Instant-win ticket lottery game

An instant-win lottery game system, comprising:

• a plurality of instant-win lottery tickets, each of said tickets comprising a play area with a plurality of play spaces arranged in defined pattern;
• play symbols depicted in a plurality of said play spaces that is less than all of said play spaces, the location of said play symbols being randomly generated such that an unknown variable to the player prior to play of the game is the location of said play symbols;
• a plurality of line segments depicted in said play area, with each said line segment connecting at least two said play spaces, said line segments having a placement and orientation in said play area that is randomly generated;
• a plurality of said play spaces in said play area that is less than all of said play spaces being connected to at least one other said play space by said randomly generated line segments, and wherein different said lottery tickets in said game system have the same percentage of connected play spaces but with different patterns of randomly generated line segments;
• a prize award section on said lottery tickets that defines possible prize awards as a function of a number or pattern of said play symbols in said play spaces that are connected by said line segments;
• a scratch-off layer provided over at least a portion of said play area so as to cover said randomly placed line segments and said play symbols;
• and
• markings on said scratch-off layer that provide at least a partial indication to the player of the placement and orientation of said underlying line segments.