60 points

A square has all right angles inside the structure. This thing has two inside and two outside.

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10 points

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

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16 points

Then that section would be of a shorter length.

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4 points

Ah, got me

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3 points
*

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.

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2 points

This is true, however now it has 4 inside and two outside the structure, so it now has something a square doesn’t has.

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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.

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5 points

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.

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11 points

That sounds like the definition for convex shape, not the general definition for a shape

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3 points

it doesn’t have to be a straight line between points eh

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1 point
*

Then this shape does meet the definition

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1 point

You’re the second person to have made that suggestion to me, but no.

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0 points

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.

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12 points

The classic cartoon star shape isn’t a shape with that rule. Same wth a crescent

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1 point

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.

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3 points

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

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9 points

I don’t know what a french pastry has to do with this.

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11 points

Are you sure about that?

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10 points

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.

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1 point

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.

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1 point

Idk seems very useful to me, like if I need a paperweight or doorstop

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1 point
*

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.

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1 point

Concave shape vs convex shape

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1 point

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.

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2 points

A crescent isn’t a convex shape though, and ironically you left out the word ‘straight’ in your rule about convex.

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50 points
*

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.

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5 points

Thank you that was helpful.

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144 points

Wouldn’t the angles need to be interior?

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7 points

This actually has six right angles if you include exterior ones.

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173 points

They are all interior to the meme

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92 points

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This meme seems to be in a 16:9 ratio making it a rectangle.

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10 points

This is also not a polygon. It has infinite and 2 sides at the same time.

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12 points

This is merely a projection of a square on the surface of a cone projected onto a plane.

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55 points

also the sides must be straight

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175 points

It’s 2024 now… Not everyone has to be straight anymore!

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6 points

Hi.

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5 points

It’s actually illegal

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24 points

If you want to claim you are a square, you need.

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3 points

I knew math was homophobic!

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4 points

Define straight in a precise, mathematical way.

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8 points

The tangent of all points along the line equal that line

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23 points

Polar coordinate straight

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7 points

tihi

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32 points

Ik exactly what this means but every single time I read it it makes me do the Micheal Jackson thing…

TEE-HEE

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4 points

“Thanks I hate it”

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10 points
*

Aah, thanks. But I’ll keep reading it properly, as TEE-HEE.

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29 points

This has an infinite number of sides

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