How to find points in 3D space?

Question

Mathematics

There is a point in space, let its coordinates be A(0, 0, 0). And if we imagine that the point Аis the center of the cube, then I would need to find four points that would be the centers of the four sides. Tell me, or rather show me how to find two of them. And it turns out that I am given angles, these are 0degrees 90and the length of a lengthsegment originating at a point is given А.

Answer 1

With your attitude towards the answerers, any desire to answer disappears, so I will answer vaguely ...
There is something to read, if two angles are known ... then a little linear algebra to find a point at a certain distance ... I would solve this problem exactly like this.

Answer 2

Well, if A(0,0,0) is the center, then the center of one face will be A(len,0,0). The other one - A(-len, 0 , 0) - is the opposite face. I think you will find others.
Then apply a rotation transformation about the center, and offset the center, if necessary.
Rotation and translation matrices - google it yourself, it's easy.

Answer 3

The coordinates of the cube's vertices in space are all possible three-digit numbers in the binary system.
Take this number. For example 0b000
is a point with coordinates (-l/2,-l/2,-l/2)

затем число 0b001 (-l/2,-l/2,+l/2)
затем число 0b010 (-l/2,+l/2,-l/2)
затем число 0b011 (-l/2,+l/2,+l/2)

Imagine the next plate yourself.