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## Copyright (C) 2024 David Legland
## 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.
##
## The views and conclusions contained in the software and documentation are
## those of the authors and should not be interpreted as representing official
## policies, either expressed or implied, of the copyright holders.
function varargout = createTetrahedron()
%CREATETETRAHEDRON Create a 3D mesh representing a tetrahedron.
%
% [V, E, F] = createTetrahedron
% create a simple tetrahedron, using mesh representation. The tetrahedron
% is inscribed in the unit cube.
% V is a 4-by-3 array with vertex coordinates,
% E is a 6-by-2 array containing indices of neighbour vertices,
% F is a 4-by-3 array containing vertices array of each (triangular) face.
%
% [V, F] = createTetrahedron;
% Returns only the vertices and the faces.
%
% MESH = createTetrahedron;
% Returns the data as a mesh structure, with fields 'vertices', 'edges'
% and 'faces'.
%
%
% Example
% % Create and display a tetrahedron
% [V, E, F] = createTetrahedron;
% drawMesh(V, F);
%
% See also
% meshes3d, drawMesh
% createCube, createOctahedron, createDodecahedron, createIcosahedron
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2005-03-21
% Copyright 2005-2023 INRA - TPV URPOI - BIA IMASTE
x0 = 0; dx= 1;
y0 = 0; dy= 1;
z0 = 0; dz= 1;
nodes = [...
x0 y0 z0; ...
x0+dx y0+dy z0; ...
x0+dx y0 z0+dz; ...
x0 y0+dy z0+dz];
edges = [1 2;1 3;1 4;2 3;3 4;4 2];
faces = [1 2 3;1 3 4;1 4 2;4 3 2];
% format output
varargout = formatMeshOutput(nargout, nodes, edges, faces);
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