Sorting objects and events into categories and concepts is an important cognitive prerequisite that spares an individual the learning of every object or situation encountered in its daily life. Accordingly, specific items are classified in general groups that allow fast responses to novel situations. The present study assessed whether bamboo sharks Chiloscyllium griseum and Malawi cichlids Pseudotropheus zebra can distinguish sets of stimuli (each stimulus consisting of two abstract, geometric objects) that meet two conceptual preconditions, i.e., (1) "sameness" versus "difference" and (2) a certain spatial arrangement of both objects. In two alternative forced choice experiments, individuals were first trained to choose two different, vertically arranged objects from two different but horizontally arranged ones. Pair discriminations were followed by extensive transfer test experiments. Transfer tests using stimuli consisting of (a) black and gray circles and (b) squares with novel geometric patterns provided conflicting information with respect to the learnt rule "choose two different, vertically arranged objects", thereby investigating (1) the individuals' ability to transfer previously gained knowledge to novel stimuli and (2) the abstract relational concept(s) or rule(s) applied to categorize these novel objects. Present results suggest that the level of processing and usage of both abstract concepts differed considerably between bamboo sharks and Malawi cichlids. Bamboo sharks seemed to combine both concepts-although not with equal but hierarchical prominence-pointing to advanced cognitive capabilities. Conversely, Malawi cichlids had difficulties in discriminating between symbols and failed to apply the acquired training knowledge on new sets of geometric and, in particular, gray-level transfer stimuli.Key words: visual concept learning, spatial arrangement, relational abstract concept, Malawi cichlid, bamboo shark Concepts and categories benefit an individual's cognitive economy by obviating the learning of every particular object or situation encountered in its daily life (e.g., Lamberts and Shanks 1997;Mareschal et al. 2010). Instead, any new object or action is immediately placed in a group of similar, already classified items, which allows for prompt identification and therefore quick response to novel situations. Concept learning (also known as category learning or concept attainment) requires the learner to compare and contrast groups or categories that comprise possibly concept-relevant features with groups or categories that do not comprise these features (Bruner et al. 1967). While items within a group or category can vary to some extent, they all must share at least some item-specific (e.g., physical or perceptually similar) features and the development of prototypes, schemas, attributions, or exemplars predictive of the appropriate category (Zentall et al. 2002). Abstract concepts, in contrast, are not based on item-specific features but on relationships and are therefore not associated...