No triangle can be cut into seven congruent triangles. Beeson, M. 2019.
No triangle can be cut into seven congruent triangles [link]Paper  bibtex   
@misc{beeson2019a,
      title={No triangle can be cut into seven congruent triangles}, 
      author={Michael Beeson},
      year={2019},
      eprint={1811.09723},
      archivePrefix={arXiv},
      primaryClass={math.HO},
      url={https://arxiv.org/abs/1811.09723}, 
}

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