rotation of vertices (and maybe math utils?)

hi there,
please, can someone help me?
imagine i have a few vertices and i want them to transform (rotate) from [0,0,3] to [2,2,1]. how? in python…
thank you in advance!

you can’t rotate vertices. they’re just vectors.

well, maybe i expressed not very well…
there is e.g. a cube which stands on one of its own vertices. this one is [0,0,0].
exactly the opposide one lies on the z axis, let’s say [0,0,3].
now i want to grab the seconds one [0,0,3] and as i transform(rotate) it i want the remaining vertices to move accordingly or proportionaly so the all vertices together will still form the cube.
so the [0,0,0] will stay on its place

and i only know the coordinates of those old vertices and the coordinates of where i want the second one (the most upper one, [0,0,3]) to be.

a picture is worth thousand words:


    ^ [0,0,3] -----
   / \            |
  /   \           |
  \   /           v [the new positions]
  |\ /|
  | V |
  | | |
  \ | /
   \|/
    V [0,0,0]

how to calculate the coordinates of the others?
is there a simple method? can be mathutils of any help?
help.

Something like:


def rotate(self, vertices, axis, angle):
  rotation = RotationMatrix(angle, 4, "r", axis)
  return [MatMultVec(rotation, vertex) for vertex in vertices]

where axis and vertices are Mathutils vectors.

thank you for your answer. unfortunately (hope you dont kill me):

is the “axis” normal vector perpendicular to eg [0,0,3] and [new,new,new] and the angle a dot product of those?

if so, is it ok that i dont know if the angle is positive or negative? (because dot product is cos angle)

or is there another way?