Polygons in Polygons with a Twist
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908858161561600 |
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| author | Parks, James M |
| author_facet | Parks, James M |
| contents | This is a study of the construction of particular regular sub-n-gons T in regular n-gons P using a special system of chords of P. In particular, some of these sub-n-gons have areas which are integer divisors of the area of the given n-gon P. Initially, the study will concentrate on chords which are from a vertex to special points of one of the opposite sides of P. Several examples are explored. However, it will become apparent that a much more general situation exists. Dynamic Geometry software is the key to investigating this new relationship. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00899 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polygons in Polygons with a Twist Parks, James M History and Overview 51-08 This is a study of the construction of particular regular sub-n-gons T in regular n-gons P using a special system of chords of P. In particular, some of these sub-n-gons have areas which are integer divisors of the area of the given n-gon P. Initially, the study will concentrate on chords which are from a vertex to special points of one of the opposite sides of P. Several examples are explored. However, it will become apparent that a much more general situation exists. Dynamic Geometry software is the key to investigating this new relationship. |
| title | Polygons in Polygons with a Twist |
| topic | History and Overview 51-08 |
| url | https://arxiv.org/abs/2601.00899 |