netgen/rules/tetrules.rls

tolfak 0.5

rule "Free Tetrahedron"

quality 1

mappoints
(0, 0, 0);
(1, 0, 0);
(0.5, 0.866, 0);

mapfaces
(1, 2, 3) del;

newpoints
(0.5, 0.288, -0.816)
	{ 0.333 X1, 0.333 X2, 0.333 X3 }
	{ 0.333 Y1, 0.333 Y2, 0.333 Y3 } { };

newfaces
(4, 1, 2);
(4, 2, 3);
(4, 3, 1);

elements
(1, 2, 3, 4);

freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1.6 P4, -0.2 P1, -0.2 P2, -0.2 P3 };
{ -0.5 P1, 0.5 P2, 0.5 P3, 0.5 P4 };
{ 0.5 P1, -0.5 P2, 0.5 P3, 0.5 P4 };
{ 0.5 P1, 0.5 P2, -0.5 P3, 0.5 P4 };
endrule






rule "Tetrahedron 60"

quality 1

flags c;

mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 } ;
(0.5, 0.866, 0) { 0.5 };
(0.5, 0.288, -0.816) { 0.5 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;

newpoints

newfaces
(1, 4, 3);
(4, 2, 3);

elements
(1, 2, 3, 4);

freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ -0.35 P1, 0.45 P2, 0.45 P3, 0.45 P4 };
{ 0.45 P1, -0.35 P2, 0.45 P3, 0.45 P4 };
{ -0.05 P1, -0.05 P2, 0.7 P3, 0.4 P4 };


freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 0.3333 P2, 0.3333 P3, 0.3334 P4 };
{ 0.3333 P1, 0.3333 P3, 0.3334 P4 };
{ 0.65 P3, 0.35 P4 };
endrule




rule "Tetrahedron 60 with edge(1)"

quality 1

flags c;

mappoints
(0, 0, 0);
(1, 0, 0) { 0.8 };
(0.5, 0.866, 0) { 0.8 };
(0.5, 0.288, -0.816) { 0.8 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;

mapedges
(3, 4);

newpoints

newfaces
(1, 4, 3);
(4, 2, 3);

elements
(1, 2, 3, 4);


freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 0.4 P1, 0.4 P4, 0.4 P3, -0.2 P2 };
{ 0.4 P2, 0.4 P4, 0.4 P3, -0.2 P1 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 0.3333 P1, 0.3333 P4, 0.3334 P3 };
{ 0.3333 P2, 0.3333 P4, 0.3334 P3 };
endrule




rule "Tetrahedron Vis a Vis Point (1)"

quality 20

mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 0.866, 0) { 0.5 };
(0.5, 0.288, -0.816) { 0.5 };

mapfaces
(1, 2, 3) del;

newpoints

newfaces
(4, 3, 1);
(4, 2, 3);
(4, 1, 2);

elements
(1, 2, 3, 4);

freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ -0.5 P1, 0.5 P2, 0.5 P3, 0.5 P4 };
{ 0.5 P1, -0.5 P2, 0.5 P3, 0.5 P4 };
{ 0.5 P1, 0.5 P2, -0.5 P3, 0.5 P4 };
{ 0.8 P1, -0.1 P2, -0.1 P3, 0.4 P4 };
{ -0.1 P1, 0.8 P2, -0.1 P3, 0.4 P4 };
{ -0.1 P1, -0.1 P2, 0.8 P3, 0.4 P4 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 0.3333 P2, 0.3333 P3, 0.3334 P4 };
{ 0.3333 P1, 0.3333 P3, 0.3334 P4 };
{ 0.3333 P1, 0.3333 P2, 0.3334 P4 };
{ 0.7 P1, 0.3 P4 };
{ 0.7 P2, 0.3 P4 };
{ 0.7 P3, 0.3 P4 };
endrule



rule "Tetrahedron Vis a Vis Point with edge(1)"

quality 1



mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 0.866, 0) { 0.5 };
(0.5, 0.288, -0.816) { 0.5 };

mapfaces
(1, 2, 3) del;

mapedges
(1, 4);

newpoints

newfaces
(4, 3, 1);
(4, 2, 3);
(4, 1, 2);

elements
(1, 2, 3, 4);


freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ -0.35 P1, 0.45 P2, 0.45 P3, 0.45 P4 };
{ 0.45 P1, -0.35 P2, 0.45 P3, 0.45 P4 };
{ 0.45 P1, 0.45 P2, -0.35 P3, 0.45 P4 };
{ -0.05 P1, 0.7 P2, -0.05 P3, 0.4 P4 };
{ -0.05 P1, -0.05 P2, 0.7 P3, 0.4 P4 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 0.3333 P2, 0.3333 P3, 0.3334 P4 };
{ 0.3333 P1, 0.3333 P3, 0.3334 P4 };
{ 0.3333 P1, 0.3333 P2, 0.3334 P4 };
{ 0.65 P2, 0.35 P4 };
{ 0.65 P3, 0.35 P4 };
endrule



rule "Tetrahedron Vis a Vis Point with 2 edges (1)"

quality 1

mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 0.866, 0) { 0.5 };
(0.5, 0.288, -0.816) { 0.5 };

mapfaces
(1, 2, 3) del;

mapedges
(1, 4);
(2, 4);

newpoints

newfaces
(4, 3, 1);
(4, 2, 3);
(4, 1, 2);

elements
(1, 2, 3, 4);


freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ -0.35 P1, 0.45 P2, 0.45 P3, 0.45 P4 };
{ 0.45 P1, -0.35 P2, 0.45 P3, 0.45 P4 };
{ 0.45 P1, 0.45 P2, -0.35 P3, 0.45 P4 };
{ -0.05 P1, -0.05 P2, 0.7 P3, 0.4 P4 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 0.3333 P2, 0.3333 P3, 0.3334 P4 };
{ 0.3333 P1, 0.3333 P3, 0.3334 P4 };
{ 0.3333 P1, 0.3333 P2, 0.3334 P4 };
{ 0.65 P3, 0.35 P4 };
endrule




rule "Tetrahedron Vis a Vis Point with 3 edges (1)"

quality 1

mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 0.866, 0) { 0.5 };
(0.5, 0.288, -0.816) { 0.5 };

mapfaces
(1, 2, 3) del;

mapedges
(1, 4);
(2, 4);
(3, 4);

newpoints

newfaces
(4, 3, 1);
(4, 2, 3);
(4, 1, 2);

elements
(1, 2, 3, 4);


freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ -0.35 P1, 0.45 P2, 0.45 P3, 0.45 P4 };
{ 0.45 P1, -0.35 P2, 0.45 P3, 0.45 P4 };
{ 0.45 P1, 0.45 P2, -0.35 P3, 0.45 P4 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 0.3333 P2, 0.3333 P3, 0.3334 P4 };
{ 0.3333 P1, 0.3333 P3, 0.3334 P4 };
{ 0.3333 P1, 0.3333 P2, 0.3334 P4 };
endrule






rule "Tetrahedron Vis a Vis Triangle (1)"

quality 100

mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 0.866, 0) { 0.5 };
(0, 0, -0.816) { 0.5 };
(1, 0, -0.816) { 0.5 };
(0.5, 0.866, -0.816) { 0.5 };

mapfaces
(1, 2, 3) del;
(4, 6, 5) del;

newpoints

newfaces
(1, 2, 4);
(2, 5, 4);
(2, 3, 6);
(2, 6, 5);
(3, 1, 4);
(3, 4, 6);


elements
(1, 2, 3, 4);
(4, 2, 3, 6);
(4, 2, 6, 5);

freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };
{ 1 P6 };
{ -0.2 P1, 0.35 P2, 0.35 P3, -0.2 P4, 0.35 P5, 0.35 P6 };
{ 0.35 P1, -0.2 P2, 0.35 P3, 0.35 P4, -0.2 P5, 0.35 P6 };
{ 0.35 P1, 0.35 P2, -0.2 P3, 0.35 P4, 0.35 P5, -0.2 P6 };
endrule




rule "Octaeder 1"

quality 100

mappoints
(0, 0, 0);
(1, 0, 0) { 0.95 };
(0.5, 0.866, 0) { 0.95 };
(0.5, -0.288, -0.816) { 0.5 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;

newpoints
(1, 0.578, -0.816) { 0.5 X3, 0.5 X4 } { 0.5 Y3, 0.5 Y4} { 0.5 Z3, 0.5 Z4 };
(0, 0.578, -0.816) { 0.5 X3, 0.5 X4 } { 0.5 Y3, 0.5 Y4} { 0.5 Z3, 0.5 Z4 };

newfaces
(2, 3, 5);
(3, 1, 6);
(3, 6, 5);
(2, 5, 4);
(1, 4, 6);
(4, 5, 6);

elements
(3, 4, 1, 2);
(3, 4, 2, 5);
(3, 4, 5, 6);
(3, 4, 6, 1);

freezone
(0, 0, 0);
(1, 0, 0) { 1 X2 } { } { };
(0.5, 0.866, 0) { 1 X3 } { 1 Y3 } { };
(0.5, -0.288, -0.816) { 1 X4 } { 1 Y4 } { 1 Z4 };
(-0.5, 1, -1.5) { 0.5 X3, 0.5 X4 } { 0.5 Y3, 0.5 Y4 } { 1 Z4 };
( 1.5, 1, -1.5) { 0.5 X3, 0.5 X4 } { 0.5 Y3, 0.5 Y4 } { 1 Z4 };

endrule



rule "Octaeder 2"

quality 100

mappoints
(0, 0, 0);
(1, 0, 0) { 0.95 };
(0.5, 0.866, 0) { 0.95 };
(0.5, -0.288, -0.816) { 0.5 };
(1, 0.578, -0.816) { 0.5 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;

newpoints
(0, 0.578, -0.816) { 0.5 X3, 0.5 X4 } { 0.5 Y3, 0.5 Y4} { 0.5 Z3, 0.5 Z4 };

newfaces
(2, 3, 5);
(3, 1, 6);
(3, 6, 5);
(2, 5, 4);
(1, 4, 6);
(4, 5, 6);

elements
(3, 4, 1, 2);
(3, 4, 2, 5);
(3, 4, 5, 6);
(3, 4, 6, 1);

freezone
(0, 0, 0);
(1, 0, 0) { 1 X2 } { } { };
(0.5, 0.866, 0) { 1 X3 } { 1 Y3 } { };
(0.5, -0.288, -0.816) { 1 X4 } { 1 Y4 } { 1 Z4 };
(1, 0.578, -0.816) { 1 X5 } { 1 Y5 } { 1 Z5 };

(0.9, 0.097, -0.544) { 0.333 X2, 0.333 X4, 0.333 X5 }
                     { 0.333 Y2, 0.333 Y4, 0.333 Y5 }
                     { 0.333 Z2, 0.333 Z4, 0.333 Z5 };
(0.9, 0.481, -0.272) { 0.333 X2, 0.333 X3, 0.333 X5 }
                     { 0.333 Y2, 0.333 Y3, 0.333 Y5 }
                     { 0.333 Z2, 0.333 Z3, 0.333 Z5 };

(-0.5, 1, -1.5) { 0.5 X3, 0.5 X4 } { 0.5 Y3, 0.5 Y4 } { 0.5 Z4, 0.5 Z5 };

endrule


rule "Octaeder 2a"


quality 100

mappoints
(0, 0, 0);
(1, 0, 0) { 0.95 };
(0.5, 0.866, 0) { 0.95 };
(0.5, -0.288, -0.816) { 0.5 };
(1, 0.578, -0.816) { 0.5 };

mapfaces
(1, 2, 3) del;
(3, 2, 5) del;

newpoints
(0, 0.578, -0.816)
	{ -1 X2, 1 X3, 1 X4 }
	{ -1 Y2, 1 Y3, 1 Y4 }
	{ -1 Z2, 1 Z3, 1 Z4 };

newfaces
(1, 2, 4);
(3, 1, 6);
(3, 6, 5);
(2, 5, 4);
(1, 4, 6);
(4, 5, 6);

elements
(3, 4, 1, 2);
(3, 4, 2, 5);
(3, 4, 5, 6);
(3, 4, 6, 1);

freezone
(0, 0, 0);
(1, 0, 0) { 1 X2 } { } { };
(0.5, 0.866, 0) { 1 X3 } { 1 Y3 } { };
(0.5, -0.288, -0.816) { 1 X4 } { 1 Y4 } { 1 Z4 };
(1, 0.578, -0.816) { 1 X5 } { 1 Y5 } { 1 Z5 };

(0.9, 0.097, -0.544) { 0.333 X2, 0.333 X4, 0.333 X5 }
                     { 0.333 Y2, 0.333 Y4, 0.333 Y5 }
                     { 0.333 Z2, 0.333 Z4, 0.333 Z5 };

(0.5, -0.097, -0.272) { 0.333 X2, 0.333 X4, 0.333 X1 }
                     { 0.333 Y2, 0.333 Y4, 0.333 Y1 }
                     { 0.333 Z2, 0.333 Z4, 0.333 Z1 };

(-0.5, 1, -1.5) { 0.5 X3, 0.5 X4 } { 0.5 Y3, 0.5 Y4 } { 0.5 Z4, 0.5 Z5 };

endrule




rule "Pyramid 1"

quality 100

mappoints
(0, 0, 0);
(1, 0, 0) { 1 };
(0.5, 0.866, 0) { 1 };
(0.5, -0.288, -0.816) { 1 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;

newpoints
(1, 0.578, -0.816) { 0.5 X3, 0.5 X4 } { 0.5 Y3, 0.5 Y4} { 0.5 Z3, 0.5 Z4 };

newfaces
(1, 4, 3);
(2, 3, 5);
(2, 5, 4);
(4, 5, 3);

elements
(1, 2, 3, 4);
(4, 2, 3, 5);


freezone
(0, 0, 0);
(1, 0, 0) { 1 X2 } { } { };
(0.5, 0.866, 0) { 1 X3 } { 1 Y3 } { };
(0.5, -0.288, -0.816) { 1 X4 } { 1 Y4 } { 1 Z4 };
(0, 1, -1) { 0.5 X3, 0.5 X4 } { 1 Y3 } { 1 Z4 };
(1.5, 1, -1.5) { 0.5 X3, 0.5 X4 } { 0.5 Y3, 0.5 Y4} { 0.5 Z3, 0.5 Z4 };

endrule








rule "Tetrahedron 2 times 60"

quality 1

mappoints
(0, 0, 0);
(1, 0, 0) { 0.3 };
(0.5, 0.866, 0) { 0.3 };
(0.5, 0.288, -0.816) { 0.3 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;
(2, 4, 3) del;

newpoints

newfaces
(1, 4, 3);

elements
(1, 2, 3, 4);

freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 0.4 P1, 0.4 P4, 0.4 P3, -0.2 P2 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 0.3333 P1, 0.3333 P3, 0.3334 P4 };
endrule



rule "Fill Tetrahedron (1)"

quality 1

mappoints
(0, 0, 0);
(1, 0, 0) { 0.2 };
(0.5, 0.866, 0) { 0.2 };
(0.5, 0.288, -0.816) { 0.2 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;
(2, 4, 3) del;
(3, 4, 1) del;

newpoints

newfaces

elements
(1, 2, 3, 4);

freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
endrule










rule "Tetrahedron 120 (1)"

quality 1

mappoints
(0, 0, 0);
(1, 0, 0) { 1 };
(0.5, 0.866, 0) { 1 };
(0.5, -0.674, -0.544) { 1 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;

newpoints
(0.5, 0.288, -0.816)
	{ -0.5 X1, -0.5 X2, 1 X3, 1 X4 }
	{ -0.5 Y1, -0.5 Y2, 1 Y3, 1 Y4}
	{ -0.5 Z1, -0.5 Z2, 1 Z3, 1 Z4};

newfaces
(1, 5, 3);
(3, 5, 2);
(1, 4, 5);
(2, 5, 4);

elements
(1, 2, 3, 5);
(1, 4, 2, 5);


freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1.3 P5, -0.3 P1 };
{ 1.3 P5, -0.3 P2 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };
{ 1 P5 };
endrule





rule "Tetrahedron 2 times 120 (1)"

quality 100

mappoints
(0, 0, 0);
(1, 0, 0) { 1 };
(0.5, 0.866, 0) { 1 };
(0.5, -0.674, -0.544) { 0.8 };
(1.334, 0.77, -0.544) { 0.8 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;
(3, 2, 5) del;

newpoints
(0.5, 0.288, -0.816) { 0.25 X1, -0.5 X2, 0.25 X3, 0.5 X4, 0.5 X5 }
		 { 0.25 Y1, -0.5 Y2, 0.25 Y3, 0.5 Y4, 0.5 Y5 }
		 { 0.25 Z1, -0.5 Z2, 0.25 Z3, 0.5 Z4, 0.5 Z5 };

newfaces
(6, 3, 1);
(6, 1, 4);
(6, 4, 2);
(6, 2, 5);
(6, 5, 3);

elements
(1, 2, 3, 6);
(1, 4, 2, 6);
(2, 5, 3, 6);

freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };
{ 1.4 P6, -0.4 P2 };
{ 1.4 P6, -0.4 P1 };
{ 1.4 P6, -0.4 P3 };
endrule




rule "four Tetrahedron non convex (4)"

quality 4
flags l;

mappoints
(0, 0, 0);
(1, 0, 0) { 0.1 };
(0.5, 1, 0) { 0.1 };
(0.5, 0, -1) { 0.1 };
(0.5, 0.3, -0.3) { 0.1 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;
(1, 5, 4) del;
(1, 3, 5) del;


newpoints
(0.5, 0.1, -0.1)
	 { 0.333 X1, 0.333 X2, 0.334 X5 }
	 { 0.333 Y1, 0.333 Y2, 0.334 Y5 }
	 { 0.333 Z1, 0.333 Z2, 0.334 Z5 };

newfaces
(6, 2, 3) del;
(6, 4, 2) del;
(6, 5, 4) del;
(6, 3, 5) del;


elements
(1, 2, 3, 6);
(1, 4, 2, 6);
(1, 5, 4, 6);
(1, 3, 5, 6);


freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };
{ 1.5 P6, -0.5 P1 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };
{ 1 P6 };



freeset
1 6 2 3;

freeset
1 6 3 5;

freeset
1 6 5 4;

freeset
1 6 4 2;

endrule






rule "five Tetrahedron non convex (4)"

quality 4
flags l;

mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 1, 0) { 0.5 };
(0, 0.8, -0.2) { 0.5 };
(0, 0.2, -0.8) { 0.5 };
(0.5, 0, -1) { 0.5 };


mapfaces
(1, 2, 3) del;
(1, 3, 4) del;
(1, 4, 5) del;
(1, 5, 6) del;
(1, 6, 2) del;

newpoints
(0.1, 0.1, -0.1)
	 { 0.75 X1, 0.05 X2, 0.05 X3, 0.05 X4, 0.05 X5, 0.05 X6 }
	 { 0.75 Y1, 0.05 Y2, 0.05 Y3, 0.05 Y4, 0.05 Y5, 0.05 Y6 }
	 { 0.75 Z1, 0.05 Z2, 0.05 Z3, 0.05 Z4, 0.05 Z5, 0.05 Z6 };

newfaces
(7, 2, 3);
(7, 3, 4);
(7, 4, 5);
(7, 5, 6);
(7, 6, 2);


elements
(1, 2, 3, 7);
(1, 3, 4, 7);
(1, 4, 5, 7);
(1, 5, 6, 7);
(1, 6, 2, 7);


freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };
{ 1 P6 };
{ 1.5 P7, -0.5 P1 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };
{ 1 P6 };
{ 1 P7 };



freeset
1 7 2 3;

freeset
1 7 3 4;

freeset
1 7 4 5;

freeset
1 7 5 6;

freeset
1 7 6 2;

endrule







rule "four Tetrahedron non convex (6)"

quality 6
flags l;

mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 1, 0) { 0.5 };
(0.5, 0, -1) { 0.5 };
(0.5, 0.3, -0.3) { 0.5 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;
(1, 5, 4) del;
(1, 3, 5) del;


newpoints
(0.095, 0.003, -0.003)
	 { 0.9 X1, 0.09 X2, 0.01 X5 }
	 { 0.9 Y1, 0.09 Y2, 0.01 Y5 }
	 { 0.9 Z1, 0.09 Z2, 0.01 Z5 };

newfaces
(6, 2, 3) del;
(6, 4, 2) del;
(6, 5, 4) del;
(6, 3, 5) del;


elements
(1, 2, 3, 6);
(1, 4, 2, 6);
(1, 5, 4, 6);
(1, 3, 5, 6);


freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };
{ 1.499 P6, -0.5 P1, 0.001 P2 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };
{ 1 P6 };



freeset
1 6 2 3;

freeset
1 6 3 5;

freeset
1 6 5 4;

freeset
1 6 4 2;

endrule

















rule "four Tetrahedron non convex (6)"

quality 100


mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 1, 0) { 0.5 };
(0.5, 0, -1) { 0.5 };
(0.5, 0.4, -0.4) { 0.5 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;
(4, 5, 2) del;
(5, 3, 2) del;

newpoints
(0.925, 0.02, -0.02)
	 { 0.05 X1, 0.9 X2, 0.05 X5 }
	 { 0.05 Y1, 0.9 Y2, 0.05 Y5 }
	 { 0.05 Z1, 0.9 Z2, 0.05 Z5 };

newfaces
(3, 1, 6);
(1, 4, 6);
(4, 5, 6);
(5, 3, 6);

elements
(3, 1, 2, 6);
(1, 4, 2, 6);
(4, 5, 2, 6);
(5, 3, 2, 6);

orientations
(3, 1, 2, 5);
(1, 4, 2, 5);
(2, 4, 5, 1);
(3, 2, 5, 1);
(5, 4, 2, 3);

freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };
{ 1.5 P6, -0.5 P2 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };
{ 1 P6 };

freeset
3 1 2 6;

freeset
1 4 2 6;

freeset
4 5 2 6;

freeset
5 3 2 6;

endrule










rule "three Tetrahedron non convex (4)"

quality 4
flags l;

mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 1, 0) { 0.5 };
(0.5, 0, -1) { 0.5 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;
(1, 3, 4) del;

newpoints
(0.5, 0.25, -0.25)
	 { 0.25 X1, 0.25 X2, 0.25 X3, 0.25 X4 }
	 { 0.25 Y1, 0.25 Y2, 0.25 Y3, 0.25 Y4 }
	 { 0.25 Z1, 0.25 Z2, 0.25 Z3, 0.25 Z4 };

newfaces
(5, 2, 3);
(5, 4, 2);
(5, 3, 4);

elements
(2, 3, 1, 5);
(3, 4, 1, 5);
(4, 2, 1, 5;

orientations
(1, 2, 4, 3);

freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1.5 P5, -0.5 P1 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };

freeset
1 2 3 5;

freeset
1 3 4 5;

freeset
1 4 2 5;

endrule





rule "three Tetrahedron non convex (6)"

quality 100


mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 1, 0) { 0.5 };
(0.5, 0, -1) { 0.5 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;
(1, 3, 4) del;

newpoints
(0.2, 0.1, -0.1)
	 { 0.7 X1, 0.1 X2, 0.1 X3, 0.1 X4 }
	 { 0.7 Y1, 0.1 Y2, 0.1 Y3, 0.1 Y4 }
	 { 0.7 Z1, 0.1 Z2, 0.1 Z3, 0.1 Z4 };

newfaces
(5, 2, 3);
(5, 4, 2);
(5, 3, 4);

elements
(2, 3, 1, 5);
(3, 4, 1, 5);
(4, 2, 1, 5;

orientations
(1, 2, 3, 4);

freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1.5 P5, -0.5 P1 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };

freeset
1 2 3 5;

freeset
1 3 4 5;

freeset
1 4 2 5;

endrule










rule "four Tetrahedron non convex (6)"

quality 100


mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 1, 0) { 0.5 };
(0.5, 0, -1) { 0.5 };
(0.5, 0.4, -0.4) { 0.5 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;
(4, 5, 2) del;
(5, 3, 2) del;

newpoints
(0.7, 0.08, -0.08) { 0.6 X2, 0.2 X5 } { 0.2 Y5 } { 0.2 Z5 };

newfaces
(3, 1, 6);
(1, 4, 6);
(4, 5, 6);
(5, 3, 6);

elements
(3, 1, 2, 6);
(1, 4, 2, 6);
(4, 5, 2, 6);
(5, 3, 2, 6);


orientations
(3, 1, 2, 5);
(5, 1, 2, 4);

freezone
(0, 0, 0);
(1, 0, 0) { 1 X2 } { } { };
(0.5, 1, 0) { 1 X3 } { 1 Y3 } { };
(0.5, 0, -1) { 1 X4 } { 1 Y4 } { 1 Z4 };
(0.5, 0.4, -0.4) { 1 X5 } { 1 Y5 } { 1 Z5 };
(0.55, 0.12, -0.12) { 0.4 X2, 0.3 X5 } { 0.3 Y5 } { 0.3 Z5 };

freeset
3 1 2 6;

freeset
1 4 2 6;

freeset
4 5 2 6;

freeset
5 3 2 6;

endrule











rule "Tetrahedron 2 in 60 (12)"

quality 100

mappoints
(0, 0, 0);
(1, 0, 0) { 0.5 };
(0.5, 1, 0) { 0.5 };
(0.5, 0, -1) { 0.5 };

mapfaces
(1, 2, 3) del;
(1, 4, 2) del;

newpoints
(0.5, 0.1, -0.1)
	{ 0.4 X1, 0.4 X2, 0.1 X3, 0.1 X4 }
	{ 0.4 Y1, 0.4 Y2, 0.1 Y3, 0.1 Y4 }
	{ 0.4 Z1, 0.4 Z2, 0.1 Z3, 0.1 Z4 };

newfaces
(5, 2, 3);
(5, 3, 1);
(5, 4, 2);
(5, 1, 4);

elements
(1, 2, 3, 5);
(1, 2, 5, 4);

freezone2
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1.5 P5, -0.25 P1, -0.25 P2 };

freezonelimit
{ 1 P1 };
{ 1 P2 };
{ 1 P3 };
{ 1 P4 };
{ 1 P5 };

freeset
1 2 3 5;

freeset
1 2 4 5;

endrule




rule "Tetrahedron 120, but more than 180 (13)"

quality 100

mappoints
(0, 0, 0);
(1, 0, 0) { 1 };
(0.5, 0.866, 0) { 1 };
(0.5, -0.866, 0) { 1 };

mapfaces
(1, 2, 3) del;
(1, 4, 2);

newpoints
(0.5, 0, -0.3) { 0.5 X3, 0.5 X4 } { 0.5 Y3, 0.5 Y4} { 0.5 Z3, 0.5 Z4 };

newfaces
(1, 5, 3);
(3, 5, 2);
(2, 5, 1);

elements
(1, 2, 3, 5);


freezone
(0, 0, 0);
(1, 0, 0) { 1 X2 } { } { };
(0.5, 0.866, 0) { 1 X3 } { 1 Y3 } { };
(0.5, -0.1, -0.4)  { 0.5 X3, 0.5 X4 } { 0.5 Y3, 0.5 Y4} { 0.5 Z3, 0.5 Z4 };

endrule





rule "Free Tetrahedron (14)"

quality 100

mappoints
(0, 0, 0);
(1, 0, 0) { 1.0 };
(0.5, 0.866, 0) { 1.0 };

mapfaces
(1, 2, 3) del;

newpoints
(0.5, 0.288, -0.2) { 0.333 X2, 0.333 X3 } { 0.333 Y3 } { };

newfaces
(4, 1, 2);
(4, 2, 3);
(4, 3, 1);

elements
(1, 2, 3, 4);

freezone
(0, 0, 0);
(1, 0, 0) { 1 X2 } { } { };
(0.5, 0.866, 0) { 1 X3 } { 1 Y3 } { };
(0.5, 0.288, -0.25) { 0.333 X2, 0.333 X3 } { 0.333 Y3 } { };

endrule



rule "Free Tetrahedron (15)"

quality 100

mappoints
(0, 0, 0);
(1, 0, 0) { 1.0 };
(0.5, 0.866, 0) { 1.0 };

mapfaces
(1, 2, 3) del;

newpoints
(0.5, 0.288, -0.1) { 0.333 X2, 0.333 X3 } { 0.333 Y3 } { };

newfaces
(4, 1, 2);
(4, 2, 3);
(4, 3, 1);

elements
(1, 2, 3, 4);

freezone
(0, 0, 0);
(1, 0, 0) { 1 X2 } { } { };
(0.5, 0.866, 0) { 1 X3 } { 1 Y3 } { };
(0.5, 0.288, -0.15) { 0.333 X2, 0.333 X3 } { 0.333 Y3 } { };

endrule