Method of making a non-repetitive modular design

A method of making modular furniture from a set of identical cubes, comprising the steps of:

• (a) forming a non-repetitive modular design by selecting at least one pair of points along the side of a square having vertices, the points being arranged in a patter which is symmetrical around the midpoint of the side of the square, the points being distinct from said midpoint and from the vertices of said square, reproducing the pattern of points on the remaining sides of the square, and connecting the points with lines, such that each point is connected to one line, and such that the resulting pattern does not have rotational symmetry,
• (b) duplicating the design formed in step (a) onto the faces of a cube,
• (c) making a plurality of copies of the cube formed in step (b), and
• (d) arranging the cubes formed in step (b) to form an item of furniture.

A method of decorating a surface, comprising the steps of:

• (a) forming a non-repetitive modular design by selecting at least one pair of points along the side of an element having the shape of a polygon having vertices, the points being arranged in a pattern which is symmetrical around the midpoint of a side of the polygon, the points being distinct from said midpoint and said vertices, the polygon being capable of being nested with other polygons of substantially identical shape and size and arranged to cover the surface, reproducing the pattern of points on the remaining sides of the polygon, and connecting the points with lines, such that each point is connected to one line, and such that the resulting pattern does not have rotational symmetry,
• (b) making copies of the design formed in step (a),
• (c) arranging said copies randomly over the surface, and
• (d) permanently fixing each of said copies in its position as determined in step (c).

A decorated surface, comprising:

• a plurality of identical non-repetitive design modules, each said module having the shape of a regular polygon having vertices, at least one pair of points being defined along each side of the module, the points being arranged in a pattern which is symmetrical around the midpoints of said sides, the points being distinct from said midpoint and said vertices;
• the modules being capable of being nested with other modules of substantially identical shape and size and arranged to cover the surface;
• each side of the modules having the same pattern of points, the points being connected with lines, such that each point is connected to one line, such that the resulting pattern does not have rotational symmetry;
• said modules being arranged randomly over the surface, with said plurality of modules being arranged in a random manner so as to completely cover said surface exclusively with said identical modules, each line in a given module being continuous with a corresponding line in an identical adjacent module;
• and
• each of said modules being permanently fixed in its arranged position on said surface.

A non-repetitive design module comprising:

• a regular polygon, the polygon having vertices;
• at least one pair of points being defined along each side of the polygon, the points being arranged in a pattern which is symmetrical around the midpoint of each said side of the polygon, the points being distinct from said midpoint and distinct from said vertices, the polygon being capable of being nested with other polygons of substantially identical shape and size and arranged to cover a surface;
• the pattern of points being identical on each of the sides of the polygon, and the points being connected with lines, such that each point is connected to one line, the lines being drawn such that the resulting pattern does not have rotational symmetry;
• and
• wherein at least one of said lines connects points on the same side of the polygon.

A non-repetitive design module, comprising:

• a regular polygon, the polygon having vertices;
• at least one pair of points being defined along each side of the polygon, the points being arranged in a pattern which is symmetrical around the midpoint of each said side of the polygon, the points being distinct from said midpoint and distinct from said vertices, the polygon being capable of being nested with other polygons of substantially identical shape and size and arranged to cover a surface;
• the pattern of points being identical on each of the sides of the polygon, and the points being connected with lines, such that each point is connected to one line, the lines being drawn such that the resulting pattern does not have rotational symmetry;
• and
• wherein at least two pairs of points are defined along each side of the polygon.

A non-repetitive design module, comprising:

• a regular polygon, the polygon having vertices;
• at least one pair of points being defined along each side of the polygon, the points being arranged in a pattern which is symmetrical around the midpoint of each said side of the polygon, the points being distinct from said midpoint and distinct from said vertices, the polygon being capable of being nested with other polygons of substantially identical shape and size and arranged to cover a surface;
• the pattern of points being identical on each of the sides of the polygon, and the points being connected with lines, such that each point is connected to one line, the lines being drawn such that the resulting pattern does not have rotational symmetry;
• and
• wherein at least two lines separated by a substantially constant distance are connected to points on non-adjacent sides of the polygon.