A method of EBSD.

the cube coordinates x, y, z of cells of a hexagonal grid, given by their row and column (counted from 0) or by their flat index; x + y + z = 0, and the six neighbours of a cell differ by one step in two of the three; MATLAB’s EBSDhex/hex2cube

Syntax

x, y, z = hex2cube(ebsd, row, col)

By row and column.

x, y, z = ebsd.hex2cube([0, 100, 200])

By flat index.

Description

A cell of a hexagonal grid is addressed by its row and column, the offset coordinates; the cube coordinates make the neighbours one step apart in two of three, see redblobgames.com/grids/hexagons. Which index is staggered, and which way, is read off the positions, so it holds at any rotation of the map. The indices count from 0 and the flat index runs in the order of the grid, where MATLAB counts from 1 in column major order.

Input

`ebsd`	EBSD gridded on a hexagonal lattice, at least 3 x 3 cells
`row`	the rows of the cells, or their flat indices when col is not given

Keywords

keyword	default	description
`col`	`None`	the columns of the cells

Output

x, y, z the cube coordinates

Used on

EBSDIndex

MATLAB’s EBSDhex.hex2cube

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/EBSDhex.hex2cube_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.

EBSDhex.hex2cube