A fun experience that challenges players to think dynamically and adaptively, reflecting the balance between order and disorder
Dynamic Sudoku
To create a Sudoku game inspired by the principles of dynamic symmetry, we have incorporated the fluid interplay between order and disorder, as well as the concept of scale invariance and adaptability. Here’s a plan for the game:
Game Concept
Dynamic Symmetry Sudoku is a variation of the traditional Sudoku game, incorporating elements that allow for a balance between stability (order) and instability (disorder). The game also features levels of complexity that scale as the player progresses, reflecting the idea that symmetry can shift based on perspective and scale.
Basic Rules
1. Grid Structure: The game uses a standard 9x9 grid divided into nine 3x3 sub-grids.
2. Initial Setup: Some cells are pre-filled with numbers, providing a starting point of order.
3. Objective: Fill the empty cells so that each row, each column, and each 3x3 sub-grid contain all the numbers from 1 to 9 without repeating.
Dynamic Symmetry Elements
1. Variable Symmetry: Instead of a fixed initial setup, the pre-filled numbers vary slightly each time the game is played, introducing a controlled element of disorder.
2. Adaptive Difficulty: As the player progresses through levels, the complexity of the puzzles will increase. Early levels will have more pre-filled numbers (higher order), while later levels will have fewer pre-filled numbers (higher disorder).
3. Scale Invariance: Patterns that help solve the puzzle at one level will be applicable at higher levels, though the complexity will increase. For example, recognising certain number patterns in the 3x3 sub-grids can help solve both simple and complex puzzles.
4. Emergent Patterns: Occasionally, special patterns or clues will emerge as the player fills in the grid, reflecting the idea that order can emerge from apparent randomness.
Example Puzzle
Here’s an example of how a Dynamic Symmetry Sudoku puzzle might look at different levels:
Level 1 (High Order) - above
Level 5 (Moderate Order) - below left
Level 10 (High Disorder) - below right
Level 5 (Moderate Order)
Level 10 (High Disorder)
© 2024 OXQ: The Oxford Quarterly Journal of Symmetry & Asymmetry All Rights Reserved
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