1. Relating to the geometry of curved surfaces: On their tour of the city, Mrs. Green and her husband admired the geodesic glass dome which was inside a large art museum.
2. The shortest line between two points on a mathematically defined surface (as a straight line on a plane or an arc of a great circle on a sphere): Mr. Smart gave the students in his math class the assignment to find the geodesic path on the defined example surface in their textbook.
3. Etymology: "surveying", from Modern Latin geodaesia, from Greek geodaisia, "division of the earth" (from ge, "earth" + daiein, "divide").

A spherical or partial-spherical shell structure or lattice shell based on a network of great circles (geodesics) positioned on the surface of a sphere: A geodesic dome is a strong prefabricated enclosure constructed of lightweight bars forming a grid of polygons, with no internal supports.

A geodesic dome is energy efficient because it requires less building material and has less surface area, because heat loss due to wind turbulence is decreased, and because its shape minimizes air leakage.

The line of shortest distance between any two points on a mathematically defined surface: Specifically, a geodesic line is a line on the surface of the Earth, a line of double curvature which usually lies between the two normal section lines determined by the two points.

Also known as the "geodesic dome", a dome or structure: A geodesic sphere roughly approximates a hemisphere constructed of many light, straight structural elements in tension, arranged in a framework of triangles to reduce stress and weight.