by pietbeentjes » Sun Jan 22, 2012 8:34 pm
I've made in my garden several 'squares' of round, circular tiles, starting with one in the middle, next making a round of 6 tiles fitted around that middle one, then a round of 12 tiles fitting around the former 6, then 18, 24 etc. My largest square has, in that way, 127, round tiles. In the end it comes out that every round fits within a hexagonal.
I think this could be a fair explanation for Saturn's hexagonal where a lot of clouds ("tiles") seem to be of the same dimension. The rotation of Saturn fixes them nicely in the hexagonal pattern.
I am a pensioned mathematician, so I leave the the proof of this to my younger collegues in physics, mathematics and weather dynamics.
I've made in my garden several 'squares' of round, circular tiles, starting with one in the middle, next making a round of 6 tiles fitted around that middle one, then a round of 12 tiles fitting around the former 6, then 18, 24 etc. My largest square has, in that way, 127, round tiles. In the end it comes out that every round fits within a hexagonal.
I think this could be a fair explanation for Saturn's hexagonal where a lot of clouds ("tiles") seem to be of the same dimension. The rotation of Saturn fixes them nicely in the hexagonal pattern.
I am a pensioned mathematician, so I leave the the proof of this to my younger collegues in physics, mathematics and weather dynamics.