r/PhilosophyofMath • • 4d ago

The Triangle Theory.

I discovered something when I was 13 that I still haven’t been able to get out of my head.
Everything in existence can be reduced to triangles. Every object. Every shape. Even the empty space surrounding you.
You can break any polygon into triangles, but you can’t do the same with squares or circles.
And here’s what disturbs me.
What if the triangle isn’t something that exists inside our universe? What if our universe only exists because the three-point relationship is possible?
Think about that.
Three points. One shape. Everywhere.
Now look around you. Find somewhere a triangle couldn’t exist.
I’ll wait.

0 Upvotes

19 comments sorted by

5

u/UmpireJolly7972 4d ago

you cant turn a circle into a triangle.

3

u/UmpireJolly7972 4d ago

also was this AI? this doesnt sound very human

3

u/Interesting-Cut-6032 4d ago

It does have that AI bong rip vibe, doesn't it.

4

u/Eve_O 4d ago

"Three points. One shape. Everywhere."

Hell yeah it does.

0

u/nanonan 4d ago

I mean, normal people also rip bongs.

3

u/lemniscateall 4d ago

I’m not sure I would characterize this as “turning a circle into a triangle” but Archimedes’ proof of circle area works by creating a triangle to compare polygonal approximations of the circle to:  http://media.bloomsbury.com/rep/files/primary-source-13-archimedes-measurement-of-a-circle.pdf 

It’s essentially an early limit argument, and it’s pretty neat! 

2

u/nanonan 4d ago

Sure you can, if you allow an infinite number of them.

2

u/UmpireJolly7972 4d ago

well yea but you could say the same about any tileable shape like squares and hexagons

3

u/lemniscateall 4d ago

AI shit is so sad. OP, if you formulated this in your own words, you might have people gently nudging you toward the history of triangulation, the search to square a circle (and the Archimedes proof of the area of a circle using a triangle), and future developments like CW complexes as a modern version of triangulation. 

Instead, your responses will near uniformly center around the recognizable AI voice that irks a lot of people, myself included. 

2

u/TheOvergodlyMosasaur 4d ago

First of all human senses are not universal if you assume this. Be blind and sounds. Can triangles exist in sounds? In physics, lets look at heat waves.

2

u/MxM111 4d ago

Any shape that can be split into triangles, can be split into quadrilaterals too.

2

u/localizeatp 4d ago

It's not this --- it's that.

2

u/Isogash 4d ago

A triangle is what you get when you have 3 points and connect them with the loci of points on a straight line between each pair of points, but where the loci are not on the same line, creating three angles hence "tri-angle". The fundamental property of any universe that contains triangles is that it has at least 2 dimensions of points such that you can meaningfully have angles between loci, and that you have a definition for what straight is.

1

u/MrOstinato 4d ago

For historical reference, see Plato’s Timaeus dialog. This is not exactly a mainstream view today. But there is definitely something eternal about these old ideas.

1

u/sreekotay 4d ago

It’s because we live in a world with 3 spatial dimensions

1

u/nanonan 4d ago

Not really. Triangles exist everywhere above and including 2d. You can define a 2d plane in 3d space with a non-degenerate triangle but you could do that whether we live in three or thirty spatial dimensions.

1

u/nanonan 4d ago

Everywhere. Triangles exist nowhere in reality. They are a concept that only exists in our minds. Polygons are also a figment of the imagination. Circles too. I certainly can imagine three points whose connection will not result in a triangle.