In analytic geometry, an asymptote (/ˈæsɪmptoʊt/) of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity. Some sources include the requirement that the curve may not cross the line infinitely often, but this is unusual for modern authors. In some contexts, such as algebraic geometry, an asymptote is defined as a line which is tangent to a curve at infinity.
The word asymptote is derived from the Greek ἀσύμπτωτος (asumptōtos) which means "not falling together", from ἀ priv. + σύν "together" + πτωτ-ός "fallen". The term was introduced by Apollonius of Perga in his work on conic sections, but in contrast to its modern meaning, he used it to mean any line that does not intersect the given curve.
There are potentially three kinds of asymptotes: horizontal, vertical and oblique asymptotes. For curves given by the graph of a function y = ƒ(x), horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to +∞ or −∞. Vertical asymptotes are vertical lines near which the function grows without bound.
Asymptote Architecture is an American architecture practice based in New York City, New York, The USA, with satellite offices in Dubai and Vienna.
1989 Asymptote won international recognition for their winning entry of the Steel Cloud in the Los Angeles Westcoast Gateway Competition. In 1992, Asymptote was invited by The New York Times to design a hypothetical building for Times Square.
In 1996, Asymptote built their first project overseas, the Universe Theatre in Aarhus, Denmark. The project was awarded the Danish building of the year award by the Architects' Association of Denmark. In 1999, Asymptote designed the first large-capacity virtual reality environment for the New York Stock Exchange as well as the construction of the Advanced Floor Operations Center on the trading floor of the Wall Street facility. The project was listed in the AIA Guide to Noteworthy Architecture in New York City.
In 2003 Asymptote won their first AIA New York Chapter Design Award, Architecture Category for their Design of the HydraPier Pavilion in Haarlemmermeer, Netherlands.
Asymptote may also refer to:
In science and technology: