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FuglyDuck ,
@FuglyDuck@lemmy.world avatar

There’s an entire field of science projecting shapes from the surface of a sphere onto a planar surface going back centuries.

Suffice it to say, I don’t know you’d have to talk to a map-nerd.

Treczoks ,

The wonders of non-Euclidian geometry. Yes, this is a triangle, but as it exists in a non-Euclidian space, some rules you learned about in school which mostly teach Euclidian geometry, don’t apply.

zkfcfbzr ,

Would the southern shape here also qualify as a triangle?

What if you went the short way instead of the long way, creating the spherical triangle people usually use - then is the “outside” portion of the triangle itself another triangle?

november OP ,

I didn’t even think of that. Another good question!

Leate_Wonceslace ,
@Leate_Wonceslace@lemmy.dbzer0.com avatar

Yes, that would be a different triangle. If you have 3 points on a sphere, there are multiple triangles that contain them as vertices.

SomeAmateur ,

Doritos are triangles so sure

november OP ,

I’m not asking about a Dorito shape.

SomeAmateur ,

I’m sorry for your loss

robocall ,
@robocall@lemmy.world avatar

I see a Klansman

tonyn ,

The term you are looking for to describe such a shape is technically “spherical polygon”. Triangles are impossible in speherical geometry since the sum of the angles would always be greater than 180°.

sudoreboot ,
@sudoreboot@slrpnk.net avatar

There is no rule that the angles of a triangle add to 180 degrees. It only holds true in Euclidean geometry, which this is not.

RightHandOfIkaros ,

Yes, it has three corners and three edges. It is a triangle.

towerful ,

What if it had 3 corners and 4 edges? Or 4 corners and 3 edges?

november OP ,

I don’t think that can be a thing.

towerful ,

Yeh, seems not

RightHandOfIkaros ,

If a shape has 3 corners and 4 edges, it is incomplete or open and therefore not a shape yet but a collection of edges (or possibly, two triangles that share an edge).

A shape with 4 corners and 3 edges is not possible. An edge cannot have a corner in the middle of it, that would make it two edges.

towerful ,

I felt like adding something about the specific case of 180° between edges and a vertice.
Makes sense.
And I guess too many vertices means an open set of edges (ie not close, this not a shape).
I was kinda hoping for a strange edge case, like a mobius strip or Klein bottle.

I guess a mobius strip is a 2d representation of a 1d paradigm. And a klein bottle is a 3d representation of a 2d paradigm.
It would be too much to ask of a 1d representation of a ??d paradigm.

ByteJunk ,
@ByteJunk@lemmy.world avatar

Why the down votes? Bro asking a question and being legit curious, don’t be hating on someone that’s looking to challenge what they know just because it’s trivial to you.

RightHandOfIkaros ,

Welcome to Lemmy, first time?

towerful ,

I feel my comment adds to the discussion and wants more details.
But it was too simply phrased.
I guess the details of such a question should be obvious. And if you need the details, the question doesn’t actually add the the discussion… It just seems idiotic!

I felt like there might be a really cool scenario where a vertice isn’t considered a vertice.
Like, there actually might be some case on a 2d plane “where actually” applies.
I’m fine being wrong

morphballganon ,

It doesn’t matter that the edges are curved?

november OP ,

They’re not curved; the space they’re embedded in is curved.

Donkter ,

The edges curve in 3d space, but not relative to the sphere.

bionicjoey ,

If you were to walk this route along the surface of the earth, you would walk in perfectly straight lines apart from the three turns.

corvett ,

It’s got three angles, so I’d say so

ShepherdPie ,

Oh so that’s why they call it that.

towerful ,

Just wait until you learn about the etymology of triceratops

konalt ,
@konalt@lemmy.world avatar

It’s got three ceratops of course

fubo ,

Three knights can ride it; tri-sir-atop.

xmunk ,

But there’s only one Michael Cera, how can this animal be topped with three of them!

AA5B ,

https://lemmy.world/pictrs/image/1de008cb-aa13-419e-a6df-2011f99f53e1.jpeg

https://lemmy.world/pictrs/image/aabcd469-6c62-4f05-9e73-e623e70ae993.jpeg

https://lemmy.world/pictrs/image/ad0a8ccb-24e5-4eaf-af7e-b718ea77de86.jpeg

MustardCabbage ,

Yes, but to be more specific, it is a spherical triangle.

Bassman1805 ,

Spherical isosceles triangle, in this particular example.

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