If you are so inclined, I uploaded two different crease patterns for this design:
- 22.214.171.124 Waterbomb/Flagstone Tessellation, crease pattern (with grid)
- 126.96.36.199 Waterbomb/Flagstone Tessellation, crease pattern (no grid, as pictured above)
I’m really at somewhat of a loss on what to name these tessellations. If folded fully they become flagstone tessellations, ala Joel Cooper; if left three-dimensional, they are “waterbomb” style tessellations (although waterbomb is the wrong term for us to use here, but we’ll dispense with that argument for the moment.)
Regardless, this is a 188.8.131.52 tessellation- the old standard, triangles and hexagons together.
When you fold “normal” tessellations, the twists are always the dual of the tessellation you are folding. (For example, the 184.108.40.206 tessellation has a dual made up of rhombic stars- and the rhombic star tessellation, when folded, has hexagon and triangle twists, which most people actually think of as a 220.127.116.11 tessellation even though it’s really the dual of that…)
However, with these “waterbomb” tessellations, there seems to be a little bit of change due to the geometry involved. I still think they use the same “my twists are my dual” rule, but it’s a little different in how it folds out in the end, and I haven’t quite figured it all out yet.
This pattern (which I am currently folding) is really quite complicated to collapse. Much trickier than I thought it would be. However, I think the results will be quite interesting and worth the time spent.
It’s not really a full CP- many of the little creases for the hourglass shapes aren’t there- but I think you can figure it out if you fold these sorts of things.