This study investigated how attention is allocated by the physical distinction between tactile 2D shape features: Part 1 tested whether certain shape feature distinctions are perceived efficiently (pre-attentively), as opposed to inefficiently (attention dependent). Part 2 explored what discrimination strategies are at use, and with what level of attention (from pre to focused). It was found (Part 1) that the straight line. angle distinction and the curve <-> straight line distinction are perceived pre-attentively; the angle <-> curve distinction attention dependent. Furthermore (Part 2), three discrimination strategies were identified: The figure identity strategy has three levels of attention; it ranks a feature conjunction as the most important targetdiscriminating feature. The global characteristics strategy and the touch vision strategy have two levels of attention; both rank one separate feature as the most important target-discriminating feature. Despite this, they are equally fast, accurate, and after-decision certain.