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HPau
 HPau
(@hpau)
Illustrious Member
Joined: 6 years ago
Posts: 2534
08/07/2013 12:20 pm  

Just had to share this,


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SDR
 SDR
(@sdr)
Illustrious Member
Joined: 15 years ago
Posts: 6462
10/07/2013 3:53 am  

I'm sure
that Bucky Fuller would have found it, but -- is there any geometry in which identical 'petals' can be joined to form a sphere ? I stress "identical" . . .


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fastfwd
(@fastfwd)
Illustrious Member
Joined: 15 years ago
Posts: 1721
10/07/2013 12:32 pm  

Well...
For starters, there are the five Platonic solids (tetrahedron, cube, octahedron, icosahedron, dodecahedron). Those are the only ones that use regular (i.e., equilateral) polygons.
If you don't mind using other types of polygons, like isosceles triangles or kite-shaped quadrilaterals, there are lots more. Search the web for something like:
tile sphere congruent
to see.


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