The most common type of protein secondary structure after the alpha helix and beta strand is the beta turn, in which the backbone (BB) chain abruptly changes direction over four amino acid residues. Existing tools for the study of beta turns characterize their structures exclusively in the Ramachandran space of BB dihedral angles, which presents challenges for the visualization, comparison and analysis of the wide variety of turn geometries. A recent study has introduced a turn-local Euclidean-space coordinate system and a global alignment for turns, along with a set of geometric parameters for their bulk BB shape which describe modes of structural variation not explicitly captured by Ramachandran-space systems. These features, and others, are incorporated here into ExploreTurns, a tool specialized for the exploration, analysis, geometric tuning and retrieval of beta turns and their local contexts which combines the advantages of Ramachandran- and Euclidean-space representations. ExploreTurns is a database selection screen, structure profiler and 3D viewer, integrated onto a single web page, that renders a redundancy-screened, PDB-derived beta-turn dataset structurally addressable by a wide range of criteria describing the turns and their BB neighborhoods. The tool is applied here to a proposed generalization of the beta-bulge loop, a mapping of helix-capping sequence preferences, a conformational profile of the Schellman loop, and an analysis of the depth dependence of turn geometry, and it should prove generally useful in research, education, and applications such as protein design, in which an enhanced Euclidean-space description of turns and structural tuning may improve performance.