# Solved How to calculate a rectangle corners position depending on her rotation

Hi,

I'm searching how to calculate a rectangle corners position depending on the rectangle rotation.
below a simple example to illustrate what I want to do:

``````# Rectangle size
width = 200
height = 100

# Rectangle Coordinate
rec_pos = Vector(0,0,0)
rec_rot = Vector(0,0,0)

# Calculate corners position when rectangle rotation = Vector(0,0,0)
x_pos = width/2
y_pos = height/2

top_left_corner = Vector(rec_pos.x - x_pos, rec_pos.y + y_pos, rec_pos.z)
top_right_corner = Vector(rec_pos.x + x_pos, rec_pos.y + y_pos, rec_pos.z)
bottom_left_corner = Vector(rec_pos.x - x_pos, rec_pos.y - y_pos, rec_pos.z)
bottom_right_corner = Vector(rec_pos.x + x_pos, rec_pos.y - y_pos, rec_pos.z)

# Calculate corners position when rectangle rotation != Vector(0,0,0)
# example
rec_pos = Vector(0,0,0)
rec_rot = Vector(90, 30, 0)

top_left_corner =  ?
top_right_corner =  ?
bottom_left_corner = ?
bottom_right_corner =  ?

``````

Thanks

Hi,

you will need a rotation matrix for that. There is `c4d.utils.HPBToMatrix()` which lets you construct a rotation matrix from a rotation vector, the input however is expected in radians and not in degrees. The rotated point is then `p_rot = HPBToMatrix(angles) * p`.

Cheers
zipit

MAXON SDK Specialist
developers.maxon.net

Hi,

you will need a rotation matrix for that. There is `c4d.utils.HPBToMatrix()` which lets you construct a rotation matrix from a rotation vector, the input however is expected in radians and not in degrees. The rotated point is then `p_rot = HPBToMatrix(angles) * p`.

Cheers
zipit

MAXON SDK Specialist
developers.maxon.net

Hi @mfersaoui thanks for reaching out us and thanks @zipit for the given answer.

On top of zipit's answer I recommend to check that the values first are set in radians and second that the proper rotation order set is selected otherwise you can easily end up with unexpected results.

Cheers, R

@zipit
Hi, Thanks @zipit and @r_gigante for your answers.

I tried with HPBToMatrix but that works only if rectangle has as position Vector(0,0,0), but when the rectangle position change this doesn't work. Or I misused the HPBToMatrix function.

Here is .c4d scene example: HPBToMatrix.c4d
in my example the rectangle is replaced by a light object

Hi,

you will need to set the offset of the matrix returned by the function to the offset of your rectangle or translate your points manually into the desired frame of reference.

Cheers,
zipit

MAXON SDK Specialist
developers.maxon.net

@zipit
Hi, Thank you so much.