>square has 4 sides >cube has 6 faces >circle has 1

A side is two-dimensional. A face is three-dimensional. So your analogy is flawed.

http://mathcentral.uregina.ca/QQ/database/QQ.09.00/georganne1.html

TL;DR semantics..

>>8646314
A side is one dimensional, a face is two dimensional

>>8646308
line has 2 points
square has 4 lines
cube has 6 squares
tesseract has 8 cubes
5-cube has 10 tesseracts
.
.
.
n-cube has 2n (n-1)-cubes

In my understanding, a perfect circle has an infinite number of lines tangent to any given point on the circle. So the logic follows that a perfect sphere would have an infinite number of faces tangent to any selected point on the face of the sphere.

I'm probably wrong though.

For all non-self-intersecting polyhedra: Faces + Edges - Vertices = 2

A sphere has 0 vertices
Therefore we can assume it has one face and one edge

I think that a sphere has infinite lines since you can think about it as a rotating circle

>>8647565
or infinity of anythings

>>8647565
Fuggg
I've just realized I knew the proof of this theorem in high school but I don't remember it now

>>8646308
Sphere has one face
Who did you change the question to lines at the sphere when you clearly asked faces of the cube ?

>>8646308
No. Spheres have infinite lines

>>8646308
I could argue that spheres have infinitely many lines.

this proves 0 = infinite

>>8647546
Owned. Squares blown the fuck out.

>>8646308

When you're talking squares you move up one dimension, including sides to faces. But then with respect to circles, you don't move up from lines to surfaces, for some reason.
Plus as everyone's said, a sphere has infinite lines on it's surface.

>>8647546
So a 4-Dimensional sphere has infinite many spheres? Holy shit.

>>8647619
That is dumb and you are wrong.