Angstrom-level imaging and 2D surfaces allow real-time tracking and steering of DNA

Pictures of DNA often look very tidy—the strands of the double helix neatly wind around each other, making it seem like studying genetics should be relatively straightforward. In truth, these strands ...
Wired

Physicists Conjure Curves From Flat Surfaces Using Japanese Folding Art

Try gift-wrapping a soccer ball, and you will quickly encounter the geometric abyss between paper’s inherent flatness and a sphere’s natural curves. “The very first bit seems to sort of match, but as ...
JSTOR Daily

On constant angle surfaces constructed by polynomial space curves with Frenet-like curve frame

In this study, the constant angle ruled surfaces constructed by polynomial space curves using the Frenet-like curve (Flc) frame in Euclidean 3-space are examined. We find the conditions for the ruled ...
JSTOR Daily

Deforming Curves on Convex Surfaces to Simple Closed Geodesics

This paper explores the behavior of closed curves on strictly convex surfaces which evolve according to the equation $X_t=\frac{k}{K}N$ where X is the position vector ...
Nature

Lectures on the Differential Geometry of Curves and Surfaces

DIFFERENTIAL geometry is a technical and rather forbidding term, but the subject is of the highest interest, and not to mathematicians alone. It includes the whole theory of mapdrawing; it is required ...