whether the region is a fundamental domain of the point group: n evenly spread directions folded into it all land inside, and it covers the share of one element; cached

Syntax

tilesSphere(cs.fundamentalSector(), cs.sym)

True for every crystal frame.

tilesSphere(sR, cs.sym, n=20000)

More test directions.

Description

The region covers the share of one element when the fraction of the test directions inside it times the order of the group is 1 up to 0.15. The answer is kept per group and region, so n matters only on the first call.

Input

sR sphericalRegion
pg the point group, or a frame holding it

Keywords

keyword default description
n 6000 the number of test directions, a Fibonacci lattice

Output

b True or False

See also

fundamentalSector, dirichletSector, projectIntoRegion

source

Citing this page. This page is part of the documentation of MTEX, a free and open source MATLAB toolbox for analyzing and modeling crystallographic textures. It was written by The MTEX Developers and is published at https://mtex-toolbox.github.io/tilesSphere_py.html. If you use MTEX, or reuse text or figures from this page, in your research, please cite

F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63

BibTeX 
@article{bachmann2010mtex,
  author  = {F. Bachmann and R. Hielscher and H. Schaeben},
  title   = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
  journal = {Solid State Phenomena},
  volume  = {160},
  pages   = {63-68},
  year    = {2010},
  doi     = {10.4028/www.scientific.net/SSP.160.63},
  url     = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}

Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.