The techniques developed in this paper can be further applied to investigate the undecidability of tiling problems with even smaller fixed parameters by adapting the construction of Wang bars and their relationships. One approach could involve reducing the number of Wang bars in the initial set while maintaining the complexity of the encoding and linking mechanisms. By carefully adjusting the construction of the Wang bars and their interactions, researchers can explore the undecidability of tiling problems with reduced fixed parameters. This iterative process of refinement and analysis can help uncover the threshold at which tiling problems become decidable or undecidable for smaller fixed parameters.