Polytans

Pentatans - 30 psc

Tritans - 4 psc

Tetratans - 14 psc

There are only 8 convex shapes :

1  -  747 solutions 2  -  236 solutions
3  -  772 solutions 4  - 4828 solutions
5  -  4454 solutions 6  -  5274 solutions
7  - 1836 solutions 8  -  5365 solutions