/sci/ - Science & Math

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Anonymous Mon Nov 26 21:00:24 2018 No.10169259 [Reply] [Original]

Whats the difference between an infinitly sided regular polygon and a circle?

>>	Anonymous Mon Nov 26 21:03:19 2018 No.10169272 >>10169259 An infinite sided regular polygon is a "linear" description of the circle.

>>	Anonymous Mon Nov 26 21:22:11 2018 No.10169327 >>10169259 They’re both impossible, anyway

>>	Anonymous Mon Nov 26 21:34:21 2018 No.10169352 Circle isn't infinite sided. It's just huge number sided. Info from summer this year. To lazy to find it.

>>	Anonymous Mon Nov 26 21:40:21 2018 No.10169365 >>10169352 I think you may be confusing OP’s “infinigon” with an apeirogon

>>	Anonymous Mon Nov 26 23:06:38 2018 No.10169543 >>10169259 nothing

>>	Anonymous Mon Nov 26 23:10:39 2018 No.10169553 >>10169259 Infinite-sided polygon has countably infinite sides. A circle is kind of like this, but has uncountably infinite ‘sides’, as if each ‘side’ were a single point.

>>	Anonymous Mon Nov 26 23:24:29 2018 No.10169570 >>10169259 An infinitely sided polygon is the union of an infinite quantity of positive-length line segments connected end-to-end. A circle does not match this description, as no subset of a circle in Euclidean geometry can be a line segment.

>>	Anonymous Mon Nov 26 23:31:58 2018 No.10169585 >>10169259 A circle has only two sides.

Anonymous Mon Nov 26 23:59:46 2018 No.10169616

>>10169570
>as no subset of a circle in Euclidean geometry can be a line segment.
I get what you’re trying to say but wouldn’t you think the math is wrong in this case? A circle is indistinguishable from a an infinite n-gon. If it quacks like a duck and it looks like a duck, then it’s probably a circle

Anonymous Tue Nov 27 00:17:46 2018 No.10169641
File: 7 KB, 616x383, Regular_2-apeirogon.png [View same] [iqdb] [saucenao] [google]

>>10169259
A lot of things actually. The apeirogon is contractible, but the circle is not. The apeirogon is simply connected, but the circle is not. The circle is compact, but the apeirogon is not. Just to name a few.

>>	Anonymous Tue Nov 27 01:03:00 2018 No.10169705 what is the difference between a circle with an infinite radius and a line

>>	Anonymous Tue Nov 27 01:16:00 2018 No.10169717 >>10169705 Well "circle with infinite radius" doesn't even exist in Euclidean space for one

>>	Anonymous Tue Nov 27 01:18:28 2018 No.10169719 >>10169705 the radius of circle doesn't affect its arc. Therefore, assuming we're talking about 2d the difference is one is a circle one is a line

>>	Anonymous Tue Nov 27 05:11:39 2018 No.10169936 infinity doesn't exist, and neither does an infinitely sided polygon

>>	Anonymous Tue Nov 27 05:21:41 2018 No.10169949 >>10169936 t. wildberger

>>	Anonymous Tue Nov 27 06:39:47 2018 No.10170055 what's the difference between a one sided polygon and a dot?

>>	Anonymous Tue Nov 27 06:45:48 2018 No.10170060 whats the difference between a four sided polygon with each side being 1 Planck length, and a dot?

>>	Anonymous Tue Nov 27 06:46:07 2018 No.10170061 >>10169259 >what's the difference between 0.999... and 1 how original

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