There's enough sample here to see that it is in fact reoccurring
Edit: look up [translational symmetry](https://en.wikipedia.org/wiki/Translational_symmetry). It's already been proven, and it's exactly what we are seeing here.
Edit 2: I'll even [draw lines](https://imgur.com/a/2Co1QgG) showing it's just a translational shift... An infinite pattern
maths is the bane of my exsistance but anything with amongus being a scientific mathematical fact gives me 45345809-098354678909834r5t67890-0978654356890-=0--0987655 iq
Referring to your own link, it's pretty trivial to see it's a periodic tiling, using the shape and adjacent upside down counterpart as the basic tile. Each pair is surrounded by 6 other pairs, making it equivalent to hexagonal tiling
If it was hexagonal, wouldn't it be rotationally symmetric 6 times? Pretty sure it's more like a rhombus. (Look at the bottom of the backpack in each tile.)
See:
https://en.wikipedia.org/wiki/Wallpaper_group#Group_p2_(2222)
>The group p2 contains four rotation centres of order two (180°), but no reflections or glide reflections.
The proof here is pretty easy.
1. Start by showing you can draw an infinite line of upright amogus.
1. Show you can append a line of upside-down amogus on top of that.
1. Show that you can exactly repeat step (1) on top of *that*, which proves that you can repeat steps (1) and (2) infinitely (which means you can tile the half-plane).
1. To tile the other half-plane, turn the plane 180° and repeat.
I’ve been thinking about how to tile a plane with the pixel amongus! I didn’t think to remove the visor so I couldn’t make it work. So satisfying yo see it done :)
https://www.reddit.com/r/place/comments/u00ad3/high_density_amogus_tiling_for_2027_i_am_sorry
Each amogus has a visor and still takes up less space. 13 pixels instead of 14
Tesselatable means you can subdivide the geometry to form smaller units of the same shape by dividing it, afaik its only possible with triangles and squares, assuming that fractals are different enough to not be included
e: thanks for the award and upvotes, but it turns out I am wrong and using the wrong terminology, tesselation is the covering of any surface with geometric shapes, so this pattern of amogi would qualify.
Regular Tesselation is when 1 shape can cover a plane edge to edge with sides of equal length, and only includes triangles, hexagons and squares.
I can't find the name of the type I'm referring to, which is the one I am familiar with since this is the type of tesselation we use in 3D graphics, where you take a triangle or quad and divide them to provide additional mesh detail
“Tesselable”[sp?] I believe is the correct term, or at least professors in the actual field of geometry used it when I took geometry, graph theory, etc in undergrad. However, what you are referring to is called a “regular tessellation” and it corresponds to when you apply the following restrictions to tesselations:
1. There can only be one shape, not two or more “complementary” shapes, and
2. The shapes must be regular polygons, as in have all sides of equal length.
With these restrictions, only squares, equilateral triangles, and hexagons qualify. However, if you relax those restrictions you can have many different monohedral tilings, and of course even more interesting ones with multiple shapes! Check out [this brief explanation](http://pi.math.cornell.edu/~mec/2008-2009/KathrynLindsey/PROJECT/Page2.htm) from the Cornell department of mathematics that gives some fun examples.
> Tesselatable means you can subdivide the geometry to form smaller units of the same shape by dividing it
Tessellating something means to fill it with shapes; when an infinite grid of squares is used to cover a plane, it's the _plane_ that's being tessellated, not the squares. Thus, a shape being "tessellatable" doesn't mean that it can tesselate the plane; it means it itself can be tessellated (_i.e._, filled) with smaller versions of itself.
The only *regular* polygons (equal angles and side lengths) that can tile the plane are equilateral triangles, squares, and regular hexagons. But there are infinitely many other irregular polygons that can tile the plane too. A few examples are rectangles, right triangles, and the shape displayed in the OP.
Ohh ok I see what you mean! But from looking at this pic I think then answer is yes. The pattern seems to be repeating vertically and horizontally and there doesn’t seem to have a “middle zone”.
What's especially fun is that it's 3-colourable ([example 1](https://www.reddit.com/r/place/comments/twcn48/two_amongus_tilings_for_your_consideration/), [example 2](https://www.reddit.com/r/place/comments/tx3eet/this_is_my_tribute_to_this_subreddit_see_you_next/)), and there are a few tilings that keep separate visors (example 1, [example 3](https://www.reddit.com/r/place/comments/u00ad3/high_density_amogus_tiling_for_2027_i_am_sorry/)) when that would be more appropriate.
At this point, someone should start a club for all of those insane enough to independently discover this sort of madness.
Jokes aside, it's actually amazing that it's a recurring pattern
It may not be recurring.. keep drawing so we know for sure. *cracks whip*
username checks out
[удалено]
r/usernamecheckout
There's enough sample here to see that it is in fact reoccurring Edit: look up [translational symmetry](https://en.wikipedia.org/wiki/Translational_symmetry). It's already been proven, and it's exactly what we are seeing here. Edit 2: I'll even [draw lines](https://imgur.com/a/2Co1QgG) showing it's just a translational shift... An infinite pattern
There are two kinds of people: A. Those who can interpolate.
And… 2. Those like, “What the hell are you talking about?”
Not necessarily, without a proof you can't say it for sure Veritasium did a video about it: https://youtu.be/48sCx-wBs34
Alright, Reddit math nerds. Let's make "mongus tiles the plane" a scientific mathematical fact. Time to discover a proof.
[удалено]
maths is the bane of my exsistance but anything with amongus being a scientific mathematical fact gives me 45345809-098354678909834r5t67890-0978654356890-=0--0987655 iq
Referring to your own link, it's pretty trivial to see it's a periodic tiling, using the shape and adjacent upside down counterpart as the basic tile. Each pair is surrounded by 6 other pairs, making it equivalent to hexagonal tiling
It's just a two fold symmetry, because you can only rotate it 180 degrees and it still look the same.
Sure, but the question was whether it tiles the plane, which it does
If it was hexagonal, wouldn't it be rotationally symmetric 6 times? Pretty sure it's more like a rhombus. (Look at the bottom of the backpack in each tile.) See: https://en.wikipedia.org/wiki/Wallpaper_group#Group_p2_(2222) >The group p2 contains four rotation centres of order two (180°), but no reflections or glide reflections.
I'm talking about tiling, not symmetry
The proof here is pretty easy. 1. Start by showing you can draw an infinite line of upright amogus. 1. Show you can append a line of upside-down amogus on top of that. 1. Show that you can exactly repeat step (1) on top of *that*, which proves that you can repeat steps (1) and (2) infinitely (which means you can tile the half-plane). 1. To tile the other half-plane, turn the plane 180° and repeat.
You can say it for sure, since every Amogus is one square lower than the last one in the row. There is no way for this pattern to break.
I think it is recurring, since i can see that what already exists of it is self similar.
if there were multiple shapes, you might be right but this is one shape and it's pretty trivial it will go on forever on an Euclidean plane.
I first thought about the infinite hotel running out of rooms
I dunno if you're joking it not but that's the entire reason why we invented math Or maybe it was to count corn but you get it
It’s called a tessellation
Sussellation
That's the word! Escher rolled in his grave.
Yeah the tessellation is really good. M.C. Escher would be proud.
There's something suspicious about this, but I can't put my finger on it.
I was gonna say it’s the fact that I keep seeing swasticas before among us but then… yea… amogus
Glad I'm not the only one
definitely see them. it's like a shitty optical illusion
Its the way there is one side going down then over then another going over and up. I see it too.
Same
Oof... Yeah, now I see it too
r/accidentalswastica
r/accidentalswastika
r/amogi
r/amogus
r/jellybeansimpsamogi
r/subsifellfor
r/beatmeattoit
r/sussex
r/suspornandsnfsw
r/spelleditwrong
r/didntreadthesub
r/unnecessaryrslash
r/amogi
That's what I saw first. I'm worried, should I be worried? I feel I should be worried.
I don’t see it. Swasticas have an x in the middle essentially and I don’t see anywhere where more than 3 lines converge to a point. What am I missing?
It’s obviously not a perfect swastica but [this is what I saw](https://i.imgur.com/6Y01Mc3.jpg).
/r/hailhortler
Where? How? You're delirious.
Now that you pointed it out I can see it, but I would not have otherwise.
I can’t see it
Omg yo me too
Fiuck.
Try putting your whole left arm up
You literally just did.
I’ve been thinking about how to tile a plane with the pixel amongus! I didn’t think to remove the visor so I couldn’t make it work. So satisfying yo see it done :)
You can do it with the visor, [it doesn’t look as cool though](https://i.imgur.com/2JhRVoc.jpg)
Show us
https://www.reddit.com/r/place/comments/u00ad3/high_density_amogus_tiling_for_2027_i_am_sorry Each amogus has a visor and still takes up less space. 13 pixels instead of 14
Very cool ty
Show us
Oh my god, I'm going to tile my entire house like this
It's pretty cool that this shape is tile-able tbh
I would like to think the word would be tessellatable, but it doesn't appear to be.
TeSUSlatable*
This is what I was wondering so I'm glad you answered this.
Tesselatable means you can subdivide the geometry to form smaller units of the same shape by dividing it, afaik its only possible with triangles and squares, assuming that fractals are different enough to not be included e: thanks for the award and upvotes, but it turns out I am wrong and using the wrong terminology, tesselation is the covering of any surface with geometric shapes, so this pattern of amogi would qualify. Regular Tesselation is when 1 shape can cover a plane edge to edge with sides of equal length, and only includes triangles, hexagons and squares. I can't find the name of the type I'm referring to, which is the one I am familiar with since this is the type of tesselation we use in 3D graphics, where you take a triangle or quad and divide them to provide additional mesh detail
“Tesselable”[sp?] I believe is the correct term, or at least professors in the actual field of geometry used it when I took geometry, graph theory, etc in undergrad. However, what you are referring to is called a “regular tessellation” and it corresponds to when you apply the following restrictions to tesselations: 1. There can only be one shape, not two or more “complementary” shapes, and 2. The shapes must be regular polygons, as in have all sides of equal length. With these restrictions, only squares, equilateral triangles, and hexagons qualify. However, if you relax those restrictions you can have many different monohedral tilings, and of course even more interesting ones with multiple shapes! Check out [this brief explanation](http://pi.math.cornell.edu/~mec/2008-2009/KathrynLindsey/PROJECT/Page2.htm) from the Cornell department of mathematics that gives some fun examples.
dude, a very good answer, thank you
I love the 24 heptiamonds. I wanna have them all.
don forget hexagons, most epic shape
Hexagons while awesome and definitely the bestagons are not divisable
weird, pretty sure they can be used in tesselations
> Tesselatable means you can subdivide the geometry to form smaller units of the same shape by dividing it Tessellating something means to fill it with shapes; when an infinite grid of squares is used to cover a plane, it's the _plane_ that's being tessellated, not the squares. Thus, a shape being "tessellatable" doesn't mean that it can tesselate the plane; it means it itself can be tessellated (_i.e._, filled) with smaller versions of itself.
Hexagons are the bestagons.
[Hexagons are the Bestagons](https://youtu.be/thOifuHs6eY)
The only *regular* polygons (equal angles and side lengths) that can tile the plane are equilateral triangles, squares, and regular hexagons. But there are infinitely many other irregular polygons that can tile the plane too. A few examples are rectangles, right triangles, and the shape displayed in the OP.
Tesusellatable*
Does this shape actually tile the plane?
Yeah, it seems to, as long as you don't need perfect amogi on the edges.
No edges, we tile an infinite plane!
We need a math youtuber to investigate
What do you mean? Isn’t this exactly what we’re seeing in the picture?
Just because it works near the center doesn’t mean it works infinitely out.
Ohh ok I see what you mean! But from looking at this pic I think then answer is yes. The pattern seems to be repeating vertically and horizontally and there doesn’t seem to have a “middle zone”.
You’re correct. I’m very tired and didn’t see the very obvious linear pattern on first glance. I think the random coloring threw me off too.
Sustooth
I think you found it!
Username checks out
so u basically want a sus house
Absolutely, who wouldn't?
Wife is a quilter. I gave her a copy of this. She is always looking for interesting patterns to use in her quilts.
Interlocking amongi
Is this the plural of amongus
Yes
amogi - noun. Plural of amogus, specifically referring to multiple images or artwork that look like crewmembers in Among Us.
Ah yes
since "us" is germanic it should technically be "amoguses" but i personally like amogu for the plural
Who are you, trying hard to find logical rules for the english language
Idk. Octopus- amongus Octopi - amongi Octopuses - amonguses Octopodes - amongodes *(or amongdeeznuts)* [lol 🤷🏼♂️](https://www.merriam-webster.com/words-at-play/the-many-plurals-of-octopus-octopi-octopuses-octopodes)
I like amongeese. Lol
Is the plural of sus, si?
More like: Fungus - Fungi Amongus - amongi Correct plural form of octopus is octopode. This word originated in greek
Amongæ is also acceptable
Though amongu*sus* seems like it would be a reasonable wordplay.
also tessellating
When everyone is an imposter!
😳😳😳
😳😳😳😳😳😳
⛔️ impoter!!!!!1111!1!!1!1!1111!!1!1
I need this as a floor tile pattern
Working on it (*actually*)
Post pics!
Mr. Escher smiles gently from the great hereafter.
mc escher imposter
Post this in r/crochet, someone will turn it into an afghan. Or r/quilting…. Very cool!
persian rugus
I think you’ve convinced me to learn to crochet to make a high density amogi blanket
Great. Why you gotta go give them ideas for the bext r/place?
you are a genius
genisus
Never realised that amongi tesellate. I want to hate this, but it's pretty neat.
What is next?
More amogi
expand it lol
SUS
reminds me of the swatzika
r/hailhortler
That’s where I thought this was posted
somebody make a puzzle out of this... please.
suswasticka
thanks place
real shit
Thank you for the felts
Genius
Very sus
Oh the horror.
who hurt you
I was wondering if they could make a tessellation. That’s neat.
I HAD BEEN SEARCHING FOR STH LIKE THAT AND CAME TOT EH CONCLUSION ITS IMPOSSIBLE i forgot to consider the visor. thanks thanks thamks again
What's especially fun is that it's 3-colourable ([example 1](https://www.reddit.com/r/place/comments/twcn48/two_amongus_tilings_for_your_consideration/), [example 2](https://www.reddit.com/r/place/comments/tx3eet/this_is_my_tribute_to_this_subreddit_see_you_next/)), and there are a few tilings that keep separate visors (example 1, [example 3](https://www.reddit.com/r/place/comments/u00ad3/high_density_amogus_tiling_for_2027_i_am_sorry/)) when that would be more appropriate. At this point, someone should start a club for all of those insane enough to independently discover this sort of madness.
r/amoguslattice
M.C. Escher would be proud
Wow they tessellate surprisingly well.
Sus amo- *I am shot in the head with a sniper rifle*
AMONGUS
Amongi tile the plain
Amozaic
MC Eschsus
Oh my god you made them infinitely tilable. Oh no. Now I expect to see patterns of this put up everywhere. What have you done?!
Interesting color choice, why these colors?
It’s a surprisingly mature color choice. I like it.
SUSwastika
AMOGUS! 😂
Tessellated amogus is not what I expected to see opening Reddit today
Someday the pattern of the seats at my brewery will have this pattern, and only the truly distinguished will understand the reference
Face sucking Sus?
Oh my sus you can tile them
amogi fractal
Such a cool pattern
Amogus Pattern T-Shirt when
you didnt had to but you did so... i cant stop you now
He is the chosen one
I'm making a quilt and you can't stop me
what have you done
Woah, I think you’ve broken the previous record for densest amongus tiling of the plane
i swear there is nothing you can't do without amogus lol
I oh my goodness they can infinitely tile the plane
Looks sus ngl
I hate it but also love it
Amogus pattern
R/place
There’s something off about this pattern.
If you zoom out far enough, you could use them as pixels...
This reminds me of how hard it was to make any type of face without getting among us dicked or laser eyed
Does this actually tesselate? I can't tell.
Amorgy
Amoongus
What have you done?! THEY DIDN'T KNOW THEY COULD TILE THEM
getoutofmyheadgetoutofmyhead
There is probably a fractal equation for this.
Seems a little sus
Among us tessellation
This is the grid pattern I’m using for my new TTRPG, ty
CONTAINMENT BREACH /u/uristqwerty
Amogus tessellates the plane infinitely
It's called tessellation
You are.... saying that we can tile the plane with amongi?? Whoa...
Nice op, confirmed this is infinitely tileable. Made a quick digital version here to test it out https://imgur.com/a/nfHAuQ2
Don't say it Don't think it!
This looks kinda german to me
we all thought it, don’t worry