Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.14828 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917090206679040 |
|---|---|
| author | Herr, Frances |
| author_facet | Herr, Frances |
| contents | Curve stitching is a classic educational activity where one constructs elegant curves from a family of straight lines. We perform curve stitching around a circle to make a modular stitch graph. Take $m$ points equally spaced around a circle, choose an integer multiplier $a$, and draw a chord from point $p$ to $a p \mod m$. What design will appear as the envelope of these chords? We connect these discrete objects to a continuous-time dynamical system and apply a topological perspective to understand the answer to this question. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14828 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Curve Stitching and Dancing Planets Herr, Frances History and Overview Curve stitching is a classic educational activity where one constructs elegant curves from a family of straight lines. We perform curve stitching around a circle to make a modular stitch graph. Take $m$ points equally spaced around a circle, choose an integer multiplier $a$, and draw a chord from point $p$ to $a p \mod m$. What design will appear as the envelope of these chords? We connect these discrete objects to a continuous-time dynamical system and apply a topological perspective to understand the answer to this question. |
| title | Curve Stitching and Dancing Planets |
| topic | History and Overview |
| url | https://arxiv.org/abs/2511.14828 |