Forms of Crossed and Simple Polygons
DOI:
https://doi.org/10.23756/sp.v7i2.473Keywords:
polygon, simple polygon, crossed polygon, form of a polygon, hexagon.Abstract
In this paper the author presents a new form of hexagon and the solution of the open problem of classifying plane hexagons. In particular are illustrated the forms of crossed and simple n-gons for n = 3, 4, 5, 6 and also the forms of simple ones for n = 7, 8, 9. A graphic way to construct new forms of polygons is illustrated.
Downloads
References
Brusotti, L. (1936). “Poligoni e poliedri”. Enciclopedia delle matematiche elementari, II, 259-320.
Fitzpatrick, R. (2008). Euclid’s Elements of Geometry. http://farside.ph.utexas.edu/Books/Euclid/Elements.pdf ; last access: 2018-07-05.
Girard, A. (1626). Tables de sinus, tangentes & secantes. A la Haye: Ed. Iacob Elzevir.
Grünbaum, B. (1975). “Polygons”. Lecture Notes in Mathematics - The Geometry of Metric and Linear Spaces, 490, 147-184.
Grünbaum, B. (2012). “Polygons: Meister was right and Poinsot was wrong but prevailed”. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 53, 57–71.
Sloane, N.J.A., editor (2018), The On-Line Encyclopedia of Integer Sequences, https://oeis.org; last access: 2019-06-28.
Steinitz, E. (1916). “Polyeder und Raumeinteilungen”. Encyklopädie der mathematischen Wissenschaften, Band III, 12, 3-14.
Togliani, L. (1978). “Morfologia degli esagoni piani”. Archimede, 30 (4), 201-210.
Togliani, L. (2001). “Nodi di un poligono piano”. Lettera Matematica Pristem, 39-40, 73-77.
Downloads
Published
Issue
Section
License
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:
- Free access for all users worldwide
- Increased visibility and readership
- Rapid publication
- No spatial constraints
- Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)
Copyright and Licensing Terms
SCIENCE & PHILOSOPHY publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open-access article, as long as the author is properly attributed. Copyright on any research article published by SCIENCE & PHILOSOPHY is retained by the author(s). Authors grant SCIENCE & PHILOSOPHY a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards:
