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.
14 Comments
jplate8@lemmy.world · 54 pts · 2y
Okay but raster images can't represent circles either, since they're just approximations using squares
zero_iq@lemm.ee · 28 pts · 2y
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.
kogasa@programming.dev · 18 pts · 2y
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.
zero_iq@lemm.ee · 4 pts · 2y
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.
j4yt33@feddit.de · 3 pts · 2y
Annulus
hydroel@lemmy.world · 2 pts · 2y
Hah he said annulus
joel_feila@lemmy.world · 1 pts · 2y
They overly annulus to me.
PuppyOSAndCoffee@lemmy.ml · 4 pts · 2y
Damn you PDF, damn you to heck!
waves fist at cloud
clemdemort@lemmy.world · 38 pts · 2y
Well I'd argue vector image can represent a real circle but what's on the screen will never be one.
Also why is this on Lemmy Linux?
Synthead@lemmy.world · 1 pts · 2y
There are analog vector displays.
clemdemort@lemmy.world · 2 pts · 2y
Ah yes indeed but there must be some imperfections down the line so not a Real circle, though we are getting closer.
Synthead@lemmy.world · 5 pts · 2y
In this sense, we don't have real rectangles or lines, either
ObviouslyNotBanana@lemmy.world · 5 pts · 2y
So what I'm learning is nothing is real...
Fuck_u_spez_@sh.itjust.works · 5 pts · 2y
It's all cake.