[Boards: 3 / a / aco / adv / an / asp / b / biz / c / cgl / ck / cm / co / d / diy / e / fa / fit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mu / n / news / o / out / p / po / pol / qa / qst / r / r9k / s / s4s / sci / soc / sp / t / tg / toy / trash / trv / tv / u / v / vg / vp / vr / w / wg / wsg / wsr / x / y ] [Search | Home]
Let's defy Euclid
If images are not shown try to refresh the page. If you like this website, please disable any AdBlock software!

You are currently reading a thread in /sci/ - Science & Math

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
>>
>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.
>>
>>
>>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).
>>
>>7780428
>We
We? You? Who?
>>
>>
>>
*burp*
>>
File: elliptic.jpg (371 KB, 1280x1053) Image search: [iqdb] [SauceNao] [Google]
371 KB, 1280x1053
>>
>>
>>
File: Togliatti_surface.png (163 KB, 800x800) Image search: [iqdb] [SauceNao] [Google]
163 KB, 800x800
>>
>>7780428
>curved lines
wat
>>
>>7780619
What is this? I've seen this pic before with no explanation, only a statement that it's someone's amateur work.
>>
>>7780428
>>TFW Squares and Circles are related but Triangles are not

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.
>>
$R\left( {X,Y} \right)Z = {\nabla _X}{\nabla _Y}Z - {\nabla _Y}{\nabla _X}Z - {\nabla _{\left[ {X,Y} \right]}}Z$
>>
>>7780937
All lines are straight in their respective geometry. When that geometry is projected lines can get curved.
>>
>>7781090
>All lines are straight in their respective geometry.
Shouldn't this be more like: "all geodesics have zero acceleration in their respective metrics?"
>>
>>7781090
>>7781437
And "projected" should be "immersed" or "embedded"?

[Boards: 3 / a / aco / adv / an / asp / b / biz / c / cgl / ck / cm / co / d / diy / e / fa / fit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mu / n / news / o / out / p / po / pol / qa / qst / r / r9k / s / s4s / sci / soc / sp / t / tg / toy / trash / trv / tv / u / v / vg / vp / vr / w / wg / wsg / wsr / x / y] [Search | Home]

[Boards: 3 / a / aco / adv / an / asp / b / biz / c / cgl / ck / cm / co / d / diy / e / fa / fit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mu / n / news / o / out / p / po / pol / qa / qst / r / r9k / s / s4s / sci / soc / sp / t / tg / toy / trash / trv / tv / u / v / vg / vp / vr / w / wg / wsg / wsr / x / y] [Search | Home]