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2
votes
how to construct a spherical dodecahedron?
Not an answer to the question as stated but relevant:
I don't seem to have a reference, but the quickest description of possible constructions on, say, the unit sphere, is by the angles made by inter …
4
votes
Is there a ruler and compass construction of the common perpendicular of two geodesics in H^3?
I remembered that the isometries for the upper half space model of $\mathbf H^3$ are given by the action of $PSL_2\mathbf C$ on the points at infinity (the $xy$-plane as the complex numbers). So, give …
5
votes
Bolyai's construction
EDIT: I have changed my mind. I think your best bet is the paperback Dover reprint by Bonola. He gives Bolyai's construction, which was slightly different from most modern treatments. Then he justifie …
14
votes
Accepted
Is there a compass and straightedge construction of parallel lines in hyperbolic geometry?
The quickest way to get you started is to refer you to my article, reference [5] (a pdf) on
http://en.wikipedia.org/wiki/Squaring_the_circle
and then to the fourth edition (2008) of Marvin Jay Gree …