/sci/ - Science & Math » Thread #12556029

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Anonymous Fri 08 Jan 00:57:20 2021 No.12556029 View Reply Original Report

Quoted By: >>12556032 >>12556378 >>12556643 >>12556827 >>12558007 >>12558014

Does and infinitely small cube have only 3 faces?

Anonymous

Anonymous Fri 08 Jan 2021 00:57:58 No.12556032 Report

Quoted By: >>12556134

>>12556029
define "infinitely small"

Anonymous

Anonymous Fri 08 Jan 2021 01:23:40 No.12556101 Report

Quoted By:

its a cuboid

Anonymous

Anonymous Fri 08 Jan 2021 01:33:20 No.12556134 Report

Quoted By: >>12556666

>>12556032
0.00000000000...01 cm^3 volume

Anonymous

Anonymous Fri 08 Jan 2021 02:43:51 No.12556378 Report

Quoted By:

>>12556029
it would have 6 faces

Anonymous

Anonymous Fri 08 Jan 2021 04:16:19 No.12556643 Report

Quoted By: >>12557629

>>12556029
Someone posted something about points are not tiny spheres like a year ago. Do infinitesimals have shapes? They must have some characteristic to differentiate one from another.

Anonymous

Anonymous Fri 08 Jan 2021 04:22:46 No.12556666 Report

Quoted By: >>12556930

>>12556134
>0...01
No such thing

Anonymous

Anonymous Fri 08 Jan 2021 05:38:53 No.12556827 Report

Quoted By:

>>12556029
No. A cube must have 6 faces.

Anonymous

Anonymous Fri 08 Jan 2021 06:18:34 No.12556930 Report

Quoted By:

>>12556666
Dilate 1tranny

Anonymous

Anonymous Fri 08 Jan 2021 11:59:42 No.12557629 Report

Quoted By: >>12557630

>>12556643
This is a good question. Relatedly, is a topology of R^n whose open sets are defined by the open ball different from one whose open sets are defined by an open cube? what about other norms?

Anonymous

Anonymous Fri 08 Jan 2021 12:00:29 No.12557630 Report

Quoted By: >>12557650

>>12557629
all norms on R^n are equivalent

Anonymous

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Anonymous Fri 08 Jan 2021 12:02:12 No.12557638 Report

Quoted By:

>infinitely small cube
points dont have shape

Anonymous

Anonymous Fri 08 Jan 2021 12:08:50 No.12557650 Report

Quoted By:

>>12557630
even L^infinity?

Anonymous

Anonymous Fri 08 Jan 2021 14:36:45 No.12558007 Report

Quoted By:

>>12556029
Sure, kinda what Stoke's formula is about.

Anonymous

Anonymous Fri 08 Jan 2021 14:38:58 No.12558014 Report

Quoted By:

>>12556029
if it's big enough to be a cube it's big enough to have 6 faces

Anonymous

Anonymous Fri 08 Jan 2021 15:00:18 No.12558067 Report

Quoted By:

>imagine a square shrinking to zero size
>think of this movie as a pyramid, a square pyramid
does the apex of a square pyramid have four sides? does the vertex of a triangle have two edges?

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