English: Example of Möbius configuration; the face planes of red tetrahedron are shown on the top of the image;

the blue one on the bottom.

The vertex coordinates of the red tetrahedron are: ${\displaystyle (0,0,0),(0,0,1),(0,1,0)}$ and ${\displaystyle (1,0,0)}$. The vertex coordinates of the blue tetrahedron are ${\displaystyle (0,-\gamma ,\gamma ),(\gamma ,0,-\gamma ),(-\gamma ,\gamma ,0)}$ and ${\displaystyle ({\frac {1}{3}},{\frac {1}{3}},{\frac {1}{3}}),}$ where ${\displaystyle \gamma ={\frac {1}{\sqrt {2}}};}$.