Polygons of increasing sides compared to a circle

As the number of sides becomes infinite, does the polygon become a circle? Why or why not?

[DoganErbahar]

My 8 years old was asking me why people said circle is an infinite number of sides polygon. I wanted to show her visually, I googled quickly which brought me here. She immidiately understood, thanks for the animation 👋

[brycnaird]

This proves my theory that a circle has an infinite amount of corners

[RealLifeKyurem]

A shape with infinite sides is called an apeirogon, which is different from a circle. While the two look similar, their main difference is their symmetries. An apeirogon has a countably infinite amount, while a circle has an uncountably infinite.

More formally, a circle has the symmetry group S¹ (also known as the circle group), while an apeirogon has the symmetry group Dih_∞ (also known as the infinite dihedral group)

[qroadside]

What’s the name of the last polygon that the human eye can detect lines before it becomes visible a ⭕️

[MondoEntertainment]

The final one is a which is the last one before an apeirogon.

[diannesalva]

That new one then not a circle by make object all side many

[JavohirXR]

So all convex shapes are just approaching circle?