# Hypercubes in a college class

1. Jul 21, 2011

### Andrewjh07

Have been reading up on tesseracts lately and I was wondering what class in college if any include the learning of these. Was thinking it would be a physics class of some sort but at the same time it could be a math class too.

2. Jul 21, 2011

### Kevin_Axion

Higher dimensional geometry or just a standard advanced geometry class.

3. Jul 22, 2011

### Angry Citizen

We were studying hypervolumes and stuff in calc 3, actually.

4. Jul 22, 2011

### micromass

Hmmm, this depends really. A lot of math classes will give you the tools to handle hypercubes, but they will rarely ever mention it.
Some classes that could be useful are:
- advanced calculus
- differential geometry (for hyperspheres and stuff)
- topology of manifolds, algebraic topology

The only class where hypercubes and stuff were explicitely mentioned and studied was a class called "advanced group theory". The idea there was to describe a certain n-dimensional shape by studying its reflection group. The theory then moves on to Coxeter diagrams and the like. It's extremely interesting, but I don't know if that is what you're looking for?

What kind of study do you want to do on hypercubes?

5. Jul 22, 2011

### Andrewjh07

Hhmm, I dont remember doing hyper-stuff in Calc 3, its been awhile since I took it. Ill have to look around for that book and see if anything is inside that is of value. All of these classes sound like high 300-400 level math classes, so unfortunately I wouldnt ever be able to take unless I tried to double major in math. I only got up to Lin. Algebra.

6. Jul 22, 2011

### kingkong11

Some calculus textbook will include some discussions on hypersphere, cube etc. I get the impression that they are pure mathematical exercise with no real world applications.

7. Jul 22, 2011

### Stengah

We touched on them in Discrete Math.

8. Jul 23, 2011

### Angry Citizen

Maybe y'all are talking about something else (I get that distinct impression in this thread), but any time you have a triple integral, it can be described in terms of a four-dimensional geometric object, or a hyperobject. These have loads of applications.

9. Jul 23, 2011

### HeLiXe

Definitely topology :)

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