Colored-Numbered Puzzle Board Game with Difference-Based Constraints
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Solution Overview
Problem
Existing crossword style mathematical puzzle games lack innovative challenges and mechanisms to enhance player engagement and problem-solving experiences.
Innovation Solution
A crossword style mathematical puzzle game apparatus featuring a planar game board with a storage grid and a puzzle play grid, utilizing forty colored-numbered game tile pieces that must be arranged to meet specific mathematical criteria, such as differences between adjacent tiles being greater than one and no repetition in rows, columns, or diagonals.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If traditional crossword or Sudoku puzzles are used, then the game is easy to understand and play, but the player engagement and problem-solving challenge are insufficient
Solution Approach 1:
The patent changes the mathematical parameters from simple non-repetition rules to difference-based constraints (adjacent tiles must have differences greater than predetermined increments). This transforms the puzzle from a straightforward placement game to a mathematically challenging problem while maintaining the grid-based familiar interface.
Solution Approach 2:
The puzzle grid is segmented into different regions with varying difficulty levels or constraint types. The game board is divided into multiple sections where different mathematical rules apply, allowing players to progress from easier to harder challenges within the same game framework.
2Difficulty of detecting and measuring
If the puzzle rules require strict mathematical constraints (difference > 1, no repetition in rows/columns/diagonals), then the problem-solving depth increases, but the game complexity and difficulty to master increases
Solution Approach 1:
The patent applies partial mathematical constraints rather than requiring all possible constraints to be satisfied simultaneously. Players need to satisfy difference constraints for adjacent tiles and non-repetition for rows, columns, and diagonals, but not all combinations are required, making the problem more tractable while still mathematically rich.
Solution Approach 2:
The patent introduces colored-numbered tiles as intermediaries that carry both numerical values and color identifiers. These dual-attribute tiles serve as mediators between the mathematical constraints and the visual puzzle interface, helping players track and verify constraints more easily.
3Adaptability or versatility
If forty colored-numbered tiles are used with multiple constraints, then the number of possible solutions increases to thousands, but the time required to solve the puzzle increases
Solution Approach 1:
The patent provides players with pre-organized sets of colored-numbered tiles before the puzzle begins. The tiles are prepared in advance with specific color-number combinations, allowing players to quickly identify and place appropriate tiles without needing to create them during gameplay, thus reducing solving time.
Solution Approach 2:
The patent replaces traditional manual tracking methods with visual color-coding systems. Instead of writing down or mentally tracking which numbers have been used, players can visually identify available tiles through their color markings, significantly accelerating the puzzle-solving process.
Data Source
AI summary
A method of playing a game includes placing a plurality of numbered tiles on a storage grid structure with each of the numbered tiles being marked with a predetermined number from a predetermined set of numbers and each of the tiles being placed on a storage space. One numbered tile is moved to a useable play space. The moving step is repeated until: (a) each of the tiles is on one of the useable play spaces; (b) the difference between the numerical value of each of the numbered tiles on each of useable spaces and a number tile on an adjacent useable space along one of the horizontal, vertical, and diagonal rows is greater than a predetermined increment; and (c) each of the predetermined numbers on the numbered tiles appears no more than once in each of the horizontal, vertical and diagonal rows.