(0,0,12,42)- consisting of 2 hexagonal modules (containing 3 spheres connected to 5 rods) at the top and the bottom, and 6 more spheres connected to 5 rods around the middle. It is very similar to the (0,0,12,45)-deltahedron. The main difference is that the spheres connected to 5 rods around the middle are separated. It is completely rigid, and highly reminiscent of Alain Lobel's frames. It can be easily extended by introducing more layers.