PreprintarXiv licencearXiv
Two examples in amplituhedron tilings
Abstract
We give an example of a tiling of the m=4 amplituhedron that has fewer cells than that of the magic number conjecture. The tiling uses an injective degree two cell.
Related
- The m=2 amplituhedron is a positive geometry
- Automata, groups, limit spaces and tilings
- Tile sets consisting of two types of concave polygons derived from periodic tilings corresponding to non-periodic tilings with hat and turtle tiles
- Regular hyperbolic tilings have no ℓ2 eigenfunctions
- Those Confounded Examples
BibTeX
@misc{akhmedova2026examples,
title = {{Two examples in amplituhedron tilings}},
author = {Evgeniya Akhmedova and Thomas Lam and Calvin Yost-Wolff},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05216},
eprint = {2611.05216},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05216},
}
RIS
TY - UNPB
TI - Two examples in amplituhedron tilings
AU - Evgeniya Akhmedova
AU - Thomas Lam
AU - Calvin Yost-Wolff
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05216
UR - https://arxiv.org/abs/2611.05216
AB - We give an example of a tiling of the m=4 amplituhedron that has fewer cells than that of the magic number conjecture. The tiling uses an injective degree two cell.
ER -