Oh man I felt this.
Wouldn't the angles need to be interior?
also the sides must be straight
WOW! just wow, do you hear yourself?
It's actually illegal
Believe it or not, straight to jail.
Hi.
Define straight in a precise, mathematical way.
Only true in Cartesian coordinates.
A straight line in polar coordinates with the same tangent would be a circle.
EDIT: it is still a “straight” line. But then the result of a square on a surface is not the same shape any more.
This is merely a projection of a square on the surface of a cone projected onto a plane.
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.)
No, it is 2 contiguous regions. The line of separation is the bounding line of a "shape."
Otherwise, the entire whitespace outside of the region is also part of the shape, as is anything it touches.
OK, imagine the space outside of the shape is black, or see through or whatever.
Anarchy geometry
If anyone makes this community, let me know please.
NOOOOOoooo...!
Easy there Diogenes.
Out of 4 lines
A square has all right angles inside the structure. This thing has two inside and two outside.
Then that section would be of a shorter length.
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 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
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
I don't really know, but I think it's mostly to do with pentagons being under-represented in the world in general. That and the specific way that a pentagon breaks symmetry. But it's not completely impossible to get em to make one. After a lot of futzing around, o1 wrote this prompt, which seems to work 50% of the time with FLUX [pro]:
An illustration of a regular pentagon shape: a flat, two-dimensional geometric figure with five equal straight sides and five equal angles, drawn with black lines on a white background, centered in the image.

quick test, with that prompt and flux schnell gguf 4 bit again:
it seems a lot stupider than pro lol
thinking outside the square
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.
You have shown me the truth
That's a Pac-lapse.
Now make a square out of squiggly yarn
String theorists claim this is the true shape of spacetime!
of course there's a Wikipedia page for that
Man I miss my Zune 80
It's Pac-Man with a megaphone!
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.
Pac-Marley
You're testing me, yo. An I'm bout to fail.
Plato boutta flip the table.
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.
Wait, you don't mean the line has to be straight? If that's what you mean, I'm fairly sure the internal lines in the post are only there as construction. The section of the triangle that's inside the smaller circle is just there to show dimensions, so it's drawn (slightly) thinner than the external lines
If you're talking about straight lines, then yes, that's how you define a convex shape. If any uninterrupted path can be taken, then the OP shape does satisfy the condition.
Edit: just read the other comments and I see the problem was that you thought the internal angle shown for reference on how the shape was built is part of the shape. It's not, just the thicker lines define the shape shown. The little crossmarks that show equal sides are also not part of the shape.
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.
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
A crescent isn't a convex shape though, and ironically you left out the word 'straight' in your rule about convex.
No irony, I didn't say straight because I didn't mean straight. I meant exactly what I said: you can get from one point to another without crossing a line. Because if you have to cross a line, you've either moved into a different shape (in the case of two adjoining shapes) or moves into empty space.
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.
Wat. There are three sides my dudes. What am I missing?
The semi circle side
It's hip to be a...
Is that a raincoat?
@mander.xyz
A place for majestic STEMLORD peacocking, as well as memes about the realities of working in a lab.

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@mander.xyz
A place for majestic STEMLORD peacocking, as well as memes about the realities of working in a lab.

Rules
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When you miss one important constraint in your CAD project.
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