The intra- and inter-triangle Te-Te distances are 2.70 and 3.06 Å, respectively. Hexamethyltungsten (W(CH3)6) was the first example of a molecular trigonal prismatic complex. The figure shows the six carbon atoms arranged at the vertices of a triangular prism with the tungsten at the centre.

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.

The convex hull of two cantellated 24-cells in opposite positions is a nonuniform polychoron composed of 864 cells: 48 cuboctahedra, 144 square antiprisms, 384 octahedra (as triangular antipodiums), 288 tetrahedra (as tetragonal disphenoids), and 576 vertices. Its vertex figure is a shape topologically equivalent to a cube with a triangular prism attached to one of its square faces.

Basic three-dimensional cell shapes The basic 3-dimensional element are the tetrahedron, quadrilateral pyramid, triangular prism, and hexahedron. They all have triangular and quadrilateral faces. Extruded 2-dimensional models may be represented entirely by the prisms and hexahedra as extruded triangles and quadrilaterals. In general, quadrilateral faces in 3-dimensions may not be perfectly planar.

One triangular prismic cell projects onto a triangular prism at the center of the envelope, surrounded by the images of 3 other triangular prismic cells to cover the entire volume of the envelope. The remaining four triangular prismic cells are projected onto the entire volume of the envelope as well, in the same arrangement, except with opposite orientation.

The Dürer graph is a well-covered graph, meaning that all of its maximal independent sets have the same number of vertices, four. It is one of four well-covered cubic polyhedral graphs and one of seven well-covered 3-connected cubic graphs. The only other three well-covered simple convex polyhedra are the tetrahedron, triangular prism, and pentagonal prism.; .

21-hydroxylase is a complex of three independent and identical enzyme subunits. Each subunit in the human enzyme consists of 13 α-helices and 9 ß-strands, formed into a triangular prism-like tertiary structure. The iron(III) heme group that defines the active site resides in the center of each subunit. The human enzyme binds one substrate at a time.

Prismane or 'Ladenburg benzene' is a polycyclic hydrocarbon with the formula C6H6. It is an isomer of benzene, specifically a valence isomer. Prismane is far less stable than benzene. The carbon (and hydrogen) atoms of the prismane molecule are arranged in the shape of a six-atom triangular prism—this compound is the parent and simplest member of the prismanes class of molecules.

A hexahedron, a topological cube, has 8 vertices, 12 edges, bounded by 6 quadrilateral faces. It is also called a hex or a brick.Hexahedron elements For the same cell amount, the accuracy of solutions in hexahedral meshes is the highest. The pyramid and triangular prism zones can be considered computationally as degenerate hexahedrons, where some edges have been reduced to zero.

The crystal structure of bultfonteinite consists of strips of [Ca4Si2O4]8+, that run along the 5.67 Å c-axis, held together by Ca–O–Ca, Ca–F–Ca, Ca–H2O–Ca, and Ca–O–Si bonds. Silicon atoms occur in isolated tetrahedra and the calcium atoms have seven-fold coordination, derived from a triangular prism with a seventh atom present on one of the square faces.

Plane "hexagonal cupolae" in the rhombitrihexagonal tiling The above-mentioned three polyhedra are the only non-trivial convex cupolae with regular faces: The "hexagonal cupola" is a plane figure, and the triangular prism might be considered a "cupola" of degree 2 (the cupola of a line segment and a square). However, cupolae of higher-degree polygons may be constructed with irregular triangular and rectangular faces.

The beta-prism is an unusual type of protein architecture first described by Chothia and Murzin. As the name suggests, it holds three beta sheets arranged in a triangular prism and contains internal symmetry. Additionally, the head domain contains 5 Trp-Ring domains. Furthermore, this protein also contains three neck domains, of which two are IsNeck domains in addition to other domains such as KG, GANG, and TTT domains.

The shimmering appearance for which silk is prized comes from the fibers' triangular prism-like cross-sectional structure which allows silk cloth to refract incoming light at different angles. The length of the silk fiber depends on how it has been prepared. Since the cocoon is made of one strand, if the cocoon is unwound carefully the fibers can be very long. Spider silk is the strongest natural fiber known.

The Plaza is a high-rise commercial and residential building on Beach Road in Kallang, Singapore. The complex consists of a 30-storey residential and commercial tower and an 8-storey building housing The Plaza Parkroyal hotel. One of the Poshest residential in the center of the central, Arab street, Bugis and marina skyline facing . The tower has a distinctive triangular prism design, with each face being concave.

The octahedron-first orthographic projection of the octahedral prism into 3D space has an octahedral envelope. The two octahedral cells project onto the entire volume of this envelope, while the 8 triangular prismic cells project onto its 8 triangular faces. The triangular- prism-first orthographic projection of the octahedral prism into 3D space has a hexagonal prismic envelope. The two octahedral cells project onto the two hexagonal faces.

In geometry, the elongated triangular orthobicupola or cantellated triangular prism is one of the Johnson solids (J35). As the name suggests, it can be constructed by elongating a triangular orthobicupola (J27) by inserting a hexagonal prism between its two halves. The resulting solid is superficially similar to the rhombicuboctahedron (one of the Archimedean solids), with the difference that it has threefold rotational symmetry about its axis instead of fourfold symmetry.

In chemistry, the tricapped trigonal prismatic molecular geometry describes the shape of compounds where nine atoms, groups of atoms, or ligands are arranged around a central atom, defining the vertices of a triaugmented triangular prism (a trigonal prism with an extra atom attached to each of its three rectangular faces). It is very similar to the capped square antiprismatic molecular geometry, and there is some dispute over the specific geometry exhibited by certain molecules.

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.

These include smaller hearts and an outlined heart 'beamed' out directly to the screen. The BBC Choice logotype was retained following the rebrand, as were promotion styles, the DOG and the national opt-outs for Scotland, Wales, and Northern Ireland. However, the concept of a rotating triangular prism featuring the words 'Now on Choice' on each of the sides was used in promotions and to showcase upcoming programmes. The website address was added under the DOG in November 2000.

These include both the regular octahedron and the triangular prism. The linear Gale diagram of a regular octahedron consists of three pairs of equal points on the unit circle (representing pairs of opposite vertices of the octahedron), dividing the circle into arcs of angle less than \pi. Its affine Gale diagram consists of three pairs of equal signed points on the line, with the middle pair having the opposite sign to the outer two pairs., Example 6.18, p.

The sequence as identified by Gosset ends as an infinite tessellation (space-filling honeycomb) in 8-space, called the E8 lattice. (A final form was not discovered by Gosset and is called the E9 lattice: 621. It is a tessellation of hyperbolic 9-space constructed of ∞ 9-simplex and ∞ 9-orthoplex facets with all vertices at infinity.) The family starts uniquely as 6-polytopes. The triangular prism and rectified 5-cell are included at the beginning for completeness.

The mirror further restricts the shape of the wedge. Unless radical and expensive optics are used to alter the light path geometry, a 45° angle must be maintained between the sediment face and the plane of the camera. These restrictions dictate an SPI prism as an inclined plane (that is a triangular prism containing one right angle). Pushing the SPI prism into sediments is doing physical work, defined by the classic equation: W = Fd where W = work, F = force, and d=distance.

An old mango tree (which is evident in early photographs) is located to the south of the western approach. Earlier approaches from the north and east are no longer accessible. Within the clearing are four large ceramic plant pots in each of the corners, and two timber seats, which are not of cultural heritage significance. The cairn is constructed of random rubble and mortar in the shape of a rudimentary triangular prism with oyster and other shells embedded in the mortar.

In particular, h = 0 at the limits of = 6 and = , and h is maximized at = 2 (the triangular prism, where the triangles are upright). In the images above, the star cupolae have been given a consistent colour scheme to aid identifying their faces: the base -gon is red, the base -gon is yellow, the squares are blue, and the triangles are green. The cuploids have the base -gon red, the squares yellow, and the triangles blue, as the other base has been withdrawn.

In 1801, German physicist Johann Wilhelm Ritter discovered ultraviolet in an experiment similar to Hershel's, using sunlight and a glass prism. Ritter noted that invisible rays near the violet edge of a solar spectrum dispersed by a triangular prism darkened silver chloride preparations more quickly than did the nearby violet light. Ritter's experiments were an early precursor to what would become photography. Ritter noted that the ultraviolet rays (which at first were called "chemical rays") were capable of causing chemical reactions.

The 2-3 duoantiprism is an alternation of the 4-6 duoprism, represented by , but is not uniform. It has a highest symmetry construction of order 24, with 22 cells composed of 4 octahedra (as triangular antiprisms) and 18 tetrahedra (6 tetragonal disphenoids and 12 digonal disphenoids). There exists a construction with regular octahedra with an edge length ratio of 1 : 1.155. The vertex figure is an augmented triangular prism, which has a regular-faced variant that is not isogonal.

Architectural style of the buildings is modern. The tallest tower has been built in a shape of triangular prism with lower and upper bases. Due to such a geometry, The Southern Tower presents multiple aspects to the view depending on the angle of viewing: it looks like flat rectangle from eastern and western part of the city, but from northern point tower's seen as a cylindrical building; lateral faces of construction meeting in the prism's edge are seen from the south of Baku. According to skyscrapernews.

For n = 3, 4, 5, ... these numbers are :75, 384, 1805, 8100, 35287, 150528, ... . The n-gonal prism graphs for even values of n are partial cubes. They form one of the few known infinite families of cubic partial cubes, and (except for four sporadic examples) the only vertex-transitive cubic partial cubes.. The pentagonal prism is one of the forbidden minors for the graphs of treewidth three.. The triangular prism and cube graph have treewidth exactly three, but all larger prism graphs have treewidth four.

On 2 November 2002, the Stardust space probe flew past Annefrank at a distance of 3079 km. Its images show the asteroid to be 6.6 × 5.0 × 3.4 km, twice as big as previously thought, and its main body shaped like a triangular prism with several visible impact craters. From the photographs, the albedo of Annefrank was computed to be between 0.18 and 0.24. Preliminary analysis of the Stardust imagery suggests that Annefrank may be a contact binary, although other possible explanations exist for its observed shape.

3D model of a triangular bipyramid Net In geometry, the triangular bipyramid (or dipyramid) is a type of hexahedron, being the first in the infinite set of face-transitive bipyramids. It is the dual of the triangular prism with 6 isosceles triangle faces. As the name suggests, it can be constructed by joining two tetrahedra along one face. Although all its faces are congruent and the solid is face-transitive, it is not a Platonic solid because some vertices adjoin three faces and others adjoin four.

In chemistry, the bicapped trigonal prismatic molecular geometry describes the shape of compounds where eight atoms or groups of atoms or ligands are arranged around a central atom defining the vertices of a biaugmented triangular prism. This shape has C2v symmetry and is one of the three common shapes for octacoordinate transition metal complexes, along with the square antiprism and the dodecahedron.Wells A.F. (1984) Structural Inorganic Chemistry 5th edition Oxford Science Publications One example of the bicapped trigonal prismatic molecular geometry is the ion.

The album's artwork depicts the light refracting from a triangular prism. The album was originally released in a gatefold LP sleeve designed by Hipgnosis and George Hardie. Hipgnosis had designed several of the band's previous albums, with controversial results; EMI had reacted with confusion when faced with the cover designs for Atom Heart Mother and Obscured by Clouds, as they had expected to see traditional designs which included lettering and words. Designers Storm Thorgerson and Aubrey Powell were able to ignore such criticism as they were employed by the band.

In an equilateral triangle the area of the Malfatti circles (left) is approximately 1% smaller than the three area-maximizing circles (right). posed the problem of cutting three cylindrical columns out of a triangular prism of marble, maximizing the total volume of the columns. He assumed that the solution to this problem was given by three tangent circles within the triangular cross-section of the wedge. That is, more abstractly, he conjectured that the three Malfatti circles have the maximum total area of any three disjoint circles within a given triangle.

The P30 and P30 Pro were unveiled in Paris during a media event on 26 March 2019 which features a main RYYB subpixel array (replacing green pixels for yellow) that is very sensitive to light making it able to shoot photos in very low lighting conditions. The P30 Pro also has a telephoto camera that utilises a triangular prism (using periscope technology with lenses and camera sensor 90° offset near the centre of the phone) reflecting light giving it the ability to have 5x optical, 10x hybrid and 50x digital zoom.

The best-known silk is obtained from the cocoons of the larvae of the mulberry silkworm Bombyx mori reared in captivity (sericulture). The shimmering appearance of silk is due to the triangular prism-like structure of the silk fibre, which allows silk cloth to refract incoming light at different angles, thus producing different colors. Silk is produced by several insects; but, generally, only the silk of moth caterpillars has been used for textile manufacturing. There has been some research into other types of silk, which differ at the molecular level.

In chemistry, the capped trigonal prismatic molecular geometry describes the shape of compounds where seven atoms or groups of atoms or ligands are arranged around a central atom defining the vertices of an augmented triangular prism. This shape has C2v symmetry and is one of the three common shapes for heptacoordinate transition metal complexes, along with the pentagonal bipyramid and the capped octahedron.Wells A.F. (1984) Structural Inorganic Chemistry 5th edition Oxford Science Publications Examples of the capped trigonal prismatic molecular geometry are the heptafluorotantalate () and the heptafluoroniobate () ions.

The memorial was built to honor all gay men and women who have been murdered, tortured and persecuted because of their sexuality. It recreates symbols that were predominantly used throughout the Holocaust; a pink triangle to identify homosexual men, and a black triangle to identify lesbian women. The memorial is a "pink triangular prism, made of enameled steel, and a grid of black steel columns in the form of a triangle". The two elements form a fractured Star of David, and was designed by Russell Rodrigo and Jennifer Gamble.

More than thirty forms of fruit-producing trees were in the garden: spiral, triangular prism, fan, cords, and candelabras. In 1891 with the death of Auguste Hardy, Jules Nanot maintained the reputation of the Jardin du Roi and the ENH. Student education included studies of the architecture of the gardens and greenhouses taught by Darcel (a colleague of Alphand), and then by the famous landscape architect Édouard André, between 1892 and 1905, and his son René- Édouard André, who succeeded Duprat. Gradually, the teaching of the landscape architecture and design increased, creating a distinctive Versailles genre and its disciples.

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.

End-view of a 3-sided, left handed β-helix () A β-helix is formed from repeating structural units consisting of two or three short β-strands linked by short loops. These units "stack" atop one another in a helical fashion so that successive repetitions of the same strand hydrogen-bond with each other in a parallel orientation. See the β-helix article for further information. In lefthanded β-helices, the strands themselves are quite straight and untwisted; the resulting helical surfaces are nearly flat, forming a regular triangular prism shape, as shown for the 1QRE archaeal carbonic anhydrase at right.

In 1954, Baldwin (believing the utilitarian design of their road switchers was the cause of their overall failure on the market) redesigned their entire roster of locomotives, with all gaining new abilities. The most notable effect of the redesign was the raising of the roof on all Baldwin road switchers, causing the roof to take the shape of a triangular prism. Only a few units were sold with this design, as Baldwin's failing sales had dropped to their lowest at the time. Baldwin began offering dynamic braking on all road switchers, though the AS-616 was already offered with optional dynamic brakes.

The JabbaWockeeZ second stage show PRiSM opened at the Luxor Las Vegas on May 31, 2013. The show's original title was Nonsense (a nod to the crew's name) because, at the time, they lacked a cohesive theme. However, it was Napoleon's idea to change the title to PRiSM since there are seven crew members and when light goes into a prism, seven colors emerge (the Luxor hotel is in the shape of a triangular prism). From that point on, unity and color became the themes of the show and the title was given the backronym Painting Reality in a Spectrum of Movement.

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.

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.

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.

By Steinitz's theorem, the Goldner–Harary graph is a polyhedral graph: it is planar and 3-connected, so there exists a convex polyhedron having the Goldner–Harary graph as its skeleton. Geometrically, a polyhedron representing the Goldner–Harary graph may be formed by gluing a tetrahedron onto each face of a triangular dipyramid, similarly to the way a triakis octahedron is formed by gluing a tetrahedron onto each face of an octahedron. That is, it is the Kleetope of the triangular dipyramid.. Same page, 2nd ed., Graduate Texts in Mathematics 221, Springer-Verlag, 2003, .. The dual graph of the Goldner–Harary graph is represented geometrically by the truncation of the triangular prism.

Adventure Fold-Up Figures is a supplement of over 125 color cut-apart cardstock miniatures of various heroes and villains, from Galactus to Aunt May. Adventure Fold-Up Figures are cardboard miniatures for roleplaying games, and each figure has three images of the character in question; a third panel identifying the subject is taped or glued behind one of the pictures to form a triangular prism of the figure. Characters represented include the X-Men, Avengers, Fantastic Four, Alpha Flight, and New Defenders are all here, along with a handful of other major heroes like Spider-Man, Dr. Strange, Daredevil, and Moon Knight; some supporting characters like Aunt May, Franklin Richards, and Bernie Rosenthal; and some villains.

An equivalent procedure is to start with a regular octahedron and twist one face within its plane, without breaking any edges. With a 60° twist a triangular prism is formed; with a 120° twist there are two tetrahedra sharing the central vertex; any amount of twist between these two cases gives a Schönhardt polyhedron. Alternatively, the Schönhardt polyhedron can be formed by removing three disjoint tetrahedra from this convex hull: each of the removed tetrahedra is the convex hull of four vertices from the two triangles, two from each triangle. This removal causes the longer of the three connecting edges to be replaced by three new edges with concave dihedral angles, forming a nonconvex polyhedron.

In contrast, the SNA structure can be synthesized independent of nucleic acid sequence and hybridization, instead their synthesis relies upon chemical bond formation between nanoparticles and DNA ligands. Furthermore, DNA origami uses DNA hybridization interactions to realize a final structure, whereas SNAs and other forms of three-dimensional nucleic acids (anisotropic structures templated with triangular prism, rod, octahedra, or rhombic dodecadhedra- shaped nanoparticles)Jones, M. R.; Macfarlane, R. J.; Lee, B.; Zhang, J.; Young, K. L.; Senesi, A. J.; Mirkin, C. A. “DNA-Nanoparticle Superlattices Formed From Anisotropic Building Blocks,” Nature Mater., 2010, 9, 913-917, doi: 10.1038/nmat2870. utilize the nanoparticle core to arrange the linear nucleic acid components into functional forms.

The Triton subwoofer comprised a 200 lb cabinet designed to also act as a piece of furniture on which the entire B7xx series (including B77) could stand. The Triton system was superseded by the smaller and more compact Piccolo, and later the Power Cube, which was a Piccolo bass unit with built-in power amplifiers and optional remote control and multi-room controller. In 1987, Revox acquired the rights to manufacture the Stereolith Duetto, a single-box stereo loudspeaker. Built in the shape of a triangular prism, the Duetto was designed to complement, in acoustics and appearance, the Piccolo bass unit (passive operation) or the Power Cube (active operation). Today’s Revox range includes a very comprehensive speaker assortment.

The 26-fullerene graph has D_{3h} prismatic symmetry, the same group of symmetries as the triangular prism. This symmetry group has 12 elements; it has six symmetries that arbitrarily permute the three hexagonal faces of the graph and preserve the orientation of its planar embedding, and another six orientation-reversing symmetries. The number of fullerenes with a given even number of vertices grows quickly in the number of vertices; 26 is the largest number of vertices for which the fullerene structure is unique. The only two smaller fullerenes are the graph of the regular dodecahedron (a fullerene with 20 vertices) and the graph of the truncated hexagonal trapezohedron (a 24-vertex fullerene), which are the two types of cells in the Weaire–Phelan structure.

The seven cubic 3-connected well- covered graphs A cubic 1-connected well-covered graph, formed by replacing each node of a six-node path by one of three fragments The snub disphenoid, one of four well-covered 4-connected 3-dimensional simplicial polyhedra. The cubic (3-regular) well-covered graphs have been classified: they consist of seven 3-connected examples, together with three infinite families of cubic graphs with lesser connectivity. The seven 3-connected cubic well-covered graphs are the complete graph , the graphs of the triangular prism and the pentagonal prism, the Dürer graph, the utility graph , an eight-vertex graph obtained from the utility graph by a Y-Δ transform, and the 14-vertex generalized Petersen graph .; ; ; .

In 1991 three former boxvans 56, 2 and 13 were converted to brake block storage vehicles, coded VZBF 1-3. The sides and one end were cut down to only one louvre height, roughly 2ft above underframe level, and the remaining end about twice that height to carry the ratchet handbrake equipment. The doorways were plated over, and a triangular prism was constructed in the centre so that brake blocks around yards could be tossed into the wagon and would settle over the bogies, without having to be carefully placed.Norm Bray & Peter J Vincent, 2006, Bogie Freight Wagons of Victoria 1979 to 1999, p211, They had a nominal capacity of 20 tons, though that would add to well over a thousand cast-iron brake blocks.

Most of the building had a flat-profile roof, except for the central transept, which was covered by a barrel-vaulted roof that stood high at the top of the arch. Both the flat- profile sections and the arched transept roof were constructed using the key element of Paxton's design: his patented ridge-and-furrow roofing system, which had first seen use at Chatsworth. The basic roofing unit, in essence, took the form of a long triangular prism, which made it both extremely light and very strong, and meant it could be built with the minimum amount of materials. Paxton set the dimensions of this prism by using the length of single pane of glass () as the hypotenuse of a right-angled triangle, thereby creating a triangle with a length-to-height ratio of 2.5:1, whose base (adjacent side) was long.

Symbolically, Tn = (S1)n. The configuration space of unordered, not necessarily distinct points is accordingly the orbifold Tn/Sn, which is the quotient of the torus by the symmetric group on n letters (by permuting the coordinates). For n = 2, the quotient is the Möbius strip, the edge corresponding to the orbifold points where the two coordinates coincide. For n = 3 this quotient may be described as a solid torus with cross-section an equilateral triangle, with a twist; equivalently, as a triangular prism whose top and bottom faces are connected with a 1/3 twist (120°): the 3-dimensional interior corresponds to the points on the 3-torus where all 3 coordinates are distinct, the 2-dimensional face corresponds to points with 2 coordinates equal and the 3rd different, while the 1-dimensional edge corresponds to points with all 3 coordinates identical.

The graph of a k-gonal prism has 2k vertices, and is planar with two k-gon faces and k quadrilateral faces. If k = ab, with a ≥ 2 and b ≥ 3, then it has an a-ply covering map to a b-fonal prism, in which two vertices of the k-prism are mapped to the same vertex of the b-prism if they both belong to the same k-gonal face and the distance from one to the other is a multiple of b. For instance, the dodecagonal prism can form a 2-ply cover of the hexagonal prism, a 3-ply cover of the cube, or a 4-ply cover of the triangular prism. These examples show that a graph may have many different planar covers, and may be the planar cover for many other graphs.

However, fewer colors may be obtained by forming an auxiliary graph that has a vertex for each vertex or face of the given planar graph, and in which two auxiliary graph vertices are adjacent whenever they correspond to adjacent features of the given planar graph. A vertex coloring of the auxiliary graph corresponds to a vertex-face coloring of the original planar graph. This auxiliary graph is 1-planar, from which it follows that Ringel's vertex-face coloring problem may also be solved with six colors. The graph K6 cannot be formed as an auxiliary graph in this way, but nevertheless the vertex-face coloring problem also sometimes requires six colors; for instance, if the planar graph to be colored is a triangular prism, then its eleven vertices and faces require six colors, because no three of them may be given a single color..

In THE FIRST BOOK OF THE ELEMENTS OF THE ART OF WEIGHING, The second part: Of the propositions [The Properties of Oblique Weights], Page 41, Theorem XI, Proposition XIX,The Principle Works of Simon Stevin he derived the condition for the balance of forces on inclined planes using a diagram with a "wreath" containing evenly spaced round masses resting on the planes of a triangular prism (see the illustration on the side). He concluded that the weights required were proportional to the lengths of the sides on which they rested assuming the third side was horizontal and that the effect of a weight was reduced in a similar manner. It's implicit that the reduction factor is the height of the triangle divided by the side (the sine of the angle of the side with respect to the horizontal). The proof diagram of this concept is known as the "Epitaph of Stevinus".

The fact that the volume of any pyramid, regardless of the shape of the base, whether circular as in the case of a cone, or square as in the case of the Egyptian pyramids, or any other shape, is (1/3) × base × height, can be established by Cavalieri's principle if one knows only that it is true in one case. One may initially establish it in a single case by partitioning the interior of a triangular prism into three pyramidal components of equal volumes. One may show the equality of those three volumes by means of Cavalieri's principle. In fact, Cavalieri's principle or similar infinitesimal argument is necessary to compute the volume of cones and even pyramids, which is essentially the content of Hilbert's third problem – polyhedral pyramids and cones cannot be cut and rearranged into a standard shape, and instead must be compared by infinite (infinitesimal) means.

The Flatiron Building in New York is shaped like a triangular prism Rectangles have been the most popular and common geometric form for buildings since the shape is easy to stack and organize; as a standard, it is easy to design furniture and fixtures to fit inside rectangularly shaped buildings. But triangles, while more difficult to use conceptually, provide a great deal of strength. As computer technology helps architects design creative new buildings, triangular shapes are becoming increasingly prevalent as parts of buildings and as the primary shape for some types of skyscrapers as well as building materials. In Tokyo in 1989, architects had wondered whether it was possible to build a 500-story tower to provide affordable office space for this densely packed city, but with the danger to buildings from earthquakes, architects considered that a triangular shape would be necessary if such a building were to be built.

A gridded "egg-crate visor" () is customarily placed in front of the lights to shield them from the sun and increase their visibility, but such visors can also be vulnerable to snow or ice accumulation on the screens, which in turn could block the pedestrian display. Pedestrian signals can also use a triangular-prism-shaped "cutaway visor" or "cap visor" (so named because the pitch of the visor, is shaped like a baseball cap), which mainly covers the top of the signal and the tops of the left and right sides; or a more rectangular-shaped "tunnel visor", which fully covers the left, right, and top sides of the pedestrian display. Three-state signal sequence with textual messages typical for the United States; words may be replaced by symbols. In some cities in the US, other methods of pedestrian detection are being or have been tested, including infrared and microwave technology, as well as weight sensors built in at curbside.

1-planar graphs were first studied by , who showed that they can be colored with at most seven colors.. Later, the precise number of colors needed to color these graphs, in the worst case, was shown to be six.. The example of the complete graph K6, which is 1-planar, shows that 1-planar graphs may sometimes require six colors. However, the proof that six colors are always enough is more complicated. Coloring the vertices and faces of the triangular prism graph requires six colors Ringel's motivation was in trying to solve a variation of total coloring for planar graphs, in which one simultaneously colors the vertices and faces of a planar graph in such a way that no two adjacent vertices have the same color, no two adjacent faces have the same color, and no vertex and face that are adjacent to each other have the same color. This can obviously be done using eight colors by applying the four color theorem to the given graph and its dual graph separately, using two disjoint sets of four colors.

The demipenteract also exists in the demihypercube family. They are also sometimes named by their symmetry group, like E6 polytope, although there are many uniform polytopes within the E6 symmetry. The complete family of Gosset semiregular polytopes are: # triangular prism: −121 (2 triangles and 3 square faces) # rectified 5-cell: 021, Tetroctahedric (5 tetrahedra and 5 octahedra cells) # demipenteract: 121, 5-ic semiregular figure (16 5-cell and 10 16-cell facets) # 2 21 polytope: 221, 6-ic semiregular figure (72 5-simplex and 27 5-orthoplex facets) # 3 21 polytope: 321, 7-ic semiregular figure (576 6-simplex and 126 6-orthoplex facets) # 4 21 polytope: 421, 8-ic semiregular figure (17280 7-simplex and 2160 7-orthoplex facets) # 5 21 honeycomb: 521, 9-ic semiregular check tessellates Euclidean 8-space (∞ 8-simplex and ∞ 8-orthoplex facets) # 6 21 honeycomb: 621, tessellates hyperbolic 9-space (∞ 9-simplex and ∞ 9-orthoplex facets) Each polytope is constructed from (n − 1)-simplex and (n − 1)-orthoplex facets. The orthoplex faces are constructed from the Coxeter group Dn−1 and have a Schläfli symbol of {31,n−1,1} rather than the regular {3n−2,4}.