What are the most beautiful fields of geometry?

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JSNS
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14 Nov 2011, 1:50 pm

Besides fractals? And why?



ruveyn
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14 Nov 2011, 2:25 pm

JSNS wrote:
Besides fractals? And why?


That is a very subjective question. And there are so many geometric fields and subjects of interest, particularly if you include topology and manifolds.

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pete1061
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16 Nov 2011, 1:07 am

Beauty is in the eye of the beholder.

Personally, I find a simple beauty in the platonic solids.



barnabear
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26 Nov 2011, 5:12 pm

JSNS wrote:
Besides fractals? And why?


You might want to have a look at the work of William Latham. He is a sculptor who used computer modelling and an evolutionary selection approach to develop weird computer images and animations, some in 3-D. You could call this evolutionary computational geometry.

He worked with Professor Stephen Todd in the mid 1980's at the IBM Scientific Centre at Winchester.

William is now a Professor at Goldsmith's College in London.



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26 Nov 2011, 7:44 pm

i always liked topology. a lot of higher math is so abstract it's just playing with symbols, but in topology there are ideas that seem to me to be at the very limit of the thinkable & there's a pleasure in that.


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