تقرير
A flexible polyhedron without self-intersections in Euclidean 3-space, all of whose dihedral angles change during a flex
| العنوان: | A flexible polyhedron without self-intersections in Euclidean 3-space, all of whose dihedral angles change during a flex |
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| المؤلفون: | Alexandrov, Victor, Volokitin, Evgenii |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Metric Geometry, 52C25, 65D18, 68U05 |
| الوصف: | We construct a sphere-homeomorphic flexible self-intersection free polyhedron in Euclidean 3-space such that all its dihedral angles change during some flex of this polyhedron. The constructed polyhedron has 26 vertices, 72 edges and 48 faces. To study its properties, we use symbolic computations in the Wolfram Mathematica software system. Comment: 19 pages, 6 figures; this v2 is an English translation of v1, which is in Russian |
| نوع الوثيقة: | Working Paper |
| اللغة: | Russian |
| URL الوصول: | http://arxiv.org/abs/2406.14147 |
| رقم الأكسشن: | edsarx.2406.14147 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |