Life in hyperbolic space

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lllllllllwith10ls
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Life in hyperbolic space

Postby lllllllllwith10ls » Sat May 18, 2019 6:12 pm UTC

What would life be like in hyperbolic space? Would civilization be different?
mom fapathi

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gmalivuk
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Re: Life in hyperbolic space

Postby gmalivuk » Sat May 18, 2019 6:35 pm UTC

We might live in hyperbolic space ourselves, so no, nothing would necessarily be much different.
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lllllllllwith10ls
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Re: Life in hyperbolic space

Postby lllllllllwith10ls » Sat May 18, 2019 8:58 pm UTC

I mean, highly hyperbolic worlds
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jewish_scientist
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Re: Life in hyperbolic space

Postby jewish_scientist » Sun May 19, 2019 10:12 pm UTC

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PsiCubed2
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Re: Life in hyperbolic space

Postby PsiCubed2 » Mon May 20, 2019 10:06 am UTC

Those Numberphile videos were really cool.

Thanks!

ijuin
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Re: Life in hyperbolic space

Postby ijuin » Sat May 25, 2019 12:44 am UTC

Hyperbolic space is the absolute bestest space ever, over 300% more awesome to live in than plain old regular space!

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PM 2Ring
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Re: Life in hyperbolic space

Postby PM 2Ring » Mon May 27, 2019 8:59 am UTC

You'd have a lot more options for floor tiling patterns. See
Uniform tilings in hyperbolic plane and the links there. Eg,
Spoiler:
Image

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Eebster the Great
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Re: Life in hyperbolic space

Postby Eebster the Great » Mon May 27, 2019 11:13 am UTC

Escher has at least four famous woodcuts depicting artistic tilings of the hyperbolic plane, as projected onto a Euclidean circle. They are titled "Circle Limit I" through "Circle Limit IV". #3 is not mathematically correct, but they are all very interesting.

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PM 2Ring
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Re: Life in hyperbolic space

Postby PM 2Ring » Mon May 27, 2019 4:42 pm UTC

Indeed! My introduction to hyperbolic space was via Escher; I had a book of Escher prints in my teens, which I sadly lost some time in my late 20s.

I've written a couple of clunky programs to do simple hyperbolic geometric constructions on the Poincaré disc. But to do "Circle Limit" style pictures it's a lot easier to "cheat" by distorting a flat space tessellation, using stereographic projection, like I did here: viewtopic.php?f=17&t=24365&start=40#p2142306

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SuicideJunkie
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Re: Life in hyperbolic space

Postby SuicideJunkie » Tue Jun 04, 2019 5:44 pm UTC

Have you seen this?
viewtopic.php?f=21&t=120703

It sounds like you can experience it yourself in some manner.


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