In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal...

Hyperboloid structures are architectural structures designed using a hyperboloid in one sheet. Often these are tall structures, such as towers, where the...

In geometry, the hyperboloid model, also known as the Minkowski model after Hermann Minkowski, is a model of n-dimensional hyperbolic geometry in which...

projection of the hyperboloid model (Hy) with as center the center of the hyperboloid (O) and the projection plane tangent to the hyperboloid. Given two distinct...

This page is a list of hyperboloid structures. These were first applied in architecture by Russian engineer Vladimir Shukhov (1853–1939). Shukhov built...

The Garin Death Ray, also known as The Death Box and The Hyperboloid of Engineer Garin (Russian: Гиперболоид инженера Гарина), is a science fiction novel...

another on-shell theorem. Mass shell is a synonym for mass hyperboloid, meaning the hyperboloid in energy–momentum space describing the solutions to the...

some regions, where they locally resemble the hyperbolic plane. The hyperboloid model of hyperbolic geometry provides a representation of events one...

the hyperboloid model of the hyperbolic plane, the hyperboloid is referred to as a pseudosphere. This usage of the word is because the hyperboloid can...

form the hyperboloid structure are usually anchored at each end by bending the tip into a groove or notch in the housing. Whilst hyperboloid contacts...

Cooling towers vary in size from small roof-top units to very large hyperboloid structures that can be up to 200 metres (660 ft) tall and 100 metres...

engineer and architect Vladimir Shukhov, is the world's first diagrid hyperboloid structure. The tower is today located in the former estate of Yury Nechaev-Maltsov...

hyperboloid model is immediate through the action of the connected component of S O ( n , 1 ) {\displaystyle \mathrm {SO} (n,1)} on the hyperboloid....

Oblate spheroid Prolate spheroid Ellipsoid Cone (geometry) Hyperboloid of one sheet Hyperboloid of two sheets Hyperbolic paraboloid (a ruled surface) Paraboloid...

a complex plane with the real line. For split-quaternions there are hyperboloids of hyperbolic and imaginary units that generate split-complex or ordinary...

related to the hyperboloid model projectively. If we have a point [t, x1, ..., xn] on the upper sheet of the hyperboloid of the hyperboloid model, thereby...

the surface of revolution swept out by L is a hyperboloid of one sheet. For instance, the three hyperboloids visible in the illustration can be formed in...

circular section is a circle on a quadric surface (such as an ellipsoid or hyperboloid). It is a special plane section of the quadric, as this circle is the...

distinct lines that lie on the surface. The hyperbolic paraboloid and the hyperboloid of one sheet are doubly ruled surfaces. The plane is the only surface...

everywhere. The Gaussian curvature can also be negative, as in the case of a hyperboloid or the inside of a torus. Gaussian curvature is an intrinsic measure...

The Hyperboloid of Engineer Garin (Russian: Гиперболоид инженера Гарина, translit. Giperboloid inzhenera Garina) also abbreviated as Engineer Garin is...

to as "the saddle surface" or "the standard saddle surface") and the hyperboloid of one sheet. The Pringles potato chip or crisp is an everyday example...

quadrics) and five non-degenerate quadrics (ellipsoid, paraboloids and hyperboloids), which are detailed in the following tables. The eight remaining quadrics...

From left to right: a surface of negative Gaussian curvature (hyperboloid), a surface of zero Gaussian curvature (cylinder), and a surface of positive...

geometry, are known today as hyperboloids of revolution. Shukhov developed not only many varieties of light-weight hyperboloid towers and roof systems, but...

during the Russian Civil War. Vladimir Shukhov invented the world's first hyperboloid structure in the year 1890. Later he wrote a book, Rafters, in which...

and was completed and dedicated on May 31, 1970. The cathedral is a hyperboloid structure constructed from 16 concrete columns weighing 90 tons each...

mathematician during the late 19th and early 20th century he created hyperboloid, thin shell and tensile structures of extraordinary refinement and elegance...

A hyperboloid of one sheet, which is a surface of revolution contains a pencil of circles which is mapped onto a pencil of circles. A hyperboloid of...

Concave ellipsoid Concave cylinder Hyperboloid surface = 0 Concave cylinder Plane Convex cylinder > 0 Hyperboloid surface Convex cylinder Convex ellipsoid...