function varargout = createOctahedron()
%CREATEOCTAHEDRON Create a 3D mesh representing an octahedron.
%
%   [V, E, F] = createOctahedron;
%   Create a 3D mesh representing an octahedron
%   V is a 6-by-3 array with vertices coordinate, E is a 12-by-2 array
%   containing indices of neighbour vertices, and F is a 8-by-3 array
%   containing array of vertex index for each face.
%
%   [V, F] = createOctahedron;
%   Returns only the vertices and the face vertex indices.
%
%   MESH = createOctahedron;
%   Returns the data as a mesh structure, with fields 'vertices', 'edges'
%   and 'faces'.
%
%   Vertices are located on grid vertices:
%    ( ±1,  0,  0 )
%    (  0, ±1,  0 )
%    (  0,  0, ±1 )
%
%   Edge length of returned octahedron is sqrt(2).
%   Surface area of octahedron is 2*sqrt(3)*a^2, approximately 6.9282 in
%   this case.
%   Volume of octahedron is sqrt(2)/3*a^3, approximately 1.3333 in this
%   case.
%
%   Example
%     [v, e, f] = createOctahedron;
%     drawMesh(v, f);
%
%   See also 
%   meshes3d, drawMesh
%   createCube, createIcosahedron, createDodecahedron, createTetrahedron
%   createCubeOctahedron
%

% ------
% Author: David Legland 
% E-mail: david.legland@inrae.fr
% Created: 2005-02-10
% Copyright 2005-2024 INRA - TPV URPOI - BIA IMASTE

nodes = [1 0 0;0 1 0;-1 0 0;0 -1 0;0 0 1;0 0 -1];

edges = [1 2;1 4;1 5; 1 6;2 3;2 5;2 6;3 4;3 5;3 6;4 5;4 6];

faces = [1 2 5;2 3 5;3 4 5;4 1 5;1 6 2;2 6 3;3 6 4;1 4 6];

% format output
varargout = formatMeshOutput(nargout, nodes, edges, faces);
