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The article focuses on the procedures in making hexaflexagons and tetraflexagon out of paper. Diverting six-sided paper structures that can be flexed to bring different surfaces into view is known as hexaflexagons. Tetraflexagon is a three-faced structure. It suggested that papers must be folded according to the number of sides it requires. Tetraflexagon can also be made with four or more faces. It has been stated that all folds of paper are made to conform with the way the lines were originally creased.

The article focuses on mathematical recreation problems involving the unusual polygons which have the property of making larger and smaller copies of themselves. Solomon W. Colomb has written three papers on the general theory of polygon replication. He calls them rep-tiles. A replicating polygon of order k can be divided into k replicas congruent to one another and similar to the original.

Discusses a method for determining which parts of three-dimensional objects are visible and invisible when the objects are rotated about some axis using a polygon comparison scheme. Classification and variation of the relationship between two polygons; Definition of a rotation table; Means for rapid determination of visible and hidden line relationships.

Describes a reentrant polygon clipping algorithms. Ability of the algorithms to clip polygons against irregular convex plane-faced volumes; Representation of polygons to be clipped; Significance of six-plane truncated pyramid.