Published October 10, 2025
| Version v1
Dataset
Open
Combinatorics of slices of cubes
Authors/Creators
-
1.
ETH Institute for Theoretical Studies
- 2. Ruhr-Universität Bochum
Description
This repository contains input and output data related to the paper "Combinatorics of slices of cubes" by Marie-Charlotte Brandenburg and Chiara Meroni. We present a complete computational classification of the combinatorial types of hyperplane sections, or slices, of the regular cube up to dimension six. When restricted to slices through the origin, our computations extend to dimension seven. The classification combines combinatorial, algebraic, and numerical techniques, with all results certified.
The README.md file contains a detailed description of all other files in the repository.
Files
README.md
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Additional details
Related works
- Is supplement to
- Publication: arXiv:2510.09265 (arXiv)
Funding
- ETH Zürich Foundation