The Magic Encyclopedia ™


The Magic Encyclopedia
index (a)
index item with this background taken from the LEXICON by Harvey Heinz and John R Hendricks
for purchasing details see: http://www.magic-squares.net/BookSale.htm
Addition The most common function used in this context
successive numbers are added on each line.
The sum of each line (x0 .. xn-1) is correctly stated by:
S = fn-1; fi = xi + fi-1; i = 1..n-1; f0 = x0
see also Subtraction
Multiplication
Division
Qualification
Agonals
(Aale de Winkel)
r-agonal
term used for a line trough the Hypercube
1-agonal
monagonal
orthogonal
hyperline parallel to the hypercubes axes
row, column, pillar etc
monagonal
diagonal
triagonal
quadragonal
1-agonal
2-agonal
3-agonal
4-agonal
see also Hypercube
r-agonal Ratio the fraction of magic pan-r-agonal lines in all pan-r-agonals
see also Magic Ratio
Ratio
Qualification
Algebraic Pattern The use of letters to represent numbers
(construction tool)
Almost Magic
Irregular
gap(s) in the range of used numbers in figures
(no double appearing numbers)
see also Analitic (number range)
Regular (number range)
Generalized
Alpha Magic Square Special condition between two magic squares
one has the number of the spelled outnumbers of the other
Analitic
(number range)
sequential numbers 0 .. mn-1
see also Regular (number range)
Irregular (number range)
Anti-magic when all lines sum up to a set of consecutive range of numbers
relevant subject Anti-magic squares
Anti-magic stars
related items heterosquare
see also Magic Hypercube
Magic Stars
Arithmetic Used numbers are in arithmetic progression (the default)
see also Geometric
Aspect
(Aale de Winkel)
aspectial variant
disguised
Reorientation of a given figure
(by reflection and transposition)
see also Isomorphisms
Associated
symmetrical
complementing the object one obtains an center mirror of the object
see also self-complementairy