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133 Sentences With "trapezoids"

How to use trapezoids in a sentence? Find typical usage patterns (collocations)/phrases/context for "trapezoids" and check conjugation/comparative form for "trapezoids". Mastering all the usages of "trapezoids" from sentence examples published by news publications.

Our favorite way to set an Emerald is with Trapezoids!
You got all kinds of shapes: Squares, trapezoids, even the occasional rhombus.
Oh," she said, gesturing to her pecs and trapezoids, "It shows the shoulders and everything.
Slopes, as in rhomboids and trapezoids, delighted him; pyramids pleased him for their perfect stability.
An orange "zip" is wedged between each of the flanking white bands and the centered, overlaid trapezoids.
He used lasers to make cuts in thin plastic sheets in the shape of lines, triangles, circles, or trapezoids.
Some of them are straight lines, some are spirals and rectangles and trapezoids, and some are animals: whales, ducks, hummingbirds.
Printed as trapezoids and hung within rectangular frames, the photographs also refer to the history of shaped canvases in painting.
"I'm envisioning a setting in a vintage style, with step-cut diamond accents, perhaps trapezoids or tapered baguettes," Mr. Kwiat said.
The shifts between the sectioned areas can be tonal or sharp, but the vocabulary is solidly geometric: trapezoids, parallelograms, triangles, rectangles, and squares.
As a show stripped down, Insecure is really a story of partial love triangles, love squares, love trapezoids, and whatever-the-hell-else shapes.
A Roth painting can have wildly demanding outer shapes that resemble the state boundaries, or they can be subtle trapezoids, or, though infrequently, conventional rectangles.
And might we not see the low rooftops – their parallelograms and trapezoids in the foreground – as evidence of stunted growth and obeisance before the towers?
The rest of the painting is mostly filled with triangles and trapezoids — angled shapes echoing the triangle — though Lerner has interspersed a few rectangles among them.
This neat division is interrupted by three irregular trapezoids (which look more like seal fins than geometric shapes) in dark maroon, scarlet red, and muted violet.
Moholy-Nagy's extensive writings and graphic design are displayed on each level in vitrines, whose bright rectangular lids manage to evoke the colorful trapezoids in his paintings.
Even cooler still: The scientists laser-cut different shapes of scales, from circles to triangles to trapezoids, and it turns out that not all shapes are created equal.
Stilley made the instruments from thick slabs of hard wood not usually used for string instruments and sawed them into strange, jagged shapes like butterfly wings and lopsided trapezoids.
Most of the canvases in his new show, "You're Only a Stranger Once," at Sardine in Bushwick, are divided into octagons, with each octagon divided in turn into irregular trapezoids and squares.
This tablet, with impressions of cuneiform script pressed into clay, did not mention trapezoids, but it recorded the motion of Jupiter, and the numbers matched those on the tablets with the trapezoid calculations.
In "Solid Gone" (2018), which measures 72 inches by 18 inches, Westfall has fitted together two sets of isosceles triangles and right triangles at the top and bottom of the painting, forming two right trapezoids.
Electing to stay within a circumscribed vocabulary of hard-edged geometric forms — rectangles, triangles, parallelograms, and trapezoids — he opened himself up to the possibilities suggested by contrasting proportions and color changes along the panel's borders.
In "Orange Zip" (553), which was done in acrylic and oil on a square panel measuring 40 by 40 inches, Voisine overlays two blue trapezoids within a bounded space framed by a creamy white bands.
Soon, influenced by Chinese painting, she began to work on paper with opaque India ink, covering the surfaces with saturated zones of black and leaving hazy-edged, abraded voids in the form of trapezoids, lozenges or stalactites.
Early Babylonian mathematicians who lived between 1800 B.C. and 1600 B.C. had figured out, for example, how to calculate the area of a trapezoid, and even how to divide a trapezoid into two smaller trapezoids of equal area.
In the nearly square "Veil" (2018), the plane formed by the differently colored trapezoids and triangles seems to tilt away from the picture plane as well as warp slightly in space as it rises from the bottom edge.
To the north, where the facade meets Milan's skyline and becomes mostly glass, cantilevering over the street, the block breaks into a zigzag of shifting floor plates, rectangles and trapezoids, the whole building wedged onto a triangular plot.
The pairing of the two triangles forming the trapezoids (blue and yellow at the top and pink and black on the bottom) is binary, dark and light, with the dark larger shape holding the smaller lighter one in place.
It is also a modern architect's playground: The train station looks like a cresting wave, buildings are made of cubes and trapezoids, and I bought coffee in an enormous new marketplace that looks like an airplane hangar with flowers and cows painted on it.
In one of the small monotypes I saw at the studio, Whitney painted a loosely brushed ground of watermelon red in which he set three horizontal rows of unpainted, irregularly shaped rectangles, squares, and trapezoids, four in the top row and five in the middle and bottom rows.
First made of sheet steel, later made of cardboard, these standardized parts can be combined in any shape you like — several trapezoids can be joined into an X that sits on the floor, or a dozen pieces can climb and curve in on themselves, like in the classic Snake arcade game.
The show, comprised of a staggering one hundred and fifteen works, proceeds chronologically up the rotunda, but the non-linear elements in her work — triangles, lozenges, and trapezoids from very early paintings that resurface in her final works, as well as some unexpectedly figurative sculpture from her New York years — are allowed to shine through.
Other problems show how to find the area of rectangles, triangles and trapezoids.
A parallelogram is a trapezoid with two pairs of parallel sides. A parallelogram has central 2-fold rotational symmetry (or point reflection symmetry). It is possible for obtuse trapezoids or right trapezoids (rectangles). A tangential trapezoid is a trapezoid that has an incircle.
A right kite Examples of bicentric quadrilaterals are squares, right kites, and isosceles tangential trapezoids.
In graph theory, trapezoid graphs are intersection graphs of trapezoids between two horizontal lines. They are a class of co-comparability graphs that contain interval graphs and permutation graphs as subclasses. A graph is a trapezoid graph if there exists a set of trapezoids corresponding to the vertices of the graph such that two vertices are joined by an edge if and only if the corresponding trapezoids intersect. Trapezoid graphs were introduced by Dagan, Golumbic, and Pinter in 1988.
In computer engineering, specifically digital logic and computer architecture, trapezoids are typically utilized to symbolize multiplexors. Multiplexors are logic elements that select between multiple elements and produce a single output based on a select signal. Typical designs will employ trapezoids without specifically stating they are multiplexors as they are universally equivalent.
Then, we add the segments from the subdivision, one by one, in random order, refining the trapezoidal decomposition. Using backwards analysis, we can show that the expected number of trapezoids created for each insertion is bounded by a constant. We build a directed acyclic graph, where the vertices are the trapezoids that existed at some point in the refinement, and the directed edges connect the trapezoids obtained by subdivision. The expected depth of a search in this digraph, starting from the vertex corresponding to the bounding box, is O(log n).
To integrate a function exactly it is required to find the sum of infinite trapezoids, but numerically only the sum of only finite trapezoids can be found, and hence the approximation of the mathematical procedure. Similarly, to differentiate a function, the differential element approaches zero but numerically only a finite value of the differential element can be chosen.
The one which joys my heart is of mahogany, and it turns > automatically at the slightest touch. It contains seven china dishes, six of > which are trapezoids, the center one being octagonal. The trapezoids fit > about the center octagon, forming a perfect whole. By 1918, Century Magazine was already describing the lazy Susan as out of fashion,Century Magazine, p. 396. Jan 1918.
An acute trapezoid has two adjacent acute angles on its longer base edge, while an obtuse trapezoid has one acute and one obtuse angle on each base. An isosceles trapezoid is a trapezoid where the base angles have the same measure. As a consequence the two legs are also of equal length and it has reflection symmetry. This is possible for acute trapezoids or right trapezoids (rectangles).
Trapezoids can be used to represent a trapezoid graph by using the definition of trapezoid graph. A trapezoid graph's trapezoid representation can be seen in Figure 1.
Special cases of isosceles trapezoids Rectangles and squares are usually considered to be special cases of isosceles trapezoids though some sources would exclude them. Another special case is a 3-equal side trapezoid, sometimes known as a trilateral trapezoidMichael de Villiers, Hierarchical Quadrilateral Tree or a trisosceles trapezoid.isosceles trapezoid They can also be seen dissected from regular polygons of 5 sides or more as a truncation of 4 sequential vertices.
Prismatoid with parallel faces A₁ and A₃, midway cross-section A₂, and height h In geometry, a prismatoid is a polyhedron whose vertices all lie in two parallel planes. Its lateral faces can be trapezoids or triangles.William F. Kern, James R Bland, Solid Mensuration with proofs, 1938, p.75 If both planes have the same number of vertices, and the lateral faces are either parallelograms or trapezoids, it is called a prismoid.
If all trapezoids are not negotiated in succession in a single turn, the turn is forfeit and the process must start again on the player's next turn by first flicking for the "13" square. If the trapezoids are successfully negotiated, the player is deemed to be a 'killer'. In another variation of the game, players must complete the circuit of numbers from "1" to "13", then backwards back to "1", before making the attempt to become a killer. This version consequently takes more time to play.
Trapezoid special cases. The orange figures also qualify as parallelograms. A right trapezoid (also called right-angled trapezoid) has two adjacent right angles. Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.
In VLSI artwork processing systems, it is often required to partition a polygonal region into the minimum number of trapezoids, with two horizontal sides. A triangle with a horizontal side is considered to be a trapezoid with two horizontal sides one of which is degenerate. For a hole-free polygon with n sides, a smallest such partition can be found in time O(n^3). If the number of trapezoids need not be minimal a trapezoidation can be found in time O(n), as a by-product of a polygon triangulation algorithm.
Otherwise, they are incomparable. Thus, two trapezoids are disjoint exactly if their corresponding boxes are comparable. The box representation is useful because the associated dominance order allows sweep line algorithms to be used.Stefan Felsner, Rudolf Muller, and Lorenz Wernisch.
The illusion can also be constructed using identical trapezoids rather than identical parallelograms. A variant of the Shepard tabletop illusion was named "Best Illusion of the Year" for 2009. Christopher W. Tyler, among others, has done scholarly research on the illusion.
Now, if this triangle were to be cut in a straight horizontal line somewhere between the top and the bottom, and the top portion were to be removed, the remaining portion forms a trapezoid. The first step of defuzzification typically "chops off" parts of the graphs to form trapezoids (or other shapes if the initial shapes were not triangles). For example, if the output has "Decrease Pressure (15%)", then this triangle will be cut 15% the way up from the bottom. In the most common technique, all of these trapezoids are then superimposed one upon another, forming a single geometric shape.
Art Deco style emphasizes geometric forms: spheres, polygons, rectangles, trapezoids, zigzags, chevrons, and sunburst motifs. Elements are often arranged in symmetrical patterns. Modern materials such as aluminum, stainless steel, Bakelite, chrome, and plastics are used. Colors tend to be vivid and high- contrast.
The advantage of pattern block art is that it can be changed around, added, or turned into something else. All six of the shapes (green triangles, blue (thick) rhombi, red trapezoids, yellow hexagons, orange squares, and tan (thin) rhombi) are applied to make mosaics.
This polyhedron could be constructed by taking a tall uniform hexagonal prism, and making 3 angled cuts on the top and bottom. The trapezoids represent what remains of the original prism sides, and the 6 rhombi a result of the top and bottom cuts.
The church was built in 1956 and 1957 on a design by the local architect Josef Bieling. It is a Saalkirche without columns. The floor plan is based on two entwined trapezoids, with a rounded altar area. It is constructed from beton, which is seen inside.
The rooms here are not rectangular but more like trapezoids, which makes it harder to place furniture. Also the courtyard has bad acoustics – a small noise echoes a lot, it bounces from the walls making it noisy at night if something is happening in the courtyard.
The latter definition is consistent with its uses in higher mathematics such as calculus. This article uses the inclusive definition and considers parallelograms as special cases of a trapezoid. This is also advocated in the taxonomy of quadrilaterals. Under the inclusive definition, all parallelograms (including rhombuses, rectangles and squares) are trapezoids.
With Profiles, constructions with varying levels of complexity can be designed: windows, doors, balcony doors, hanging facades, commercial shop fronts, constructions with unlimited number of wings, sliding constructions, arches, trapezoids etc.At every stage of the working process, CCG Profiles allows change of the construction parameters: dimensions, roundings, bevels, beams position, width of the wings.
In architecture the word is used to refer to symmetrical doors, windows, and buildings built wider at the base, tapering toward the top, in Egyptian style. If these have straight sides and sharp angular corners, their shapes are usually isosceles trapezoids. This was the standard style for the doors and windows of the Inca.
Some believe that this was a place for sacrifices, because the structure has beautiful vaulted niches and empty trapezoids of typical Inca type and in front of the cavern, there is a rock sculpted in the shape of an altar. Others think Temple of the Moon was a ceremonial bathing complex.[Eyewitness travel guide. DK Publishing.
The room's simple furnishings consisted of 16 carved gilt chairs with red leather seats. In the upper, restored, room, the walls are covered with soft green marble (celadon), which makes the light shimmer light blue. There are gilt ornaments of plaster bordering the french windows. The parquet floors form trapezoids made up of different kinds of wood.
When the Contour (Envelope) is triggered by the LFO, it allows for periodic LFO-type waves to be applied to the VCF or VCA, depending on the Rise- and Fall-times. This allows the creation of Saw- and Ramp- waves, as well as asymmetrical Triangle waves and unusual trapezoids, not otherwise found through modulating with the LFO alone.
Examples of equidiagonal quadrilaterals include the isosceles trapezoids, rectangles and squares. An equidiagonal kite that maximizes the ratio of perimeter to diameter, inscribed in a Reuleaux triangle Among all quadrilaterals, the shape that has the greatest ratio of its perimeter to its diameter is an equidiagonal kite with angles π/3, 5π/12, 5π/6, and 5π/12., .
One of the ways of making a dodecagon with pattern blocks Pattern blocks consist of various wooden shapes (green triangles, red trapezoids, yellow hexagons, orange squares, tan (long) rhombi, and blue (wide) rhombi) that are sized in such a way that students will be able to see relationships among shapes. For example, three green triangles make a red trapezoid; two red trapezoids make up a yellow hexagon; a blue rhombus is made up of two green triangles; three blue rhombi make a yellow hexagon, etc. Playing with the shapes in these ways help children develop a spatial understanding of how shapes are composed and decomposed, an essential understanding in early geometry. Pattern blocks are also used by teachers as a means for students to identify, extend, and create patterns.
The fingerboard was made from rosewood on some models, ebony on others, and had mother of pearl dots for inlays, instead of the usual trapezoids. The neck profile was slim-tapered, like a Standard, and the frets were low, like a "Fretless Wonder" Custom. According to limited information from guitar forums, some of these had the sought-after Tim Shaw pickups.
The median (midsegment) of a tangential trapezoid equals one fourth of the perimeter of the trapezoid. It also equals half the sum of the bases, as in all trapezoids. If two circles are drawn, each with a diameter coinciding with the legs of a tangential trapezoid, then these two circles are tangent to each other.Chernomorsky Lyceum, Inscribed and circumscribed quadrilaterals, 2010, .
The triangles with reflection symmetry are isosceles, the quadrilaterals with this symmetry are kites and isosceles trapezoids. For each line or plane of reflection, the symmetry group is isomorphic with Cs (see point groups in three dimensions for more), one of the three types of order two (involutions), hence algebraically isomorphic to C2. The fundamental domain is a half-plane or half-space.
Another interpretation can represent this solid as a hexahedron, by considering pairs of trapezoids as a folded regular hexagon. It will have 6 faces (4 triangles, and 2 hexagons), 12 edges, and 8 vertices. It could also be seen as a folded tetrahedron also seeing pairs of end triangles as a folded rhombus. It would have 8 vertices, 10 edges, and 4 faces.
The Rivieras complied on all counts and featured the full range of safety features. 1968 models had reshaped loop-type bumpers that surrounded both the vehicle's recessed crosshatch front grille and tail lamps. Hidden wiper arms made their debut. Federally mandated side marker lights appeared, as inverted trapezoids on the lower leading edges of the front fenders, and circular in the rear.
A skeletal pyramid with its base highlighted In geometry, a base is a side of a polygon or a face of a polyhedron, particularly one oriented perpendicular to the direction in which height is measured, or on what is considered to be the "bottom" of the figure. This term is commonly applied to triangles, parallelograms, trapezoids, cylinders, cones, pyramids, parallelepipeds and frustums.
Ames room forced perspective Ames room The Ames room was invented by American scientist Adelbert Ames, Jr. in 1946. When viewed through a peephole, the room appears to have normal perspective. However, all other viewpoints reveal that the room is constructed of irregular trapezoids. Similar effects had been achieved during the Renaissance through the use of "accelerated perspective" in stage design.
It provides several rendering operations and also does alpha blending. it serves primarily to implement antialiased fonts, but for example KWin, KDE’s window manager uses it to draw drop shadows and translucency in case OpenGL is not available. Geometric figures are rendered by client-side tessellation into either triangles or trapezoids. Text is drawn by loading the glyphs into the server and rendering as a group.
Giorgio Monti, "EC competition law", Cambridge University Press, 2007, p. 292 #The simplest version of the model compares a situation where initially the market is competitive to a situation where the post-merger market is not. However, if initially price exceeds marginal cost (i.e. the market is not competitive), further increases in price have a "first order" effect on consumer surplus (graphically, they are trapezoids).
Jim DeFrance (born, 1940 Alliance, Nebraska; died 2014 Los Angeles, California) was a West Coast artist known for his abstract, shaped panel paintings and meticulous constructions. He utilized a reductive process while incorporating architectural references, geometric foundations, and fine carpentry into his work. He was most known for his “Slot” paintings, where he developed a surface structure of trapezoids on top of a bold color field.
Circle trapezoid graphs are a class of graphs proposed by Felsner et al. in 1993. They are a superclass of the trapezoid graph class, and also contain circle graphs and circular-arc graphs. A circle trapezoid is the region in a circle that lies between two non-crossing chords and a circle trapezoid graph is the intersection graph of families of circle trapezoids on a common circle.
MDP usually involves mask fracturing where complex polygons are translated into simpler shapes, often rectangles and trapezoids, that can be handled by the mask writing hardware. Because mask fracturing is such a common procedure within the whole MDP, the term fracture, used as a noun, is sometimes used inappropriately in place of the term mask data preparation. The term fracture does however accurately describe that sub- procedure of MDP.
Pathways was Bungie's fourth game (and third commercial title), archived at pid.bungie.org. after their previous game, Minotaur: The Labyrinths of Crete, sold around 2,500 copies. In the summer of 1992, Jones was living in dorms at the University of Chicago when he saw Wolfenstein 3D, a shooter game with three-dimensional (3D) graphics. Inspired, Jones created a rough 3D-graphics engine for the Mac that simulated walls with trapezoids and rectangles.
They generally have one long axis and concave or convex edges, and it is possible for them to have a gibbosity (hump) or indentations. Triangular microliths may be isosceles, scalene or equilateral. In the case of trapezoid geometric microliths, on the other hand, the notches are not retouched, leaving a portion of the natural edge between them. Trapezoids can be further subdivided into symmetrical, asymmetrical and those with concave edges.
There is some disagreement whether parallelograms, which have two pairs of parallel sides, should be regarded as trapezoids. Some define a trapezoid as a quadrilateral having only one pair of parallel sides (the exclusive definition), thereby excluding parallelograms. Others define a trapezoid as a quadrilateral with at least one pair of parallel sides (the inclusive definitionTrapezoids, . Retrieved 2012-02-24.), making the parallelogram a special type of trapezoid.
The studio was renowned for its echo chambers. According to Gold, who designed the chambers after years of research and experimentation, they were built in an area of about x 20 ft and were complementary trapezoids long. The walls were thick, specially-formulated cement plaster on heavy isolation forms. Entry into the chambers was through a series of by 2 ft doors, and the opening was only about wide and high.
Given a channel, a pair of two horizontal lines, a trapezoid between these lines is defined by two points on the top and two points on the bottom line. A graph is a trapezoid graph if there exists a set of trapezoids corresponding to the vertices of the graph such that two vertices are joined by an edge if and only if the corresponding trapezoids intersect. The interval order dimension of a partially ordered set, P=(X, <), is the minimum number d of interval orders P1 … Pd such that P = P1∩…∩Pd. The incomparability graph of a partially ordered set P=(X, <) is the undirected graph G=(X, E) where x is adjacent to y in G if and only if x and y are incomparable in P. An undirected graph is a trapezoid graph if and only if it is the incomparability graph of a partial order having interval order dimension at most 2.
A tangential trapezoid. In Euclidean geometry, a tangential trapezoid, also called a circumscribed trapezoid, is a trapezoid whose four sides are all tangent to a circle within the trapezoid: the incircle or inscribed circle. It is the special case of a tangential quadrilateral in which at least one pair of opposite sides are parallel. As for other trapezoids, the parallel sides are called the bases and the other two sides the legs.
The airbase is served by a single long runway. FOB MacKenzie occupies an 18-square-kilometer site and is protected by an 18-kilometer security perimeter. According to the "Gulf War Air Power Survey", there were 12 hardened aircraft shelters at FOB MacKenzie in 1991. At each end of the main runway are hardened aircraft shelters knowns as "trapezoids" or "Yugos" which were built by Yugoslavian contractors some time prior to 1985.
The Latin cross puzzle (left) and the T puzzle (right). The Latin cross puzzle consists of a reassembling a five-piece dissection of the cross with three isosceles right triangles, one right trapezoids and an irregular shaped six-sized piece (see figure). When the pieces of the cross puzzle have the right dimensions, they can also be put together as a rectangle. From Chinese origin, the oldest examples date from the first half of the nineteenth century.
All triangles, all regular simple polygons, all rectangles, all isosceles trapezoids, and all right kites are cyclic. A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it, if the circle's center is within the polygon. Every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm. Even if a polygon has a circumscribed circle, it may be different from its minimum bounding circle.
Klenät, klena, klejne, kleina, kleyna, and fattigmann are all names for a fried pastry common in the Nordic countries. It is also found in nearby countries (such as Lithuania, under the name Žagarėliai) and Eastern European countries (such as Russia, under the name Krepli, ). The name is related to klen, the Swedish term for "slender", but is originally of Low German origin, which may indicate that the pastry was originally German. It is made from flattened dough cut into small trapezoids.
Noncompartmental PK analysis is highly dependent on estimation of total drug exposure. Total drug exposure is most often estimated by area under the curve (AUC) methods, with the trapezoidal rule (numerical integration) the most common method. Due to the dependence on the length of x in the trapezoidal rule, the area estimation is highly dependent on the blood/plasma sampling schedule. That is, the closer time points are, the closer the trapezoids reflect the actual shape of the concentration-time curve.
Tal Afar Air Base is a former Iraqi Air Force base near Tal Afar in the Nineveh Governorate of Iraq. Tal Afar Air Base was a primary air base for the Iraqi Air Force. It has been constructed by the Belgian company SIX-CFE in 1982–1984. At each end of the main 10,000-ft longrunway are a dozen hardened aircraft shelters known as "Trapezoids" or "Yugos" which were built by Yugoslav contractors some time prior to 1985 with multiple runways and taxiways.
Due to their specific construction of these airfields – which included taxi-ways leading right out of Hardened Aircraft Shelters (HAS) and laid diagonally to the runways – they became known as "Trapezoids" or "Yugos". The facilities were divided into two categories: "surface" and "underground". The "surface" facilities were actually the "softest", and included maintenance hangars of metal construction, and HAS of concrete construction. In total, the Yugoslavs have built no less but 200 HAS on different airfields in Iraq during the 1980s.
Naveta d'Es Tudons, in Menorca In the Stone Age, the most common megalith found in the Iberian Peninsula was the dolmen. The plans of these funerary chambers used to be pseudocircles or trapezoids, formed by huge stones stuck on the ground, and others over them, forming the roof. As the typology evolved, an entrance corridor appeared, and gradually took prominence and became almost as wide as the chamber. Roofed corridors and false domes were common in the most advanced stage.
It was sometimes called the Washington Parlor, as the Gilbert Stuart painting of George Washington hung in this room after the Burning of Washington. At this time, the two doors were rebuilt further apart. (Now the south door became a false door.) In 1845, the Yellow Parlor was redecorated in crimson, and took its current name as the Red Room. A rectangular ceiling fresco with a small central circle, curved trapezoids, and half-moons, designed Thomas Ustick Walter, was added in 1853.
Howieson's Poort industry was recovered at Klasies River Mouth and Border Cave from cold- climate deposites. This industry consists of small blades, backed crescents, trapezoids, and knives. Comparing Klasies River mouth and Border Cave deposits, more blades and geometric flakes from non-local cryptocrystalline siliceous rock were found in Klasies River Mouth and more blades of chalcedony were found in Border Cave. Finding blades of more modern technological materials displays an example of transitions made to the "Upper Paleolithic" lithic industry.
In plan the centre-section was rectangular, about in span, in chord (more than half the overall length of the aircraft) and was thick. The outer panels were braced to the lower centre-section outer edge on each side with two steel tube struts. In plan the outer panels were strongly tapering trapezoids, carrying ailerons along the entire trailing edge. The de Monge 7-4 was powered by two Anzani air-cooled 3-cylinder radial engines on a girder across the leading edge of the centre-section.
James Hoban designated what is today the Green Room as a Common Dining Room, and Thomas Jefferson's family took their meals here. A rectangular ceiling fresco with small circles and trapezoids, designed by Thomas Ustick Walter, was added in 1853. In the 1902 renovation of the White House, a second door, south of the existing door, was cut from the Green Room to the Blue Room. At the same time, a new, southern door was cut from the Green Room to the East Room.
It was also used to dress idols, priests and sacrifice victims in forms of crowns, stoles, plumes, wigs, trusses and bracelets. Paper items such as flags, skeletons and very long papers, up to the length of a man, were used as offerings, often by burning them.López Binnqüist, page 86 Another important paper item for rituals was paper cut in the form of long flags or trapezoids and painted with black rubber spots to depict the characteristic of the god being honored. At a certain time of year, these were also used to ask for rain.
All of these vehicles can be found with one or both types of the "hub-cap" style wheel, inside a black plastic tire. The 'hub-cap' design was later replaced with an oversized, simpler, one-piece wheel with five silver triangular 'spokes'. A couple of other wheel styles were a thin, ridged, one-piece design with five trapezoids outlined in silver and a one-piece form with two concentric circles outlined in silver. These were designs for cars, but wheels on trucks and other vehicles were often distinct from these patterns.
11 Two long slits at the back, below the hipline, also trimmed with silk borders, accommodate a seated rider. The garment is secured with three sets of frogs, fabric-covered buttons and twisted loops of cording made of bias-cut strips of linen. The caftan is made from linen cloth woven as a bolt of fabric and cut using a "semistraight" structure, with triangles and trapezoids—some of them pieced from smaller fragments of cloth—assembled to shape the garment. This type of construction is common to traditional garments of Eastern Europe and Western Asia.
Other breads include skonsur which are soft breads, and Westfjord Wheatcakes (Vestfirskar hveitikökur). Traditional pastries include kleina, a small fried dough bun where the dough is flattened and cut into small trapezoids with a special cutting wheel (kleinujárn), a slit cut in the middle and then one end pulled through the slit to form a "knot". This is then deep-fried in oil.Kleina is mentioned in one of the first cookbooks printed in Icelandic, Einfaldt Matreidslu Vasa-Qver fyrir heldri manna Húss-freyjur by Marta María Stephensen from 1800 Laufabrauð (lit.
The T-puzzle, a T shape can be assembled with the four pieces on the left. The T puzzle is a tiling puzzle consisting of four polygonal shapes which can be put together to form a capital T. The four pieces are usually one isosceles right triangle, two right trapezoids and an irregular shaped pentagon. Despite its apparent simplicity, it is a surprisingly hard puzzle of which the crux is the positioning of the irregular shaped piece. The earliest T puzzles date from around 1900 and were distributed as promotional giveaways.
During the 1970s, it was one of several Iraqi airfields upgraded under project "Super-Base" in response to the experiences from Arab- Israeli wars in 1967 and 1973. Companies from Yugoslavia – previously engaged in building bridges in Iraq – became involved in airfield construction. Due to their specific construction of these airfields – which included taxi-ways leading right out of Hardened Aircraft Shelters (HAS) and laid diagonally to the runways – they became known as "Trapezoids" or "Yugos". The protection of each HAS consisted of one meter thick concrete shells, reinforced by 30 cm thick steel plates.
The polygon-circle graphs are a generalization of the circle graphs, which are intersection graphs of the chords of a circle, and the trapezoid graphs, intersection graphs of trapezoids that all have their vertices on the same two parallel lines. They also include the circular arc graphs.Spider graphs, Information System on Graph Classes and their Inclusions, retrieved 2016-07-11. Polygon-circle graphs are not, in general, perfect graphs, but they are near-perfect, in the sense that their chromatic numbers can be bounded by an (exponential) function of their clique numbers..
Radial distortion is a failure of a lens to be rectilinear: a failure to image lines into lines. If a photograph is not taken straight-on then, even with a perfect rectilinear lens, rectangles will appear as trapezoids: lines are imaged as lines, but the angles between them are not preserved (tilt is not a conformal map). This effect can be controlled by using a perspective control lens, or corrected in post-processing. Due to perspective, cameras image a cube as a square frustum (a truncated pyramid, with trapezoidal sides)—the far end is smaller than the near end.
In mathematics, a Riemann sum is a certain kind of approximation of an integral by a finite sum. It is named after nineteenth century German mathematician Bernhard Riemann. One very common application is approximating the area of functions or lines on a graph, but also the length of curves and other approximations. The sum is calculated by partitioning the region into shapes (rectangles, trapezoids, parabolas, or cubics) that together form a region that is similar to the region being measured, then calculating the area for each of these shapes, and finally adding all of these small areas together.
According to F.J. Fortea, this last complex may be divided further into three phases, differentiated according to the dominant geometric figures. The first phase is characterized by an abundance of trapezoids, the second by triangles, and the third by a beveled geometry.Fortea 1971Fortea 1973 Settlements in the Valencian Community expanded considerably during the Mesolithic, increasing in number and even scattering throughout Castellón province, where few pre-Mesolithic artifacts have been found. Among the various settlements are Cueva de la Cocina, Cova Fosca, Cova de Santa Maira, Tossal de la Roca, Abric de les Malledetes, Cova dels Balus, and Cova Matutano.
Open Artwork System Interchange Standard (OASISThe trade name OASIS is a registered trademark in the USA of Thomas J. Grebinski, Alamo, California and licensed for use exclusively by SEMI.) is a language used by computers to represent and express an electronic pattern for an integrated circuit during its design and manufacture. The language defines the code required for geometric shapes such as rectangles, trapezoids, and polygons. It defines the type of properties each can have, how they can be organized into cells containing patterns made by these shapes and defines how each can be placed relative to each other.
Boyceau's Luxembourg parterre design follows p. 87 of Traité du jardinage (at Gallica). Basically a square within a square, it was crowned at the far end by a half circle the width of the inner square. The great square was centered on a pool of water with a single jet in a sunken plat surrounded by four sloped spandrel compartments, each incorporating an inward-facing monogram of Marie de' Medici (the letter "M" surmounted by the royal crown), and outside this, four framing trapezoids interrupted at their centers by circular motifs bearing outward-facing, smaller versions of the monogram.
Salum Air Base was a primary air base for the Iraqi Air Force. At each end of the main 10,000-foot runway are a dozen hardened aircraft shelters known as "Trapezoids" or "Yugos" which were built by Yugoslavian contractors some time prior to 1985 with multiple runways and taxiways, patterned after their Russian counterparts. The base was heavily attacked by Coalition airpower during Operation Desert Storm in January 1991, and abandoned by the Iraqi Air Force after the cease fire in late February. It was seized by Coalition ground forces during Operation Iraqi Freedom in March 2003.
Ar Rumaylah Air Base was a primary air base for the Iraqi Air Force. At each end of the main 10,000-foot runway are a dozen hardened aircraft shelters known as "Trapezoids" or "Yugos" which were built by Yugoslavian contractors some time prior to 1985 with multiple runways and taxiways, patterned after their Russian counterparts. The base was heavily attacked by Coalition air power during Operation Desert Storm in January 1991, and seized by the U.S. 3rd Armored Cavalry Regiment in February 1991. It was abandoned by the Iraqi Air Force after the cease fire in late February.
The problems of finding maximum cliques and of coloring trapezoid graphs are connected to channel routing problems in VLSI design. Given some labeled terminals on the upper and lower side of a two-sided channel, terminals with the same label will be connected in a common net. This net can be represented by a trapezoid containing the rightmost terminals and leftmost terminals with the same label. Nets may be routed without intersection if and only if the corresponding trapezoids do not intersect. Therefore, the number of layers needed to route the nets without intersection is equal to the graph’s chromatic number.
The remaining 9 rhumblines (to complete the 16 winds) are projected from each vertex towards the exterior of the hexadecagon, although in some portolans those 9 lines do not appear. The lines of the courses for the eight main directions (or winds) are drawn with black ink (or sometimes gold); the eight intermediate directions (half-winds) are drawn in green; and in the case of a 32 winds rose, the sixteen remaining (quarter-winds) are drawn in red. The intersection of this set of "rhumblines" determine on the portolans a varied pattern of symmetrical squares, parallelograms, trapezoids and triangles.
It is named after the type site at Fère-en-Tardenois in the Tardenois region in France, where E. Taté first discovered its characteristic artifacts in 1885. Characteristic artifacts differ from earlier industries by the presence of geometric microliths, microburin, scalene triangles, trapezoids and chisel- ended arrowheads and small flint blades made by the pressure-technique. The term is also used for several microlithic industries and sites in northern Italy and Eastern Europe and to distinguish the northern French Tardenoisian sites from the Sauveterrian industry in southern France. The Tardenoisian followed the Ahrensburgian, with which it was paralleled, and lasted from about 9.000 BC until 6.000 in the Neolithic.
Every antiparallelogram has an axis of symmetry through its crossing point. Because of this symmetry, it has two pairs of equal angles as well as two pairs of equal sides. Together with the kites and the isosceles trapezoids, antiparallelograms form one of three basic classes of quadrilaterals with a symmetry axis. The convex hull of an antiparallelogram is an isosceles trapezoid, and every antiparallelogram may be formed from the non-parallel sides (or either pair of parallel sides in case of a rectangle) and diagonals of an isosceles trapezoid.. Every antiparallelogram is a cyclic quadrilateral, meaning that its four vertices all lie on a single circle.
The goaltender trapezoids behind each goal, added by the NHL before the 2005–06 season, were widely viewed as singling out Brodeur for his puck- handling skills. After the 2004–05 lockout and before the start of the 2005–06 season, the league instituted a new rule preventing goaltenders from playing the puck behind the goal line, except within a trapezoid-shaped zone located behind the net. The trapezoid began at the goal line with angled lines six feet from each goal post and widened to 28 feet at the end boards. Former Flyers general manager Bobby Clarke was one of the leaders in getting the trapezoid implemented.
Bases are commonly used (together with heights) to calculate the areas and volumes of figures. In speaking about these processes, the measure (length or area) of a figure's base is often referred to as its "base." By this usage, the area of a parallelogram or the volume of a prism or cylinder can be calculated by multiplying its "base" by its height; likewise, the areas of triangles and the volumes of cones and pyramids are fractions of the products of their bases and heights. Some figures have two parallel bases (such as trapezoids and frustums), both of which are used to calculate the extent of the figures.
A graph has boxicity at most one if and only if it is an interval graph; the boxicity of an arbitrary graph G is the minimum number of interval graphs on the same set of vertices such that the intersection of the edges sets of the interval graphs is G. The intersection graphs of arcs of a circle form circular-arc graphs, a class of graphs that contains the interval graphs. The trapezoid graphs, intersections of trapezoids whose parallel sides all lie on the same two parallel lines, are also a generalization of the interval graphs. The connected triangle-free interval graphs are exactly the caterpillar trees..
Al Muhammadi was primarily a ground military facility for the Iraqi Army prior to Operation Iraqi Freedom (OIF). Two large military areas can be seen in aerial imagery to the west and south of the airfield. The airfield, classified by the IATA as a small civilian airport, consists of a 10,000-foot runway with several hardened military aircraft shelters knowns as "Trapezoids" or "Yugos" which were built by Yugoslavian contractors some time prior to 1985. The base was heavily attacked by Coalition airpower during OIF; aerial imagery shows numerous bomb craters scattered throughout the airfield area, with the army facilities having large numbers of damaged, roofless buildings.
According to the Gulf War Air Power Survey, there were 24 Hardened Aircraft Shelters at Al Taqaddum. At each end of the main runway are hardened aircraft shelters knowns as a HAS (pronounced Haas), "trapezoids" or "Yugos" which were built by Yugoslavian contractors some time prior to 1985. Various units of the U.S. Army found numerous MIG-21, MiG 25 and Su 25 Iraqi Air Force fighter jets partially buried in the area, presumably from the time of the Gulf War. By January 2004, almost all of the dozens of aircraft had been removed by the local citizens and burned, evidently, for scrap metal.
On the Red Room side of the wall, a false door was cut into the wall south of the now-sealed central door, and the false door north of the now-sealed door also concealed. An oval ceiling fresco with curved trapezoids, designed Thomas Ustick Walter, was added in 1853. A jib (or disguised) door was cut through the false door to the Red Room in 1891, and a second jib door cut through to the Green Room south of the fireplace in 1902. The ceiling medallion and cornice moldings were altered by architect Edward Vason Jones during the Nixon administration to more closely resemble early 1800s styles.
A Mayo-Smith pyramid is a triangle divided into a sequence of isosceles trapezoids configured such that the outer perimeter maintains the shape of a triangle with each additional element. A Mayo-Smith pyramid is used to describe system development methodologies adapted for scenarios characterized by schedule and resource uncertainty. "Two Ways to Build a Pyramid" was published in 2001. In this, the Mayo-Smith pyramid sequence (see Figure B) is used to illustrate a specific case study, and contrasted with a less favorable sequence (see Figure A). While Mayo-Smith's pyramid is typically depicted as a two dimensional sequence, it may also be depicted in three dimensions.
Stephen Westfall’s paintings have charted a course between post-minimalist geometries and a Pop inflected awareness of a painting as a thing in the world. The brightly colored diamonds, triangles and trapezoids in his most recent canvases are conjoined into dynamic compositional skeins that seem to lean into space rather than recede. Drawing on Caucasian and Navajo Rug, medieval heraldry, Byzantine floor tile, early twentieth-century abstraction, architecture and Pop, Minimalist and Postminimalism, Westfall’s abstraction is deeply acculturated while formally honed into an active, perceptual immediacy. 291x291pxOver the course of the last decade, Westfall has focused his work to address architecture more directly and wall paintings have become his way to fuse paintings to architectural scale.
16×8-grid showing the 128 states of a seven-segment display The seven elements of the display can be lit in different combinations to represent the Arabic numerals. Often the seven segments are arranged in an oblique (slanted) arrangement, which aids readability. In most applications, the seven segments are of nearly uniform shape and size (usually elongated hexagons, though trapezoids and rectangles can also be used), though in the case of adding machines, the vertical segments are longer and more oddly shaped at the ends in an effort to further enhance readability. The seven segments are arranged as a rectangle of two vertical segments on each side with one horizontal segment on the top, middle, and bottom.
Ultra Spheroid (Gold Aqua)", 2017, blow-molded acrylic, 90x42x12 inches, 229x107x33 cm, Perez Art Museum Miami (PAMM). Christopher Knight, art critic for the LA Times writes, "Sleek sculptural objects with misty, mercurial surfaces and at least partial inspiration from aerospace technology have not lost their appeal in more than half a century. In Los Angeles, first there was Craig Kauffman, then Helen Pashgian and now Gisela Colon…..Colon's wall-bound " pods" [are created] in a variety of whimsical, organic shapes — lozenges, softened trapezoids and freeform globules — as if conceived with a kid's giant bubble wand. Most sport a multicolored nucleus made from layers of colored plastics, which glows brightly if mysteriously within the paler milky form.
In February 2007, a short statement from Allman was posted on the band's message board, reading, "I am making a solo record". Carlton Bost then joined The Dreaming full-time. On April 16, 2007, a MySpace bulletin was posted with a statement by Alec Puro, who wrote, "As you all know we are going to be taking a short break from Deadsy so Elijah can make a solo record and I can continue scoring projects I wasn't able to do from the road". In early 2008, Elijah Blue and the Trapezoids was revealed as the name of Allman's solo project, though as of 2016, the project has yet to release anything more than three demos on its MySpace page.
Oba and Two Attendants, from the collection of the Brooklyn Museum Chiefs and titleholders in Benin wear a variety of brass ornaments as part of their elaborate regalia for palace ceremonies. Most are worn at the left hip, covering the closure of their wrapped skirts. Typically made of brass, they are often worn horizontally and are held in place by large loops located at the top and bottom of the back of the ornament. Pectoral masks depict a human face symmetrically framed by an ornamental flange with loops for small metal rattles, called crotals, at the bottom, below the ears, and by a row of projecting trapezoids at the top, above the ears.
In addition to Kelpe's two murals, Ilya Bolotowsky, Albert Swinden and Balcomb Greene each created one. Kelpe's detailed murals, which include various geometric shapes such as triangles, rectangles, trapezoids, and circles, differ from the others in the project by their unique color juxtapositions, their striped, gridded, or bubbled patterns, and their sculpture-like structures. A critic for New York magazine writes that Kelpe's work "looks best of all; his allegiance to Synthetic Cubism may have weighted favor against him at the time, but now his pair of canvases seem masterly in their subtle balance of oranges and greens, and their purely abstract hints of Picassoid guitars – real jazz-age exuberance." The murals, owned by the New York City Housing Authority, are on loan to the Brooklyn Museum.
An overfilled skip Drone footage taken above a skip hire yard at Porthmadog, Wales A skip (British English, Australian English, Hiberno-English and New Zealand English) is a large open-topped waste container designed for loading onto a special type of lorry. Instead of being emptied into a bin lorry on site, as a wheelie bin is, a skip is removed, or replaced by an empty skip, and then tipped at a landfill site or transfer station (waste management). Typically skip bins (skips) have a distinctive shape: the longitudinal cross- section of the skip bin is either a trapezoid or two stacked trapezoids. The lower trapezoid has the smaller edge at the bottom of the skip bin, and a longer edge at the top.
A space-filling tessellation, the trapezo-rhombic dodecahedral honeycomb, can be made by translated copies of this cell. Each "layer" is a hexagonal tiling, or a rhombille tiling, and alternate layers are connected by shifting their centers and rotating each polyhedron so the rhombic faces match up. :320px:260px In the special case that the long sides of the trapezoids equals twice the length of the short sides, the solid now represents the 3D Voronoi cell of a sphere in a Hexagonal Close Packing (HCP), next to Face-Centered- Cubic an optimal way to stack spheres in a lattice. It is therefore similar to the rhombic dodecahedron, which can be represented by turning the lower half of the picture at right over an angle of 60 degrees.
In one variation such good behavior is motivated by assigning each area a number of bonus squares which advance the player who frees a stuck player. In other variations, the freeing player gets a number of bonus turns equal to the last number in the number the stuck player had reached before getting stuck. After the player completes the circuit from "1" to "12" and successfully flicks into the square labeled "13", a circuit of the four trapezoids surrounding the "13" square must be made. The circuit of these must be performed in succession in a single turn, with the player saying "I" in the first, "am" in the second, "a" in the third, and finally "killer" in the fourth, or a variation, such as "I'm", "a", "killa".
Also outstanding was its high performance and perfect balance at all speeds, thanks to the balance shaft with counterrotating masses under the crankshaft. The engine had two interchangeable cylinder heads, one for each group of three cylinders, and cylinder liners of a special cast iron. It was a 7.5 l 120° V6 machine, delivering initially 110 and later 120 horsepower, enough for the vehicle to reach a top speed of 90 km/h, with its maximum weight of 11,320 kg Another of the fundamental characteristics of the Z-207 was the independent front suspension with two superimposed trapezoids with helicoidal springs, each with a corresponding shock absorber offering a degree of comfort hitherto never attained in an industrial vehicle. A big spring joined both wheels, so guaranteeing great strength even in full load.
NBC updated its image in 1975 with the introduction of an abstract "N," a bold, bright and contemporary design consisting of two trapezoids – one red and one blue. One of the technological innovations of this logo was its use in the first electronically animated ident for an American television network. On the January 10, 1976 episode of NBC's Saturday Night (now Saturday Night Live), Weekend Update host Chevy Chase and Gilda Radner mocked the new logo and its $1 million design cost (at the end of Chase's comments, Radner appeared as the "Dancing 'N'," with an NBC logo- shaped costume covering her head and upper torso).NBC's Saturday Night, January 10, 1976 (season 1, DVD 3) In February 1976, Nebraska ETV (now Nebraska Educational Telecommunications), the PBS member network for Nebraska, filed a trademark infringement lawsuit against NBC.
Originally raised and put into position by Gonçalves and others in 1972, they are arranged around a large phallic menhir, which is about 4.50 meters high and weighs 7 tons. Seven menhirs, including the central one, are decorated with different motifs that show strong similarities to the designs identified in other monuments of the same type in the region, such as the better-known Almendres Cromlech. In 1998, as part of the efforts to minimize the impact on Portugal’s heritage resulting from the construction of the dam, Mário Varela Gomes of the New University of Lisbon (Universidade NOVA de Lisboa) excavated the site, identifying a diverse set of highly fragmented items, including lithic artefacts (trapezoids and flakes in silica, silicon shale, quartz and quartzite), and some fragments of ceramic containers, such as decorated cups. At the time, Gomes apparently saw no reason to contradict the findings of Gonçalves.
James found a more supportive and sympathetic community of prominent writers and quiltmakers, like Jean Ray Laury and Jeffrey and Beth Gutcheon, at the first major quilt symposium and exhibition in Ithaca, New York, in August 1976—the Finger Lakes Bicentennial Quilt Exhibit. He reconnected with them again in July of the following year, when he traveled farther afield to the Lincoln Quilt Symposium in Lincoln, Nebraska, where he delivered an address entitled "Contemporary Quilt Art and Artists." The symposium that year attracted 600 attendees from forty states. In 1977, James's first solo exhibition of quilts was shown at Bridgewater State College in Massachusetts and included Tossed Salad, Razzle Dazzle, Elaborated Tangram, and Night Sky I. With the exception of Night Sky I, the quilt tops were assembled with varied combinations of hand and machine piecing using straight-edged shapes—squares, triangles, and trapezoids.
The game was published in three different formats by SPI alone; in a simple white box (a trademark of early SPI games), in a "very" common SPI black box/tray, and a "Designer's Edition" with color box and mounted mapboards. A set of "footnotes" (actually optional rules) was included, covering such things as sewer movement/combat. The mapboard was unique in depicting buildings as trapezoids (technically, parallelograms, though printed material related to the game usually uses the more general term trapezoid) - the abstracted shapes allowed for consistency in Line of Sight rules. The game included 1 34" x 22" Map, 2 Sniper charts and tables, Game Rules, 1 Pad of Simultaneous Movement Sheets, 1 tray with game pieces, two sets of 2 tanks, two sets of 2 APCs and two sets of 2 trucks as well as 400 die-cut counters in two colors, olive green for Allies and Grey for Germans, with information counters in white.
This is because, when building a roof for a home – having a cross section be exactly an isosceles triangle isn't crucial (as it's the ridge of the roof that must fit precisely), in contrast a symmetric square pyramid cannot have errors in the base angles of the faces or they will not fit together tightly. Historian D.R. Dicks agrees that compared to the Greeks in the era of Thales, there was a more advanced state of mathematics among the Babylonians and especially the Egyptians – "both cultures knew the correct formulae for determining the areas and volumes of simple geometrical figures such as triangles, rectangles, trapezoids, etc.; the Egyptians could also calculate correctly the volume of the frustum of a pyramid with a square base (the Babylonians used an incorrect formula for this), and used a formula for the area of a circle...which gives a value for π of 3.1605—a good approximation." Dicks also agrees that this would have had an effect on Thales (whom the most ancient sources agree was interested in mathematics and astronomy) but he holds that tales of Thales' travels in these lands are pure myth.

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