As time wore along, his absorption in the irregular wall and ceiling of his room increased; for he began to read into the odd angles a mathematical significance which seemed to offer vague clues regarding their purpose. Old Keziah, he reflected, might have had excellent reasons for living in a room with peculiar angles; for was it not through certain angles that she claimed to have gone outside the boundaries of the world of space we know? His interest gradually veered away from the unplumbed voids beyond the slanting surfaces, since it now appeared that the purpose of those surfaces concerned the side he was on.