# rhombicDodecahedronHex

Below is a demonstration of the features of the `rhombicDodecahedronHex` function

## Contents

```
clear; close all; clc;
```

## Syntax

`[E,V]=rhombicDodecahedronHex(r);`

## Description

This function generates a rhombic dodecahedron domain which is subdevided into hexahedral elements. The input is the bounding sphere radius, the outputs are the hexahedral element array and the vertices.

## Examples

Plot settings

```
fontSize=15;
faceAlpha1=0.5;
edgeColor='k';
lineWidth1=3;
markerSize=55;
```

## Creating a patch model of a rhombic dodecahedron

```
r=sqrt(2)/2; %Radii, results in a width of 1
[E,V]=rhombicDodecahedronHex(r);
C=(1:1:size(E,1))';
[F,CF]=element2patch(E,C);
```

Plotting results

cFigure; title('A hexahedral mesh of a rhombic dodecahedron','FontSize',fontSize); hold on; gpatch(F,V,CF,'k',faceAlpha1,lineWidth1); plotV(V,'k.','MarkerSize',markerSize); axisGeom(gca,fontSize); view(-10,25); camlight('headlight'); colormap gjet; icolorbar; drawnow;

* GIBBON* www.gibboncode.org

*Kevin Mattheus Moerman*, [email protected]

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License: https://github.com/gibbonCode/GIBBON/blob/master/LICENSE

GIBBON: The Geometry and Image-based Bioengineering add-On. A toolbox for image segmentation, image-based modeling, meshing, and finite element analysis.

Copyright (C) 2019 Kevin Mattheus Moerman

This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.