Start with the wood and tied rope tetrahedron which can be made from trash or sticks as shown here in another post I did earlier. We are going to apply the 1/2 scale operation just as I did for the triangle in another post. One tetrahedron of a given length will yield two tetrahedra of 1/2 that side length.
Materials and tools:
- 1 tetrahedron
Step 1: Cut All Pieces in Half
No need to untie, just cut.
Step 2: Drill Holes in All the New Ends
as shown. You went from 6 pieces to 12, and each one needs one new hole so that's 12 holes. I use 1/4 inch holes, but adjust as needed for size of sticks.
Step 3: Cut Ties, Assemble
As shown you need to cut some new ties out of either clothes line or nylon parachute cord or some similar material. When the two product shapes are done, trim all the ends on all your knots(all are square knots). I have also attached a 3 dimensional cartoon in .stl format showing how this operation works as well as its inverse the 2x scaling that makes 4 tetrahedra into one large tetrahedron.