An App for the Discovery of Properties of Poncelet Triangles
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866913466052247552 |
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| author | Darlan, Iverton Reznik, Dan |
| author_facet | Darlan, Iverton Reznik, Dan |
| contents | We describe a newly-developed, free, browser-based application, for the interactive exploration of the dynamic geometry of Poncelet families of triangles. The main focus is on responsive display of the beauteous loci of centers of such families, refreshing them smoothly upon any changes in simulation parameters. The app informs the user when curves swept are conics and reports if certain metric quantities are conserved. Live simulations can be easily shared via a URL. A list of more than 400 pre-made experiments is included which can be regarded as conjectures and/or exercises. Millions of experiment combinations are possible. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2106_04521 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | An App for the Discovery of Properties of Poncelet Triangles Darlan, Iverton Reznik, Dan Graphics Computational Geometry Dynamical Systems Metric Geometry 00A72, 00A08, 37-04, 37M05, 51M04, 51N20 We describe a newly-developed, free, browser-based application, for the interactive exploration of the dynamic geometry of Poncelet families of triangles. The main focus is on responsive display of the beauteous loci of centers of such families, refreshing them smoothly upon any changes in simulation parameters. The app informs the user when curves swept are conics and reports if certain metric quantities are conserved. Live simulations can be easily shared via a URL. A list of more than 400 pre-made experiments is included which can be regarded as conjectures and/or exercises. Millions of experiment combinations are possible. |
| title | An App for the Discovery of Properties of Poncelet Triangles |
| topic | Graphics Computational Geometry Dynamical Systems Metric Geometry 00A72, 00A08, 37-04, 37M05, 51M04, 51N20 |
| url | https://arxiv.org/abs/2106.04521 |