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A magic polygon also called a perimeter magic polygon[1][2] is a polygon with an integers on its sides that all add up to a magic sum.[3][4] It is where positive integers (from 1 to N) on a k-sided polygon add up to a constant, or magic sum.[1] Magic polygons are the generalization of other magic shapes[5] such as magic triangles.[6]

Order 3 Magic Triangles

This displays order 3 magic triangles, a type of magic polygon.
See also

Magic square


"Perimeter Maghic Polygons". Archived from the original on 2018-01-12. Retrieved 2017-02-12.
"Perimeter Magic Polygon >k=3". Retrieved 2017-02-12.
Staszkow, Ronald (2003-05-01). Math Skills: Arithmetic with Introductory Algebra and Geometry. Kendall Hunt. p. 199. ISBN 9780787292966. "Magic polygon math."
Bolt, Brian (1987-04-09). Even More Mathematical Activities. Cambridge University Press. ISBN 9780521339940.
Croft, Hallard T.; Falconer, Kenneth; Guy, Richard K. (2012-12-06). Unsolved Problems in Geometry: Unsolved Problems in Intuitive Mathematics. Springer Science & Business Media. ISBN 9781461209638.

Heinz, Harvey D. "Perimeter Magic Triagonals". Retrieved 2017-02-12.

External links

Magic polygons

Magic circle Magic hexagon Magic hexagram Magic square Magic star Magic triangle

Related shapes

Alphamagic square Antimagic square Geomagic square Heterosquare Pandiagonal magic square Most-perfect magic square

Higher dimensional shapes

Magic cube
classes Magic hypercube Magic hyperbeam


Associative magic square Pandiagonal magic square Multimagic square

Related concepts

Latin square Word square Number Scrabble Eight queens puzzle Magic constant Magic graph Magic series

Undergraduate Texts in Mathematics

Graduate Texts in Mathematics

Graduate Studies in Mathematics

Mathematics Encyclopedia



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