Patent ID: 7955081

Claim:
A method of producing faces of a truncated polyhedron, 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, a vertical axis, and an origin; selecting values for line distances that are greater than zero; selecting values for angles between lines having the line distances, the angles being between 0 and 180 degrees; selecting values between zero and one, inclusive, for truncating constants; drawing the lines, points, and fold lines on the foldable material in accord with the line distances and angles; defining the value of each truncating constant being less than or equal to one minus another truncating constant on a respective line that will form a single edge of the polyhedron; marking new points along the lines at distances defined by the truncating constants; connecting the new points, whereby forming new fold lines and new triangles; verifying the distances of the new fold lines mathematically; and modifying the new triangles to define a perimeter; wherein at least a portion of the method is accomplished electronically using a system having a computer with computer memory, a processor, a storage unit, a user interface, an output device, and a program with instructions corresponding to at least a portion of the method.