And many “circles” aren’t circles either, but 2D torus approximations. The edge of a true circle is made of infinitesimally small points so would be invisible when drawn. And even if you consider a filled circle, how could you be sure you aren’t looking at a 1-torus with an infinitessimally small hole? Or an approximation of all the set of all points within a circle?

Damn, so what’s the name of the shape that’s a flat donut with an inner and outer circular perimeters? i.e. a filled circle with another smaller radius circular area subtracted from it. Or 2D cross section of a torus seen perpendicularly to the plane that intersects the widest part of the torus. A squished donut, or chubby circle, if you like.

And many “circles” aren’t circles either, but 2D torus approximations. The edge of a true circle is made of infinitesimally small points so would be invisible when drawn. And even if you consider a filled circle, how could you be sure you aren’t looking at a 1-torus with an infinitessimally small hole? Or an approximation of all the set of all points within a circle?

Clearly, circles are a scam.

A 1-torus is a circle, you mean an annulus. You do NOT want to make this mistake at a topologist dinner party, trust me.

Damn, so what’s the name of the shape that’s a flat donut with an inner and outer circular perimeters? i.e. a filled circle with another smaller radius circular area subtracted from it. Or 2D cross section of a torus seen perpendicularly to the plane that intersects the widest part of the torus. A squished donut, or chubby circle, if you like.

Annulus

Hah he said annulus