Besides the convex forms already investigated, Stomachion figures can possibly build TetraTan forms. These consist of four equilateral triangles connected by sides. Kate Jones of gamepuzzles.com motivated me to look for the solutions.

The square - the classical Stomachion form - is a TetraTan too and has the well known 268 solutions. The TetraTan rectangle has unfortunately no solutions. All the other twelve forms could be found with complete solution sets in the following table.

Again the Archimedes puzzle displays its enormous flexibility.

TetraTanForms |
Number of Solutions |
AllSolutions (PDF) |

154 * 2 |
||

16 |
||

200 * 2 |
||

150 * 2 |
||

30 * 2 |
||

16 * 2 |
||

30 * 2 |
||

32 |
||

351 |
||

304 |
||

16 * 2 |
||

16 |

We could also try to solve the TetraTan forms with the stretched version of the Stomachion figures. But this ist not very interesting, because the figures can build four single Tans already.