Hello everyone,

I am new on this forum, and please to join your community.
As part of a project, I try to design an assembly made of surfaces with different parameters and global variables (number of folding elements along the height and the circumference, angles, radius and height of the cone ...) to get a model of a foldable cone (origami like the one below) that enable to show the folding and the unfolding :

The Whirlwind - An iPhone horn speaker and stand that fits in you wallet! : The horn - part one 

ASME DC | Journal of Mechanical Design | Mathematical Approach to Model Foldable Conical Structures Using Conformal Mapp…

The method explain the mathematics and how to get the angle parameters for a structure that closes and can be flat-foldable. I think it is impossible to do without reading it...

Currently in internship, I work with a team of students on the design of an inflatable space conical antenna (PICARD project - REXUS). I am inspiring by the publication entitled "Mathematical Approach to Model Foldable Conical Structures Using Conformal Mapping" to find a good way to flat-fold our antenna. This is not simple... a lot of different crease patterns can be used and the mathematics give me a hard time ...

I'm not sure how to do it with Solidworks... I have yet tried to do this conical structure using circular pattern function given the geometrical properties of the structure. But without convincing results ...
I would then use the mesh to simulate the deployment of the structure under-inflation on another software.

If someone has an idea or a method to recommend, I would appreciate it.
Also if anyone is interested in the subject (Origami and Cone), I am also currently looking for a partner to deal with some mathematical points of the Japanese method that bother me for weeks and improve my work... I develop in parallel a Matlab GUI in order to obtain different patterns that can be consider for the folding. I'm ready to share my work and all the documents I have accumulated so far.

Thank you

Here is what I try to compute on Matlab, but I think it doesn't repsect the mathematics of a natural folding....

Is this at least feasible with Solidworks ?