A sphere has the shape of highest symmetry, specifying a center without giving any direction or an orientation. It is the optimization of a maximum volume versus a minimum surface, and provides the archetype for an infinit number of objects within in our world.
Vesicles are the smalles structural objects of an emulsion, and almost visible to the human eye in dense fog. Air bubbles in water or rain drops have the shape of a sphere. Soap bubbles take the form of a sphere, at least for the part that is not attached to a surface or other bubbles. The elementary shape of planets and stars is making use of the sphere.
As a geometrical object it is linked to first essential, but also very special numbers.
| 1 | One essential measure is defining its size. One point defines the exact position. |
| 2 | The delimitation splits space into an inside and outise. Inside is the unity, from an outer view it is single and unique. The diameter has twice the length of the radius. |
| 3 | A circle is precisely defined by three points in a layer. |
| Pi | It specifies the relation between the essential size and surface, establishing a first link to prime numbers (product equation of Leonhard Euler). |
| 4 | The surface of a sphere is four times the surface of a circle with the same diameter. A sphere is precisely defined by four points in space. |
| Infinity | An infinit number of symmetry axis are going through the center. |