winkelverzerrt

Winkelverzerrt refers to a type of distortion that occurs in the representation of angular measurements in a map or globular model. This distortion arises from the projection of a spherical surface onto a two-dimensional plane, resulting in a tendency to exaggerate angles that are farthest from the center of the projection, oftentimes known as a Lambert equal-area projection.

The concept of winkelverzerrt is aptly demonstrated in the Repsold stereographic projection, which was used in the 19th century for creating maps of the celestial sphere. Winkelverzerrt occurs when the projection process preserves the surface area of the sphere but distorts its angles, leading to inaccuracies in terms of angular measurements.

The phenomena are observed in maps with a Winkel tripel projection and other projections which distort angles that are farther from the projection area's center. Experts note that a minimal distortion for the regions near the center of the projection can occur due to the absence of straight lines across a tangent plane.

Winkelverzerrt affects several map types used in geography and geology, and astronomers who work with the distribution of stars on the celestial sphere and how their positions are described and measured on the surface of the sky map.