# File:Cosmic Topology fig5b.jpg

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The Poincaré Dodecahedral Space The PDS can be described as the interior of a spherical ball whose surface is tiled by 12 curved regular pentagons. When one leaves through a pentagonal face, one returns to the ball through the opposite face after having turned by 36 ¡. As a consequence, the space is finite but without boundaries, therefore one can travel through it indefinitely. One has thus the impression of living in a UC space 120 times larger, paved with dodecahedra that multiply the images like a hall of mirrors. The return of light rays that cross the walls produces optical mirages: a single object has several images. This numerical simulation calculates the closest phantom images of the Earth which would be seen in the UC space.

(Image courtesy of J Weeks)


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Date/Time Thumbnail Dimensions User Comment current 10:10, 18 December 2014 1,156 × 1,156 (1.12 MB) Olivier Minazzoli (Talk | contribs) The Poincaré Dodecahedral Space The PDS can be described as the interior of a spherical ball whose surface is tiled by 12 curved regular pentagons. When one leaves through a pentagonal face, one returns to the ball through the opposite face after havi...

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