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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.04443 |
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| _version_ | 1866912018054774784 |
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| author | Danielewska, Iza Poławski, Dawid Sterczewska, Dominika Zwierzyński, Michał |
| author_facet | Danielewska, Iza Poławski, Dawid Sterczewska, Dominika Zwierzyński, Michał |
| contents | The Wigner caustic and the Centre Symmetry Set of a closed smooth planar curve are known singular sets which generically admit only cusp singularities. Applications of these objects in semi-classical quantum physics, in chaos theory, in singularity theory, in convex geometry, have been studied since the 1970s until today. These sets can be viewed as envelopes of special families of lines and thanks to that they have many geometric artistic values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04443 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Artistic Aspects of the Wigner Caustic and the Centre Symmetry Set Danielewska, Iza Poławski, Dawid Sterczewska, Dominika Zwierzyński, Michał General Mathematics 52A38, 52A40, 58K70 The Wigner caustic and the Centre Symmetry Set of a closed smooth planar curve are known singular sets which generically admit only cusp singularities. Applications of these objects in semi-classical quantum physics, in chaos theory, in singularity theory, in convex geometry, have been studied since the 1970s until today. These sets can be viewed as envelopes of special families of lines and thanks to that they have many geometric artistic values. |
| title | Artistic Aspects of the Wigner Caustic and the Centre Symmetry Set |
| topic | General Mathematics 52A38, 52A40, 58K70 |
| url | https://arxiv.org/abs/2409.04443 |