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INTEGER POLYGONS OF GIVEN PERIMETER
Published online by Cambridge University Press: 30 January 2019
Abstract
A classical result of Honsberger states that the number of incongruent triangles with integer sides and perimeter $n$ is the nearest integer to
$n^{2}/48$ (
$n$ even) or
$(n+3)^{2}/48$ (
$n$ odd). We solve the analogous problem for
$m$-gons (for arbitrary but fixed
$m\geq 3$) and for polygons (with arbitrary number of sides).
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 100 , Issue 1 , August 2019 , pp. 131 - 147
- Copyright
- © 2019 Australian Mathematical Publishing Association Inc.
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