mathematics, a stereographic projection is a perspective projection of the sphere, through a specific point on the sphere (the pole or center of projection), onto...

The stereographic projection, also known as the planisphere projection or the azimuthal conformal projection, is a conformal map projection whose use...

The Gall stereographic projection, presented by James Gall in 1855, is a cylindrical projection. It is neither equal-area nor conformal but instead tries...

Miller Oblated Stereographic Projection (Modified stereographic projection for continents of Africa and Europe.) GS50 projection (This projection are made from...

Orthographic projection in cartography has been used since antiquity. Like the stereographic projection and gnomonic projection, orthographic projection is a...

The Roussilhe oblique stereographic projection is a mapping projection developed by Henri Roussilhe in 1922. The projection uses a truncated series to...

respectively. As the name indicates, the UPS system uses a stereographic projection. Specifically, the projection used in the system is a secant version based on...

projections Gall stereographic projection: another of Gall's projections. Notes Gall, James (1885). "Use of cylindrical projections for geographical,...

transforming the stereographic projection with a pole at infinity, by means of an elliptic function". The Peirce quincuncial is really a projection of the hemisphere...

is a generalization of near-sided perspective projection, allowing tilt. The stereographic projection, which is conformal, can be constructed by using...

based on the application of the stereographic projection of the celestial sphere. The point from which the projection is usually made is the South Pole...

the ⁠ n {\displaystyle n} ⁠-sphere are called great circles. The stereographic projection maps the ⁠ n {\displaystyle n} ⁠-sphere onto ⁠ n {\displaystyle...

In geometry, an Archimedean solid is one of 13 convex polyhedra whose faces are regular polygons and whose vertices are all symmetric to each other. They...

methods of trigonometry or equivalently by using the stereographic projection. For the stereographic approach, suppose that P′ is a point on the x-axis...

construct there are two common visualizations one can use: a layered stereographic projection, and a structure of intertwining rings (discrete Hopf fibration)...

Möbius transformation can be obtained by first applying the inverse stereographic projection from the plane to the unit sphere, moving and rotating the sphere...

compactification is given by the inverse stereographic projection. Recall that the stereographic projection S gives an explicit homeomorphism from the...

\neq 0} .) Call this point P. Point u on the plane z = 0 is the stereographic projection of point P on the Bloch sphere. The vector with tail at the origin...

3 {\displaystyle \mathbf {R} ^{3}} . To this end, consider the stereographic projection from the unit sphere minus the point ( 0 , 0 , 1 ) {\displaystyle...

consist of infinitely many line segments between the two edges. On a stereographic projection map, a loxodrome is an equiangular spiral whose center is the north...

and intersecting the flat plane in exactly one point. Under this stereographic projection the north pole itself is not associated with any point in the complex...

hyperbolic stereographic projection. This is illustrated in the figure to the right for n = 2. It is instructive to compare to stereographic projection for spheres...

{\displaystyle N} ) are mapped onto themselves. They are the projection lines of the stereographic projection. The 6-sphere coordinates are a coordinate system for...

of objects in space. For example, pole figures in the form of stereographic projections are used to represent the orientation distribution of crystallographic...

strike-dip information of the plane it was measured from, using a stereographic projection. If a fault has lineations formed by movement on the plane, e.g...

orthographic projection map is a map projection of cartography. Like the stereographic projection and gnomonic projection, orthographic projection is a perspective...

computing the stereographic projection; this projection is then remapped into a square whose coordinates are then rotated 45 degrees. The projection is conformal...

The primitive equations are a set of nonlinear partial differential equations that are used to approximate global atmospheric flow and are used in most...

principal bundle, by identifying the fiber with the circle group. Stereographic projection of the Hopf fibration induces a remarkable structure on R3, in...

plane. Stereographic projection of a 3-sphere (again removing the north pole) maps to three-space in the same manner. (Notice that, since stereographic projection...