Counting symmetric unimodular triangulations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866916011888869376 |
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| author | Ferry, Kamillo Joswig, Michael Rambau, Jörg |
| author_facet | Ferry, Kamillo Joswig, Michael Rambau, Jörg |
| contents | The objects of study are triangulations of the dilated standard triangle in the plane. Motivated by work on T-curves (Geiselmann et al., 2026), the focus lies on unimodular triangulations with a fixed symmetry axis. Lower and upper bounds are given, in combination with full enumerations of a few small cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14150 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Counting symmetric unimodular triangulations Ferry, Kamillo Joswig, Michael Rambau, Jörg Combinatorics Algebraic Geometry 05A15 (Primary) 05A16, 52B15, 52B20, 68U05 (Secondary) The objects of study are triangulations of the dilated standard triangle in the plane. Motivated by work on T-curves (Geiselmann et al., 2026), the focus lies on unimodular triangulations with a fixed symmetry axis. Lower and upper bounds are given, in combination with full enumerations of a few small cases. |
| title | Counting symmetric unimodular triangulations |
| topic | Combinatorics Algebraic Geometry 05A15 (Primary) 05A16, 52B15, 52B20, 68U05 (Secondary) |
| url | https://arxiv.org/abs/2605.14150 |