Let's defy Euclid

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Anonymous

Let's defy Euclid 2016-01-13 10:30:40 Post No. 7780428

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Let's defy Euclid 2016-01-13 10:30:40 Post No. 7780428

[Report] Image search: [iqdb] [SauceNao] [Google]

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?

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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: 300px-Growth_measure_and_vortices.jpg (17 KB, 300x217)
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17 KB, 300x217

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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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