Click the numbers of pieces to get the constructions with different sets.

Colors | Flip Type | Number of Pieces | Total Number of Triangles |
Constructions |
---|---|---|---|---|

n | one-sided | (n^6+2n^2)/3 | (n^6+2n^2)/3*4 | |

two-sided | (n^6+3n^3+2n^2)/6 | (n^6+3n^3+2n^2)/6*4 | ||

2 | one-sided | 24 | 96 | triangle, parallelogram, trapezium |

two-sided | 16 | 64 | triangle, truncated rhomb | |

3 | one-sided | 249 | 996 | semiregular hexagon |

two-sided | 138 | 552 | holey hexagon, holey triangle, berry |

A solution for a parallelogram and a trapezium is also possible.

The following construction has an uniformly colored outer border but this doesn't hold for the star like hole.

If there is no hole the border must get an odd number of each edge type.

Back

Home