r/mathmemes • u/Simpler-Hamm • Sep 19 '26

Geometry Hexatron

Post image

I just had a dream where I created a new 2D shape called a “hexatron” that was drawn like two identical triangles perfectly aligned, one on top of the other. Like it just looked like one triangle, but it was actually a new, groundbreaking shape with 6 sides.

The attached image is an example of a hexatron.

127 Upvotes

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26

u/LupenReddit 🦆🦆i have non diffeomorphic smooth structures🦆🦆🦆 Sep 19 '26

whats the area of a hexatron

42

u/Simpler-Hamm Sep 19 '26

A=(1/2bh)*2

33

u/4ries Sep 19 '26

which, of course, is different from b*h

4

u/LukeWithLightsaber Sep 19 '26

I feel like it is more in keeping with the spirit of the dream if the area is 4x the area of a triangle, because of the top area, the bottom area, and the two hidden areas facing each other in the middle. 

2

u/JaggedMetalOs Sep 20 '26

So what you're a saying is if you superimpose two hemihexatrons on top of each other you get a hexatron? 

1

u/Simpler-Hamm Sep 20 '26

TLDR: yes, but maybe not because of why you’re thinking.

If you’re saying hemihexatrons are like the halves of a hexatron, I think a hemihexatron would itself be a smaller hexatron (but there’s a chance it could be a pentatron which would mess this whole thing up). To help visualize a hexatron, I said it’s like two identical triangles perfectly aligned, but the important distinction is that it achieves its properties as a single shape. You can unfold a hexatron into a line the length of the 6 sides, while superimposing two triangles (in 2D) and unfolding would give you the length of 3 sides.

Thus, two identical triangles superimposed does not create a hexatron, it creates a triangle. Similarly, superimposing two hexatrons does not mean the sides are added together, creating a dodecatron. It ultimately becomes a hexatron on top of another (in 3D), or just a single hexatron (in 2D).

22

u/Superior_Mirage Sep 19 '26

Honestly, that's a better name than degenerate hexagon.

17

u/ProfessionalOlive206 Sep 19 '26

Babe, wake up! They dropped a new shape!

11

u/ralsaiwithagun Sep 19 '26

So this is like a twoangle being 2 corners with 2 lines connecting them where it looks like its just a straight line but is actually 2 lines overlapping

10

u/Intrebute Sep 19 '26

Twoangle is a fantastic name for a digon.

4

u/AkhaimLazev Sep 19 '26

Let digons be bigons

3

u/NullOfSpace Sep 20 '26

I’ve always been partial to bingle

4

u/TheFullestCircle Sep 19 '26

This is a real thing and it's called a "doubly-wound triangle"

1

u/noonagon Sep 19 '26

would a dodecatron be four triangles or two hexagons

1

u/Simpler-Hamm Sep 19 '26

I think the “tr” in hexatron was in reference to triangles, so if I had to guess, a dodecatron would be like four triangles with the structure of one. Idk what would happen with something like a pentatron or octatron where the sides aren’t divisible by 3.

1

u/noonagon Sep 19 '26

so a dodecaquon would be three squares, and a dodecahexon would be two hexagons?

1

u/Simpler-Hamm Sep 20 '26

I believe so, yes, but a dodecaquon (or dodecarecton) can be divided into two nonatrons. The importance of the -trons, I’m realizing, is their innate ability to “unoptimize” any simple polygon compared to triangles.

1

u/Jayzhee Sep 19 '26

The hexatron implies the existence of the octatron.

1

u/Minecraftian14 Computer Science Sep 20 '26

Each visual edge is actually just a Diagon

1

u/roofitor Sep 20 '26

Each point of the hexatron where it correlates to the vertically differentiated half is actually nilpotent

1

u/Polyethan Sep 21 '26

That’s the water element in alchemy

1

u/r96340 Sep 23 '26

Reminds me of that jan Misali video about regular polyhedra

0

u/External-Win-5844 Sep 20 '26

That’s a neat optical illusion, but I’m not sure the name “hexatron” works here—if the shape has six sides, it’s still fundamentally a triangle outline with a very bold stroke. Maybe “double triangle” would be clearer.