Abstract
Put 5 points in a unit square, then there must be at least one triangle, formed by three of these points, with an area not greater than {radical}3/9. And the upper bound {radical}3/9 is the best. Unexpectedly, this disproves an old conjecture posed twenty years ago. (author). 15 refs, 19 figs.
Lu, Yang;
[1]
Jingzhong, Zhang;
[2]
Zhenbing, Zeng
[3]
- International Centre for Theoretical Physics, Trieste (Italy)
- Academia Sinica, Chengdu (China). Inst. of Mathematical Sciences
- Bielefeld Univ., Bielefeld (Germany). Fakultaet fuer Mathematik
Citation Formats
Lu, Yang, Jingzhong, Zhang, and Zhenbing, Zeng.
Heilbronn problem for five points.
IAEA: N. p.,
1991.
Web.
Lu, Yang, Jingzhong, Zhang, & Zhenbing, Zeng.
Heilbronn problem for five points.
IAEA.
Lu, Yang, Jingzhong, Zhang, and Zhenbing, Zeng.
1991.
"Heilbronn problem for five points."
IAEA.
@misc{etde_10157747,
title = {Heilbronn problem for five points}
author = {Lu, Yang, Jingzhong, Zhang, and Zhenbing, Zeng}
abstractNote = {Put 5 points in a unit square, then there must be at least one triangle, formed by three of these points, with an area not greater than {radical}3/9. And the upper bound {radical}3/9 is the best. Unexpectedly, this disproves an old conjecture posed twenty years ago. (author). 15 refs, 19 figs.}
place = {IAEA}
year = {1991}
month = {Aug}
}
title = {Heilbronn problem for five points}
author = {Lu, Yang, Jingzhong, Zhang, and Zhenbing, Zeng}
abstractNote = {Put 5 points in a unit square, then there must be at least one triangle, formed by three of these points, with an area not greater than {radical}3/9. And the upper bound {radical}3/9 is the best. Unexpectedly, this disproves an old conjecture posed twenty years ago. (author). 15 refs, 19 figs.}
place = {IAEA}
year = {1991}
month = {Aug}
}