If you are a Fitter & Turner or Boilermaker and you are required to make a Sphere out of flat sheets of metal and you have no method of forming compound curves then the only method I know of is to construct it out of flat panels in the shape of Pentagons and Hexagons. This will give you a very close approximation to a sphere (asymptotically speaking)
Can anyone help explain this:From NASA's APOD... http://antwrp.gsfc.nasa.gov/apod/ap070403.html .......Why would clouds form a hexagon on Saturn? Nobody is yet sure. Originally discovered during the Voyager flybys of Saturn in the 1980s, nobody has ever seen anything like it anywhere else in the Solar System. If Saturn's South Pole wasn't strange enough with its rotating vortex, Saturn's North Pole might now be considered even stranger. The bizarre cloud pattern is shown above in a recent infrared image taken by the Saturn-orbiting Cassini spacecraft. The images show the stability of the hexagon even 20 years after Voyager. Movies of Saturn's North Pole show the cloud structure maintaining its hexagonal structure while rotating. Unlike individual clouds appearing like a hexagon on Earth, the Saturn cloud pattern appears to have six well defined sides of nearly equal length. Four Earths could fit inside the hexagon. Although full explanations are not yet available, planetary scientists are sure to continue to study this most unusual cloud formation for quite some time.
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