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Counting symmetric unimodular triangulations
Abstract
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.
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BibTeX
@misc{ferry2026counting,
title = {{Counting symmetric unimodular triangulations}},
author = {Kamillo Ferry and Michael Joswig and Jörg Rambau},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.14150},
eprint = {2605.14150},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.14150},
}
RIS
TY - UNPB
TI - Counting symmetric unimodular triangulations
AU - Kamillo Ferry
AU - Michael Joswig
AU - Jörg Rambau
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2605.14150
UR - https://arxiv.org/abs/2605.14150
AB - 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.
ER -