View source for Dodecahedral space

The first example of a [[Poincaré space]]. Constructed by H. Poincaré in 1904. It is obtained by identifying the opposite faces of a dodecahedron after they have been rotated by an angle $\pi\over 5$ relative to each other. The dodecahedral space is a manifold of genus 2 with a [[Seifert fibration]] and is the only known Poincaré space with finite fundamental group. A dodecahedral space is the orbit space of the free action of the [[binary icosahedral group]] on the three-dimensional sphere.

====References====
<table><TR><TD valign="top">[1]</TD> <TD valign="top">  H. Seifert,   W. Threlfall,   "Lehrbuch der Topologie" , Chelsea, reprint  (1980)</TD></TR></table>

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====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  José Maria Montesinos, "Classical tessellations and three-manifolds" Springer (1987)  ISBN 3-540-15291-1 {{ZBL|0626.57002}}</TD></TR></table>