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From: corchet
oui voilà ! j'ai dû faire ce genre de manip ... mais sans en connaitre les détails .... quoi ... comme Mr Jourdain et sa prose ;)
( elle doit être cocasse traduite en anglais cette phrase pour qui ignore Mr Poquelin .... lol )
et donc j'ai bon pour ce qui est de " l'exercice d'été " ... faire tourner des bidules dans Moi !
From: Frenchy Pilou (PILOU)
Like this for example with 2 pieces (of 3) :)
But this is the first level!
Now with a new level around the existant! :=)
So 3 pieces (of 3)
then 12 pieces (of 3) more
then 20 (of 3) more
etc...
So Start angle must be reduced else pieces are overlaping! :)
From: corchet
chouette ! ça prend tournure ! ;)
From: Frenchy Pilou (PILOU)
Drawing of a big number of pieces are not so evident! :)
Maybe with an unfolding...from an existing surface...
From: Frenchy Pilou (PILOU)
To continue the exploration! :)
Maybe the Flow can be made in one pass...against two here
but as it's so simple like this...
Just to find the Formula of the draft "Angle"
Of course here the Start surface has all planar surfaces!
From: Frenchy Pilou (PILOU)
It appears that drawing a losange between each middle of a no planar rectangle
give a planar surface!
Then with intersection that gives the "rectangle planar" !
and verified by the planar function!
Alas if all rectangles are planar they are not aligned between them!
After it's a big headache maze to make each facet rectangular "jointive"!
After some consuming time! :)
Now all yellow facetts are planar with some functions like Orient Line/line...Trim...Scale etc...
Diagonal alignment is like an optic effect! :)
From: Frenchy Pilou (PILOU)
Problem is to make the alignment between them of numerous facets!
Maybe a trick is existing! :)
The best if of course to make from the begining directly a generative structure of "planar facets"
for avoid all this hand adjustment headache!
Who is not reasonable times consuming!
And here there are just 16 facets...in normal case that is more like 200 - 300! :)
Sorry the file with full alignment facets was not saved in 3dm format (so a good exercice! :)
only in SKP format! :(
https://moiscript.weebly.com/uploads/3/9/3/8/3938813/milieu.3dm (missing top alignment)
https://moiscript.weebly.com/uploads/3/9/3/8/3938813/end_precision.skp (full alignment)
From: Frenchy Pilou (PILOU)
A funny thing!
Each Red quad's struture is not "planar...
But losanges (from the middle of the quads as shown above are planar!
If you draw from each middle of a losange a closed polyline so a quad : this one will be also planar!
Triangles resultant are of course "planar" :)
So all elements of the surface under the Red structure is now planar!
From: Frenchy Pilou (PILOU)
A resultant problem for end holidays :)
Does always existing a Point P (x,y,z ) for make 4 planes P1, P2, P3, P4
from vertices A,B,C,D,E,F,G,H given on the 3D space ?
And how to find it ? ;)
https://moiscript.weebly.com/uploads/3/9/3/8/3938813/4_plans.3dm
From: bemfarmer
If point P exists, there would be 4 planar faces, P1...P4.
According to the link:
https://blender.stackexchange.com/questions/46113/how-to-make-all-quads-or-ngons-on-your-mesh-planar-2d
"when a vertex has more than 3 surrounding faces, their planar intersection does not necessarily exist - it would be actually very rate if it did:"
- Brian
From: Frenchy Pilou (PILOU)
But we have intuition that is maybe possible! :)
From: Rudl
Point
Attachments:
4_plans with point.3dm
From: Frenchy Pilou (PILOU)
Sorry i can't Planar this one in your file!
From: Phiro
I think it's not possible with your file.
P1, P2, P3, P4 are defined by 3pts for each as all planes 3 points define a plane.
P1 (A, B, H)
P2 (B, C, D)
P3 (D, E, F)
P4 (F, G, H)
The question is : does exist a point P which is on P1, P2, P3 and P4 ?
I think, we have two possibilities to determine it :
1/ Mathematical with a system of equations (each plane is determined by a equation) and its resolution.
2/ MOI (or CAD drawing)
if we do planes P1, P2, P3 and P4 with points A,B,C,D,E,F,G,H with their 3 points, we can do intersections of these 4 planes. If we have only a point... we win and have P !
With your file, the result is a small thetahedron... P does not exist.
My analysis. right or wrong ?
Image Attachments:
2020-08-21_18h58_20.png
From: Frenchy Pilou (PILOU)
I suppose yes because all edges A to H are "rigid" and that limits variation but in some cases we can make it...
I am waiting answer from a guy who has found a solution but i believe there is an artefact!
From: Frenchy Pilou (PILOU)
@ Rudl
With your file i can make it if i Up "E" on "Z" vertical by 0.05 unity! ;)
I will verify if i obtain the same with the original...
Ok I obtain the same result with the original... 0.05 unity :)
Maybe this distance can be reduced by taking another orientation than the Z vertical line?...
In any case for the moment this point P seems impossible with this given structure!
From: Frenchy Pilou (PILOU)
@Phiro
You seems right...the answer that i was waiting confirm your...there was a similar construction like mine above...
Point P with this structure seems not possible...very tiny but not..we must move slightly point E !
(so some others not shown here) :)
From: AlexPolo
Similar project with same workflow for a dome I did a while back.
I used RHINO UNROLL Command to flatten all faces.
Attachments:
Space Dome SHEETS.3dm
Image Attachments:
dome sheets.JPG
DOME2.JPG
From: Frenchy Pilou (PILOU)
3D world is a small planet! ;)
From: BurrMan
We have to be allowed to dice it up into more than 4 surfaces....
Attachments:
24_plans.zip
Image Attachments:
diced_more.jpg
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