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Pandiagonal magic square

A pandiagonal magic square or panmagic square (also diabolic square, diabolical square or diabolical magic square) is a magic square with the additional property that the broken diagonals, i.e. the diagonals that wrap round at the edges of the square, also add up to the magic constant.

3×3 pandiagonal magic squares, 4×4 pandiagonal magic squares & 5×5 pandiagonal magic squares

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3×3 pandiagonal magic squares

Non-trivialSymmetriesGeometric magic squaresLee Sallows
4 related topics

4×4 pandiagonal magic squares

Translationally symmetricMost-perfect magic squaresAssociative
3 related topics

5×5 pandiagonal magic squares

QuincunxCyclic permutationLinear combinations
3 related topics

(4n+2)×(4n+2) pandiagonal magic squares with nonconsecutive elements

IntegersOdd
2 related topics

Topics to explore

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Overview

3×3 pandiagonal magic squares

4×4 pandiagonal magic squares

5×5 pandiagonal magic squares

(4n+2)×(4n+2) pandiagonal magic squares with nonconsecutive elements

(6n±1)×(6n±1) pandiagonal magic squares

(6n+3)×(6n+3) pandiagonal magic squares

Advanced semantic analysis

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Map overview Semantic statistics

Pandiagonal magic square

Nodes29
Edges28
Triples50
Avg. degree1.93
Density0.068966
Components1

How this topic connects Entity context

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Pandiagonal magic square

Top relations

related to References · 13
Pandiagonal magic square → Andrews, Brée, Chapter, Cubes, Dover, IMA, Magic Squares, Most-perfect, New York, Ollerenshaw, Originally, See, Southend-on-Sea
related to (6n+3)×(6n+3) pandiagonal magic squares · 7
Pandiagonal magic square → Build, Continue, Copy, Create, Example, Put, You
related to 3×3 pandiagonal magic squares · 7
Pandiagonal magic square → Adding, However, In, It, Subtracting, Suppose, Therefore
related to (6n±1)×(6n±1) pandiagonal magic squares · 5
Pandiagonal magic square → Build, Continue, Copy, Example, Set
related to 4n×4n pandiagonal magic squares · 5
Pandiagonal magic square → Build, Copy, Each, Example, Put
related to 4×4 pandiagonal magic squares · 5
Pandiagonal magic square → All, Consequently, In, Since, The
related to (4n+2)×(4n+2) pandiagonal magic squares with nonconsecutive elements · 4
Pandiagonal magic square → But, Consider, No, This
related to 5×5 pandiagonal magic squares · 4
Pandiagonal magic square → In, The, There, Unlike

Important terminology Word statistics

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Important terminology

magic square displaystyle pandiagonal squares times first 4n column 6n numbers sum row also constant cells copy second build diagonals

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Pandiagonal magic squarerelated to (4n+2)×(4n+2) pandiagonal magic squares with nonconsecutive elementsNo0.60section
Pandiagonal magic squarerelated to (4n+2)×(4n+2) pandiagonal magic squares with nonconsecutive elementsBut0.60section
Pandiagonal magic squarerelated to (4n+2)×(4n+2) pandiagonal magic squares with nonconsecutive elementsConsider0.60section
Pandiagonal magic squarerelated to (4n+2)×(4n+2) pandiagonal magic squares with nonconsecutive elementsThis0.60section
Pandiagonal magic squarerelated to (6n+3)×(6n+3) pandiagonal magic squaresCreate0.60section
Pandiagonal magic squarerelated to (6n+3)×(6n+3) pandiagonal magic squaresYou0.60section
Pandiagonal magic squarerelated to (6n+3)×(6n+3) pandiagonal magic squaresPut0.60section
Pandiagonal magic squarerelated to (6n+3)×(6n+3) pandiagonal magic squaresCopy0.60section
Pandiagonal magic squarerelated to (6n+3)×(6n+3) pandiagonal magic squaresContinue0.60section
Pandiagonal magic squarerelated to (6n+3)×(6n+3) pandiagonal magic squaresBuild0.60section
Pandiagonal magic squarerelated to (6n+3)×(6n+3) pandiagonal magic squaresExample0.60section
Pandiagonal magic squarerelated to (6n±1)×(6n±1) pandiagonal magic squaresSet0.60section

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