|
The Sphere Is Important
1. The points on the sphere are all the same distance from a fixed point. Also, the ratio of the distance of its points from two fixed points is constant.
2. The contours and plane sections of the sphere are circles.
3. The sphere has constant width and constant girth.
4. All points of a sphere are umbilics.
5. The sphere does not have a surface of centers.
6. All geodesics of the sphere are closed curves.
7. Of all the solids having a given volume, the sphere is the one with the smallest surface area; of all solids having a given surface area, the sphere is the one having the greatest volume.
8. The sphere has the smallest total mean curvature among all convex solids with a given surface area.
9. The sphere has constant positive mean curvature.
10. The sphere has constant positive Gaussian curvature.
11. The sphere is transformed into itself by a three-parameter family of rigid motions.
Shotdate | -location:
2008
Aug.
| Thanham (DE)
Camera
| Filmtype:
Holga & Polaroidback
| 88
(expired)
Related tags:
|
