Straight lines. Also two sets of parallel lines. This is one definition of a square, but not the common one.

Someone never had to deal with mathematical proofs, only layman's definitions.

All properties of a parallelogram apply:

• Opposite sides are parallel
• Opposite sides are congruent
• Opposite angles are congruent
• Consecutive angles are supplementary
• Diagonals bisect each other

AND

• All angles are congruent
• All sides are congruent
• Diagonals are congruent
• Diagonals are perpendicular
• Diagonals bisect opposite angles

The interior angles need to be equal 🤓

Does no one understand this is a joke, talking about parallel lines and mathematical proofs is pointless when its a fucking meme

Oh let's get pedantic!

The curved edges technically have infinite "side".

A square must also have two pairs of parallel sides.

If it clucks likes a chicken and scratches like a chicken, it's Man.

I get downvoted for bringing it up, but for fuck's sake you're dumping literally everything into this community regardless of the fit. There are a dozen (I'm estimating) other communities that could benefit from the content you post but you have thus far insisted on only posting here.

Can you at least make the tiniest effort to spread content to other communities that would benefit from the increased views and potential subscriptions?

I shall await the fun police and everything's a meme comments.

Rotate the cone towards you.

Now you see this. 🤯

All I can see:

https://www.bricklink.com/v2/catalog/catalogitem.page?P=40243#T=C

Learned this one in 6th grade geometry: drawing a square in thr corner doesn't make it 90°

I'm not a math major, but I always considered it that a square is a special case of rectangle, a rectangle is a special case of parallelogram, and a parallelogram a special case of a quadrilateral, a quadrilateral a special case of a simple polygon.

This shape isn't a polygon, so it cannot be a square.

Dammit Diogenes, this is why we don't allow you in the geometry class anymore.

Solution:

Explanation:

1. in order for the straight lines to be 90 deg with the circles, they must be radii of circles with same central point

2. the length of an arc is defined as c = r * θ (where r is the radius, and θ is the angle)

3. we define the inner circle with radius r₁ and its arc L₁ = r₁ * θ₁

4. we define the outer circle with radius r₂ and its arc L₂ = r₂ * θ₂

5. Because of (1), θ₁ + θ₂ = 2π

6. To create the shape, L₁ = L₂ = r₂ - r₁

If you start replacing and solving, you will get a 2nd grade quadratic, which has a positive and a negative solution. The positive solution is that magic number.

Thanks, I hate it.

Diogenes go home.

Tut tut, all these maths books promoting unhealthy square shapes, real squares have curves.

Not a polygon

Mathematics by Diogenes