Square!

When you miss one important constraint in your CAD project.
- Oh man I felt this.

Wouldn't the angles need to be interior?
- They are all interior to the meme
  
  This meme seems to be in a 16:9 ratio making it a rectangle.
- also the sides must be straight
  
  It's 2024 now... Not everyone has to be straight anymore!
  
  Polar coordinate straight
  
  Define straight in a precise, mathematical way.
  
  I knew math was homophobic!
- This is merely a projection of a square on the surface of a cone projected onto a plane.
- This is also not a polygon. It has infinite and 2 sides at the same time.
- This actually has six right angles if you include exterior ones.

Kinda forgot the sides being parallel part. Like missing a step in assembling IKEA furniture, its not gonna turn out right.
- You don't normally need to specify that the sides are parallel if you specify four right angles.
- Also pretty sure definition of a shape requires only one enclosed or contiguous area.
  
  This one is enclosed and contiguous though, the lines of the triangle end where the circular line starts. (The rest is just a drafting residue.)
- Those arc sides are parallel in polar coordinates.

Easy there Diogenes.

Anarchy geometry
- If anyone makes this community, let me know please.
  
  i will make it, but i won’t tell you

- Out of 4 lines

A square has all right angles inside the structure. This thing has two inside and two outside.
- If you add that to the definition, you could still have a “square” with a segment of a circle connecting the edges in the middle
  
  Then that section would be of a shorter length.
- But arent the ones from the circle 90 degrees on the inside of the circle as well? The squares could've just as well been placed on the other side of the (circle) lines.
  
  No, the two angles are not equal. Outside/inside angles add up to two π radians. A square has four interior angles of 1/2 π radians, and four exterior angles of 3/2 π radians.
  
  This is true, however now it has 4 inside and two outside the structure, so it now has something a square doesn't has.
- Parallelogram.

This has an infinite number of sides

This is what AI would give you after countless tries strating with a triangle and having gone up the Pentagon and down to two pairs of unconnected parallel lines.....but what if all equally sized lines were connected? Bam! This
- Fun Fact: It is very difficult to get any of the image generators to make a pentagon.
  
  I thought this couldn't be true, so using one of the newer models (4bit flux) I told it to make a 5 sided star, and then put lines around the outside
  lol this is very weird, did they forbid it from looking at pentagons in the training data or something? it can't do The Pentagon either, it gives it 8-12 sides instead

Poor Pac-Man does not look quite okay... :-(
- That's a Pac-lapse.

A square? A square?! Wake up sheeple! That things not even a rombus! Don't you see the lies? Look at the lines! Look! Not all rhombuses are squares, but all squares are rhombuses! All squares are rhombuses and look at this thing they try to call a square. Where are the parallel lines? There's got to be parallel lines, don't you see, or then it's not a rombus and all squares are rhombuses. Don't forget that, don't let them take that fact from you and perpetuate their geometric lies. Does no one even remember what a rombus is? This is, this is basic geometry here that you should have learned in middle school or elementary school, but then you just forget it, and let people trick you with these misleading definitions and fancy diagrams but you have to remember that a Square. Is. A. Rombus.
- And all rhombus are parallelograms. By definition opposing sides must be parallel.
  
  YES. YES! A square is a rombus is a parallelogram! You see it too! There are no parallels in this diagram, only lies and trickery!
- You have shown me the truth
- This is why proper geometry is always well defined.

thinking outside the square

270°≠90°
You could say a regular square has 4 270° exterior angles

Now make a square out of squiggly yarn
String theorists claim this is the true shape of spacetime!
- relevant xkcd

This is a square in polar coordinates

Take that, Euclid!

Squircle
- Man I miss my Zune 80
- of course there's a Wikipedia page for that

It's Pac-Man with a megaphone!
- Or a comically big joint.
  
  Pac-Marley
- Pac-man eating a new york slice
  
  Pac-Man's & Sons Original Famous
  two blocks away from
  Pac-Man's Original
  which is a block and a half away from
  Pac-Man's Famous
  across the street from
  Pac-Man's & Sons Famous
  etc.
- you geometry people go too far stop personifying vertexes, planes, and points math shouldn't be fun

HOW ELMO, HOW?!?

Now construct it manually, no geogebra this time
- Settle down, geolzebub.

Is a corner with an angle of 180 degrees a corner? If yes, then all shapes have infinite corners and infinite edges.
- free real estate

tihi
- Ik exactly what this means but every single time I read it it makes me do the Micheal Jackson thing...
  TEE-HEE
  
  "Thanks I hate it"

This is a squircle
- I'm more of a charmander guy
  
  "Pythagorachu! I choose you!"
  A terrified old man tumbles onto the grass screaming in Latin

Plato boutta flip the table.

You're testing me, yo. An I'm bout to fail.

The angle of the arc in degrees is (180π-90)/π², or if you're a person of culture, the angle is (2π-1)/2π
- so that doesn't seem like 90 but I'm just guessing
  
  That angle doesn't count. It's just for constructing the straight lines; it's not part of the "square".

Where are the broad, flat fingernals tho?

Does this even meet the criteria for "a shape"? I'd have thought you need to be able to travel from any point within the shape to any other point, without crossing a line.
- The part showing the angle is not part of it. They should've made it a dotted line or something.
  Though, two of the 90° angles are.actually 270.
  
  Thank you that was helpful.
- The classic cartoon star shape isn't a shape with that rule. Same wth a crescent
  
  I don't know what a french pastry has to do with this.
  
  Huh? Of course it is. A star is, so long as you don’t draw it out of two interlocking triangles, or construct it from 5 straight lines, and leave the internal parts of those lines intact. A crescent just…is. Unless you’re trying to claim the stars that sometimes appear with a crescent (e.g. on some Islamic country’s flags) are a part of the crescent itself.
- That sounds like the definition for convex shape, not the general definition for a shape
  
  it doesn't have to be a straight line between points eh
  
  You’re the second person to have made that suggestion to me, but no.
- Depends how you define a shape. I don't think it's a polygon because it doesn't have straight lines. Technically a circle also isn't a polygon by the same rules, but circles have their own special little clubhouse. Sure is a shape though. I think this... thing is also a shape. Just not a useful one.
  
  Idk seems very useful to me, like if I need a paperweight or doorstop
  
  As it was presented in the OP, I don’t think it is a shape. If I get two squares and stick them next to each other so one side of each is touching, have I suddenly got one rectangle? Or do I still have two squares with a border between them?
  Someone else posted an amended version with the internal lines removed. The equivalent of taking those two squares and removing the border between them, so you would have just one rectangle.
- Concave shape vs convex shape
  
  Uhh, no. A crescent is a classic concave shape, but you can travel from any point to any other in a crescent without crossing a line, because it’s a single enclosed shape.
- I couldn't find any definition of geometric shape that uses that criterion, including Wikipedia which also has a 5-pointed star shown with 5 line segments labelled as a shape: https://en.m.wikipedia.org/wiki/Shape.
  The meme is wrong because squares are polygons by definition, which by definition are made of line segments, but this thing has curved sections.

Could be a square in a two dimensional space with different rules.

Wat. There are three sides my dudes. What am I missing?
- The semi circle side
- The almost-circle thingy is one side, which is touching the two straight lines, which are joined by another circular segment at the rightmost part. That makes four sides.

It's hip to be a...
- That music is just too darn loud
  
  Is that a raincoat?
- Fancy exclamation point

It makes me want to be angry and laugh at the same time

IDIC!

The 90 degree angles are supposed to be on the inside. Which in this case would mean at least the same side. Otherwise the 360 degree rule is broken and it's not a rectangle, much less a square.

that is less than 45 degrees
source: eyeballs