Blown up by an equilateral: Poncelet triangles about the incircle and their degeneracies
<|reference_start|>Blown up by an equilateral: Poncelet triangles about the incircle and their degeneracies: We tour several harmonious Euclidean properties of Poncelet triangles inscribed in an ellipse and circumscribing the incircle. We also show that a number of degenerate behaviors are triggered by the presence of an equilateral triangle in the family.<|reference_end|>
@article{helman2024blown,
    title={Blown up by an equilateral: Poncelet triangles about the incircle and
  their degeneracies},
    author={Mark Helman, Ronaldo A. Garcia, Dan Reznik},
    journal={arXiv preprint arXiv:2409.19464},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.19464},
    primaryClass={math.DS cs.CG}
}