Abstract: A variety of sets of interconnecting plane tiles having shapes, patterns on the faces of some of the tiles and interconnecting elements to be able to construct all 17 plane periodic patterns, the five Platonic solids and the thirteen Archimedean solids are described. The tiles include connectors that enable constructing plane patterns as well as three-dimensional solids.

Abstract: A variety of sets of interconnecting plane tiles having shapes, patterns on the faces of some of the tiles and interconnecting elements to be able to construct all 17 plane periodic patterns, the five Platonic solids and the thirteen Archimedean solids are described. The tiles include connectors that enable constructing plane patterns as well as three-dimensional solids.

Abstract: This invention relates to interlocking rectangular and triangular tiles for use in tessellating a plane, teaching certain aspects of geometry and trigonometry, and creating decorative objects. The tiles comprising the invention, some with a design on them, tessellate the plane with periodic and non-periodic patterns based on the design as the basic unit of repetition. In particular; the tiles can be assembled to create any of the 17 possible plane periodic patterns. The tiles of the present invention can be used as a teaching tool for a partially structured exploration of plane periodic patterns, and for learning the mathematical notation for these patterns. They can also be used for teaching basic geometry to younger children through exploratory play. This invention can also be used as a stencil assembly, so that the patterns created can be transferred to a plane surface and used as decorations.