Not so evident to find the good process! Pieces are made in Moi then exported to free SketchUp Make 2017!
Physics Engine: MS Physics by Anton

Of course i can make the same (animation) with Elephant...

Difficulty is to find the method for the good angles following sizes...

https://moiscript.weebly.com/uploads/3/9/3/8/3938813/choco1_v6.skp
https://moiscript.weebly.com/uploads/3/9/3/8/3938813/choco1.3dm

debut avec 2 demi hexagones ( grand et plus petit )
tracé des arêtes et planar pour fermer
offset comme ça plait niveau epaisseur des pieces
tracé des aretes et planar
le tracé d'arete regle d'office le probleme d'angle ;)
aucun boolean ... tout en aretes à la main ;) comme un exercice à l'ancienne koi

Yep and all is made how is made the "Unfolding" ?
By hand rotation ?

ehbé ... unfold avec les outils à ta disposition ;)

coupe de 30° pour une rotation de 60°

etc... ou coupe de 15° pour une rotation de 30°

si tu veux que ça ressemble à un parapluie en parpaings ;)

ah sorry je n'avais pas vu ton modèle 3dm !!! j'ai vu SKP ... j'ai dit c'est koi ... format Skippy ? ! lol ( je ne m(interresse pas à sketchup )

ok

c'est rotations de 40°

dans la vue left selectionne les 3 pièces marron et rotation de 40° ... idem pour les 3 symétriques
puis vue de face sélectionne les 3 oièces marron et rotation de 40° ... idem pour les 3 symétriques

et si par malheur on s'amuse à faire tourner une SEULE pièce indépendamment des 2 autres ... là c'est le casse tête pour aligner ;)

"faire tourner une SEULE pièce indépendamment des 2 autres ... là c'est le casse tête pour aligner " ;)

"rotate a SINGLE piece independently from the 2 others ... an headache for align" ;)

No with Transform / Rotate Axis + Helper Lines in the same time it's a game's toy to rotate anything from anything with any aligment! ;)

donc c'est un jeu chiant .. c'est bon à savoir ... je ne le mettrai pas sur la liste au pere noel ;)

les pieces sont solidaires ... si tu en move une les 2 autres suivent

les numerotant de 1 à 9

1 - 2 - 3
4 - 5 - 6
7 - 8 - 9

bouge 4 puis 6 ( ça revient à faire ce qu'il y a sur ma 1ère image )
bouge 2 puis 8 ( .....................................................2ème ...... )

bref

It's the concept : select the objects
2 Clicks for the general Axis of rotation
helper line(s) for define the alignment desired from the first Point of the Object
2 Clicks for the final alignment! :)

And it's valuable for any rotation of anything on anything with any axis of rotation in the 3DSpace!

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 !

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! :)

chouette ! ça prend tournure ! ;)

Drawing of a big number of pieces are not so evident! :)

Maybe with an unfolding...from an existing surface...

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!

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! :)

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)

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!

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

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

But we have intuition that is maybe possible! :)