Tessellatable elements and plane tessellations for covering or decoration

摘要

Sets of tessellatable polygonal elements are provided from which a variety of tessellations may be formed for a variety of applications, e. g., to provide coverings and decorations for surfaces such as pedestrian walks, driveways, floors and walls, and to provide patterns for games, puzzles and coloring books. Several different embodiments, applications and tessellations are described. In one embodiment, irregular heptagonal elements are tessellated with substantially regular pentagonal elements. In another embodiment, the elements are heptagonal and square. The tessellations may have straight edges by providing one or more elements of the set of tessellatable elements with a line of symmetry and providing a further tessellatable element or elements which is that part of the element on either side of the line of symmetry. The elements may be colored to provide many variations and decorations. The tessellatable elements described herein may also tessellate with standard size elements of the same or compatible type element.