Support structures derived from parallel polyhedral meshes

Hello Friends
I read this paragraph from the article on architectural geometry
"Torsion-free support structures derived from parallel polyhedral meshes. For any pair M, M ‘of offset meshes at distance d we may define a Gauss image mesh (S = (1 / d) (M’- M)) by vertex- wise linear combination, which is again parallel to M, M '.
If the distance is measured between faces (resp., Vertices) then S is tangentially circumscribed to (resp. Inscribed in) the unit sphere. Conversely, if M, S are given, M ‘is reconstructed as M’ = M + dS.
This construction establishes a link to discrete differential geometry. S is a polyhedral surface playing much the same role as the continuous Gauss image, i.e. the unit normal vector field, in continuous differential geometry [80,15]. It applies not only to the two special kinds of offsets mentioned here, but also to all cases where meshes M, M 'are parallel and at approximately constant distance from each other. The vertices of S represent a collection of normal vectors associated with the corresponding vertices of M. "

But I did not understand anything.
I wanted M, M 'and S to better understand the 3D image

Thank you very much

it is always better to also give the reference of the original paper.

But I am quite sure @DanielPiker already gave a way to do what is described there.
Surely there

1 Like