spidron...

Replies to This Discussion

Permalink Reply by dohyuna on November 24, 2015 at 8:59pm

help me~

Permalink Reply by Nik Willmore on November 27, 2015 at 3:30pm

I'm thinking about it.... It seems this is just a parlor trick actually, of using standard 2D tiling polygon and 3D polyhedron polygons being replaced by fancy angular forms. I guess it's a bit more complicated, limited by paper folding geometry:

http://www.spidron.hu/main.html

http://edan.szinhaz.org/SpidroNew/

http://spidron.hu/archispidron/

Still, perhaps it can be hacked together by just replacing 2D or 3D polygons with fancy 3D tiles?

In the above image, they have simply flipped adjacent tiles up or down to add variety, for instance, as the original *flat* hexagonal grid remains intact between the 3D tiles:

Even the original edges seem intact here, not having been replaced by something 3D fancy.

Permalink Reply by Nik Willmore on November 27, 2015 at 3:52pm

Likewise, a cube, and there are both in/out and rotational options for each oddly shaped 3D tile:

The folded paper origin of these always seems to have a symmetrical dividing line in the middle that suggests many of these models will indeed retain the original flat polygons:

I don't know yet if they are flexible and can be transformed to be bigger and shallow versus smaller and deeper for each face tile, like this perhaps?:

Permalink Reply by Nik Willmore on November 27, 2015 at 4:12pm

I can't tell yet if the original polygons are in any way retained as the 3D tiles collapse and expand:

I guess not, they do buckle, in uniform fashion. There may still be a core polygon that could define its placement though, to create polyhedra.

Next question, does it just buckle like cyclohexane or also twist?

I don't see any twisting in this animated GIF, but indeed a cyclohexane structure, that goes both ways away from a flat hexagon:

Given that buckled hexagon outline, the rest of the 3D sculpture is sort of just along for the ride, possibly simplifying what needs to be dynamically modeled in Grasshopper since once you have the polygon outline flexing, the rest can be added later from a library of flat folding models on the construction plane for each polygon type.