| dc.contributor.author |
Theerakarn T. |
|
| dc.contributor.other |
Srinakharinwirot University |
|
| dc.date.accessioned |
2023-11-15T02:08:42Z |
|
| dc.date.available |
2023-11-15T02:08:42Z |
|
| dc.date.issued |
2023 |
|
| dc.identifier.uri |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85172765987&doi=10.1080%2f07468342.2023.2240203&partnerID=40&md5=170b7a038b833938944823626a9d979d |
|
| dc.identifier.uri |
https://ir.swu.ac.th/jspui/handle/123456789/29473 |
|
| dc.description.abstract |
Every line passing through the center of a circular disk bisects its area. Not every planar region has a point with this property. It turns out that if a compact connected region is star-shaped at its center of area, then it must be centrally symmetric. However, there exists a non-centrally symmetric star-shaped region whose boundary has a center of length, which is a point where every line passing through this point cut its length in half. In this article, we characterize such regions and provide a method to create them. Additionally, we provide new examples and a method to generate analogous objects in higher dimensions. © 2023, THE MATHEMATICAL ASSOCIATION OF AMERICA. |
|
| dc.publisher |
Taylor and Francis Ltd. |
|
| dc.title |
On the Center of Surface Area of the Boundary of a Star-Shaped Region |
|
| dc.type |
Article |
|
| dc.rights.holder |
Scopus |
|
| dc.identifier.bibliograpycitation |
College Mathematics Journal. Vol 54, No.4 (2023), p.326-336 |
|
| dc.identifier.doi |
10.1080/07468342.2023.2240203 |
|