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Let's defy Euclid
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You are currently reading a thread in /sci/ - Science & Math

Thread replies: 20
Thread images: 8
ITT We try and piss off Euclid as hard as possible. First, using curved lines, we are going to create a shape that follows the rules and parameters of a square, but is not a square.
>TFW Squares and Circles are related but Triangles are not
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>using curved lines
Pretty sure Euclid would be OK with that.

Also it would help if you stated what properties and parameters a square has, is there anything apart from four equal 90 degree angles, all equal sides, consisting of only straight lines?
>>
You can't defy Euclid.

And if you can, I'd like to see it.
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google non-euclidian geometry
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>>7780446
I think we're assuming that OP is working on a plane. We all know about non-euclidean geometry, but he isn't "defying Euclid" by using different axiom(s).
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>>7780428
>We
We? You? Who?
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>>
>>
*burp*
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File: elliptic.jpg (371 KB, 1280x1053) Image search: [iqdb] [SauceNao] [Google]
elliptic.jpg
371 KB, 1280x1053
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File: Togliatti_surface.png (163 KB, 800x800) Image search: [iqdb] [SauceNao] [Google]
Togliatti_surface.png
163 KB, 800x800
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>>7780428
>curved lines
wat
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>>7780619
What is this? I've seen this pic before with no explanation, only a statement that it's someone's amateur work.
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>>7780428
>>TFW Squares and Circles are related but Triangles are not

Quadrilateral <-> Triangle
Square <-> Equilateral Triangle

In the future, when something looks like it doesn't make sense, just assume that it's because you're a fucking moron.
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[math] R\left( {X,Y} \right)Z = {\nabla _X}{\nabla _Y}Z - {\nabla _Y}{\nabla _X}Z - {\nabla _{\left[ {X,Y} \right]}}Z [/math]
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>>7780937
All lines are straight in their respective geometry. When that geometry is projected lines can get curved.
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>>7781090
>All lines are straight in their respective geometry.
Shouldn't this be more like: "all geodesics have zero acceleration in their respective metrics?"
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>>7781090
>>7781437
And "projected" should be "immersed" or "embedded"?
Thread replies: 20
Thread images: 8
Thread DB ID: 418559



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