Integer polygons of given perimeter

James East; Ron Niles

doi:10.1017/S0004972718001612

Integer polygons of given perimeter

James East, Ron Niles

Western Sydney University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A classical result of Honsberger states that the number of incongruent triangles with integer sides and perimeter is the nearest integer to (even) or (odd). We solve the analogous problem for -gons (for arbitrary but fixed) and for polygons (with arbitrary number of sides).

Original language	English
Pages (from-to)	131-147
Number of pages	17
Journal	Bulletin of the Australian Mathematical Society
Volume	100
Issue number	1
DOIs	https://doi.org/10.1017/S0004972718001612
Publication status	Published - 2019

Keywords

polygons

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10.1017/S0004972718001612

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abstract = "A classical result of Honsberger states that the number of incongruent triangles with integer sides and perimeter is the nearest integer to (even) or (odd). We solve the analogous problem for -gons (for arbitrary but fixed) and for polygons (with arbitrary number of sides).",

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AU - Niles, Ron

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AB - A classical result of Honsberger states that the number of incongruent triangles with integer sides and perimeter is the nearest integer to (even) or (odd). We solve the analogous problem for -gons (for arbitrary but fixed) and for polygons (with arbitrary number of sides).

KW - polygons

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DO - 10.1017/S0004972718001612

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SN - 0004-9727

VL - 100

SP - 131

EP - 147

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

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ER -

Integer polygons of given perimeter

Abstract

Keywords

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