Hi Claudio,

how do you know the panels in the Foster design are all identical?


Panelling with identical panels is a very complicated area of
geometry. There are a number of obvious solutions:

- rectangular, triangular and hexagonal planar grids)
- icosahedrons and other platonic solids
- singly-curved surfaces with rectangular panels (this one only works
for identical panel shape, not joint-angle)
- special cases where the underlying surface is a direct emergent
result of the panel geometry (for example penrose tilings)

And then there are weird special cases.

I found that many architects/engineers who face a facade-panelling
problem don't even try and come up with a single panel solution.
Instead, they try and minimize the number of different panels they
need to build the whole shape more or less accurately. This is always
a per-project problem that requires a per-project solution. Sometimes
they'll even design the panel and the underlying surface at the same
time, which gives you much more possibilities for solutions.


--
David Rutten
da...@mcneel.com
Robert McNeel & Associates



On Mar 31, 12:23 pm, Claudio <claudioarch...@gmail.com> wrote:
> Hi David,
>
> Can you please be more specific, In which cases this can be possible?
> I'm also iterested in diving a surface with identical panels. Please
> refer to this article for an exemple 
> :http://www.detail.de/rw_5_Archive_En_HoleArtikel_5990_Artikel.htm
> And the architects website 
> :http://www.fosterandpartners.com/Projects/1276/Default.aspx
>
> In this case the roof has been divided with a glass pane responding to
> a very simple rule called Tetragonal crystal system. (http://
> en.wikipedia.org/wiki/Tetragonal_crystal_system).  I guess the
> curvature of the surface is a critical parameter in this case.
>
> I'll be more then happy to continue this subject
>
> Thank you all
>
> On Mar 30, 4:06 pm, David Rutten <da...@mcneel.com> wrote:
>
> > Hi Steve,
>
> > creating a filling pattern with identical panels is only possible in a
> > very small subset of cases.
> > It's also impossible to create a closed pattern of hexagons on a
> > freeform surface, unless you allow the hexagons to be non-symmetrical.
>
> > --
> > David Rutten
> > da...@mcneel.com
> > Robert McNeel & Associates
>
> > On Mar 30, 2:35 am, Steve Townsend <stownsend_...@hotmail.com> wrote:
>
> > > Hi, I am very new to grasshopper and beginning to get my head around
> > > how to do things.
>
> > > The main thing I am trying to achieve is a curving surface made up of
> > > a hexagonal grid (or even better equillateral triangles) that
> > > redefines itself when the surface changes shape.
>
> > > An example of the sort of thing i wish to 
> > > achieve:http://3.bp.blogspot.com/_pYWndsXyWeQ/Sb3_MS2utmI/AAAAAAAAChw/Z7dZW1y...
>
> > > I have followed the diagrid and panelling tutorials in the primer but
> > > I need to create a grid where all panels are of identical size.
>
> > > Please could someone point me in the right direction of a way in which
> > > I might achieve this? Does anyone know of any tutorials along these
> > > lines?
>
> > > Many thanks,
>
> > > Steve Townsend

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