A user is developing a software function to explore a 3D grid, aiming to visit each cell exactly once. Their current implementation fails to cover all cells in a 16x16x16 grid, visiting only 3436 out of 4095. They seek references or solutions to improve their approach and request clarification on the use of the boolean function isAllowed(), as well as insights into object principal. The user also asks for their code to be formatted for better readability and for added comments to facilitate understanding. They emphasize the need for a solution that generates an always expanding tree without any returns, expressing frustration over gaps in their current method. The discussion touches on whether a tree structure is essential or if a polygonal path could suffice, with a specific focus on achieving complete space coverage.