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]
This displays order 3 magic triangles, a type of magic polygon.
See also
Magic square
References
"Perimeter Maghic Polygons". www.trottermath.net. Archived from the original on 2018-01-12. Retrieved 2017-02-12.
"Perimeter Magic Polygon >k=3". www.magic-squares.net. 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". recmath.org. Retrieved 2017-02-12.
External links
https://udayton.edu/artssciences/academics/mathematics/images_and_files/umd_proceedings_files/2018/Jakicic-journal.pdf
Magic polygons
Types
Magic circle Magic hexagon Magic hexagram Magic square Magic star Magic triangle
Magicsquareexample.svg
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
Classification
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 Studies in Mathematics
Hellenica World - Scientific Library
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