Abstract
The permutation of the trilinear coordinates of a point yield the six permutation points which are conconic. This idea leads to the following generalization: The six permutations of the trilinears of a point together with the six permutations of the trilinears of the image of that particular point under a certain quadratic Cremona transformation yield twelve points which lie on a single cubic curve. This note is devoted to the study of the thus defined cubic curves, especially those defined by some triangle center and its isogonal or isotomic conjugate.
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Odehnal, B. (2023). Permutation Cubics. In: Cheng, LY. (eds) ICGG 2022 - Proceedings of the 20th International Conference on Geometry and Graphics. ICGG 2022. Lecture Notes on Data Engineering and Communications Technologies, vol 146. Springer, Cham. https://doi.org/10.1007/978-3-031-13588-0_5
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DOI: https://doi.org/10.1007/978-3-031-13588-0_5
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