Six cube faces, each an N×N grid, pushed out onto the sphere. Every tile has exactly four neighbours — the curvature defect sits on the eight cube corners, which are degree-3 vertices (outlined in gold). Movement follows the visible tile edges: numpad 8/4/6/2. The flat map is the draggable Google-Maps-style view from the article: inside a cube face the grid is exactly regular, and every bit of the distortion is pushed out to the seams and the cube corners.