# The largest small hexagon

• Published in 1975
In the collections
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%.

### 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}
}