This is a modification of my regular polygon slide-together made of
thirty squares. There is a bit more cutting involved, but the
result looks cooler. I recommend this as a two-person activity
after doing the others. It assembles in a similar manner.
Each part looks like the above, so you can see why I call it the H construction. The template
for six per sheet is here.
Make five copies so you have thirty cut parts, either all the same
color or one sheet in each of five different colors. As with the
slide-togethers, you have to bend the paper slightly during
construction, but when everything is assembled all the components will
be planar.
Here is a view looking down a 3-fold axis. The H shapes are not obvious
unless you built it.