I am trying to write code to bend a cut sheet to a defined path Examples attached Overall dimensions of the flat sheet should remain the same. The results are almost ok if the bend required is in one direction. But if the bend required in both y and x direction, it is a challenge. Any work done in this direction by anyone? If the logic could be shared Regards Sanjeev

I don't understand what you mean about a bend in both x and y directions. Once you have bent in one direction, bending in the other direction will be impossible without deformation of the shape. On Wed, Jan 4, 2023 at 9:31 PM Sanjeev Prabhakar <sprabhakar2006@gmail.com> wrote: > I am trying to write code to bend a cut sheet to a defined path > > Examples attached > > Overall dimensions of the flat sheet should remain the same. > > The results are almost ok if the bend required is in one direction. > > But if the bend required in both y and x direction, it is a challenge. > > Any work done in this direction by anyone? > > If the logic could be shared > > Regards > Sanjeev > > _______________________________________________ > OpenSCAD mailing list > To unsubscribe send an email to discuss-leave@lists.openscad.org >

Maybe bend the corners 45 degrees in the example images On Thu, 5 Jan, 2023, 8:21 am Adrian Mariano, <avm4@cornell.edu> wrote: > I don't understand what you mean about a bend in both x and y directions. > Once you have bent in one direction, bending in the other direction will be > impossible without deformation of the shape. > > On Wed, Jan 4, 2023 at 9:31 PM Sanjeev Prabhakar <sprabhakar2006@gmail.com> > wrote: > >> I am trying to write code to bend a cut sheet to a defined path >> >> Examples attached >> >> Overall dimensions of the flat sheet should remain the same. >> >> The results are almost ok if the bend required is in one direction. >> >> But if the bend required in both y and x direction, it is a challenge. >> >> Any work done in this direction by anyone? >> >> If the logic could be shared >> >> Regards >> Sanjeev >> >> _______________________________________________ >> OpenSCAD mailing list >> To unsubscribe send an email to discuss-leave@lists.openscad.org >> > _______________________________________________ > OpenSCAD mailing list > To unsubscribe send an email to discuss-leave@lists.openscad.org >

Not too long ago there was a discussion of origami folding of a model on this list, where a sequence of folds is applied. On Wed, Jan 4, 2023 at 10:26 PM Sanjeev Prabhakar <sprabhakar2006@gmail.com> wrote: > Maybe bend the corners 45 degrees in the example images > > On Thu, 5 Jan, 2023, 8:21 am Adrian Mariano, <avm4@cornell.edu> wrote: > >> I don't understand what you mean about a bend in both x and y >> directions. Once you have bent in one direction, bending in the other >> direction will be impossible without deformation of the shape. >> >> On Wed, Jan 4, 2023 at 9:31 PM Sanjeev Prabhakar < >> sprabhakar2006@gmail.com> wrote: >> >>> I am trying to write code to bend a cut sheet to a defined path >>> >>> Examples attached >>> >>> Overall dimensions of the flat sheet should remain the same. >>> >>> The results are almost ok if the bend required is in one direction. >>> >>> But if the bend required in both y and x direction, it is a challenge. >>> >>> Any work done in this direction by anyone? >>> >>> If the logic could be shared >>> >>> Regards >>> Sanjeev >>> >>> _______________________________________________ >>> OpenSCAD mailing list >>> To unsubscribe send an email to discuss-leave@lists.openscad.org >>> >> _______________________________________________ >> OpenSCAD mailing list >> To unsubscribe send an email to discuss-leave@lists.openscad.org >> > _______________________________________________ > OpenSCAD mailing list > To unsubscribe send an email to discuss-leave@lists.openscad.org >

I believe He is only talking About bending, Not folding. Bending ist Just a very little folding. Adrian Mariano <avm4@cornell.edu> schrieb am Do., 5. Jän. 2023, 05:19: > Not too long ago there was a discussion of origami folding of a model on > this list, where a sequence of folds is applied. > > On Wed, Jan 4, 2023 at 10:26 PM Sanjeev Prabhakar < > sprabhakar2006@gmail.com> wrote: > >> Maybe bend the corners 45 degrees in the example images >> >> On Thu, 5 Jan, 2023, 8:21 am Adrian Mariano, <avm4@cornell.edu> wrote: >> >>> I don't understand what you mean about a bend in both x and y >>> directions. Once you have bent in one direction, bending in the other >>> direction will be impossible without deformation of the shape. >>> >>> On Wed, Jan 4, 2023 at 9:31 PM Sanjeev Prabhakar < >>> sprabhakar2006@gmail.com> wrote: >>> >>>> I am trying to write code to bend a cut sheet to a defined path >>>> >>>> Examples attached >>>> >>>> Overall dimensions of the flat sheet should remain the same. >>>> >>>> The results are almost ok if the bend required is in one direction. >>>> >>>> But if the bend required in both y and x direction, it is a challenge. >>>> >>>> Any work done in this direction by anyone? >>>> >>>> If the logic could be shared >>>> >>>> Regards >>>> Sanjeev >>>> >>>> _______________________________________________ >>>> OpenSCAD mailing list >>>> To unsubscribe send an email to discuss-leave@lists.openscad.org >>>> >>> _______________________________________________ >>> OpenSCAD mailing list >>> To unsubscribe send an email to discuss-leave@lists.openscad.org >>> >> _______________________________________________ >> OpenSCAD mailing list >> To unsubscribe send an email to discuss-leave@lists.openscad.org >> > _______________________________________________ > OpenSCAD mailing list > To unsubscribe send an email to discuss-leave@lists.openscad.org >

this is what I meant On Thu, 5 Jan 2023 at 18:20, Guenther Sohler <guenther.sohler@gmail.com> wrote: > I believe He is only talking About bending, Not folding. Bending ist Just > a very little folding. > > Adrian Mariano <avm4@cornell.edu> schrieb am Do., 5. Jän. 2023, 05:19: > >> Not too long ago there was a discussion of origami folding of a model on >> this list, where a sequence of folds is applied. >> >> On Wed, Jan 4, 2023 at 10:26 PM Sanjeev Prabhakar < >> sprabhakar2006@gmail.com> wrote: >> >>> Maybe bend the corners 45 degrees in the example images >>> >>> On Thu, 5 Jan, 2023, 8:21 am Adrian Mariano, <avm4@cornell.edu> wrote: >>> >>>> I don't understand what you mean about a bend in both x and y >>>> directions. Once you have bent in one direction, bending in the other >>>> direction will be impossible without deformation of the shape. >>>> >>>> On Wed, Jan 4, 2023 at 9:31 PM Sanjeev Prabhakar < >>>> sprabhakar2006@gmail.com> wrote: >>>> >>>>> I am trying to write code to bend a cut sheet to a defined path >>>>> >>>>> Examples attached >>>>> >>>>> Overall dimensions of the flat sheet should remain the same. >>>>> >>>>> The results are almost ok if the bend required is in one direction. >>>>> >>>>> But if the bend required in both y and x direction, it is a challenge. >>>>> >>>>> Any work done in this direction by anyone? >>>>> >>>>> If the logic could be shared >>>>> >>>>> Regards >>>>> Sanjeev >>>>> >>>>> _______________________________________________ >>>>> OpenSCAD mailing list >>>>> To unsubscribe send an email to discuss-leave@lists.openscad.org >>>>> >>>> _______________________________________________ >>>> OpenSCAD mailing list >>>> To unsubscribe send an email to discuss-leave@lists.openscad.org >>>> >>> _______________________________________________ >>> OpenSCAD mailing list >>> To unsubscribe send an email to discuss-leave@lists.openscad.org >>> >> _______________________________________________ >> OpenSCAD mailing list >> To unsubscribe send an email to discuss-leave@lists.openscad.org >> > _______________________________________________ > OpenSCAD mailing list > To unsubscribe send an email to discuss-leave@lists.openscad.org >

Roger. 

On Thu, Jan 05, 2023 at 06:53:48PM +0530, Sanjeev Prabhakar wrote: > this is what I meant Still, when you bend (= very little folding) a flat piece of material in one axis it needs to be deformed (stretched/compressed) to be able to bend in the other axis. Consider the other way around: cartographers have struggled for centuries to "bend" the shape of the earth onto a flat piece of paper. There is always som stretching and compressing going on. Roger. > On Thu, 5 Jan 2023 at 18:20, Guenther Sohler <guenther.sohler@gmail.com> > wrote: > > > I believe He is only talking About bending, Not folding. Bending ist Just > > a very little folding. > > > > Adrian Mariano <avm4@cornell.edu> schrieb am Do., 5. Jän. 2023, 05:19: > > > >> Not too long ago there was a discussion of origami folding of a model on > >> this list, where a sequence of folds is applied. > >> > >> On Wed, Jan 4, 2023 at 10:26 PM Sanjeev Prabhakar < > >> sprabhakar2006@gmail.com> wrote: > >> > >>> Maybe bend the corners 45 degrees in the example images > >>> > >>> On Thu, 5 Jan, 2023, 8:21 am Adrian Mariano, <avm4@cornell.edu> wrote: > >>> > >>>> I don't understand what you mean about a bend in both x and y > >>>> directions. Once you have bent in one direction, bending in the other > >>>> direction will be impossible without deformation of the shape. > >>>> > >>>> On Wed, Jan 4, 2023 at 9:31 PM Sanjeev Prabhakar < > >>>> sprabhakar2006@gmail.com> wrote: > >>>> > >>>>> I am trying to write code to bend a cut sheet to a defined path > >>>>> > >>>>> Examples attached > >>>>> > >>>>> Overall dimensions of the flat sheet should remain the same. > >>>>> > >>>>> The results are almost ok if the bend required is in one direction. > >>>>> > >>>>> But if the bend required in both y and x direction, it is a challenge. > >>>>> > >>>>> Any work done in this direction by anyone? > >>>>> > >>>>> If the logic could be shared > >>>>> > >>>>> Regards > >>>>> Sanjeev > >>>>> > >>>>> _______________________________________________ > >>>>> OpenSCAD mailing list > >>>>> To unsubscribe send an email to discuss-leave@lists.openscad.org > >>>>> > >>>> _______________________________________________ > >>>> OpenSCAD mailing list > >>>> To unsubscribe send an email to discuss-leave@lists.openscad.org > >>>> > >>> _______________________________________________ > >>> OpenSCAD mailing list > >>> To unsubscribe send an email to discuss-leave@lists.openscad.org > >>> > >> _______________________________________________ > >> OpenSCAD mailing list > >> To unsubscribe send an email to discuss-leave@lists.openscad.org > >> > > _______________________________________________ > > OpenSCAD mailing list > > To unsubscribe send an email to discuss-leave@lists.openscad.org > > > _______________________________________________ > OpenSCAD mailing list > To unsubscribe send an email to discuss-leave@lists.openscad.org -- ** R.E.Wolff@BitWizard.nl ** https://www.BitWizard.nl/ ** +31-15-2049110 ** ** Delftechpark 11 2628 XJ Delft, The Netherlands. KVK: 27239233 ** f equals m times a. When your f is steady, and your m is going down your a is going up. -- Chris Hadfield about flying up the space shuttle.

     Roger.

You can put a flat sheet of metal between two 3D printed forms in a press and deform it into a 3D shape. It stretches in places and must get a bit thinner. Good luck modelling that. On Thu, 5 Jan 2023 at 16:38, Rogier Wolff <R.E.Wolff@bitwizard.nl> wrote: > On Thu, Jan 05, 2023 at 06:53:48PM +0530, Sanjeev Prabhakar wrote: > > this is what I meant > > Still, when you bend (= very little folding) a flat piece of material > in one axis it needs to be deformed (stretched/compressed) to be able > to bend in the other axis. > > Consider the other way around: cartographers have struggled for > centuries to "bend" the shape of the earth onto a flat piece of > paper. There is always som stretching and compressing going on. > > Roger. > > > > > On Thu, 5 Jan 2023 at 18:20, Guenther Sohler <guenther.sohler@gmail.com> > > wrote: > > > > > I believe He is only talking About bending, Not folding. Bending ist > Just > > > a very little folding. > > > > > > Adrian Mariano <avm4@cornell.edu> schrieb am Do., 5. Jän. 2023, 05:19: > > > > > >> Not too long ago there was a discussion of origami folding of a model > on > > >> this list, where a sequence of folds is applied. > > >> > > >> On Wed, Jan 4, 2023 at 10:26 PM Sanjeev Prabhakar < > > >> sprabhakar2006@gmail.com> wrote: > > >> > > >>> Maybe bend the corners 45 degrees in the example images > > >>> > > >>> On Thu, 5 Jan, 2023, 8:21 am Adrian Mariano, <avm4@cornell.edu> > wrote: > > >>> > > >>>> I don't understand what you mean about a bend in both x and y > > >>>> directions. Once you have bent in one direction, bending in the > other > > >>>> direction will be impossible without deformation of the shape. > > >>>> > > >>>> On Wed, Jan 4, 2023 at 9:31 PM Sanjeev Prabhakar < > > >>>> sprabhakar2006@gmail.com> wrote: > > >>>> > > >>>>> I am trying to write code to bend a cut sheet to a defined path > > >>>>> > > >>>>> Examples attached > > >>>>> > > >>>>> Overall dimensions of the flat sheet should remain the same. > > >>>>> > > >>>>> The results are almost ok if the bend required is in one direction. > > >>>>> > > >>>>> But if the bend required in both y and x direction, it is a > challenge. > > >>>>> > > >>>>> Any work done in this direction by anyone? > > >>>>> > > >>>>> If the logic could be shared > > >>>>> > > >>>>> Regards > > >>>>> Sanjeev > > >>>>> > > >>>>> _______________________________________________ > > >>>>> OpenSCAD mailing list > > >>>>> To unsubscribe send an email to discuss-leave@lists.openscad.org > > >>>>> > > >>>> _______________________________________________ > > >>>> OpenSCAD mailing list > > >>>> To unsubscribe send an email to discuss-leave@lists.openscad.org > > >>>> > > >>> _______________________________________________ > > >>> OpenSCAD mailing list > > >>> To unsubscribe send an email to discuss-leave@lists.openscad.org > > >>> > > >> _______________________________________________ > > >> OpenSCAD mailing list > > >> To unsubscribe send an email to discuss-leave@lists.openscad.org > > >> > > > _______________________________________________ > > > OpenSCAD mailing list > > > To unsubscribe send an email to discuss-leave@lists.openscad.org > > > > > > > _______________________________________________ > > OpenSCAD mailing list > > To unsubscribe send an email to discuss-leave@lists.openscad.org > > > -- > ** R.E.Wolff@BitWizard.nl ** https://www.BitWizard.nl/ ** +31-15-2049110 > ** > ** Delftechpark 11 2628 XJ Delft, The Netherlands. KVK: 27239233 ** > f equals m times a. When your f is steady, and your m is going down > your a is going up. -- Chris Hadfield about flying up the space shuttle. > _______________________________________________ > OpenSCAD mailing list > To unsubscribe send an email to discuss-leave@lists.openscad.org >

     Roger.

You can make several folds if you do them locally as in Sanjeev's last posted example. Or if you fold the material over itself so it becomes planar again. Arguably the problem of projecting the sphere onto the plane is not really the same problem as folding. Depending on how "folding" is defined you might be able to do it to an arbitrary shape. For example, say you define a fold axis and a plane and deform the input around that axis relative to the plane. I think you can do that process repeatedly to a model with a sequence of folds, similar to how the previously posted folding approach worked. Yes, there will be deformation at the folds, and possibly lots of deformation if the model isn't close to the plane you give. On Thu, Jan 5, 2023 at 11:39 AM Rogier Wolff <R.E.Wolff@bitwizard.nl> wrote: > On Thu, Jan 05, 2023 at 06:53:48PM +0530, Sanjeev Prabhakar wrote: > > this is what I meant > > Still, when you bend (= very little folding) a flat piece of material > in one axis it needs to be deformed (stretched/compressed) to be able > to bend in the other axis. > > Consider the other way around: cartographers have struggled for > centuries to "bend" the shape of the earth onto a flat piece of > paper. There is always som stretching and compressing going on. > > Roger. > > > > > On Thu, 5 Jan 2023 at 18:20, Guenther Sohler <guenther.sohler@gmail.com> > > wrote: > > > > > I believe He is only talking About bending, Not folding. Bending ist > Just > > > a very little folding. > > > > > > Adrian Mariano <avm4@cornell.edu> schrieb am Do., 5. Jän. 2023, 05:19: > > > > > >> Not too long ago there was a discussion of origami folding of a model > on > > >> this list, where a sequence of folds is applied. > > >> > > >> On Wed, Jan 4, 2023 at 10:26 PM Sanjeev Prabhakar < > > >> sprabhakar2006@gmail.com> wrote: > > >> > > >>> Maybe bend the corners 45 degrees in the example images > > >>> > > >>> On Thu, 5 Jan, 2023, 8:21 am Adrian Mariano, <avm4@cornell.edu> > wrote: > > >>> > > >>>> I don't understand what you mean about a bend in both x and y > > >>>> directions. Once you have bent in one direction, bending in the > other > > >>>> direction will be impossible without deformation of the shape. > > >>>> > > >>>> On Wed, Jan 4, 2023 at 9:31 PM Sanjeev Prabhakar < > > >>>> sprabhakar2006@gmail.com> wrote: > > >>>> > > >>>>> I am trying to write code to bend a cut sheet to a defined path > > >>>>> > > >>>>> Examples attached > > >>>>> > > >>>>> Overall dimensions of the flat sheet should remain the same. > > >>>>> > > >>>>> The results are almost ok if the bend required is in one direction. > > >>>>> > > >>>>> But if the bend required in both y and x direction, it is a > challenge. > > >>>>> > > >>>>> Any work done in this direction by anyone? > > >>>>> > > >>>>> If the logic could be shared > > >>>>> > > >>>>> Regards > > >>>>> Sanjeev > > >>>>> > > >>>>> _______________________________________________ > > >>>>> OpenSCAD mailing list > > >>>>> To unsubscribe send an email to discuss-leave@lists.openscad.org > > >>>>> > > >>>> _______________________________________________ > > >>>> OpenSCAD mailing list > > >>>> To unsubscribe send an email to discuss-leave@lists.openscad.org > > >>>> > > >>> _______________________________________________ > > >>> OpenSCAD mailing list > > >>> To unsubscribe send an email to discuss-leave@lists.openscad.org > > >>> > > >> _______________________________________________ > > >> OpenSCAD mailing list > > >> To unsubscribe send an email to discuss-leave@lists.openscad.org > > >> > > > _______________________________________________ > > > OpenSCAD mailing list > > > To unsubscribe send an email to discuss-leave@lists.openscad.org > > > > > > > _______________________________________________ > > OpenSCAD mailing list > > To unsubscribe send an email to discuss-leave@lists.openscad.org > > > -- > ** R.E.Wolff@BitWizard.nl ** https://www.BitWizard.nl/ ** +31-15-2049110 > ** > ** Delftechpark 11 2628 XJ Delft, The Netherlands. KVK: 27239233 ** > f equals m times a. When your f is steady, and your m is going down > your a is going up. -- Chris Hadfield about flying up the space shuttle. > _______________________________________________ > OpenSCAD mailing list > To unsubscribe send an email to discuss-leave@lists.openscad.org >

     Roger.

you maybe right about the deformation to some extent, but right now how to model the bend without deformation or thinning keeping the size of the blank same is what I am looking for. a sequential bending approach works for any angle of bend it seems. Thanks On Fri, 6 Jan 2023 at 00:16, nop head <nop.head@gmail.com> wrote: > You can put a flat sheet of metal between two 3D printed forms in a press > and deform it into a 3D shape. It stretches in places and must get a bit > thinner. Good luck modelling that. > > On Thu, 5 Jan 2023 at 16:38, Rogier Wolff <R.E.Wolff@bitwizard.nl> wrote: > >> On Thu, Jan 05, 2023 at 06:53:48PM +0530, Sanjeev Prabhakar wrote: >> > this is what I meant >> >> Still, when you bend (= very little folding) a flat piece of material >> in one axis it needs to be deformed (stretched/compressed) to be able >> to bend in the other axis. >> >> Consider the other way around: cartographers have struggled for >> centuries to "bend" the shape of the earth onto a flat piece of >> paper. There is always som stretching and compressing going on. >> >> Roger. >> >> >> >> > On Thu, 5 Jan 2023 at 18:20, Guenther Sohler <guenther.sohler@gmail.com >> > >> > wrote: >> > >> > > I believe He is only talking About bending, Not folding. Bending ist >> Just >> > > a very little folding. >> > > >> > > Adrian Mariano <avm4@cornell.edu> schrieb am Do., 5. Jän. 2023, >> 05:19: >> > > >> > >> Not too long ago there was a discussion of origami folding of a >> model on >> > >> this list, where a sequence of folds is applied. >> > >> >> > >> On Wed, Jan 4, 2023 at 10:26 PM Sanjeev Prabhakar < >> > >> sprabhakar2006@gmail.com> wrote: >> > >> >> > >>> Maybe bend the corners 45 degrees in the example images >> > >>> >> > >>> On Thu, 5 Jan, 2023, 8:21 am Adrian Mariano, <avm4@cornell.edu> >> wrote: >> > >>> >> > >>>> I don't understand what you mean about a bend in both x and y >> > >>>> directions. Once you have bent in one direction, bending in the >> other >> > >>>> direction will be impossible without deformation of the shape. >> > >>>> >> > >>>> On Wed, Jan 4, 2023 at 9:31 PM Sanjeev Prabhakar < >> > >>>> sprabhakar2006@gmail.com> wrote: >> > >>>> >> > >>>>> I am trying to write code to bend a cut sheet to a defined path >> > >>>>> >> > >>>>> Examples attached >> > >>>>> >> > >>>>> Overall dimensions of the flat sheet should remain the same. >> > >>>>> >> > >>>>> The results are almost ok if the bend required is in one >> direction. >> > >>>>> >> > >>>>> But if the bend required in both y and x direction, it is a >> challenge. >> > >>>>> >> > >>>>> Any work done in this direction by anyone? >> > >>>>> >> > >>>>> If the logic could be shared >> > >>>>> >> > >>>>> Regards >> > >>>>> Sanjeev >> > >>>>> >> > >>>>> _______________________________________________ >> > >>>>> OpenSCAD mailing list >> > >>>>> To unsubscribe send an email to discuss-leave@lists.openscad.org >> > >>>>> >> > >>>> _______________________________________________ >> > >>>> OpenSCAD mailing list >> > >>>> To unsubscribe send an email to discuss-leave@lists.openscad.org >> > >>>> >> > >>> _______________________________________________ >> > >>> OpenSCAD mailing list >> > >>> To unsubscribe send an email to discuss-leave@lists.openscad.org >> > >>> >> > >> _______________________________________________ >> > >> OpenSCAD mailing list >> > >> To unsubscribe send an email to discuss-leave@lists.openscad.org >> > >> >> > > _______________________________________________ >> > > OpenSCAD mailing list >> > > To unsubscribe send an email to discuss-leave@lists.openscad.org >> > > >> >> >> > _______________________________________________ >> > OpenSCAD mailing list >> > To unsubscribe send an email to discuss-leave@lists.openscad.org >> >> >> -- >> ** R.E.Wolff@BitWizard.nl ** https://www.BitWizard.nl/ ** +31-15-2049110 >> ** >> ** Delftechpark 11 2628 XJ Delft, The Netherlands. KVK: 27239233 >> ** >> f equals m times a. When your f is steady, and your m is going down >> your a is going up. -- Chris Hadfield about flying up the space shuttle. >> _______________________________________________ >> OpenSCAD mailing list >> To unsubscribe send an email to discuss-leave@lists.openscad.org >> > _______________________________________________ > OpenSCAD mailing list > To unsubscribe send an email to discuss-leave@lists.openscad.org >