Squaring a number gives you the surface area of a square, cubing a number gives you the volume of a square, what does 4thing a number give you in relation to squares? Does it give you a value that relates to some property of a 4th-dimensional shape that's an extension of cubes?
In theory, yes
>>9103916
[math]x^n[/math] gives the [math]n^{th}[/math] dimensional volume of that shape. We just have a special names for 2-D
>>9103916
>volume of a square
get out
In practice we have a bit of trouble finding a fourth spacial dimension to measure
>>9103916
Tesseract
>>9103954
Tesseract is a meme for retards who won't stop asking what a 4th-dimensional shape looks like.
Hyper volume
>>9103916
You can geometrically multiply lengths to get another length, not just an area. You just need the ability to draw parallel lines.
Pic: example of square-ing a length, X.
>>9103933
>time
>>9103916
>>9104360
Here's how to multiply two arbitrary lengths to get another length.
You can use this same technique to divide as well.
>>9103916
>surface area of a square
>>9104403
He didn't say *which* square...
>>9104365
Spatial.