Logic and mathematical puzzle

A puzzle comprising:

• a prefabricated solvable puzzle construction, including:
• a plurality of geometric shapes arranged contiguously;
• linear constructs formed in the alignment of said geometric shapes;
• empty spaces formed at the intersections of said geometric shapes;
• indicia, selected from predetermined, limited set, placed without repetition in said geometric shapes and aligned with said linear constructs, a predetermined subset of said indicia being provided to an examinee as clues for solving said puzzle;
• aggregated information about said indicia bordering said empty spaces provided to an examinee as clues for solving said puzzle;
• and
• aggregated information about said indicia residing in said linear constructs provided to an examinee as clues for solving said puzzle

A method of creating a prefabricated mathematically solvable puzzle, comprising the steps of:

• generating a puzzle structure of the type comprising a plurality of geometric shapes contiguously aligned, linear constructs formed in the alignment of said geometric shapes, empty spaces formed at the intersections of said geometric shapes, indicia selected from the set of integer numbers, and aggregations of said indicia,
• creating a valid solution by randomly placing said indicia into said geometric shapes so that no indicia are repeated in any geometric shape or linear construct,
• removing indicia from said valid solution based on desired puzzle difficulty,
• replacing indicia into said valid solution if certain conditions are met that would lead to said puzzle having the possibility of being solvable with more than one combination of indicia, and
• creating the physical presentation that instantiates said puzzle structure, places indicia not removed in previous steps in correct positions, leaves the positions corresponding to removed indicia blank, optionally replaces said indicia not removed with uniquely corresponding indicia, and calculates and displays the aggregated information.