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Tight Bounds on the Maximal Area of Small Polygons: Improved Mossinghoff Polygons

Tight Bounds on the Maximal Area of Small Polygons: Improved Mossinghoff Polygons

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2822881291

Tight Bounds on the Maximal Area of Small Polygons: Improved Mossinghoff Polygons

About this item

Full title

Tight Bounds on the Maximal Area of Small Polygons: Improved Mossinghoff Polygons

Author / Creator

Publisher

New York: Springer US

Journal title

Discrete & computational geometry, 2023-07, Vol.70 (1), p.236-248

Language

English

Formats

Publication information

Publisher

New York: Springer US

More information

Scope and Contents

Contents

A small polygon is a polygon of unit diameter. The maximal area of a small polygon with
n
=
2
m
vertices is not known when
m

7
. In this paper, we construct, for each
n
=
2
m
and
m

3
, a small
n
-gon whose area is the maximal value of a one-variable function. We show that, for all even...

Alternative Titles

Full title

Tight Bounds on the Maximal Area of Small Polygons: Improved Mossinghoff Polygons

Authors, Artists and Contributors

Author / Creator

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2822881291

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2822881291

Other Identifiers

ISSN

0179-5376

E-ISSN

1432-0444

DOI

10.1007/s00454-022-00374-z

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