Dissection puzzle

Abstract

A dissection puzzle comprising a set of pieces, each piece in the set having an obverse face and a reverse face and a plurality of straight edges about said faces, and wherein said set of pieces may be formed into an assembled puzzle of straight-sided geometric shape by arranging the pieces in edge-to-edge abutting relationship, the form of the pieces being selected such that the area of each piece is selected from a set areas of different rational ratios to the area of the assembled puzzle and characterised in that: the obverse face and the reverse face of each piece include markings selected from a predetermined set of markings such that when arranged to form the assembled puzzle and viewed from one side, each edge of each piece adjacent another piece is adjacent a piece having a different marking.

1 . A dissection puzzle comprising a set of fourteen pieces, each piece in the set having an obverse face and a reverse face substantially parallel to the obverse face and a plurality of straight edges about said faces, and wherein said set of pieces may be formed into an assembled puzzle of straight-sided geometric shape by arranging the pieces in edge-to-edge abutting relationship, the form of the pieces being selected such that the area of each piece is an integer fraction of the area of the assembled puzzle, said integer fractions being selected from a set of integer fractions, each different one from the other, at least one of said pieces having an area different from the area of the other pieces and characterised in that:
 the obverse face and the reverse face of each piece include markings selected from a predetermined set of markings such that when arranged to form the assembled puzzle and viewed from one side, each edge of each piece adjacent another piece is adjacent a piece having a different marking.   
   
   
       2 . A dissection puzzle according to  claim 1 , wherein the markings are arranged such that when the pieces are arranged to form the assembled puzzle, there is provided an alternative arrangement of pieces such that the assembled puzzle is comprised of a plurality of regions, one for each marking and of equal area to each of the other regions for each other marking. 
   
   
       3 . A dissection puzzle comprising a set of fourteen pieces, each piece in the set having an obverse face and a reverse face and a plurality of straight edges about said faces, and wherein said set of pieces may be formed into an assembled puzzle of straight-sided geometric shape by arranging the pieces in edge-to-edge abutting relationship, the form of the pieces being selected such that the area of each piece is an integer fraction of the area of the assembled puzzle, said integer fractions being selected from a set of integer fractions each different one from the other, at least one of said pieces having an area different from the area of the other pieces and characterised in that:
 the obverse face and the reverse face of each piece include markings selected from a predetermined set of markings such that when arranged to form the assembled puzzle and viewed from one side, each edge of each piece adjacent another piece is adjacent a piece having a different marking, and   the markings are also arranged such that when arranged to form the assembled puzzle, there is provided an alternative arrangement of pieces such that the assembled puzzle is comprised of a plurality of regions, one for each marking and of equal area to each of the other regions for each other marking.   
   
   
       4 . A dissection puzzle comprising a set of fourteen pieces, each playing piece in the set having an obverse face and a reverse face and a plurality of straight edges about said faces, and wherein said set of pieces may be formed into an assembled puzzle of straight-sided geometric shape by arranging the pieces in edge-to-edge abutting relationship, the form of the pieces being selected such that the area of each piece is an integer fraction of the area of the assembled puzzle, said integer fractions being selected from a set of integer fractions each different one from the other, at least one of said pieces having an area different from the area of the other pieces and characterised in that:
 the obverse face and the reverse face of each piece include markings selected from a predetermined set of markings such that the pieces may be assembled to form an assembled puzzle comprising contiguous areas for each marking in exact ratio for the number of different markings.   
   
   
       5 . A dissection puzzle comprising a set of fourteen pieces, each playing piece in the set having an obverse face and a reverse face and a plurality of straight edges about said faces, and wherein said set of pieces may be formed into an assembled puzzle of straight-sided geometric shape by arranging the pieces in edge-to-edge abutting relationship, the form of the pieces being selected such that the area of each piece is an integer fraction of the area of the assembled puzzle, said integer fractions being selected from a set of integer fractions each different one from the other, at least one of said pieces having an area different from the area of the other pieces and characterised in that:
 the obverse face and the reverse face of each piece include markings selected from a predetermined set of markings such that said assembled puzzle may be formed from all of the pieces with all but one of the markings common to one side of the assembled puzzle.   
   
   
       6 . A dissection puzzle comprising a set of fourteen pieces conforming to the loculus of Archimedes, each piece in the set having an obverse face and a reverse face and a plurality of straight edges about said faces, and wherein said set of pieces may be formed into an assembled puzzle of straight-sided geometric shape by arranging the pieces in edge-to-edge abutting relationship and characterised in that:
 the obverse face and the reverse face of each piece include markings selected from a predetermined set of markings such that when arranged to form the assembled puzzle and viewed from one side, each edge of each piece adjacent another piece is adjacent a piece having a different marking.