The largest small hexagon

• Published in 1975
• Added on 2018-09-22

The problem of determining the largest area a plane hexagon of unit diameter can have, raised some 20 years ago by H. Lenz, is settled. It is shown that such a hexagon is unique and has an area exceeding that of a regular hexagon of unit diameter by about 4%.

Links

• https://www.sciencedirect.com/science/article/pii/0097316575900047

Other information

BibTeX entry

@article{Thelargestsmallhexagon,
	key = {Thelargestsmallhexagon},
	type = {article},
	title = {The largest small hexagon},
	author = {R. L. Graham},
	abstract = {The problem of determining the largest area a plane hexagon of unit diameter can have, raised some 20 years ago by H. Lenz, is settled. It is shown that such a hexagon is unique and has an area exceeding that of a regular hexagon of unit diameter by about 4{\%}.},
	comment = {},
	date_added = {2018-09-22},
	date_published = {1975-12-07},
	urls = {https://www.sciencedirect.com/science/article/pii/0097316575900047},
	collections = {Attention-grabbing titles,Easily explained,Geometry,Fun maths facts},
	url = {https://www.sciencedirect.com/science/article/pii/0097316575900047},
	year = 1975,
	urldate = {2018-09-22}
}