Magic Encyclopedia index a magic square, magic cube, magic tesseract, magic hypercube,

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.geocities.com/~harveyh/BookSale.htm
Addition The most common function used in this context
successive numbers are added on each line.
The sum of each line (x₀ .. x_n-1) is correctly stated by:
S = f_n-1; f_i = x_i + f_i-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

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.geocities.com/~harveyh/BookSale.htm
Addition	The most common function used in this context successive numbers are added on each line.
	The sum of each line (x₀ .. x_n-1) is correctly stated by: S = f_n-1; f_i = x_i + f_i-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
r-agonal Ratio	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)
Almost Magic Irregular	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
Analitic (number range)	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)
Arithmetic	see also	Geometric
Aspect (Aale de Winkel) aspectial variant disguised	Reorientation of a given figure (by reflection and transposition)
Aspect (Aale de Winkel) aspectial variant disguised	see also	Isomorphisms
Associated symmetrical	complementing the object one obtains an center mirror of the object
Associated symmetrical	see also	self-complementairy