Structural elements and tile sets

Abstract

The invention relates to sets of structural elements representing equilateral irregular pentagonal structures with angles of 36°, 108°, 108°, 36° and 252°, which enable a plurality of patterns that can cover a plane periodically or non-periodically. Modified structural elements in which each side of the equilateral, irregular pentagon is replaced by point-symmetrical lines also cover the plane. Sets of said structural elements can be used for tile applications, tile games such as puzzles, intarsia products, jewelry and the production of fabrics and wallpaper.

1 . Set of structural elements which comprises at least one subset UA of congruent structural elements SA with a circumference derived from an equilateral polygon, 
 characterized in that the circumference of all structural elements SA consists of five lines LF, which connect in a closed way the comers of an equilateral, irregular pentagon (GUF), wherein the angles of the equilateral irregular pentagon are 36°, 108°, 108°, 36° and 252°.    
     
     
         2 . Set of structural elements in accordance with  claim 1 , characterized in that the lines LF are congruent and selected from 
 straight lines GL    centrally symmetrical non-straight lines ZL    mirror symmetrical non-straight lines SL,    and in that the connecting lines ZL and SL do not intersect, preferably also do not touch except in the corners of the GUF.    
     
     
         3 . Set of structural elements in accordance with  claim 2 , characterized in that these comprise at least one further subset UB of second structural elements SB differing from the structural elements SA but being complimentary to the subgroup UA in such a way that the subgroups UA and UB can be juxtaposed so that they cover a portion of the plane without gaps.  
     
     
         4 . Set of structural elements in accordance with  claim 3 , characterized in that the structural elements SA have a circumference which results from lines LF which consist of two sections LC of equal length forming an angle of 144° between them and forming an irregular equilateral decagon (GUZ) and in that the structural elements SB have the circumference of an equilateral irregular hexagon (GUS) with six line elements (LS) of the same length as LZ and the internal angles of 72°, 216°, 72°, 72°, 216°, 72°.  
     
     
         5 . Set of structural elements in accordance with one of the preceding claims characterized in that the circumference of the structural elements SA respectively SB are generated by connecting the corners of the GUF or respectively the GUZ or respectively the GUS by congruent, centrally symmetrically, non-straight lines, or 
 by congruent mirror symmetrical non-straight lines which do not intersect    
     
     
         6 . Structural element, in particular placement game element, tile or inlay part, 
 characterized in that the structural element has a circumference which connects the cornets of an equilateral, irregular pentagon (FIG. 1) with the angles 36°, 108°, 108°, 36°, 252° by the lines (b) or (c), or    the corners of an equilateral decagon (FIG. 11 b ) with the angles 288°, 144°, 72°, 144°, 144°, 144°, 144°, 144° by the lines (a), (b) or (c), or    the corners of an equilateral irregular hexagon (FIG. 11 c ) with the angles 72°, 72°, 216°, 72°, 72°, 216° by the lines (a), (b), or (c), or    the corners of an equilateral irregular hexagon (FIG. 4) with the angles 36°, 144°, 108°, 108°, 72°, 252° by the lines (a), (b) or (c), or    the corners of an equilaterally irregular octagon FIG. 5) with the angles 108°, 36°, 252°, 72°, 252°, 36°, 108°, 216° by the lines (a), (b) or (c), or    the corners of an equilateral irregular octagon (FIG. 6) with the angles 36°, 108°, 144°, 252°, 26°, 108°, 144°, 252° by the lines (a), (b) or (c),    wherein the connecting lines    (a) represent straight lines    (b) represent centrally symmetrical, non-straight lines    (c) represent mirror symmetrical, non-straight lines.    
     
     
         7 . Structural elements, in particular puzzle element, tile or inlay piece, characterized in that 
 the structural element has a circumference as it is shown in one of the Figures or respectively such a circumference with rounded corners.    
     
     
         8 . Group of congruent structural elements, characterized in that it comprises a plurality of structural elements in accordance to one of the claims directed to structural elements.  
     
     
         9 . Group of structural elements in accordance with one of the claims directed to groups of structural elements, characterized in that the group comprises of one or more of the following features: 
 a) The structural elements have rounded corners;    b) The structural elements differ in their surface design;    c) The structural elements have approximately rectangular cross-section    d) The subgroup UA has at least three, preferably at least four structural elements with congruent circumference;    e) The thickness of the structural elements is relatively small in comparison to the length of the side of the GUF respectively GUZ respectively GUS;    f) The structural elements arc tiles, inlay elements or placement game elements, in particular puzzle elements;    g) The corners of the rectangular irregular polygons are connected by rounded point symmetrical lines, preferably forming structural elements with back cuts to hook the structural elements to each other.    
     
     
         10 . Use of the structural elements and group of structural elements in accordance with one of the claims directed to such groups or respectively structural elements in placement games, puzzles, inlay work, jewelry, tile sets, fabrics, wallpapers or to cover surface arcas, wall areas or furniture surfaces.  
     
     
         11 . Placement game, in particular puzzle, characterized by at least a set of structural elements in accordance with one of the preceding claims and preferably by a closed edge area which encompasses a placement area which can be filled by a number of structural elements.