Rotation Script

Replies to This Discussion

Permalink Reply by Fred Becquelin on May 12, 2014 at 3:36am

Angle in 3d are always positive and in [0, PI].

You need to supply a plane to get an oriented angle (think of the argument of a complex number...)

Permalink Reply by djordje on May 12, 2014 at 3:42am

You're right. I can not. I apologize for that.
For some reason the plane's z axis gets flipped once you pass the pi angle:

Attachments:

• vector_angle.gh, 16 KB

Permalink Reply by Danny Boyes on May 12, 2014 at 4:19am

It boils down to this. Whenever you measure the angle between 2 vectors and generate the plane from the same two vectors you will get a 0 to PI. If you then measure a third vector but use the Plane based on the first two you can have anything from 0 to 2*PI.

Permalink Reply by Richard Schaffranek on May 13, 2014 at 3:20am

To clarify this a little further:

When generating the plane from the crossProdukt(A,B) and than measuring the angleBetween(A,B) you get a angle between 0 and PI

but when computing the angleBetween(B,A) using the same crossProdukt vector you get an angle between Pi and 2*PI...

So the orientation of the plane Normal is of essence!

Again:

http://stackoverflow.com/questions/5188561/signed-angle-between-two...

Permalink Reply by Gabriella Rossi on March 7, 2017 at 6:58am

thank you!

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