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## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
## -*- texinfo -*-
## @deftypefn {Function File} {[@var{v}, @var{e}, @var{f}] =} createCubeOctahedron ()
## @deftypefnx {Function File} {@var{mesh} =} createCubeOctahedron ()
## Create a 3D mesh representing a cube-octahedron
##
## [V E F] = createCubeOctahedron;
## Cubeoctahedron can be seen either as a truncated cube, or as a
## truncated octahedron.
## V is the 12-by-3 array of vertex coordinates
## E is the 27-by-2 array of edge vertex indices
## F is the 1-by-14 cell array of face vertex indices
##
## [V F] = createCubeOctahedron;
## Returns only the vertices and the face vertex indices.
##
## MESH = createCubeOctahedron;
## Returns the data as a mesh structure, with fields 'vertices', 'edges'
## and 'faces'.
##
## @seealso{meshes3d, drawMesh, createCube, createOctahedron}
## @end deftypefn
function varargout = createCubeOctahedron()
nodes = [...
0 -1 1;1 0 1;0 1 1;-1 0 1; ...
1 -1 0;1 1 0;-1 1 0;-1 -1 0;...
0 -1 -1;1 0 -1;0 1 -1;-1 0 -1];
edges = [...
1 2; 1 4; 1 5; 1 8; ...
2 3; 2 5; 2 6; ...
3 4; 3 6; 3 7; ...
4 7; 4 8; ...
5 9; 5 10; ...
6 10; 6 11; ...
7 11; 7 12; ...
8 9; 8 12; ...
9 10; 9 12; ...
10 11; 11 12];
faces = {...
[1 2 3 4], [1 5 2], [2 6 3], [3 7 4], [4 8 1], ...
[5 10 6 2], [3 6 11 7], [4 7 12 8], [1 8 9 5], ...
[5 9 10], [6 10 11], [7 11 12], [8 12 9], [9 12 11 10]};
# format output
varargout = formatMeshOutput(nargout, nodes, edges, faces);
endfunction
%!demo
%! [n e f] = createCubeOctahedron;
%! drawMesh (n, f);
%! view (3);
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