… the geodesic distance is greater and a projection to a planar surface tends to stretch surfaces in order to obtain a Cartesian grid, a geodesic line transformed into a planar projected coordinate system (such as the radar projection defined by DWD) is longer than a straight line drawn on a planar surface.

A simple measure of the distance between two vertices in a graph is the shortest path between the vertices. Formally, the geodesic distance between two vertices is the length in terms of the number of edges of the shortest path between the vertices.

In the mathematical field of graph theory, the distance between two vertices in a graph is the number of edges in a shortest path (also called a graph geodesic) connecting them. This is also known as the geodesic distance. Notice that there may be more than one shortest path between two vertices.

The short answer is no. In practice, for a generic metric space one must make specific requiriments (like: goedesics exist, geodesics are unique and so on…) You can build many counterexamples to the local uniqueness of geodesic by simple means. Example 1) the L1 metric.

Geodesics on the sphere are circles on the sphere whose centers coincide with the center of the sphere, and are called great circles.

Geodesic domes are sphere-like structures consisting of a network of triangles which provide a self-balancing structural framework that uses minimal materials. The word geodesic is Latin and means ‘earth dividing’.

The triangular elements of the dome are structurally rigid and distribute the structural stress throughout the structure, making geodesic domes able to withstand very heavy loads for their size.

The hexagon is not the strongest shape, the triangle is. If you have a triangle(3 straws you can not change its shape without breaking or bending a straw. If you have more sides, a little pressure will change the shape although the straws do not bend. The hexagon is made of triangles.

triangular support structure for a bridge, then the arc can bear a greater load than a single triangle. Triangles can be used to make a structure as strong as an arc, however on a one-to-one comparison, a single arced structure will be able to support more load than a simple triangular structure.

The weight placed on a beam bridge is pressed directly downward, toward any underneath support, which makes the middle portion of the bridge the weakest.

The natural curve of the arch and its ability to dissipate the force outward greatly reduces the effects of tension on the underside of the arch. It is the arch itself that gives its namesake bridge its strength. In fact, an arch made of stone doesn’t even need mortar.

Use your left foot for balance as you lower your right foot down so your heel hangs lower than the step. Slowly lift your right heel as high as you can, focusing on strengthening your arch. Rotate your arch inward as your knee and calf rotate slightly to the side, causing your arch to become higher.

The absence of an arch in your foot is known as flatfoot. This condition can happen to both children and adults. It can be corrected with shoe inserts, physical therapy and sometimes surgery.

One of the foot problems people develop is “fallen arches” or “flat feet,” a decrease in the longitudinal arch that absorbs landing forces. You can rebuild the arches through the use of the following and other active isolated, constant-resistance exercises.

However, often times a collapsed arch ultimately must be repaired surgically to provide lasting relief. A reconstructive surgery for flatfoot seeks to restore proper biomechanical support structures through rebuilding the arch.

Severe. If medical evidence shows a clear deformity of the veteran’s foot; there is pain upon use or manipulation; swelling occurs on use; and characteristic callosities exist, a veteran can receive the next highest rating for pens planus. Veterans with severe bilateral flat feet can receive a disability rating of 30%.

Flat feet in children will often resolve without intervention, while “fallen arches” in adults tend to be permanent and non-reversible.

The condition can be caused by an injury, loosening of the tendons that hold the joints together, or an arch that never developed. As long as any of us can remember, would-be enlistees for military service were automatically disqualified if they had flat feet.