What Does Geodesic Mean?

In geometry, a geodesic is commonly a curve representing in some sense the shortest path between two points in a surface, or more generally in a Riemannian manifold. The term also has meaning in any differentiable manifold with a connection.

What does the word geodesic mean in English?

A curve that locally minimizes the distance between two points on any mathematically defined space, such as a curved manifold. ... Equivalently, it is a path of minimal curvature. In noncurved three-dimensional space, the geodesic is a straight line.

What is the meaning of geodesic dome?

Geodesic dome, spherical form in which lightweight triangular or polygonal facets consisting of either skeletal struts or flat planes, largely in tension, replace the arch principle and distribute stresses within the structure itself.