Sentences with phrase «curves on the sphere»

Not exact matches

At each point on the grid the space appears flat and finite, but it's actually curved, a sphere.

Generalizing the standard model of flocking motion to the curved surface of a sphere rather than the usual linear plane or flat three - dimensional space, Bowick's team found that instead of spreading out uniformly over the whole sphere, arrowlike agents spontaneously order into circular bands centered on the equator.

These curves are hyperbolic analogs of the familiar great circle (e.g., equator) on a sphere, the key difference being that closed geodesics on a Riemann surface can come in many different lengths.