# Spheres, how many sides??

## Recommended Posts

How many sides does a shpere have? One or infinite?

PS: how does a mobius band work??

• Replies 74
• Created

#### Posted Images

A sphere has one side, or two if it's hollow. You can see if something is infinite this way: - if it fits in your hand, it's not infinite.

And the mobius band works very well. Usually using paper and sticky tape.

Any other answers probably belong in the philosophy forum, unless the word infinite is replaced with perpetual!

##### Share on other sites

Not a *heavenly* shpere, no reason to go to the Philosophy Forum.

"How" does a mobius band work?

42

##### Share on other sites

Er, no not a heavenly sphere. The concept of the side bei...oh never mind.

How does a mobius band work? How does a table work? Who is Spain? Where are the Snowdens of yesteryear?

##### Share on other sites

A side is an extrusion between two vertices.

A sphere has no vertices.

Therefore: Zero.

##### Share on other sites

Now I have to google that too! I don't understand that.

PS: Found out what a mobius band is, by myself.

##### Share on other sites

either.

infinite sides would mean that it has a perfect curve.

one perfectly curved side is the exact same thing as infinite sides.

##### Share on other sites

If you're using the dictionary definition of "side" (pffft), then you can consider the surface of a sphere to be one side.

"Infinite" doesn't come into it. If it has lines that close off planes, it's not a sphere.

##### Share on other sites

Okay, So a perfect sphere has infinit sides.

##### Share on other sites
Sayonara³ said in post # :

A side is an extrusion between two vertices.

A sphere has no vertices.

Therefore: Zero.

or shperes have infinite verticies, therefore infinite.

but i agree with the "not one" part of this.

one side came from inside and outside. these are not actual sides, they only refer to the placement of an object in relation to another object.

##### Share on other sites
Sayonara³ said in post # :

"Infinite" doesn't come into it. If it has lines that close off planes, it's not a sphere.

but, the only way for infinite sides to fit in a finite space is to have each side infinitely small, and unable to close off a plane.

##### Share on other sites
iglak said in post # :

but, the only way for infinite sides to fit in a finite space is to have each side infinitely small, and unable to close off a plane.

You've applied the right logic, only backwards

##### Share on other sites

But I liked the infinite answer!

##### Share on other sites
Sayonara³ said in post # :

You've applied the right logic, only backwards

i'm missing something here... (i don't understand what you mean)

##### Share on other sites

It's a poopy answer for the philosphers to worry about. And it smells.

Zero or One!

##### Share on other sites
iglak said in post # :

i'm missing something here... (i don't understand what you mean)

Instead of using the nature of a sphere to prove it had no sides, you started from the assumption it had infinite sides then squeezed the reasoning in, so to speak.

A sphere's surface can't have closed (or open) sides because it's continuous in every direction.

##### Share on other sites
Sayonara³ said in post # :

It's a poopy answer for the philosphers to worry about. And it smells.

Zero or One!

after i read your first post, i agreed that it <edit> isn't one...

i'm still confused...

##### Share on other sites

I didn't say it couldn't be one.

If you go by the geometric definitions, it's zero.

If you go by the dictionary definitions, it's one.

I don't see an argument for 'infinite'.

##### Share on other sites
Sayonara³ said in post # :

Instead of using the nature of a sphere to prove it had no sides, you started from the assumption it had infinite sides then squeezed the reasoning in, so to speak.

A sphere's surface can't have closed (or open) sides because it's continuous in every direction.

ah, i see

well, a line could be said to have infinite points, and a plane could be said to have infinite lines (and thus infinite points too). a sphere shaped plane could be said to have those too (since it's just a plane). it is entirely appropriate to count each point as a vertex. since each point is infinitely close to the next point, each side is only one point, and thus not 3 or more lines closing off a plane.

also, saying there are zero sides doesn't make sense in my mind, that would indicate that it doesn't exist (i mean i can understand saying zero, i just thing infinite is more accurate).

##### Share on other sites
iglak said in post # :

and thus not 3 or more lines closing off a plane.

that right there is an argument for it not having infinite sides... but i vote that the dictionary needs to be revised!

##### Share on other sites
iglak said in post # :

well, a line could be said to have infinite points, and a plane could be said to have infinite lines (and thus infinite points too). a sphere shaped plane could be said to have those too (since it's just a plane). it is entirely appropriate to count each point as a vertex. since each point is infinitely close to the next point, each side is only one point, and thus not 3 or more lines closing off a plane.

That's not a sphere. It's a mesh.

also, saying there are zero sides doesn't make sense in my mind, that would indicate that it doesn't exist (i mean i can understand saying zero, i just thing infinite is more accurate).

Yes and no. In the case where I said there were no sides, the assumptions is that "side" and "surface" are not synonymous terms.

##### Share on other sites

How many sides? Depends on how many pyramids you glue to it

Seriously though mathematically it can be said that the number of sides of a circle tends to infinite as the length of each side tends to zero. Anything more than that and you are getting into philosophy of maths.

##### Share on other sites

Which is a pain in the proverbial.

##### Share on other sites

This is a pain, why can't anything be simple!!

##### Share on other sites
This topic is now closed to further replies.

×