| Title |
Triangle △ABC and Length of Fermat tree |
| Authors |
김주철(Ju-Chul Kim) ; 이상중(Sang-Joong Lee) |
| DOI |
https://doi.org/10.5370/KIEE.2019.68.10.1169 |
| Keywords |
Fermat point; Fermat tree; Minimal path formula; Cost reduction |
| Abstract |
The Fermat point minimally connects three points of ?ABC and resultant tree(=Fermat tree) is shorter than the path lengths connected via the excenter; circumcenter; centroid; orthocenter; and incenter; respectively. Fermat point and Fermat tree have a useful meaning in physical and engineering point of view. Finding Fermat point and Fermat tree can contribute to cost reduction for electric circuits; power transmission/distribution lines; and etc; especially for high cost conductors; e.g.; the superconducting power cable. This paper shows a brief review of a recently published article on Fermat point and presents detailed derivation procedure and application example of the formula by which the length of the Fermat tree can be directly calculated. |