TJ McCaustland

You're doing great! I am following everything so far, and I imagine you lose these constructs with the step up to the 4 D because of "self folding" nature of some 4 D geometric shapes such as tesseracts because of the way translation occurs on 4 axis' instead of 3? Eh probably got that wrong but still that is the only part I do not get

Got it. So it is much simpler than I initially thought and the ordered pair example I gave was correct, in that for n dimensions there will be n variables. Neat. Thanks.

In short, I am curious about how this even works and I want to know because I enjoy math, so I decided to ask people with a higher education than mine and who definitely know more about math than I do. So my understanding of graphing in three dimensions to give you an idea of my level of understanding of the concept so you can explain it better is essentially this: In order to graph in more than two dimensions we must simply add a third axis: Z. Z represents the depth axis and intersects X and Y at the origin vertically relative to the plane that X and Y form. The Z axis forms a plane with the Y axis vertically and the X axis horizontally. Graphing a function in three dimensions is somewhat similar to graphing a function in two dimensions except that at least from the way I have been exploring it you have to have a chain of functions or relations: X has to be a function of Y, and Z has to be a function of X or Y or some combination of the three. For example (probably incorrect notation) x2=y3=z2 is an exponential function that is always y positive because of the odd exponent that y has, and thus the output of Y's function is always in the domain positive integers while X and Z's are simply integers. I'm not sure if this is correct since I have not yet run into 3-D graphing past a cursory level in my education but it should give you enough information to explain how graphing in more than three dimensions works in terms that I can understand. For reference, this is the graph of x2=y3=z2 So, probably going to get this totally wrong, but would then a four dimensional function not look something like this where we simply add an axis? X=Y=Z=A? Or some other combination of axis names? And the ordered pairs would look like (X,Y,Z,A) just like with 3D graphing? Probably getting ahead of myself, but what would intervals look like with that many dimensions? Also, is anyone willing to work with me on 3D vectors? I am mostly self taught since I have not come across this in my degree classes and I am interested.

Best medical joke ever: A doctor asks a patient "Do you have a will sir?" The man replies "Keep me alive till I'm Dead!"

Maybe..... Just Maybe...... you should look at computer science some time lol.

Wow....... I think I might have a phrase that suits you well... from a song I recently heard..... "Teenagers scare the living (&^# outta me!"

Wow..... Just wow lol...... I'm assuming your age group is becoming a bit of a minority if you don't like any of the heavier stuff people listen to now...........

Bit of Avenged Sevenfold, Some Iron Maiden, Generally lighter stuff

Didn't even realize that was there, I thought you just copied and pasted from the internet and cited sources..... Wow......

I would add in the ability to create mathematical symbols such as pi in the default editor without copying or pasting, to better support speculation, mathematics, theorization, and hypothesis creation.

Ok so a physicist walks into a drug store (1960's era) and orders a soda. And at some point in his order the boy taking it asks what he does for a living, and he says "Well i'm a physicist" and so the boy says "Oh so you're a physisisisist," and he says yes, so the boy then asks him "OK Mr. phyisisisist wanna physisisisy soda?"