I used a paper cutter, scissors, tape, construction paper, mat board, a compass, and a pencil.
Step 2: Preparing the Strips
I cut six 1/2" wide and 11" long strips of construction paper. I used a paper cutter and two colors of paper to add contrast. I also used a compass to make an equilateral triangle template from a piece of mat board.
Step 3: Trimming and Tapping
I used the template to trim the ends of all of the strips at a 60 degree angle. I then laid out each color on the angle and tapped the group together.
Step 4: Folding
I use the template to fold each grouping over onto themselves, making a bundled equilateral triangle (kind of like a paper football). Then I unravelled each bundle.
I wove the two sets of strips together, and continued a over under weave until I returned to the first side. As the strips wound round the tetrahedron a second time I wove the ends back through the weave. When I was running out of paper I trimmed the ends off and tucked them into the weave.