First I tried to make the stacked tans from dismantled cheap plastic snakes. Here is the set of Tetratan. The set is divided into five subsets:

Property of Pieces | Number of Pieces |

Height=3 or Height=4 | 14+1 |

Two tans in each layer | 15 |

Rectangular trapezium in bottom layer | 10 |

Three tans in one layer, but no rectangular trapezium | 12 |

Height=1 | 14 |

This way it's easier to search for a special piece, when a construction is built.

Unfortunately the triangular faces of the tans aren't perfectly plane. Therefore a higher construction is determined to crash. Especially the piece with height=4 is very unstable.

If the height of the figur is smaller than 6 and the higher pieces are squeezed, stable constructions are possible.

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