This is a crease pattern for Joel Cooper’s “Basket Weave” design, which features so prominently in many of his tessellation designs. It may have other origins as well- Joel has said as much; however, I have only seen it in his work, and that’s the first place I saw this, so until I see otherwise I’m crediting him with the design. That being said, here’s two different CP’s for it: one without a grid, and one with a grid. I highly recommend looking at the grid version to understand the spacing for this design, as it’s rather tightly packed together when folded. Basket Weave, Crease Pattern (PDF)   Basket Weave, Crease Pattern, no grid (PDF) To see some photos of what this looks like when folded, peruse some of Joel Cooper’s mask photos; or check out the examples I folded a while back, here.

If you are so inclined, I uploaded two different crease patterns for this design: 3.6.3.6 Waterbomb/Flagstone Tessellation, crease pattern (with grid) 3.6.3.6 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 3.6.3.6 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 3.6.3.6 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 3.6.3.6 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 …