How many faces

[Anonymous No.11536586]

None, one or infinite faces?

[Anonymous No.11536594]

>>11536586
Undefined because a perfect sphere can't exist

[Anonymous No.11536599]

You haven't even drawn a mouth or eyes yet, so i'm gonna have to say none buddy

[Anonymous No.11536605]

>>11536599
basd

[Anonymous No.11536611]

>>11536586
Define "face".

[Anonymous No.11536618]

>>11536586
1
>>11536611
autist
https://math.stackexchange.com/a/40266

[Anonymous No.11536620]

>>11536594
all points in R^3 equidistant from some selected point, where equidistant is defined via the euclidean metric.
This is well defined and exists.

[Anonymous No.11536737]

>>11536599
/thread

[Anonymous No.11537003]

>>11536586
If we're being autistic here, it's two right? There is one face pair?

[Anonymous No.11537045]

>>11536586
Infinitely many, every point is a face by definition.
A face of a convex set in a locally convex topological vector space is a convex subset of points such that, if any nontrivial convex combination of two points in the larger set is contained within the subset, then both points are in the subset.
Each point of the sphere on its own is a face. Indeed, such points are the largest nontrivial faces (and also the smallest ones) of the sphere.

[Anonymous No.11537437]

>>11536611
/thread
>>11536620
space is quantized, dumb nigger

[Anonymous No.11537441]

>>11537045
>Infinitely many
The correct term is 'infinity', dumbfuck autist.

[Anonymous No.11537444]

>>11537437
No, it isn’t. Pseud nigger.

[Anonymous No.11537456]

>>11537444
retarded fuck

[Anonymous No.11537476]

>>11537441
The correct term is infinite, infinity is the quality of things that don't end, not a thing in itself, dumbfuckautist

[Anonymous No.11537479]

>>11536586
>faces
>non-n-hedron
does not compute

[Anonymous No.11537519]

>>11536586
If its a sphere, 1.
If its hollow, 2.
If its cut in half and hollow, 4
If its cut in half and solid, 2
If its composed of triangles as 3d geometry requires, probably like 50,000

[Anonymous No.11537548]

>>11536594
Math isn't concerned with the real world existence of anything.

[Anonymous No.11537554]

>>11537045
>convex
>lel a sphere has infinite faces and a torus, hell even a star polyhedron has zero
Do you realise how dumb you sound? Trying to sound smart but just parroting jargon?

[Anonymous No.11537556]

>>11537548
Math is a tool.
We use tools to solve problems.
What is the purpose of a tool that isn't useful?

[Anonymous No.11537559]

Who else has a 2 inch stiffy?

[Anonymous No.11537599]

>>11537556
it is useful if we assume it's perfect.
if we didn't then you'd have to assume variables before every calculation, pi would be different every time, etc.

[Anonymous No.11537603]

>>11537599
>it is useful if we assume it's perfect.
No it isn't, that leads to errors in the calculation.

[Anonymous No.11537621]

>>11537603
Hmm. Apparently it didn't yet for thousands of years. I wonder why.

[Anonymous No.11537675]

>>11537556
>Math is a Tool

[Anonymous No.11537732]

>>11536586
You can construct it via CW complex with
1 2-cell, 0 1-cells, 1 0-cell
or
2 2-cells, 1 1-cells, 1 0-cell
or in many other way
You'll notice that the Euler characteristic doesn't change : #2-cells - #1-cells + #0-cells =2
This is because homology is a homotopy invariant. Cellular chain groups are generated freely by the n-cells, and the alternating sum of ranks doesn't change as you pass to homology, hence is a homotopy (and, a fortiori, topological) invariant.

[Anonymous No.11537744]

>>11536620
Retarded, nothing to be completely equidistant in a sphere as pi is an irrational number

[El Arcón No.11537749]

Probably you would say there is one tangent plane per face,

[Anonymous No.11537753]

>>11537744
>>11537441
>>11537437
>>11536594
Mathematically illiterate morons tongue my anus!

[Anonymous No.11537758]

>>11536586
Neither, it's only half a butt.

[Anonymous No.11537802]

>>11536586
1, you dumb middle African.

[Anonymous No.11537844]

>>11536586
It truly depends on your definition of what a face is. Faces are mathematically only defined as flat surfaces spanned by vertices in polygons as far as I know. That is to say, there are no continuous bumps or creases in a face. In that sense, if you want to create a sphere out of faces, you need an infinite-faced polygon which, obviously, gives you infinite faces in the end.

Lay people probably use surfaces and faces interchangeably and count the number of faces as the individual number of sepperate parametrisations you need to define a surface, which for a sphere would be 1 (namely all points with an equal distance to a central point).

[Anonymous No.11537852]

>>11536586
Two since its an orientable manifold. Try the differential form xdydz - ydxdz + zdxdy

[Anonymous No.11538072]

>>11537852
>Two since its an orientable manifold.
How does that follow?
>Try the differential form xdydz - ydxdz + zdxdy
How is this relevant?

[Anonymous No.11538074]

>>11537556
t. retarded engineer

[Anonymous No.11538098]

>>11537441
>The correct term is 'infinity', dumbfuck autist.
so it has "infinity many" faces?

[Anonymous No.11538102]

>>11538098
Why are you engaging with the obviously mentally ill?

[Anonymous No.11538106]

>>11536586
number of faces divided by zero equals number of faces

[Anonymous No.11538406]

>>11537556
Yeah who needs general knowledge anyways

[Anonymous No.11538420]

>>11537753
>NOOOOOOOOOOO!!!! YOU'RE SUPPOSED TO ASSUME THAT IT'S A PERFECT SPHERE EVEN THOUGH THOSE DON'T CAN'T EXIST WITH IRRATIONAL NUMBERS!!!!
Shut up retard. Keep speaking and I'll bash your head in

[Anonymous No.11538461]

>>11536594
Why the fuck not? As long as the radius is consistent it's a sphere right

[Anonymous No.11539478]

>>11537548
But it should have a coherent set of rules

[Anonymous No.11539483]

>>11536586
infinite

[Anonymous No.11539493]

>>11536586
One

[Anonymous No.11539494]

>>11536594
>Undefined
started off well
>because a perfect sphere can't exist
kill yourself

[Anonymous No.11539521]

>>11536586
Can faces curve?
>Yes.
Then one.
>No.
Then infinitely many.

[Anonymous No.11539653]

>>11536586

A sphere has the same amount of "faces" as any other 3d shape. We say that faces end at the edge of the face, but that's just arbitrary. If you smooth out the edges do you lose a face? If I dimple the sphere, does it acquire another face?

There is no difference.

[Anonymous No.11539741]

>>11537437
>>11537744
All things that are well defined, objectively exist.

[Anonymous No.11539912]

>>11536586
For all practical purposes infinite, but technically one

[Anonymous No.11540455]

>>11537554
Are you fucking kidding me? Basic facts about locally convex topological vector spaces are standard material in an introductory functional analysis house.

[Anonymous No.11540598]

>>11536586
1 though the reason you see more than 1 is that the drawing with the seperate line creates an illusion.

[Anonymous No.11540627]

>>11536618
>https://math.stackexchange.com/a/40266
>[the teacher] said she thought my son had written "8." She didn't know that a sideways "8" means infinity.

[Zilly Vagus No.11540640]

>>11536586
face = bounded region

There are 2 faces on any infinitely compactable space.

COLLECT YOUR PRIZE: https://www.youtube.com/watch?v=Gs4HB9CyacM

[Anonymous No.11540642]

>>11536599