In architecture, entasis is the application of a convex curve to a surface for aesthetic purposes. Its best-known use is in certain orders of Classical columns that curve slightly as their diameter is decreased from the bottom upward. It also may serve an engineering function regarding strength.
The word we apply to the design principle is used by the Roman architectural historian Vitruvius, and derives from the Greek word έντείνω (enteino), "to stretch or strain tight". Creating the illusion of greater strength or perception of height may have been an objective in the application of entasis.
Examples of this design principle may be found in cultures throughout the world, from ancient times to contemporary architecture. The first use of entasis is probably in the Later Temple of Aphaia at Aigina, in the 490s B.C.
It also may be observed among Classical period Greek column designs, for example, in the Doric order temples in Segesta, Selinus, Agrigento, and Paestum.
It was used less frequently in Hellenistic and Roman period architecture. The Roman temples built during these periods were higher than those of the Greeks, with longer and thinner columns.
Chinese carpenters of the Song Dynasty followed designs in the AD 1103 Yingzao Fashi (Treatise on Architectural Methods or State Building Standards) that specified straight columns or those with an entasis on the upper third of the shaft.
Noted architects, such as the Renaissance master Andrea Palladio, also used entasis in the designs of their buildings.
Entasis was often a feature of Inca walls and double-jamb doorways, where they also act to counteract the optical illusion that would make the doorway appear narrower in the middle of its slope, than it really would be.
It also may be seen in the sloping or battered walls of some Tibetan monastery and fortress architecture, as well as that of Bhutan. The lower parts of these walls, approximately one third, have a slight inward curve, but the higher parts are straight. To build a whole wall as a straight, sloping surface, it appears to bulge outward.
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Fluting in architecture consists of shallow grooves running along a surface. The term typically refers to the grooves (flutes) running vertically on a column shaft or a pilaster, but need not necessarily be restricted to those two applications. If the hollowing out of material meets in a point, the point (sharp ridge) is called an arris. If the raised ridge between two flutes is blunt, the ridge is a . Fluting promotes a play of light on a column which helps the column appear more perfectly round than a smooth column.
The Doric order was one of the three orders of ancient Greek and later Roman architecture; the other two canonical orders were the Ionic and the Corinthian. The Doric is most easily recognized by the simple circular capitals at the top of columns. Originating in the western Doric region of Greece, it is the earliest and, in its essence, the simplest of the orders, though still with complex details in the entablature above. The Greek Doric column was fluted or smooth-surfaced, and had no base, dropping straight into the stylobate or platform on which the temple or other building stood.
Ancient Greek architecture came from the Greek-speaking people (Hellenic people) whose culture flourished on the Greek mainland, the Peloponnese, the Aegean Islands, and in colonies in Anatolia and Italy for a period from about 900 BC until the 1st century AD, with the earliest remaining architectural works dating from around 600 BC. Ancient Greek architecture is best known for its temples, many of which are found throughout the region, with the Parthenon regarded, now as in ancient times, as the prime example.
In this paper, we consider the problem of jointly localizing a microphone array and identifying the direction of arrival of acoustic events. Under the assumption that the sources are in the far field, this problem can be formulated as a constrained low-ran ...