Hey, this is the brother of the Sierpinski Octahedron. I have never seen a printable Version of this, so I made my own. I called it a Dual Hexahedron because it approximates the dual of the hexahedron (cube)which is the octahedron.
You need: If you want to print it with the stand: 1 Piece 1 Stand 1 Stand Top 8 Connectors
If you would like to print it without the Sand: 2 Pieces 4 Connectors
It is scaled to match the Size of a 5 LVL Sierpinski Fractal with stand.
Print Settings: Standard settings for your Filament. No support. Unlike the Sierpinski Octahedron, it cannot be printed in Vase Mode.
Assembly: I made a little Picture Series how to do that, so view that above. If you scale the model down, you will need to glue the individual parts together, since the pins won't work anymore.
Troubleshooting: There is a Troubleshooting Folder that has stronger pins if the Normal pins are too weak for you. The higher the number the stronger they get.