Angle Normal

Replies to This Discussion

Permalink Reply by Danny Boyes on July 28, 2014 at 3:03am

usually by its name....

I take you don't actually mean with reference to the surface itself. What do you want to measure it against? Unit Z? World Axis?

Permalink Reply by Rolf Schaafhausen on July 28, 2014 at 3:16am

Thank yuo for your quick answer.

In the small drawing you can see my question.

Thank You

Permalink Reply by Rolf Schaafhausen on July 28, 2014 at 3:19am

The lost drawing.

Permalink Reply by David Rutten on July 28, 2014 at 4:09am

The angle is always 90 degrees (or 0.5*Pi). That's how the normal is defined.

--

David Rutten

david@mcneel.com

Permalink Reply by Rolf Schaafhausen on July 28, 2014 at 4:46am

Hello Mr. Rutten,

thanks for the reply.

I have asked the question incorrectly. The drawing was wrong.
How can I determine the direction of the normal. The sides of the cube will be sorted.

The cube is to be dissolved in plates.

From the plates a cube to be built.

Thanks a lot
and best regards
Rolf Schaafhausen

Permalink Reply by Danny Boyes on July 28, 2014 at 6:43am

It is still unclear to me. Maybe you can take a step back and describe the the process that you want and its outcomes.

The angles that you depict in your images all appear to be 90º which is what a Normal is. But if, for instance, we were to say with reference to Unit Z i.e. straight up, the the top one would be 0º and the other two would be 90º but they are clearly in different directions. Therefore I think you probably want to classify the direction in terms of polar co-ordinates or by deconstructing the vectors. But without knowing your end goal I can't be certain.

Permalink Reply by Rolf Schaafhausen on July 28, 2014 at 7:19am

Hi Mr. Boyes,

my task is intended for model construction and a milling data should be created from a solid body.

- In Vectorworks a solid is produced.

- The volume of the body is called Surfaces exported as Rhino file and imported into Rhino.

- The Grasshopper script to generate the six components as in the last drawing.

- The ground is butt glued.

- All pages are reduced to half the material thickness in the Z direction.

- The sides that are parallel to the Y-axis are reduced from the center of the parts to material thickness.

- These parts will be cut from the X-parts of the fold out.

- The same should happen with the lid. The lid has at the end of a circumferential seam.

The direction of the normal I need for the selection of components, such as bottom, top, side in the X direction and Y direction.

I hope I could describe the task for Grasshopper better.

Thank you very much
R. Sch.

Permalink Reply by Danny Boyes on July 28, 2014 at 7:45am

Ok. So the process as I see it you need to place the sides of a cube into 4 categories.

• Top
• X Sides
• Y Sides
• Bottom

In which case I think it would be easy enough to create a Set of the Absolute Vectors and then sort the top and the bottom on the Z component of the centroid.

I don't seem to be able to upload the file

Permalink Reply by Danny Boyes on July 28, 2014 at 7:46am

Ning seems to be a little f'd up today.

In the above image I have actually sorted first and then categorised. 

Permalink Reply by Danny Boyes on July 28, 2014 at 7:48am

Here is the Hi res image as I cannot upload file

Permalink Reply by Rolf Schaafhausen on July 28, 2014 at 8:33am

Hello Mr. Boysen,

Thanks, but which went very quickly.

Your suggestion I have nachbebaut in GH and it works very well. I will incorporate into your script in order to understand the course.

Best regards
Rolf Schaafhausen