Alien Geometries: Difference between revisions
Rescuing 1 sources and tagging 0 as dead.) #IABot (v2.0.8.6
Looney Toons (talk | contribs) ("fanfiction"->"fan works") |
(Rescuing 1 sources and tagging 0 as dead.) #IABot (v2.0.8.6) |
||
Line 315:
== Real Life ==
* [https://web.archive.org/web/20120225002759/http://physicsworld.com/cws/article/print/23009 Studies] of the cosmic microwave background radiation suggest that it better fits a Poincaré dodecahedron than a sphere.
:To make the Poincaré dodecahedron more clear: you are floating inside a giant dodecahedron. When you get to an outer face you [[Wrap Around]] to the opposite face. Except the faces don't exactly line up, so you also rotate one tenth of a rotation.
:More aptly, it is to be observed that Euclidean geometry, mathematically speaking, is a ''special case'': it only applies to forms in a space with zero curvature (for the two-dimensional case, a perfectly flat plane); something that is, strictly speaking, an abstract concept (in light of the fact that time and space are demonstrably ''curved'' by gravity.) Consider that you cannot, in Euclidean geometry, draw a triangle with three right angles, ''but it is perfectly possible on the surface of a sphere.''
| |||