Interesting Esoterica

The largest small hexagon

Article by R. L. Graham
  • Published in 1975
  • Added on
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%.

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BibTeX entry

@article{Thelargestsmallhexagon,
	title = {The largest small hexagon},
	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{\%}.},
	url = {https://www.sciencedirect.com/science/article/pii/0097316575900047},
	year = 1975,
	author = {R. L. Graham},
	comment = {},
	urldate = {2018-09-22},
	collections = {Attention-grabbing titles,Easily explained,Geometry,Fun maths facts}
}