Visual hemineglect, the failure to explore the half of space, real or imagined, contralateral to a cerebral lesion with respect to body or head, can be seen as an illustration of the brain's Euclidean representation of the left/right axis. Here we present two patients with left-sided neglect, in whom only the left hemispace in front of an imagined and/or real body position was inaccessible, but the space behind them remained fully represented. These observations suggest that of the three Euclidean dimensions (up/down, left/right, and front/back), at least the latter two are modularly and separately represented in the human brain.