Is it just for fans of geometry and octagons specifically?
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The song was written to teach kids about different shapes like pentagons and octagons.
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This just in: Nick Jonas gets all hot and bothered when he sees pentagons and octagons.
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"Octagons are a Stern thing," Mr. Moran noted, referring to the eight-sided open living room.
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The living room featured a plasma TV, a stainless steel bar, colorful abstracts of octagons and squares.
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The octagons and squares in the dining room rug exuded a strong sense of character, as did the nearby studio space.
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But what they suggest, unlike the octagons, is that as long as they're really inextricable, several incomplete attempts can merge into one perfect, irreducible new shape.
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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.
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Some of the warnings already adopted or proposed include black boxes or red octagons that draw attention to foods that regulators deem unhealthy, using less intense imagery but the same approach as cigarette packaging.
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These domes were often shaped as octagons to represent the geometric middle ground between the circle, which represented perfection and the heavens, and the square, which stood for the earth and the life of man.
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Ismael, who had received a master's degree in geophysics from the University of Houston, had begun aggregating information from Sinjar onto maps, marking fleeing Yazidis with stick figures in wheelchairs and ISIS positions with red octagons.
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The Wyoming School for the Deaf, designed in 1962, featured classrooms shaped like pentagons and octagons instead of rectangles; more sides allowed students to better form a circle around the teacher as he signed lessons to them.
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Spend some time with the rooms, however, and you realize that the huge feeling of height is an illusion, the expansion of the space a clever play with shape, amplified by features including an atrium of concentric octagons.
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Conor McGregor just got called the HELL out, and not by a scrub either ... The guy doing the talking is 28-0 welterweight champ Keith "One Time" Thurman, who says he'd destroy Conor on any shaped mat -- that includes Octagons.
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As a result many early Christian martyriums (churches bearing "witness to the Christian faith by referring to an event in Christ's life ... or sheltering the grave of a martyr") and baptiseries (areas of a church set aside for baptisms) were built as octagons.
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The corners of the smoothed octagon can be found by rotating three regular octagons whose centres form a triangle with constant area. By considering the family of maximally dense packings of the smoothed octagon, the requirement that the packing density remain the same as the point of contact between neighbouring octagons changes can be used to determine the shape of the corners. In the figure, three octagons rotate while the area of the triangle formed by their centres remains constant, keeping them packed together as closely as possible. For regular octagons, the red and blue shapes would overlap, so to enable the rotation to proceed the corners are clipped by a point that lies halfway between their centres, generating the required curve, which turns out to be a hyperbola.
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The game board consists of regular octagons and squares, tiled such that each square is surrounded by four octagons. Players first take turns to place square tiles on the squares to set up the game. They then place octagonal tiles around the squares. Each square tile is worth a number of victory points, and each octagonal tile contains a number of each player's influence markers.
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Moufang 8-gons are also called Moufang octagons. They were classified by Tits, where he showed that they all arise from Ree groups of type ²F₄.
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No such results are known without making any further assumptions for generalized hexagons or octagons, even for the smallest case of three points on each line.
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Illuminated by windows hidden from a viewer below, interlocking octagons, crosses and hexagons diminish in size as the dome rises to a lantern with the symbol of the Trinity.
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In the center of the medallions there are small octagons framed by ornamental patterns (medahil and koshajag). The center field is surrounded by a common border, which consists of eight stripes.
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Five objects in the collection depict prancing, open- mouthed deer within octagons, which is the most prized design for Swedish textiles. One particularly elaborate bed covering has six octagons each containing pictorial scenes of people or horses. An interlocked tapestry depicts (mythological horses with horns) and a linen cloth with extra-weft patterning depicts lions. Dove-tail tapestries tend to be more pictorial and realistic than the other types of textiles, and this is reflected in the collection by tapestries depicting the Annunciation, red lions, and naturalistic floral arrangements.
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One of the early Western students of Islamic patterns, Ernest Hanbury Hankin, defined a "geometrical arabesque" as a pattern formed "with the help of construction lines consisting of polygons in contact." He observed that many different combinations of polygons can be used as long as the residual spaces between the polygons are reasonably symmetrical. For example, a grid of octagons in contact has squares (of the same side as the octagons) as the residual spaces. Every octagon is the basis for an 8-point star, as seen at Akbar's tomb in Agra (1605–1613).
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3D model of a cubitruncated cuboctahedron In geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16. It has 20 faces (8 hexagons, 6 octagons, and 6 octagrams), 72 edges, and 48 vertices.
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In geometry, the trioctagonal tiling is a semiregular tiling of the hyperbolic plane, representing a rectified Order-3 octagonal tiling. There are two triangles and two octagons alternating on each vertex. It has Schläfli symbol of r{8,3}.
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Uniform tilings are listed by their vertex configuration, the sequence of faces that exist on each vertex. For example 4.8.8 means one square and two octagons on a vertex. These 11 uniform tilings have 32 different uniform colorings.
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The Dyck graph is the skeleton of a symmetric tessellation of a surface of genus three by twelve octagons, known as the Dyck map or Dyck tiling. The dual graph for this tiling is the complete tripartite graph K4,4,4...
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Other names used for this pattern include Mediterranean tiling and octagonal tiling, which is often represented by smaller squares, and nonregular octagons which alternate long and short edges. There are 3 regular and 8 semiregular tilings in the plane.
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More complex and difficult to describe is the magnificence and sumptuousness of the ceiling that covers the Throne Room. Its dimensions are very considerable ( in length by 8 in width) and its Artesonado coffered ceiling is supported by thick beams and sleepers decorated with laqueus that at intersections form eight-pointed stars, while generating thirty large and deep square coffins. Inside these coffins are inscribed octagons with a central flower of curly leaf that finish in large hanging pine cones that symbolize fertility and immortality. This ceiling was reflected in the ground, which reproduces the thirty squares with their respective octagons inscribed.
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Interlocked tapestry, (Two Reindeer in Octagons with People) from Ingelstads or Herrestads district, Scania, first half of the 19th century The hundred art works in Khalili collection show the variety as well as the skill of Swedish textile artists. The collection is particularly strong in interlocked tapestries and dove-tail tapestries, but also has examples of the other techniques. Some of the designs are repeating patterns while some have a design constructed around a central motif. Very common motifs are people, animals or birds within octagons or circles, and most permutations of creature and geometric shape are represented in the collection.
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3D model of a small rhombihexahedron In geometry, the small rhombihexahedron (or small rhombicube) is a nonconvex uniform polyhedron, indexed as U18. It has 18 faces (12 squares and 6 octagons), 48 edges, and 24 vertices. Its vertex figure is an antiparallelogram.
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In geometry, the octagonal tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {8,3}, having three regular octagons around each vertex. It also has a construction as a truncated order-8 square tiling, t{4,8}.
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Hypostyle mosques usually entail multiple columns that support a smooth and even wall. In India, traditionally Indian stone columns of different shapes such a circles, squares and octagons, were incorporated into some mosques. Finally, engaged columns were introduced into decorate Islamic buildings.
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The turrets have square bases that broach to octagons. The bell openings are gabled and above them are spirelets. At the west end of the nave is a five-light window containing Perpendicular tracery. Beneath the window and between the turrets is the baptistry.
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As a zonohedron, it can be constructed with all but 12 octagons as regular polygons. It has two sets of 48 vertices existing on two distances from its center. It represents the Minkowski sum of a cube, a truncated octahedron, and a rhombic dodecahedron.
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Two two-story stucco-faced hipped-roofed three-by-two bay pavilions project from the north. These are used as living spaces. The smaller pavilions on the south, which take the shapes of octagons and staggered squares, house the kitchen, living and dining rooms.
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There are also one-story curved porches with smaller Ionic columns that connect the octagons of wings to the central block. It was built by Henry W. Livingston (1768-1810). See also: It was added to the National Register of Historic Places in 1971.
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In the treatment Val has them wear a laser pointer on their head. With specific body parts they must touch numbered octagons on the floor that add up to a specified number, and aim the laser in an octagon on the wall for a certain amount of time. No other part of their body may touch the floor except the ones used for the octagons. If they cannot do a round, then they must do a penalty round where they lie on the floor on their backs and lift their head to aim the laser at the octagon for a certain amount of time.
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3D model of a small cubicuboctahedron In geometry, the small cubicuboctahedron is a uniform star polyhedron, indexed as U13. It has 20 faces (8 triangles, 6 squares, and 6 octagons), 48 edges, and 24 vertices. Its vertex figure is a crossed quadrilateral. The small cubicuboctahedron is a faceting of the rhombicuboctahedron.
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A mikoshi in Jak Japan Matsuri 2018 Woman mikoshi Children mikoshi (Sanja Matsuri) Japan's largest (Tomioka Hachiman Shrine) Utagawa Hirokage Typical shapes are rectangles, hexagons, and octagons. The body, which stands on two or four poles (for carrying), is usually lavishly decorated, and the roof might hold a carving of a phoenix.
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Before the advent of eyeglasses as a fashion item, when frames were constructed with only functionality in mind, virtually all eyeglasses were either round, oval, rectangular or curved octagons. It was not until glasses began to be seen as an accessory that different shapes were introduced to be more aesthetically pleasing than functional.
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The Schur multiplier is trivial. The outer automorphism group is cyclic of order 2n + 1\. These Ree groups have the unusual property that the Coxeter group of their BN pair is not crystallographic: it is the dihedral group of order 16. showed that all Moufang octagons come from Ree groups of type .
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Five of the towers radiate from a three-story central tower. A sketch of Fonthill's octagons among the papers of Alexander Jackson Davis suggests that he had some part in its design, although it has also been attributed to Thomas C. Smith. In 1942, the castle became the Elizabeth Seton Library and, in 1969, the college admissions office.
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Passer, pp. 92-93. The stamps have an intricate design incorporating the tughra and the bridge at Larissa and are of interest for their unusual octagonal shape and perforations which permit them to be separated into either squares or octagons. They are the first postage stamps ever issued octagonally perforated.Rick Miller, 'Stamps Issued for Use in Foreign Countries', Linns.com.
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Poplar Forest, note the octagonal design One characteristic which typifies Jefferson's architecture is the use of the octagon and octagonal forms in his designs. Palladio never used octagons, but Jefferson employed them as a design motif—halving them, elongating them, and employing them in whole as with the dome of Monticello, or the entire house at Poplar Forest.
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The Bombardier BiLevel Coach is a bilevel passenger railcar currently built by Bombardier Transportation and previously built by Hawker Siddeley Canada, the Canadian Car and Foundry (Can Car) or the UTDC. They are designed to carry up to 360 passengers for commuter railways. These carriages are easily identifiable: they are double-decked and are shaped like elongated octagons.
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Nikolaus Pevsner described the hall's Regency interiors as "exceptionally fine".Pevsner & Hubbard, p. 29 The four-bay drawing room has a shallow tunnel-vaulted ceiling, panelled in rectangles and octagons and decorated with foliage scrolls, and a frieze with gilt palmettes. At the west side of the room, a screen of two unfluted columns and two Corinthian pilasters supports a decorative beam.
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The first type of Ganja carpets is characterized by designs composed of octagons, stars, or three geometric medallions arranged on the carpets` longitudinal axis. The carpets` color is usually blue, dark blue and madder red. The intermediate area of the second type of Ganja carpets is decorated with several lakes. These lakes are often found in cross and octagonal form.
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In the transepts are two-light Decorated windows, with a rose window above them. The tower rises for two stages above the body of the church, and has angle buttresses that rise to octagons and end in pinnacles. In the south east corner of the tower is an octagonal stair turret. The bell openings are in pairs, louvred, and contain plate tracery.
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The ceiling is designed in patterns of octagons and squares. Also in the lobby are the elevators, which contain marble-and-bronze doors and are located in the central section of the "H". Banking spaces and storefronts are also located on the ground floor, accessible from the lobby. To the southeast and northwest, marble stairs with balustrades lead to the basements and second floor.
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They show laurel wreathes forming circles and octagons with geometric and floral motifs. They border two other rooms that retain figurative mosaics. In the first of these rooms a very damaged mosaic contains a panel with scenes of the ransom of the body of Hector. In this scene Odysseus, Achilles and Diomedes, identified by inscriptions in Ancient Greek, are weighing the body of the hero.
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In geometry, the truncated square tiling is a semiregular tiling by regular polygons of the Euclidean plane with one square and two octagons on each vertex. This is the only edge-to-edge tiling by regular convex polygons which contains an octagon. It has Schläfli symbol of t{4,4}. Conway calls it a truncated quadrille, constructed as a truncation operation applied to a square tiling (quadrille).
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Chancellor Green Library, Princeton University (1871-73). St Martin's Church, Harlem, New York City (1888). Chancellor Green Library (1871–1873) for Princeton University was Potter's first major commission. In it, he took the High Victorian Gothic vocabulary and octagonal form used by his half-brother for the Nott Memorial at Union College, and elaborated it into a complex interplay of octagons of various sizes and shapes.
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The ancient fortress wall of Chengdu, high and long, was built during the Qing Empire Era. Surrounding the city, the wall's bottom measures wide while the top measures wide, almost equivalent to the width of a street. 8,122 crenels, four octagons and four turrets were built on the wall. Four gates were constructed on all sides of the wall, with hibiscus trees planted outside.
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The proscenium arch, rising to above the stage floor, is decorated with alternating octagons, foliated candelabras and other foliate motifs. On either side it has fluted Corinthian pilasters and engaged columns with Adamesque carvings in the surrounding walls. It is topped by a highly detailed entablature, its cornice decorated with lions' heads, anthemion leaves, dentils and egg-and-dart molding. The frieze features steer skulls, candelabras, shields and swag.
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Henry W. Livingston House, also known as "The Hill", is a historic home located at Livingston in Columbia County, New York. It was built in 1803 and is a massive, two-story brick dwelling coated in stucco. It has a three-bay central block with wings that terminate in octagons. The central block features curved bays and a two-story portico with four Ionic order columns and cut stone stylobate.
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The earliest form of girih on a book is seen in the frontispiece of a Quran manuscript from the year 1000, found in Baghdad. It is illuminated with interlacing octagons and thuluth calligraphy. In woodwork, one of the earliest surviving examples of Islamic geometric art is the 13th- century minbar (pulpit) of the Mosque of Ibn Tulun, Cairo. Girih patterns can be created in woodwork in two different ways.
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A pergola with protruding rafters originating from the girder connected the bevels. The central tower which contains the main entrance of the building has a rigid arch and capped by elongated octagons that bordered a display. The parapet on the topmost part has floral arrangement on an urn with equally distant low-relief medallions. The main entrance is located below the central tower which leads to the elevator and the stairwell.
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The main entrance was behind an elaborate aluminum gate, decorated with octagons, spirals and floral patterns. At the sides of the entrance were limestone panels with floral patterns carved into relief. Inside the public lobby of the building were walls and floors made of light tan Botticino marble, the latter in a terrazzo pattern. The rest of the building used rubber tile for flooring, colored green and brown.
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M24 can be constructed from symmetries of the Klein quartic, augmented by a (non-geometric) symmetry of its immersion as the small cubicuboctahedron. M24 can be constructed starting from the symmetries of the Klein quartic (the symmetries of a tessellation of the genus three surface), which is PSL(2,7), which can be augmented by an additional permutation. This permutation can be described by starting with the tiling of the Klein quartic by 56 triangles (with 24 vertices – the 24 points on which the group acts), then forming squares of out some of the 2 triangles, and octagons out of 6 triangles, with the added permutation being "interchange the two endpoints of those edges of the original triangular tiling which bisect the squares and octagons". This can be visualized by coloring the triangles – the corresponding tiling is topologically but not geometrically the t0,1{4, 3, 3} tiling, and can be (polyhedrally) immersed in Euclidean 3-space as the small cubicuboctahedron (which also has 24 vertices).
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Some of them, he wrote, were of silk. In 1403-05 Ruy González de Clavijo was the ambassador of Henry III of Castile to the court of Timur, founder and ruler of the Timurid Empire. He described that in Timur's palace at Samarkand, "everywhere the floor was covered with carpets and reed mattings". Timurid period miniatures show carpets with geometrical designs, rows of octagons and stars, knot forms, and borders sometimes derived from kufic script.
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120px Vertex figure for the omnisnub cubic antiprism Also related is the bialternatosnub octahedral hosochoron, constructed by removing alternating long rectangles from the octagons, but is also not uniform. It has 40 cells: 2 rhombicuboctahedra (with Th symmetry), 6 rectangular trapezoprisms (topologically equivalent to a cube but with D2d symmetry), 8 octahedra (as triangular antiprisms), 24 triangular prisms (as Cs-symmetry wedges) filling the gaps, and 48 vertices. It has [4,(3,2)+] symmetry, order 48.
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Double hexagons and octagons are the most common variations. Since the introduction of #H#V mixed- order schemes by Travis (2009),Travis, Chris, A new mixed-order scheme for Ambisonic signals , Ambisonics Symposium, Graz 2009 stacked rings can be operated at their full horizontal resolution even for elevated sources. #H#V decoding matrices for common layouts are available from Adriaensen (2012). Triple rings are rare, but have been used to good effect.
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The Palmer Brother's Octagons are two historic octagonal houses built by brothers, Dr. Horace Palmer and Monroe Palmer in or near West Salem, Wisconsin. The Palmer-Gullickson Octagon House, the larger of the two, was built in 1856. With the help of Rachel Gullickson the West Salem Historical society was able to buy this house for preservation and use as a museum. It is located at 358 Leonard St. in West Salem.
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The more formal marcella version of the shirt fastens with matching shirt studs. These are most commonly in silver or gold settings, featuring onyx or mother-of-pearl; various geometrical shapes are worn, e.g., circles (most common for studs), octagons, or rectangles (most common for cufflinks). There has been no consistent fashion preference for gold or silver, but studs with mother-of- pearl are more formal and therefore often associated with white tie.
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Vases on the corners of the first octagon, installed in the 1770s, replaced the statues lost in 1723 (the vases were later regularly replaced and are now made of concrete). Window arches of the octagons were filled up with brick, rendering installation of bells impossible. Otherwise, sculptural finishes of this period were close to lost originals (present-day sculpture, again, is mostly concrete replica). Menshikov tower had no reliable heating facilities and was closed for the winters.
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Some considered that setting out also involved the > use of equilateral or Pythagorean triangles, pentagons, and octagons. Two > authors believe the Golden Section (or at least its approximation) was used, > but its use in medieval times is not supported by most architectural > historians. The Australian architectural historian John James made a detailed study of the Cathedral of Chartres. In his work The Master Masons of Chartres he says that Bronze, one of the master masons, used the golden ratio.
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They transition from square profiles at their bases to elaborated octagons at their peaks. Medieval artist Villard de Honnecourt made detailed drawings of one of the towers of Laon circa 1230; in his eyes, the towers at Laon perfectly utilized the geometry and "true measure" ideally expressed in Gothic architecture. The two western towers contain life-size stone statues of sixteen oxen in their upper arcades, seemingly commemorating the bullocks who hauled equipment and materials during the cathedral's construction.
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They had to cross their pods in octagons on the floor, or on a balance beam. There were also chains hanging from the ceiling as obstacles. The guests had to race to hit the green button, and the last person to hit it, eventually both the last two, had to do a penalty round. The penalty round consisted of putting the beam on their shoulders, and squatting against the wall for a certain time, increasing with each penalty.
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Koch, p.152-179 Marble is used exclusively as the base material for increasingly dense, expensive and complex parchin kari floral decoration as one approaches the screen and cenotaphs which are inlaid with semi-precious stones. The use of such inlay work is often reserved in Shah Jahani architecture for spaces associated with the emperor or his immediate family. The ordering of this decoration simultaneously emphasises the cardinal points and the centre of the chamber with dissipating concentric octagons.
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The Pythagorean tiling is the unique tiling by squares of two different sizes that is both unilateral (no two squares have a common side) and equitransitive (each two squares of the same size can be mapped into each other by a symmetry of the tiling).. Topologically, the Pythagorean tiling has the same structure as the truncated square tiling by squares and regular octagons.. The smaller squares in the Pythagorean tiling are adjacent to four larger tiles, as are the squares in the truncated square tiling, while the larger squares in the Pythagorean tiling are adjacent to eight neighbors that alternate between large and small, just as the octagons in the truncated square tiling. However, the two tilings have different sets of symmetries, because the truncated square tiling is symmetric under mirror reflections whereas the Pythagorean tiling isn't. Mathematically, this can be explained by saying that the truncated square tiling has dihedral symmetry around the center of each tile, while the Pythagorean tiling has a smaller cyclic set of symmetries around the corresponding points, giving it p4 symmetry., p. 42.
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This did not come to pass, and it was only through Kettle's direct intervention that the central part of the Octagon itself was not built on. As it is, the buildings between Moray Place and The Octagon include many of Dunedin's most prominent structures, and - though it may not have been Kettle's original intention - the concentric octagons of Moray Place and The Octagon are now undeniably the city's centre.Knight, H., and Wales, N. (1988) Buildings of Dunedin. Dunedin: John McIndoe Ltd.
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Designs show a lot of similarity across the different techniques, apart from dove-tail tapestry, whose designs are more realistic and naturalistic. Whereas stylised animals within octagons are a common motif for the other textiles, dove-tail tapestries more often have a naturalistic animal or bird within a circle. A textile creator would rarely venture beyond her own village, so her imagery would have been drawn from nature and from local superstition and religion. Another influence was textile art from other cultures.
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Schwarzites are negatively curved carbon surfaces originally proposed by decorating triply periodic minimal surfaces with carbon atoms. The geometric topology of the structure is determined by the presence of ring defects, such as heptagons and octagons, to graphene's hexagonal lattice. (Negative curvature bends surfaces outwards like a saddle rather than bending inwards like a sphere.) Recent work has proposed Zeolite-templated carbons (ZTCs) may be Schwarzites. The name, ZTC, derives from their origin inside the pores of zeolites, crystalline silicon dioxide minerals.
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The outermost sections of Hitchcock (Sections I & V) house primarily upper-class students. They have small hallways with six to eight residents per floor, many in single rooms. Section I is the farthest from the front desk of Hitchcock and each floor is mixed-sex with a shared bathroom. It has some of the largest rooms in Hitchcock Hall, and includes several rooms known as "octagons" which are located in a turret-like structure and have many windows overlooking 57th and Ellis.
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The notation such as (4,82) comes from Grünbaum and Shephard, and indicates that around a given vertex, going in the clockwise direction, one encounters first a square and then two octagons. Besides the eleven Archimedean lattices composed of regular polygons with every site equivalent, many other more complicated lattices with sites of different classes have been studied. Error bars in the last digit or digits are shown by numbers in parentheses. Thus, 0.729724(3) signifies 0.729724 ± 0.000003, and 0.74042195(80) signifies 0.74042195 ± 0.00000080.
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Mosque of Ibn Tulun: window with girih- style 10-point stars (at rear), with floral roundels in hexagons forming a frieze at front Jali are pierced stone screens with regularly repeating patterns. They are characteristic of Indo-Islamic architecture, for example in the Mughal dynasty buildings at Fatehpur Sikri and the Taj Mahal. The geometric designs combine polygons such as octagons and pentagons with other shapes such as 5- and 8-pointed stars. The patterns emphasized symmetries and suggested infinity by repetition.
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The Chehel Dokhtaran minaret in Isfahan (built 1107-1108) is one of the earliest example of brick work with triangles, squares, octagons, cruciform designs (another example, minaret of Saveh, has raised brickwork in Kufic and Nashki script). The Gunbad-i Sorkh monument in Azerbaijan (built in 1147) was made of ten different types of carved bricks in its corner columns. In the 12th century in Azerbaijan, bricks were combined with glazed tiles. Such bricks were typically cobalt blue and turquoise colored.
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200px Dormition Church of Kondopoga () was a Russian Orthodox Church in the city of Kondopoga, Kondopozhsky District of the Republic of Karelia. The church was located in the historic part of the city, in the former village of Kondopoga, on the shores of Lake Onega Kondopozhskaya Bay on a promontory jutting into Chupa Bay. Elevation Church was 42 meters. The height of the tent and log towers, two octagons and the quadrangle, and the quadrangular height and width was in the ratio of about 1:2.
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The Getty Tomb has been said to be the most significant piece of architecture in Graceland cemetery and the beginning of Sullivan's involvement in the architectural style known as the Chicago School. The tomb, which stands on its own triangular plot of land, is composed of limestone masonry construction. Roughly a cube in shape, the bottom half of the tomb is composed of large, smooth limestone blocks. The upper half is composed of a rectangular pattern of octagons, each containing an eight-pointed starburst design.
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Postage stamps of various shapes and sizes, from Italy, Yemen Arab Republic, France, and Hungary. The usual shape of a postage stamp is a rectangle, this being an efficient way to pack stamps on a sheet. A rectangle wider than tall is called a "horizontal design", while taller than wide is a "vertical design". A number of additional shapes have been used, including triangles, rhombuses, octagons, circles, and various freeform shapes including heart shapes, and even a banana shaped stamp issued by Tonga from 1969 to 1985.
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The cloisters were built in the late 13th century and largely rebuilt from 1430 to 1508 and have wide openings divided by mullions and transoms, and tracery in the Perpendicular Gothic style. The vault has lierne ribs that form octagons at the centre of each compartment, the joints of each rib having decorative bosses. The eastern range is of two storeys, of which the upper is the library built in the 15th century. Because Wells Cathedral was secular rather than monastic, cloisters were not a practical necessity.
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Thomas Jefferson designed and had built two brick octagons at his vacation home. Such outhouses are sometimes considered to be overbuilt, impractical and ostentatious, giving rise to the simile "built like a brick shithouse." That phrase's meaning and application is subject to some debate; but (depending upon the country) it has been applied to men, women, or inanimate objects. With regards to anal cleansing, old newspapers and mail order catalogs, such as those from Montgomery Ward or Sears Roebuck, were common before toilet paper was widely available.
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A round caisson in the imperial garden at the Forbidden City The caisson (), also referred to as a caisson ceiling, or spider web ceiling, in East Asian architecture is an architectural feature typically found in the ceiling of temples and palaces, usually at the centre and directly above the main throne, seat, or religious figure. The caisson is generally a sunken panel set into the otherwise largely flat ceiling. It is often layered and richly decorated. Common shapes include squares, octagons, hexagons, circles, and a combination of these.
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Some Venetian glass chandeliers have little finials hanging from glass rings on the arms. Hoop A circular metal support for arms, usually on a regency-styles or other chandelier with glass pieces. Also known as a ring Montgolfière chandelier Chandelier with shape of "montgolfière", the early French hot air balloon Moulded The process by which a glass piece is shaped by being blown into a mould Neoclassical Style chandelier Glass chandelier featuring many delicate arms, spires and strings of ovals rhomboids or octagons. Panikadilo Gothic candelabrum chandelier hung from centres of Orthodox cathedrals' domes.
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The 2-4 duoantiprism is an alternation of the 4-8 duoprism, but is not uniform. It has a highest symmetry construction of order 64, with 28 cells composed of 4 square antiprisms and 24 tetrahedra (8 tetragonal disphenoids and 16 digonal disphenoids). There exists a construction with uniform square antiprisms with an edge length ratio of 1 : 1.189. 120px Vertex figure for the 2-4 duoantiprism Also related is the bialternatosnub 2-4 duoprism, constructed by removing alternating long rectangles from the octagons, but is also not uniform.
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Additionally the tops of the two towers flanking the main entrance housed large water tanks that supplied fire-hoses.Girouard, pp. 60, 61, 63 The heating and ventilation system drew fresh air and expelled stale air from vents in the four square pinnacles around the base of the octagons on top of the two towers in the centre of the facade and in a similar manner from the tops of the two pavilions at either end of the facade. The fresh air is brought into the galleries via vents around the tops of their walls.
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The 3-4 duoantiprism is an alternation of the 6-8 duoprism, but is not uniform. It has a highest symmetry construction of order 96, with 40 cells composed of 6 square antiprisms, 8 octahedra (as triangular antiprisms), and 24 tetrahedra (as digonal disphenoids). There exists a construction with uniform square antiprisms with an edge length ratio of 1 : 1.456, and also with regular octahedra with an edge length ratio of 0.663 : 1. 120px Vertex figure for the 3-4 duoantiprism Also related is the bialternatosnub 3-4 duoprism, constructed by removing alternating long rectangles from the octagons, but is also not uniform.
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Domenico Trezzini, subordinate to Zarudny, was placed in charge of European craftsmen (of Fontana, Rusco, Ferrara and other Ticino families) but after half a year was dispatched to Saint Petersburg. The new church was structurally complete by 1707; its height, 81 meters, equaled that of Ivan the Great Bell Tower. The building initially had five structural stone levels (the nave, a square lower tower and three octagonal levels; the top two octagons were built of wood). By 1708 the tower acquired 50 bells and an English chiming clock. It was crowned with a 30-meter spire with a gilded angel-shaped weather vane.
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Domes over windowed drums of cylindrical or polygonal shape were standard after the 9th century. In the empire's later period, smaller churches were built with smaller diameter domes, normally less than after the 10th century. Exceptions include the 11th century domed- octagons of Hosios Loukas and Nea Moni, and the 12th century Chora Church, among others. The cross-in-square plan, with a single dome at the crossing or five domes in a quincunx pattern, as at the Church of St. Panteleimon, was the most popular type from the 10th century until the fall of Constantinople in 1453.
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The tower is one of the first to rely substantially on craftsmanship, with the final appearance being one with a high degree of linearity captured in stone. While previous façades were certainly drawn prior to construction, Strasbourg has one of the earliest façades whose construction is inconceivable without prior drawing. Strasbourg and Cologne Cathedral together represent some of the earliest uses of architectural drawing. The work of Professor Robert O. Bork of the University of Iowa suggests that the design of the Strasbourg façade, while seeming almost random in its complexity, can be constructed using a series of rotated octagons.
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Attached to the pillars are several faceted pilasters and half-columns which form, at the top, semi-circular and pointed arches bearing the supporting girth of the domes. High niches, semi-circular in the plan, framed with graceful arcatures on twin half-columns, which decorate the bottom of the altar apses, harmoniously fit in with the pillars. The walls of altar daises, decorated with geometrical ornaments, are of extraordinary interest. In Makaravank the profiled eight-pointed stars and octagons between them, arranged in two rows, are covered with varied and rich carving unique in the architecture of medieval Armenia.
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At the time it was built, the dome was the highest in the Ottoman Empire when measured from sea level, but lower from the floor of the building and smaller in diameter than that of the nearby Hagia Sophia. Another Classical domed mosque type is, like the Byzantine church of Sergius and Bacchus, the domed polygon within a square. Octagons and hexagons were common, such as those of Üç Şerefeli Mosque (1437–1447) and Selimiye Mosque in Edirne. The Selimiye Mosque was the first structure built by the Ottomans that had a larger dome than that of the Hagia Sophia.
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The variety comes from various ways of forming the polyhedron that provides a base for the points—using an octagonal face instead of a square face, for example. The common original Herrnhut Moravian star becomes a 50-point star when the squares and triangles that normally make up the faces of the polyhedron become octagons and hexagons. This leaves a 4-sided trapezoidal hole in the corners of the faces which is then filled with an irregular four sided point. These 4-sided points form a "starburst" in the midst of an otherwise regular 26-point star.
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The interior has an elaborate exposed roof structure consisting of small arched trusses springing from sandstone impost blocks, which are centred on brick piers at the corners of the octagons. The trusses meet at a midpoint below the roof pinnacle; the remainder of the roof is supported with struts springing from a central half- post. It has a timber boarded ceiling with exposed rafters, and the dormers are expressed in the ceiling. The room has twelve high-set stained glass windows with sandstone voussoirs encircling the room, as well as four stained glass windows to the dormers.
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Oval plan churches spread outside of Rome following Vignola's innovation with the church of Santa Anna dei Palafrenieri. Giovan Battista Aleotti built both in Argenta and San Carlo Borromeo in Ferrara between 1609 and 1621. The oval plans synthesize longitudinal and central plan church layouts, allowing clear views of the altar from all points. Francesco Borromini's dome of San Carlo alle Quattro Fontane (1638–41) has a novel oval plan that approximates an ellipse using four circular arcs based on the vertices of two large equilateral triangles; a complex geometrical coffer pattern of crosses, octagons, and lozenges is repeated eight times on the dome's inner surface.
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The entrance to the hall would be from the north, and the President's throne would naturally face it. There are two inscriptions in this cave, but neither seems to be integral, if any reliance can be placed on the architectural features, though the whole cave is so plain and unornamented that this testimony is not very distinct. The pillars of the veranda are plain octagons without base or capital, and may be of any age. Internally the pillars are square above and below, with incised circular mouldings, changing in the centre into a belt with 16 sides or flutes, and with plain bracket capitals.
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While some of International Team's games were quite "typical" of their era and generally not on par with U.S. and British offerings (which benefitted from a more developed hobby and gaming culture) they saturated the Italian market (where in early 1980s fluent English readers were by no means common) and also enjoyed commercial success in France and Germany. Some of their best games were highly innovative, such as the non-strategic Napoleonic ones (Austerlitz, Jena, Waterloo), presenting a unique Octagons and Squares board, better suited to the Napoleonic infantry formations (square, line, column...). Some other, like 'Norge' and 'Supermarina' tackled topics and campaigns which seldom enjoyed dedicated boardgames.
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The Bracket House is set back from the east side of Highland Avenue, a north-south route through the east side of Winchester. The house, as built in the early 1850s, is a distinctive design made by Brackett, an eccentric artist and naturalist, that adhered fairly closely to recommendations of Orson Squire Fowler in the first edition of The Octagon House: A Home for All, the work which set off a brief period of interest in those houses. It consisted of a series of four interlocking octagons, with varying heights and roof lines to create interesting visual effects. A fifth octagonal unit was added by Brackett in c.
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Ruins of three Byzantine churches were discovered in the village of Beit Jibrin (ancient Eleutheropolis). One was decorated with an exquisite mosaic depicting the four seasons but it was defaced during the 1948 Arab-Israeli War. The other church north of the wadi was excavated in 1941-1942. Its floor mosaic have octagons with representations of birds, quadrupeds, and scenes from the story of Jonah depicting the prophet being thrown out of the boat or resting. In nearby Emmaus Nicopolis two Byzantine basilicas were built in the 6-7th centuries above the house of Cleopas, which was venerated by Christians as the place of the breaking of bread by the risen Christ.
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The thoroughness with which this space was redecorated suggests that the vestibule as inherited by Lord Bute may have been heavily adapted to suit Victorian taste. As the vestibule does not open directly into the stairwell, Balfour Paul sought to ensure that it would not appear dark and forbidding by deciding to greet the visitor with a welcoming central chimneypiece in white marble facing the front door. The plan of the vestibule is T-shaped, with archways leading through from the right-hand and left-hand sides of the fireplace. The vestibule features a rosetted ceiling, highly decorative plasterwork in the Adam Revival style, and a floor of polished Caithness flagstones in octagons and squares, in the Georgian manner.
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A joggle (a portion of the shaft which extends into the base, acting as a joint) about long extends into the base, where it is secured by another bronze dowel. The shaft and crossarm are both octagonal in shape, and the shaft tapers slightly as it rises to give the cross entasis. On the large size version, there are three plain mouldings on the shaft near the base, often reduced to one in smaller sizes, and the three extremities of the cross finish at a plain moulding projecting sideways from the main element. The crossarms are sometimes irregular octagons in section, with four wide faces at front, back, top and bottom, and four shorter faces in between them.
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A white background indicates a regulatory sign; yellow conveys a general warning message; green shows permitted traffic movements or directional guidance; fluorescent yellow/green indicates pedestrian crossings and school zones; orange is used for warning and guidance in roadway work zones; coral is used for incident management signs; blue indicates road user services, tourist information, and evacuation routes; and brown is for guidance to sites of public recreation or cultural interest. Sign shape can also alert roadway users to the type of information displayed on a sign. Traffic regulations are conveyed in signs that are rectangular with the longer direction vertical or square. Additional regulatory signs are octagons for stop and inverted triangles for yield.
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Vertex figure for the bialternatosnub 16-cell The bialternatosnub 16-cell or runcic snub rectified 16-cell, constructed by removing alternating long rectangles from the octagons, but is also not uniform. Like the omnisnub tesseract, it has a highest symmetry construction of order 192, with 8 rhombicuboctahedra (with Th symmetry), 16 icosahedra (with T symmetry), 24 rectangular trapezoprisms (topologically equivalent to a cube but with D2d symmetry), 32 triangular prisms, with 96 triangular prisms (as Cs-symmetry wedges) filling the gaps. A variant with regular icosahedra and uniform triangular prisms has two edge lengths in the ratio of 1 : 2, and occurs as a vertex-faceting of the scaliform runcic snub 24-cell.
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San Carlo alle Quattro Fontane. A Study in Multiple Form and Architectural Symbolism, New York, 1977 The dome with its intricate geometrical pattern The pendentives are part of the transition area where the undulating almost cross-like form of the lower order is reconciled with the oval opening to the dome. The arches which spring from the diagonally placed columns of the lower wall order to frame the altars and entrance, rise to meet the oval entablature and so define the space of the pendentives in which roundels are set. The oval entablature to the dome has a 'crown' of foliage and frames a view of deep set interlocking coffering of octagons, crosses and hexagons which diminish in size the higher they rise.
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The facade is characterized by fine stucco statues of Angelo Viva, representing San Filippo Neri and San Gennaro. The architecture of the temple is somewhat unusual; the floor plan is formed by two octagons joined by a rectangle, with the first octagon which assumes the function of the nave and the second serving as oratory, while the rectangle is the presbytery. On the high altar there are works in stucco by Viva, with the two sides as many paintings by Paolo De Matteis, both representing St. Joseph with Child Jesus, while other paintings are attributed to the school of Giuseppe Bonito. The choir of the church (1754) was designed by Giovanni Antonio Medrano with a rich decoration, also in stucco.
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Gameplay screenshot The enemies change shape every round (and are worth more points for shooting as the levels increase). Five seconds and ten seconds into each round, a Spectar Smuggler is added, which fires at the player. When the first smuggler appears on the board, the background sound changes, until all smugglers have been destroyed. The elements that make up the maze change with each level: #Shaded circle #Hollow circle with roughened edges #3D wireframe cubes #Solid crucifix #Solid diamonds #Solid squares crossed with an 'X' shape #3D wireframe pyramids #Hollow octagons # and subusequent levels: a shape that resembles a space invader with a hollowed out section in the centre that looks like a house As each level is completed, a bonus of 1000 times the level number is awarded.
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As more optometrists began to diagnose astigmatism, the pince nez became less practical because of subtle shifts in the position of the lenses caused by the wearer moving his or her head. With the implementation of nosepads in 1920, the three-piece style surpassed the pince nez in popularity; the new design allowed wearers to adjust the position of glasses on the face, and also permitted for a wide variety of lens shapes, with optometrists offering over 300 options by 1940 (though variations on circles, ovals, and octagons remained most popular).Fitting Faces: Eyeglass Fashion. 1940, the Atlanta Public School System Also in the 1920s, a new style appeared in which an "arch" connected the bridge to the temples, to provide extra stability for the lenses; the mounting technique was referred to as "Shurset" ("sure set").
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This is because a de facto industry standard has emerged which assumes that if a pad is smaller than its associated hole, the hole is not plated through, while Autotrax will only permit pads that are at least 2 mil larger than the hole diameter. Two bugs in the Protel Autotrax format have to do with octagonal pads, which on inspection can be seen to be not quite regular octagons, and string sizes. In Autotrax, string sizes are only ever displayed in multiples of 12 mil, so specification of a string size as something other than a multiple of 12 mil may lead to incorrect import into another package. Many PCB manufacturers in Australia and some PCB manufacturers in Asia will still accept boards in native Protel Autotrax format rather than requiring export to PCB industry standard Gerber format.
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Excavated mosaic pavement The most significant find is the great mosaic which paved all of the basilica, it was found in the left nave, in most of the middle nave and also in the right nave. There are different designs next to each other, among which, next to the usual four leafed rosettes and nods in circles or octagons (accompanied by Christian symbols like a Latin cross and a goblet), is the especially intricate coats of arms with lozenges inscribed between them that take up most space in the middle nave; in it, an epigraph with the names of 14 sponsors is inscribed. The image of a peacock is of remarkable quality between (?) the emblem in the center of the adjacent panel with the name of the sponsor Obsequentius. The motifs of the pavement belong to the usual repertoire of the era of the Roman Empire (Solomon's nods appear in Florence in the mosaics of the building underneath the baptistery) and the juxtaposition of different panels is found in many other examples in the Adriatic area.
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Dr William Cullen, Dugald Stewart (1753–1828), Lord Kames, Sir Alexander Dick of Prestonfield, Dr John Hope, James Boswell, Alexander Adam (1741–1809) and many more can be found on good terms with him and after death Craig's reputation as a being a respectable or eminent architect was not tarnished by his debts as when media reports appeared his work and relationship to Thomson was remembered. Legacies of his career today include monuments such as the Fullarton (Inveresk Church) and Buchanan monument (Killearn) as well as the New Town plans of Edinburgh and Glasgow where the grid of streets contrasts Craig's own interests in introducing circuses, octagons and other features to break the pattern up. James Begg was also his draughtsman and pupil who later became the architect of Edinburgh's Gayfield Square. Due to complex bans on monuments in Greyfriars' churchyard (not lifted until the late 19th century) the grave was only marked in the 1930s, then being done as part of half a dozen new memorials to notable persons by the Saltire Society.
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Cloister vault The squared dome of the Great Synagogue of Rome A dome tent shaped as a cloister vault In architecture, a cloister vault (also called a pavilion vault) is a vault with four concave surfaces (patches of cylinders) meeting at a point above the center of the vault. It can be thought of as formed by two barrel vaults that cross at right angles to each other: the open space within the vault is the intersection of the space within the two barrel vaults, and the solid material that surrounds the vault is the union of the solid material surrounding the two barrel vaults. In this way it differs from a groin vault, which is also formed from two barrel vaults but in the opposite way: in a groin vault, the space is the union of the spaces of two barrel vaults, and the solid material is the intersection.. A cloister vault is a square domical vault, a kind of vault with a polygonal cross-section. Domical vaults can have other polygons as cross-sections (especially octagons) rather than being limited to squares.
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