This is pretty much self explanatory. Currently tokens snap one of their corners to the corner of a square grid cell. If the center of the token snapped to the center of the cell, it would make many non-square and/or rotated tokens placed onto a square automatically look correct. This seems to be the behavior on the hexagonal grid already and works great. This could be a per-page option to alter the behavior of square snapping, or it could be a mode that the pointer tool is in (similar to the ruler's snap modes). Or it could just be a fix to the default behavior. The current behavior is strictly worse since fixing it doesn't change the behavior of perfectly square tokens. Workaround that are painful: Disable the grid which also disables snapping. This doesn't really solve the issue with tokens being placed wrong unless the user painstakingly adjusts every token every time they move one. Also hides the grid which can be useful visual aid on grid-based maps. Hold Alt to place tokens irrespective of grid snapping, every time. This is even less ergonomic and tends to fail because random clicks will cause token to snap anyway (to the wrong place).