Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.23095 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911541558771712 |
|---|---|
| author | Eisermann, Michael |
| author_facet | Eisermann, Michael |
| contents | Pick's astonishing theorem explains how to obtain the area of any integer polygon by counting lattice points. It is a notoriously difficult challenge to translate the geometric statement and intuitive reasoning into a formal statement and rigorous proof. We transform the beautiful geometry into equally elegant algebra, and then implement the algebraic proof in Lean. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23095 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Formalizing Pick's Theorem, efficiently Eisermann, Michael Geometric Topology 68V15, 68V20 Pick's astonishing theorem explains how to obtain the area of any integer polygon by counting lattice points. It is a notoriously difficult challenge to translate the geometric statement and intuitive reasoning into a formal statement and rigorous proof. We transform the beautiful geometry into equally elegant algebra, and then implement the algebraic proof in Lean. |
| title | Formalizing Pick's Theorem, efficiently |
| topic | Geometric Topology 68V15, 68V20 |
| url | https://arxiv.org/abs/2603.23095 |