### Below we list new families of integrable symplectic maps discovered by our algorithm:

- Integrable three-piece maps

(k_1, k_2, k_3) |
(d) |

- |
- |

- |
- |

- Integrable four-piece maps

(k_1, k_2, k_3, k_4) |
(d) |

- |
- |

- |
- |

If you discovered a new integrable polygon mapping, please email us to integrablemaps@gmail.com and we will acknoweldge your result!