A 1.10-A atomic resolution X-ray structure of human fibroblast growth factor 1 (FGF-1), a member of the beta-trefoil superfold, has been determined. The beta-trefoil is one of 10 fundamental protein superfolds and is the only superfold to exhibit 3-fold structural symmetry (comprising 3 "trefoil" units). The quality of the diffraction data permits unambiguous assignment of Asn, Gln, and His rot...

We prove that any non-hyperbolic genus one knot except the trefoil does not have a minimal canonical Seifert surface and that there are only polynomially many in the crossing number positive knots of given genus or given unknotting number.

A D(3)-symmetric knotted cyclophane, with a subgraph of trefoil topology, was synthesized by cyclization of a D(3)-symmetric scaffold. Control of configuration at the three metal-based stereocenters arises from a bascule/pivot mechanism.

This article presents a comparative study of Kiepert’s trefoil and its related curves, combining variety tools from differential algebraic geometry, integrable systems, elastica theory, special functions. While this curve was classically known well studied in the literature, some open problems were recently solved, goal paper is to present characterize general solution equation that governs tre...

The physical sense of tight knots provided by the SONO algorithm is discussed. A method allowing one to predict their length is presented. An upper bound for the minimum length of a smooth trefoil knot is determined.