Plain-Strip

        If one figure can be transformed into an element that tills the plain strip with its repeating element, and the other figure can tills the plain strip, too. Then we can superpose these two strips such that the width of one strip is coincident with the width of the element of another strip. We called this technique the “plain-strip” or “P-strip”, technique (Frederickson, 1997).

        In fact, it is a variation of tessellation technique for the strips can repeat non-edge-to-edge to till the plane. One example shown below is the crossposition for strips of pentagon and square. The strip of pentagons is composed of filling a parallelogram in a plain strip and the strip of squares are composed of repeating squares to a strip. The width of strip of squares is coincident with the width of the element of pentagon.

        The limitation of plain strip technique occurs when the width of the first strip is greater then the width of the element in the second strip. Since the areas of these two figures are the same, the width of the second strip will greater then the width of the first element in its strip. This would not possible to make a crossposition for these strips. But it doesn’t involve a special case that the two strips have the same width and their widths of elements are the same. We may cover one strip paralleled with the other strip.  

Parallelogram strips

{6} to {4} (5)

{6} to {4} (5)