Patent Document ID: 7479012
Application ID: 11283636
Patent Flag: 1

Claim One:
1. A method of constructing a three dimensional hexahedron, the method comprising the steps of: providing a flat piece of foldable material; defining an orthogonal coordinate system on the material, the coordinate system having a horizontal axis denoted (a), a vertical axis denoted (i), and an origin denoted ( 1 ); selecting a value for a distance (X) that is greater than zero; selecting a value for a constant (Y) that is greater than zero; multiplying the distance value (X) by the constant (Y) to obtain a distance value (XY); selecting a value for an angle (D) that is between, but not including, 0 and 180 degrees; drawing a line along (a) from the origin ( 1 ) to a new point ( 2 ) that is the distance (X) from the origin ( 1 ), whereby forming a line ( 1 )-( 2 ); continuing the line from the point ( 2 ) at an angle of (180−D) degrees from (α) to a new point ( 3 ) that is the distance (X) from the point ( 2 ), whereby forming a line ( 2 )-( 3 ); continuing the line from the point ( 3 ) at the angle of (D) degrees from (α) to a new point ( 4 ) that is the distance (XY) from the point ( 3 ), whereby forming a line ( 3 )-( 4 ); continuing the line from the point ( 4 ) at an angle of (−[180-2D]) degrees from (α) to new point ( 5 ) that is the distance (XY) from the point ( 4 ), whereby forming a line ( 4 )-( 5 ); continuing the line from the point ( 5 ) at an angle of (D) degrees from (α) to a new point ( 6 ) that is the distance (X) from the point ( 5 ), whereby forming a line ( 5 )-( 6 ); continuing the line from the point ( 6 ) at an angle of (2D) degrees from (α) a new point ( 7 ) that is the distance (XY) from the point ( 6 ), whereby forming a line ( 6 )-( 7 ); continuing the line from the point ( 7 ) at an angle of (180−D) degrees from (α) to a new point ( 8 ) that is the distance (XY) from the point ( 7 ), whereby forming a line ( 7 )-( 8 ); continuing the line from the point ( 8 ) at an angle of 180 degrees from (α) to a new point ( 9 ) that is the distance (X) from the point ( 8 ), whereby forming a line ( 8 )-( 9 ); continuing the line from the point ( 9 ) at an angle of (−D) degrees from (α) to a new point ( 10 ) that is the distance (XY) from the point ( 9 ), whereby forming a line ( 9 )-( 10 ); continuing the line from the point ( 10 ) at an angle of 180 degrees from (α) to a new point ( 11 ) that is the distance (XY) from the point ( 10 ), whereby forming a line ( 10 )-( 11 ); continuing the line from the point ( 11 ) at an angle of (−[180−D]) degrees from (α) to a new point ( 12 ) that is the distance (X) from the point ( 11 ), whereby forming a line ( 11 )-( 12 ); continuing the line from the point ( 12 ) at an angle of 0 degrees from (α) to a new point ( 13 ) that is the distance (XY) from the point ( 12 ), whereby forming a line ( 12 )-( 13 ); continuing the line from the point ( 13 ) at an angle of (−[180−D]) degrees from (α) to a new point ( 14 ) that is the distance (XY) from the point ( 13 ), whereby forming a line ( 13 )-( 14 ); continuing the line from the point ( 14 ) at an angle of (−D) degrees from (α) to the origin ( 1 ) that is the distance (X) from the point ( 14 ), whereby forming a line ( 14 )-( 1 ); connecting the point ( 14 ) to the point ( 3 ), whereby forming a fold line ( 3 )-( 14 ); connecting the point ( 13 ) to the point ( 4 ), whereby forming a fold line ( 4 )-( 13 ); connecting the point ( 13 ) to the point ( 10 ), whereby forming a fold line ( 10 )-( 13 ); connecting the point ( 10 ) to the point ( 7 ), whereby forming a fold line ( 7 )-( 10 ); connecting the point ( 4 ) to the point ( 7 ), whereby forming a fold line ( 4 )-( 7 ); cutting along the following lines: ( 1 )-( 2 ), ( 2 )-( 3 ), ( 3 )-( 4 ), ( 4 )-( 5 ), ( 5 )-( 6 ), ( 6 )-( 7 ), ( 7 )-( 8 ), ( 8 )-( 9 ), ( 9 )-( 10 ), ( 10 )-( 11 ), ( 11 )-( 12 ), ( 12 )-( 13 ), ( 13 )-( 14 ), ( 14 )-( 1 ); folding along the fold lines ( 3 )-( 14 ), ( 4 )-( 13 ), ( 10 )-( 13 ), ( 7 )-( 10 ), and ( 4 )-( 7 ) to begin to form a polyhedron, all of the fold lines being located on an exterior surface of the polyhedron; securing the line ( 7 )-( 8 ) to the line ( 7 )-( 6 ), whereby forming a polyhedral edge (( 7 )-( 8 ))-(( 6 )-( 7 )); securing the line ( 9 )-( 10 ) to the line ( 10 )-( 11 ), whereby forming a polyhedral edge (( 9 )-( 10 ))-(( 10 )-( 11 )); securing the line ( 4 )-( 5 ) to the line ( 3 )-( 4 ), whereby forming a polyhedral edge (( 4 )-( 5 ))-(( 3 )-( 4 )); securing the line ( 12 )-( 13 ) to the line ( 13 )-( 14 ), whereby forming a polyhedral edge (( 12 )-( 13 ))-(( 13 )-( 14 )); securing the line ( 2 )-( 3 ) to the line ( 5 )-( 6 ), whereby forming a polyhedral edge (( 2 )-( 3 ))-(( 5 )-( 6 )); securing the line ( 1 )-( 2 ) to the line ( 8 )-( 9 ), whereby forming a polyhedral edge (( 1 )-( 2 ))-(( 8 )-( 9 )); securing the line ( 1 )-( 14 ) to the line ( 11 )-( 12 ), whereby forming a polyhedral edge (( 1 )-( 14 ))-(( 11 )-( 12 )).