Centered cubes: centered_cube

### 14.17.2 Centered cubes: centered_cube

The centered_cube command draws a cube.

- centered_cube takes three arguments:
  A,B,C, three points.
- centered_cube(A,B,C) returns and draws the cube centered at A with a vertex at B and plane of symmetry ABC. This plane of symmetry has an edge of the cube containing B, the other endpoint of this edge is on the same side of line AB as C.

#### Examples.

- Input:
  centered_cube([0,0,0],[3,3,3],[0,1,0])
  Output:
- Input:
  centered_cube([0,0,0],[3,3,3],[0,-1,0])
  Output:

Note that there are two cubes centered at A with a vertex at B and with a plane of symmetry ABC. Each cube has an edge containing B that’s contained in plane of symmetry, these edges are on opposite sides of the line AB. The cube that cube(A,B,C) returns is the cube whose edge is on the same side of AB as the point C.