In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Flow-diverting stents are crucial for aneurysm treatment, with their structural design significantly impacting post-implantation hemodynamics. While clinically effective, opportunities remain to ...

The DRIVER module is one of two drivers (also see documentation on STEPPER) to perform a geometry optimization function on the molecule defined by input using the GEOMETRY directive. Geometry ...

A dipole moment of positive and negative wedge disclinations—the “the other side of the coin” of a single edge dislocation indicated by the replacement of affine connections. The inverted “T” marks ...

In October 2015, a young mathematician named Clemens Sämann was flying home to Austria from a conference in Turin, Italy, when he had a chance encounter. He found himself seated beside Michael ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

Department of Chemistry, Lancaster University, Lancaster LA1 4YW, U.K. School of Chemistry, University of East Anglia, Norwich NR4 7TJ, U.K.

Introduction: While Total Disc Replacements (TDRs) are generally performing well clinically, reoperation rates indicate that the full potential of the TDR concept might not have been reached. Inspired ...