Circles do not exist (nibblestew.blogspot.com)
submitted 1 week ago by [email protected] to c/[email protected]
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[-] [email protected] 53 points 1 week ago

Okay but raster images can't represent circles either, since they're just approximations using squares

[-] [email protected] 27 points 1 week ago

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.

[-] [email protected] 18 points 1 week ago

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.

[-] [email protected] 4 points 1 week ago* (last edited 1 week ago)

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.

[-] [email protected] 3 points 1 week ago
[-] [email protected] 2 points 1 week ago

Hah he said annulus

[-] [email protected] 4 points 1 week ago

Damn you PDF, damn you to heck!

waves fist at cloud

[-] [email protected] 38 points 1 week ago

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?

[-] [email protected] 1 points 1 week ago

There are analog vector displays.

[-] [email protected] 2 points 1 week ago

Ah yes indeed but there must be some imperfections down the line so not a Real circle, though we are getting closer.

[-] [email protected] 5 points 1 week ago

In this sense, we don't have real rectangles or lines, either

[-] [email protected] 5 points 1 week ago

So what I'm learning is nothing is real...

[-] [email protected] 4 points 1 week ago

It's all cake.

[-] [email protected] 36 points 1 week ago

Titles like this annoy me. If you have something interesting to say - which is the case here - say what it is. No need to obfuscate the topic. It wastes time for everyone.

Anyway, it's kinda hilarious that the only way to make a proper circle in PDFs is with line caps. What a bizarre format. I hope it's succeeded by something better sooner rather than later, I can't think of any time they haven't been a pain to work with.

[-] [email protected] 10 points 1 week ago

What a bizarre format.

You should have seen my face when I discovered that it even supports 3D graphics, but you can probably count the functional readers on your fingers... and they're all proprietary.
Honestly not surprised, PDF feels like a taped together format that is at the whims of Adobe, supporting all those exotic features would be hell and I would not want to be in the position of the person who takes care of that. At this point it feels like a shittier website without responsiveness

[-] [email protected] 6 points 1 week ago

I've been saying this for years! If properties of a shape cannot be expressed with finite precision then how can that shape exist in a universe with clunky restrictions like the planck length?

this post was submitted on 09 Sep 2023
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