XYZToSpherical
3D• XYZToSpherical[{x, y, z}] converts the given point from Cartesian to spherical coordinates and returns {radius, baseangle, altitudeangle}. • XYZToSpherical accepts the Coordinates option to specify the relationship between the two coordinate systems. By default, altitudeangle is measured in the Z direction and a baseangle of zero results from a Y coordinate of zero. Coordinates->YZX causes altitudeangle to be measured in the X direction, etc.
• More complicated coordinate reorientations require a rotation matrix.
• See also: CylindricalToXYZ, SphericalToXYZ, XYZ, XYZToCylindrical, ZXY. Further Examples Load the Modeler3D package. Here is a vector in Cartesian coordinates converted to cylindrical.
Out[2]= |  |
Here it is converted back to Cartesian, but with a different ordering of x, y, and z.
Out[3]= |  |
Out[4]= |  |
Here is a vector in spherical coordinates converted to Cartesian.
Out[5]= |  |
Converting this back to spherical coordinates yields something that requires a few assumptions to be reduced to its original form.
Out[6]= |  |
| 
