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Bathroom
A cone.
This will work with any rectangle, but not with some other weird shape: -- Stretch a string on the diagonal, i.e. from one corner to the opposite corner. Tape it down. -- Stretch another string on the other diagonal, i.e. between the two remaining corners. The point where the second string crosses the first string is the center of the floor.
I think I understand the question. If an incense stick is smouldering in one corner of a room, how does the scent arrives at a corner diagonally opposite? It is all do to warm air rising. As the warm scented air rises from the stick, it can't rise further than the ceiling. So the scented air is convected in a curl through the room, with the scent dropping down as the air is cooled.
You only said no one. There could be any number of objects in there with you. Therefore, the question is impossible to answer accurately.