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## Main Question or Discussion Point

hi there

What is a Poincare' disc and why is the edges of disc represent infinity?

thanks

What is a Poincare' disc and why is the edges of disc represent infinity?

thanks

- Thread starter htetaung
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- #1

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hi there

What is a Poincare' disc and why is the edges of disc represent infinity?

thanks

What is a Poincare' disc and why is the edges of disc represent infinity?

thanks

- #2

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- #3

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But I don't know about topology. So is there anyway to understand its infinitely long geodesics?

Why are those things infinitely long?

- #4

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- #5

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The geodesics are just straight lines in this axiomatic version and like any line in a plane geometry they are infinitely long.

- #6

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Thank you.

I think I got it.

I think I got it.

- #7

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I think it would be enjoyable for you to compute the geodesics on the Poincare disc starting with the metric. It is not hard.Thank you.

I think I got it.

- #8

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Here is the most famous artist's rendering of the Poincare disk...

http://www.hnorthrop.com/escher.html [Broken]

http://www.hnorthrop.com/escher.html [Broken]

Last edited by a moderator:

- #9

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very coolHere is the most famous artist's rendering of the Poincare disk...

http://www.hnorthrop.com/escher.html [Broken]

Last edited by a moderator:

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