- #1
Islam Hassan
- 235
- 5
Given that the Classification Theorem says that every finite simple group is isomorphic to one of 4 broad categories of (specific) finite simple groups, does this mean that any conceivable symmetric:
i) 2D form; or
ii) 3D object
is also isomorphic to one of these 4 categories. Otherwise said, is physical symmetry limited in the universe (not to mention n-dimensional spaces)?
If so, i find this extremely surprising given that:
i) Numbering is an infinite proposition; and
ii) The fact that one can conceive of a infinity of forms and objects in the physical world.
Such limited nature of symmetry is to my mind the single most counter-intuitive and amazing result in all of mathematics. I truly find it incredible!IH
i) 2D form; or
ii) 3D object
is also isomorphic to one of these 4 categories. Otherwise said, is physical symmetry limited in the universe (not to mention n-dimensional spaces)?
If so, i find this extremely surprising given that:
i) Numbering is an infinite proposition; and
ii) The fact that one can conceive of a infinity of forms and objects in the physical world.
Such limited nature of symmetry is to my mind the single most counter-intuitive and amazing result in all of mathematics. I truly find it incredible!IH