Conceptualizing the Expansion
I'm focused on grasping the essence of the transition. Scaling up the core Rubik's Cube functionalities to the 6x6x6 level presents an intriguing challenge. The existing framework is the key starting point, and I'm actively mapping out the necessary adjustments for the expanded model, particularly how the layers' interactions change.
Refining the Framework
I'm now zeroing in on the 6x6x6 cube's coordinate system. The transition from integer-based coordinates in the 3x3x3 to the fractional values needed here is the core adjustment. I'm focusing on the necessary changes in the grid and selection algorithms, especially handling the floating-point offsets. This is pivotal for accurate layer selection and rotation.
Revising Coordinate Calculations
I'm now fully immersed in the mathematics of positioning. The core concept of utilizing indices from 0 to 5 for determining cube positions is solid. However, I'm now fine-tuning the transformation to real-world coordinates. The positioning formula needs rigorous validation. Specifically, I am cross-checking its effectiveness in establishing the positions, and verifying how they integrate into the existing selection system.
Outlining Rotation Implementation
I'm now formulating the rotation mechanics. The transition to floating-point positions necessitates a refined approach. I'm focusing on deriving the best approach to map logical layer indices (0-5) to world coordinates. The plan is to convert the logical indices to world coordinates to find the cubes, addressing snapping and alignment to the new grid structure for the 6x6x6 cube.
Defining the Implementation Plan
I'm presently outlining the crucial steps for the code. This includes adapting the grid, selecting layers via their index, and adapting the rotation and shuffle functions. I'm especially focusing on how to convert the index into proper world coordinates and the correct "snapping" logic.
Defining Snapping Function
I'm now determining the correct method for aligning the cubes after rotation. My previous attempts with standard rounding failed. The solution is: snap(val) = Math.round( val / TOTAL_SIZE + 0.5) - 0.5. This formula now assures accurate alignment, especially at half-unit intervals, essential for the 6x6x6's proper grid._
Coding the Implementation
I'm now writing and integrating the code changes. I'm actively updating the coordinate systems and color mappings. The core implementation steps involve establishing the new grid, adapting selection criteria, and refactoring rotation routines, ensuring that the cube can be correctly rendered and rotated. The snapping formula is implemented and tested to make certain that the cubes align correctly after rotation.
