What is a Wulff net?

The net is a projection of a collection of great and small circles, which represent lines of latitude (small circles) and lines of longitude (great circles) on the sphere, as seen here: 3 great and 2 small circles.

What is the use of stereographic projection?

Stereographic projection is a technique for displaying the angular properties of a plane faced object on a single drawing or diagram. Directions as well as planes may be shown and any desired angle can be measured directly from the projection using a graphical technique.

What is stereographic projection in complex analysis?

In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point: the projection point.

What is a stereogram in geology?

i. A graphic diagram on a plane surface, giving a three-dimensional representation, such as projecting a set of angular relations; e.g., a block diagram of geologic structure, or a stereographic projection of a crystal.

What is stereographic net?

The stereographic net or stereonet is the 3-D equivalent of a protractor. It is used to measure angles on the projection. To measure angles, we need to rotate the net relative to the tracing paper.

What does stereographic projection preserve?

Stereographic projection preserves circles and angles. That is, the image of a circle on the sphere is a circle in the plane and the angle between two lines on the sphere is the same as the angle between their images in the plane. A projection that preserves angles is called a conformal projection.

How do you find a stereographic projection?

The stereographic projection of the circle is the set of points Q for which P = s-1(Q) is on the circle, so we substitute the formula for P into the equation for the circle on the sphere to get an equation for the set of points in the projection. P = (1/(1+u2 + v2)[2u, 2v, u2 + v2 – 1] = [x, y, z].

Who invented the stereographic projection?

The stereographic projection was exclusively used for star charts until 1507, when Walther Ludd of St. Dié, Lorraine created the first known instance of a stereographic projection of the Earth’s surface. Its popularity in cartography increased after Rumold Mercator used its equatorial aspect for his 1595 atlas.

What is the source of light in stereographic projection?

At the opposite end where the tangent plane touches the reference globe is the light source for the stereographic projection. This map projection is commonly used for polar aspects and navigation maps because of how it preserves shapes (conformal).