The small b-barrel (SBB) is an ancient protein structural domain characterized by extremes: it features a broad range of structural varieties, a deeply intricate evolutionary history, and it is associated with a bewildering array of cellular pathways. Here, we present a thorough, survey-based analysis of the structural properties of SBBs. We first consider the defining properties of the SBB, including various systems of nomenclature used to describe it, and we introduce the unifying concept of an ''urfold.'' To begin elucidating how vast functional diversity can be achieved by a relatively simple domain, we explore the anatomy of the SBB and its representative structural variants. Many SBB proteins assemble into cyclic oligomers as the biologically functional units; these oligomers often bind RNA, and typically exhibit great quaternary structural plasticity (homomeric and heteromeric rings, variable subunit stoichiometries, etc.). We conclude with three themes that emerge from the rich structure 4 function versatility of the SBB.Strand b1 is red, b2 is orange, b3 is yellow, and b4 is green; for the SH3 and OB folds, the fifth strand is also shown (gray). Branches along a sample path in this digraph are highlighted in tan (subtree at right), yielding the 1 Zhang and Kim, 2000); these two sheets, near the center of the image, are drawn simply to illustrate tree traversal. The base of the overall tree (at center) is a decision between the two possible configurations (parallel, antiparallel) for the simplest possible sheet-i.e., a tandem pair of strands (⇨∿∿⇨). Traversing the tree from this split ''root'' to the leaves corresponds to building-up the sheet, and the tree's branching structure elucidates the n!• •2 nÀ2 unique topologies that are possible for a sheet of n strands; the successive branches of this unrooted k-ary tree are of degrees 2, 6, 2, 2, 2. The positions of the SH3 and OB folds are indicated by cyan and purple paths (subtree at left). Other features of b-sheets are also elucidated by this hierarchical representation, such as the fact that there are 24 unique arrangements of two sequentially adjacent b-hairpin motifs (red circles, left subtree). If the origin for strand numbering is taken as arbitrary (e.g., labeling a sequence 2/3/4 does not differ from 1/2/3), then the OB topology (pink path, left) can be seen to cluster closely with the SH3; the yellow region delimits a putative SBB ''urfold'' basin in fold-space, subsuming the SH3 and OB folds.