Six Pentagrams #2
The first 6 pentagrams model has icosahedral symmetry. Multiple people have discovered it independently, and it follows the same well known weaving pattern as many other models. This model of 6 pentagrams however, has octahedral edge symmetry. The pattern is comprised of 8 triangles and 24 squares, and the geometry somewhat warps each star a little bit from being flat. I believe this is a new weaving geometry that hasn't been used in previous models.
To fold this, I used Francesco Mancini's unit design for his 6P1 and just wove them the way I wanted instead. Anyone who wants to duplicate this can follow his unit diagrams and then try to weave it from my pictures.
One helpful hint for assembly is to note that most pairs of two stars are not independently linked (in 6P1, every pair is linked). Another hint is that the assembly has chiral symmetry. If these hints and photos end up not being enough, I can upload a weaving schematic later if requested.
I believe it is the last origin-centric, single-loop woven model with octahedral symmetry and identical frames (there are only 3, XYZ, WXYZ, and this). It is also the first of a series of woven designs based on a chiral octahedral geometry set based on using only triangles and squares. I can upload nets of other designs later.
Six Pentagrams #2
The first 6 pentagrams model has icosahedral symmetry. Multiple people have discovered it independently, and it follows the same well known weaving pattern as many other models. This model of 6 pentagrams however, has octahedral edge symmetry. The pattern is comprised of 8 triangles and 24 squares, and the geometry somewhat warps each star a little bit from being flat. I believe this is a new weaving geometry that hasn't been used in previous models.
To fold this, I used Francesco Mancini's unit design for his 6P1 and just wove them the way I wanted instead. Anyone who wants to duplicate this can follow his unit diagrams and then try to weave it from my pictures.
One helpful hint for assembly is to note that most pairs of two stars are not independently linked (in 6P1, every pair is linked). Another hint is that the assembly has chiral symmetry. If these hints and photos end up not being enough, I can upload a weaving schematic later if requested.
I believe it is the last origin-centric, single-loop woven model with octahedral symmetry and identical frames (there are only 3, XYZ, WXYZ, and this). It is also the first of a series of woven designs based on a chiral octahedral geometry set based on using only triangles and squares. I can upload nets of other designs later.