19Bacteria assemble the cell envelope using localized enzymes to account for growth and 20 division of a topologically complicated surface 1-3 . However, a regulatory pathway has not been 21 identified for assembly and maintenance of the surface layer (S-layer), a 2D crystalline protein 22 coat surrounding the curved 3D surface of a variety of bacteria 4,5 . By specifically labeling, 23 performed time-resolved, super-resolution fluorescence imaging and single-molecule tracking 47 (SMT) of S-layer assembly on living C. crescentus cells. In C. crescentus, the S-layer is made of 48 a single 98 kDa SLP, RsaA, which accounts for around 30% of the cell's total protein synthesis 7 . 49RsaA, like other SLPs, self-assembles into crystalline sheets upon the addition of divalent 50 calcium (Ca 2+ ) in vitro [8][9][10][11][12] . Given the many fitness-related functions ascribed to crystalline 51 bacterial S-layers, we hypothesized that SLP self-assembly may play a role in generating the S-52 layer coat in vivo 4,6 . 53RsaA covers the cellular surface of C. crescentus by forming a 22 nm-repeat hexameric 54 crystal lattice and is non-covalently anchored to an ~18 nm thick LPS outer membrane 13-17 55 (Figure 1a,b). The surface topology of stalked and predivisional C. crescentus includes a 56 cylindrical stalk measuring roughly 100 nm in diameter while the crescentoid cell body 57 approaches 800 nm in width 18,19 (Figure 1d). This large variety of curved topologies guarantees 58 that crystal distortion and defects within the S-layer lattice structure are present, defects which 59 enable complete coverage of the bacterial surface 4,13,20,21 . We can use Gaussian curvature, the 60 product of the maximum and minimum curvatures at a given point, to quantify the cellular 61 topology 22 . Crystalline defects cluster at regions with high absolute values of Gaussian curvature 62 such as the cell poles and division plane, while grain boundaries occur where Gaussian curvature 63 approaches zero such as the cell body (Figure 1d) 20,21 . 64Specifically labeling the S-layer in vivo has proven difficult due to the SLP's life cycle 65 and functions, which include secretion, refolding, anchoring, and crystallization 11,16,17,23,24 . 66