CONVERTING FROM SPHERICAL COORDINATES TO STEREOGRAPHIC PROJECTION

Last Update 27/ 01/ 2002

in English/ in Esperanto/ in French/ in Portuguese

This application allows the achievement of the stereographic projection for one or so poles of faces given by their respective spherical coordinates f, the arch that measures the separation from the North pole of the projection sphere and q, the arch that measures the separation from one reference meridian, arbitrary but here conveniently chosen.

Mode of use

Initially enter the value of the arch f in degrees, from 0o to 360o, by clicking on the numbered buttons sequentially. When the angle on the respective display coincides with the desired value, click on button a. This will store the value. If there is a typing error, click in the circle at the left and type the correct number (attention, this will delete all numbers previously stored).

Following enter the value of the arch q in degrees, as described in the previous paragraph.

To send the stored coordinates to the stereographic projection diagram, click on button b. Now enter the coordinates of the next pole, respecting the limit.

To start a new job, click on the circle.

Limit

Up to 99 angles f and 99 angles q can be entered to represent the same number of poles of faces in stereographic projection with this application. If the limit is not respected, the panel will change red. In this case, just click in the circle to clean and execute new job.

Simple suggestion

Enter the spherical coordinates inherent to the cube faces in two orientation twisted of 45o.

Please send your comments.

Table of subjects.
Presentation
Chemistry Analytical Chromatography
Elemental organic analysis
Volumetric analysis, simulation
Crystallography 3 fold screw axis
4 fold inversion axis on tetrahedron
5 fold rotation axis absent in crystallography
Binary axis and reflection plane in stereographic projection
Bravais lattices
Conic sections under symmetry operators
Converting from spherical coordinates to stereographic projection
Crystal lattice and unit cell
Determination of unit cell
Elements of symmetry in action - animation
Elements of symmetry in action - cube game
Elements of symmetry in action - dodecahedron game
Elements of symmetry in action - icosahedron game
Elements of symmetry in action - octahedron game
Elements of symmetry in action - tetrahedron game
Ewald sphere and crystal measurements
Extinctions
Five classes in the cubic system
Five classes in the rhombohedral system
From tetrahedron to prism
Gnomonic projection
Improper symmetry axis
Miller indices
Miller indices - animation
Miller indices - cube game
Miller indices - octahedron game
Miller indices - rhombic dodecahedron game
Miller indices - tetrahedron game
Mirror plane
Orientations of the cube
Plane symmetry groups
Question on point group
Rotation axis in octahedron and Werner compounds
Rotation axis on tetrahedron and organic molecules
Rotation of the parallel and stereographic projections of the cube
Seven faces in stereographic projection
Seven classes in the hexagonal system
Seven classes in the tetragonal system
Six elements of symmetry in seven orientations
Spherical projection of the octahedron
Stereographic projection
Stereographic projection of six polyhedra in different orientations
Straight line equations and symmetry elements
Symmetry, 2 fold axis
Symmetry, 2, 3 and 6 fold axis in benzene
Symmetry, 3 fold axis in the cube
Symmetry, 4 fold axis in the cube
Symmetry, 4 fold axis in the unit cell of gold
Symmetry elements and Miller indices game
Symmetry elements and Miller indices game - octahedron
Symmetry in art and in crystallography
Three classes in the monoclinic system
Three classes in the orthorhombic system
Twin crystals
Two classes in the triclinic system
Unit cell in hexagonal net
General Butane conformations
Density
Electrochemical cell
Ethane conformations
Resources of chemical-ICT: water, health and symmetry
Solid and liquid gold