Today’s star is called a Scandinavian woven star, or Advent star, or Finnish star, and probably other things.
I made this star using 12 strips of paper. Since I was working from memory, I managed to glut it together the wrong way round: the middle should curve outwards, not inwards. Let’s just say it’s a variation.
This one from Finnish blog remppahaikara is put together correctly and uses 20 strips.
You can find instructions in many places on the web. The images below come from Design and Form. You will need to visit the site to get the detailed instructions.
I have also come up with a variation that starts with the first steps of the Froebel star. Follow the first eleven steps shown on Mathematische Basteleien. You should have something like this:
Trim the ends. I was using 1.25 cm (about 0.5″) strips, and I trimmed the ends to 5 cm (2″) beyond the central square.
Glue tips together as shown below.
Make a second unit like the first, then glue the two together with one unit rotated 45 degrees. Your combination star should look like this: