Geodesic is the shortest (or longest) path between two points in three-dimensional space.
Unlike plane geometry (two-dimensional spaces), where the shortest distance is drawn by a straight line, in curved geometry the shortest path between two points is described as a semicircle.
The Earth moves following a geodesic motion that, in curved space, as described in the Theory of General Relativity of Einstein, consists of an apparent straight trajectory, but which actually curves according to the “folds” of the Space time.
For example, when drawing a supposed straight line over the planet's equator, it will take the form of a large circle. This curved line (but which follows a "straight line" on the surface) is called the Earth's geodesic.
Learn more about the meaning of Theory of relativity.
geodetic dome
Also known as geodesic dome, this architectural work was initially conceived by Richard Buckminster Fuller, an American designer and architect.
The basis for the construction of a geodesic dome is the face of an icosahedron subdivided into several parts. The greater the number of pieces broken into symmetrical triangles, the rounder and more compact the dome.
Geodetic domes are known to be highly resistant and light structures, ensuring easy transport.
Geodesic and Geodesy
As seen, geodesic consists of the distance or path formed between two points in a three-dimensional space or, according to the precepts of the Theory of General Relativity, in four-dimensional planes.
On the other hand, geodesy is a science that studies the dimensions, shape and gravitational field of planet Earth.
Geodesy forms a set of fields of study (Geodesic Sciences) that encompass disciplines such as: cartography, topography, photogrammetry, remote sensing, among others.
Learn more about the meaning of Geodesy.