The word 'hyperboligami' popped into my head this morning and now I need to make it happen
@christianp "To get started, go to your local arts and crafts store and pick out a few brightly-colored sheets of Poincaré half-plane."
@christianp there's a hyperbolic quilt pattern, based on the hyperbolic soccerball tiling. You can glue or tape paper together to visualize spaces of negative curvature, though knitting or crocheting works much better. I designed a construction set toy originally to illustrate spaces of negative curvature.
There's the origami constructions in Euclidean geometry (folding constructions similar to but more powerful than ruler+compass); can you do something similar in hyperbolic geometry? (Just checked, people do know about hyperbolic ruler+compass...)
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