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Stereographic projection is also applied to the visualization of polytopes. In a Schlegel diagram , an n -dimensional polytope in R n +1 is projected onto an n -dimensional sphere, which is then stereographically projected onto R n .
The stereographic projection, also known as the planisphere projection or the azimuthal conformal projection, is a conformal map projection whose use dates back to antiquity. Like the orthographic projection and gnomonic projection, the stereographic projection is an azimuthal projection, and when on a sphere, also a perspective projection.
Stereographic projection and fault kinematics Reyuntec Public domain Cross-platform: ASP.net Free web application (english and spanish) Generic Mapping Tools [16] Map generation and analysis Lamont–Doherty and University of Hawaii: GPL: Cross-platform: C: Implemented in OpendTect GPlates [17] Interactive visualization of plate tectonics
stereographic projection (projection of 3D space of crystallographic planes and directions to 2D), inverse pole figure (defined part of stereographic projection). Graphical user interface provides user with two interactive views side by side. These views can display arbitrary combination of the four aforementioned visualization modes allowing ...
The Hopf fibration can be visualized using a stereographic projection of S 3 to R 3 and then compressing R 3 to a ball. This image shows points on S 2 and their corresponding fibers with the same color. Pairwise linked keyrings mimic part of the Hopf fibration.
Stereographic projection of a 3-sphere (again removing the north pole) maps to three-space in the same manner. (Notice that, since stereographic projection is conformal, round spheres are sent to round spheres or to planes.) A somewhat different way to think of the one-point compactification is via the exponential map. Returning to our picture ...
Stereographic projection of a complex number A onto a point α of the Riemann sphere. The Riemann sphere can be visualized as the unit sphere x 2 + y 2 + z 2 = 1 {\displaystyle x^{2}+y^{2}+z^{2}=1} in the three-dimensional real space R 3 {\displaystyle \mathbf {R} ^{3}} .
Stereoscopy creates the impression of three-dimensional depth from a pair of two-dimensional images. [5] Human vision, including the perception of depth, is a complex process, which only begins with the acquisition of visual information taken in through the eyes; much processing ensues within the brain, as it strives to make sense of the raw information.