Barrel vaultA barrel vault, also known as a tunnel vault, wagon vault or wagonhead vault, is an architectural element formed by the extrusion of a single curve (or pair of curves, in the case of a pointed barrel vault) along a given distance. The curves are typically circular in shape, lending a semi-cylindrical appearance to the total design. The barrel vault is the simplest form of a vault: effectively a series of arches placed side by side (i.e., one after another). It is a form of barrel roof.
GyroidA gyroid is an infinitely connected triply periodic minimal surface discovered by Alan Schoen in 1970. It arises naturally in polymer science and biology, as an interface with high surface area. The gyroid is the unique non-trivial embedded member of the associate family of the Schwarz P and D surfaces. Its angle of association with respect to the D surface is approximately 38.01°. The gyroid is similar to the lidinoid. The gyroid was discovered in 1970 by NASA scientist Alan Schoen.
Radius of curvatureIn differential geometry, the radius of curvature (Rc), R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof. In the case of a space curve, the radius of curvature is the length of the curvature vector. In the case of a plane curve, then R is the absolute value of where s is the arc length from a fixed point on the curve, φ is the tangential angle and κ is the curvature.
Theorema EgregiumGauss's Theorema Egregium (Latin for "Remarkable Theorem") is a major result of differential geometry, proved by Carl Friedrich Gauss in 1827, that concerns the curvature of surfaces. The theorem says that Gaussian curvature can be determined entirely by measuring angles, distances and their rates on a surface, without reference to the particular manner in which the surface is embedded in the ambient 3-dimensional Euclidean space. In other words, the Gaussian curvature of a surface does not change if one bends the surface without stretching it.
Carpenter GothicCarpenter Gothic, also sometimes called Carpenter's Gothic or Rural Gothic, is a North American architectural style-designation for an application of Gothic Revival architectural detailing and picturesque massing applied to wooden structures built by house-carpenters. The abundance of North American timber and the carpenter-built vernacular architectures based upon it made a picturesque improvisation upon Gothic a natural evolution.
Sociocultural evolutionSociocultural evolution, sociocultural evolutionism or social evolution are theories of sociobiology and cultural evolution that describe how societies and culture change over time. Whereas sociocultural development traces processes that tend to increase the complexity of a society or culture, sociocultural evolution also considers process that can lead to decreases in complexity (degeneration) or that can produce variation or proliferation without any seemingly significant changes in complexity (cladogenesis).
Collegiate GothicCollegiate Gothic is an architectural style subgenre of Gothic Revival architecture, popular in the late-19th and early-20th centuries for college and high school buildings in the United States and Canada, and to a certain extent Europe. A form of historicist architecture, it took its inspiration from English Tudor and Gothic buildings. It has returned in the 21st century in the form of prominent new buildings at schools and universities including Cornell, Princeton, Washington University, and Yale.
Gothic cathedrals and churchesGothic cathedrals and churches are religious buildings created in Europe between the mid-12th century and the beginning of the 16th century. The cathedrals are notable particularly for their great height and their extensive use of stained glass to fill the interiors with light. They were the tallest and largest buildings of their time and the most prominent examples of Gothic architecture. The appearance of the Gothic cathedral was not only a revolution in architecture; it also introduced new forms in decoration, sculpture, and art.
OgiveAn ogive (ˈoʊdʒaɪv ) is the roundly tapered end of a two-dimensional or three-dimensional object. Ogive curves and surfaces are used in engineering, architecture and woodworking. The earliest use of the word ogive is found in the 13th-century sketchbook of Villard de Honnecourt, from Picardy in northern France. The Oxford English Dictionary considers the French term's origin obscure; it might come from the Late Latin obviata, the feminine perfect passive participle of obviare, meaning the one who has met or encountered the other.
Unilineal evolutionUnilineal evolution, also referred to as classical social evolution, is a 19th-century social theory about the evolution of societies and cultures. It was composed of many competing theories by various anthropologists and sociologists, who believed that Western culture is the contemporary pinnacle of social evolution. Different social status is aligned in a single line that moves from most primitive to most civilized. This theory is now generally considered obsolete in academic circles.
Google DriveGoogle Drive is a and developed by Google. Launched on April 24, 2012, Google Drive allows users to store files in the cloud (on Google's servers), synchronize files across devices, and . In addition to a web interface, Google Drive offers apps with offline capabilities for Windows and macOS computers, and Android and iOS smartphones and tablets. Google Drive encompasses Google Docs, Google Sheets, and Google Slides, which are a part of the Google Docs Editors office suite that permits collaborative editing of documents, spreadsheets, presentations, drawings, forms, and more.
Google DocsGoogle Docs is an online word processor included as part of the free, web-based Google Docs Editors suite offered by Google, which also includes Google Sheets, Google Slides, Google Drawings, Google Forms, Google Sites and Google Keep. Google Docs is accessible via an internet browser as a web-based application and is also available as a mobile app on Android and iOS and as a desktop application on Google's ChromeOS. Google Docs allows users to create and edit documents online while collaborating with other users in real time.
