I'm looking for the simplest equation to draw a cube based on its center and/or other verticies specified.
For example, let's say I have the 3D column vector (as I'm using OpenGL to do this):
x_3 y_1 z_4
I would like to specify and fill in its remaining vertices from this coordinate. I know there is a formula to do this for a square, albeit I can't seem to find it. If this is simply not possible (due to too little information), what's the simplest way to perform this?
Mind you, I have taken a look at this, although it appears to be dealing with 2-dimensional vertices/vectors rather than 3-dimensional ones. I'm using 3D entirely to build what I'm trying to build.
Thus, is this possible? If not, what are the minimum amounts of vertices which need to be given, along with the simplest equation to "fill in the gaps", so to speak?
Common sense has revealed to me that this is impossible (duh). However, something tells me that it's possible to specify the center of a cube, along with its floating point mass, and compute the verticies from there. What is the formula for this?
Note: the edge length of a cube and its center point are givens.