Single Aperiodic Shaped Tile

Abstract

The present invention relates to tiles with a unique Single Aperiodic Shape, also known as an Einstein Tile. This shape allows an entire surface to be covered with a single tile without forming repeating patterns. The tile can be made from various materials, including ceramics, metals, stones, and plastics, making it versatile for different applications.

The invention claimed is: 
     
         1 . A surface covering tile comprising a substantially planar body, an upper surface configured for exposure to the exterior environment, a lower surface configured for contact with the substrate, marginal faces disposed along a perimeter who's border is defined as a Single Aperiodic Shape, wherein a plurality of the shapes can cover surfaces larger than itself without forming a repeating pattern. 
     
     
         2 . The tile of  claim 1 , wherein the shape is a plurality of, or combination of, shapes. 
     
     
         3 . The tile of  claim 1 , wherein the shapes are derived from principles of Aperiodic Tile Sets (commonly referred to as Penrose tiles or Ammann Tiles) such that multiple types of these shapes, grouped together, are required to achieve the aperiodic tiling. 
     
     
         4 . The tile of  claim 1 , wherein the shapes are derived from principles of Non-Periodic Tiles and are designed to prevent or restrict periodic tiling. 
     
     
         5 . The tile of  claim 1 , wherein the tile perimeter is defined by surface markings such as grooves, coloring, paint or other such visual only markings. 
     
     
         6 . The tile of  claim 1 , wherein a uniform gap is left between tiles to be filled with other materials such as grout or gravel. 
     
     
         7 . The surface covering element of  claim 1 , wherein the tile is primarily made from ceramics. 
     
     
         8 . The surface covering element of  claim 1 , wherein the tile is primarily made from porcelain. 
     
     
         9 . The surface covering element of  claim 1 , wherein the tile is primarily made from stone. 
     
     
         10 . The surface covering element of  claim 1 , wherein the tile is primarily made from polymers including Vinyl. 
     
     
         11 . The surface covering element of  claim 1 , wherein the tile is primarily made from glass. 
     
     
         12 . The surface covering element of  claim 1 , wherein the tile is primarily made from cement. 
     
     
         13 . The surface covering element of  claim 1 , wherein the tile is primarily made from metals. 
     
     
         14 . The surface covering element of  claim 1 , wherein the tile is primarily made from wood. 
     
     
         15 . The surface covering element of  claim 1 , wherein the tile is primarily made from bamboo. 
     
     
         16 . The surface covering element of  claim 1 , wherein the tile is primarily made from rubber. 
     
     
         17 . The surface covering element of  claim 1 , wherein the tile is primarily made from fabric.