Need Help with 3d Alignment

[joshua_mora]

Hello

I’ve been using Rhino to design Stained Glass art, it’s very useful as the 2d drawings can represent the glass panels very well

Came across a complication now that I am making 3d pieces, I don’t know how to align the pieces in 3d plane.

I figured out a trick that has been “good enough” but it’s very time consuming and doesn’t work for more complex structures.

In the photos I raise the pentagons so they join at the corresponding angle, I end up drawing a reference line where I want them to join and then align them with 3d rotation as close to the line while using 2 Viewports.

They never fit perfect (by millimeters, which add up)

I kindly ask for help regarding 3d alignment of faces, I have heard of constraints (which I don’t know how to use) but maybe there is a more simple solution?

Thank you for your time, stay creative!

[gustojunk (Gustavo Fontana)]

I tried finding that intersection and snapping to it…

and then after that measuring where a rotated polygon falls…

if you ignore my file tolerances’ deviation the answer is 63.435 rotation needed

Steps below:
Finding_Don-Decahedro.3dm (221.6 KB)

I think this approach should be pretty scalable to most prismatic forms.

G

[joshua_mora]

Hi, thanks so much for the quick response.

Where did you learn to use those side menus?

I found them and I see there is a wide variety, now I want to learn to use them all hehe.

I’ll research videos, PDF & Forums.

Have a wonderful day/night

[gustojunk (Gustavo Fontana)]

I’ve learned most of it here. There’s a lot more that’s what’s on the menus. The off-menu commands lists is extensive too, with over 1000 long I think.

Have fun!

[Normand (Jakob Normand)]

Hi @joshua_mora
If you do a lot of these, it might be worth looking into Grasshopper/Kangaroo for this.
magnet snap assemble.gh (18.7 KB)

HTH, Jakob

[Tom_P]

don t want to be the lazy party pooper…
but there is a nice free plug-in to create polyhedra:

RhinoPolyhedra

[Tom_P]

math

@gustojunk

answer is 63.435

see dihedral angle (angle between two planes / planar faces / along edge)
here

Regular Dodecahedron -- from Wolfram MathWorld

calculation

you can use
_rotate3d
and enter the angle as commandline-calculation
acos(-1/5*sqrt(5))*180/Pi

construction

my approach would be to use arcs to construct intersection points to get the angle.

to draw the first initial (green) arc you can
either draw circle around curve ( which would require the blue construciton lines)
or use a c-plane and project Osnap (faster)

_mirror (cyan)

_intersect

_rotate3d

[gustojunk (Gustavo Fontana)]

@Tom_P

my approach would be to use arcs to construct intersection points to get the angle.

Yeah, much cleaner!

[clement]

@Tom_P

and enter the angle as commandline-calculation
acos(-1/5*sqrt(5))*180/Pi

Alternatively, for a Dodecahedron you could simplify and enter below as angle:

atan(2)*180/pi

i’m curious if constraints can be used in the WIP instead ?

_
c.

[joshua_mora]

This seems exactly like what I was looking for.

I say seems because going trough setting up everything I learned many things are not compatible with Rhino 5, including Kangaroo2

I can’t install Rhino 6 on my current pc because it is 32bit but I will try to fix my broken 64bit one.

I’ll comment how it goes If I make it work and post my results with the script.

Thank you so much, and for the video too!
To all others that answered too, much appreciated.

Happy creations!

[joshua_mora]

This sure seems interesting.

I don’t have much knowledge in math but I’ll research a bit to understand more fully, it gives insight on how to use the tools available in many different ways.

I will test this if my other pc doesn’t work, will check it out ven if it does, great practice

Thanks!