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The placement of points on aunitcircle: thegoldenplacement policy |
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| รหัสดีโอไอ | |
| Creator | Graham Kenneth Winley |
| Title | The placement of points on aunitcircle: thegoldenplacement policy |
| Publisher | Research and Technology Transfer Affairs Division.Khon Kaen University. |
| Publication Year | 2560 |
| Journal Title | Asia-Pacific Journal of Science and Technology (APST) |
| Journal Vol. | 22 |
| Journal No. | 4 |
| Page no. | 1-9 |
| Keyword | Fibonacci numbers, Golden section, Phyllotaxis |
| URL Website | https://tci-thaijo.org/index.php/APST/index |
| Website title | https://tci-thaijo.org/index.php/APST/article/view/107642 |
| ISSN | 2539-6293 |
| Abstract | This article investigates patterns and properties among the points and the gaps that are formed when points are placed in a clockwise direction around a unit circle so that the distance between successive placements is the Golden Section (?). It is shown that the use of ? corresponds to a policy of placing points in the oldest gap among all of the largest gaps. The analyses examine the ordering of the points; the length, age, type, and the numbers of gap types formed; and demonstrate the importance of Fibonacci numbers in describing the patterns that emerge. The analyses provide insights into practical situations including the placement of transmitters and receivers and phyllotaxis. |
