The Magic Encyclopedia ™


The Magic Encyclopedia
index (p)
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
paired magic squares a set of two magic squares using the number range 1 .. 2 m2
both squares have the same magic sum: m (1 + 2m2) / 2 (addition magic)
see also p-Multiplet Object
paired magic hypercubes
paired magic hypercubes a set of two magic hypercubes using the number range 1 .. 2 mn
both hypercubes have the same magic sum: m (1 + 2mn) / 2 (addition magic)
see also p-Multiplet Object
paired magic squares
palindromic using only palindromic numbers
see also Qualifications
pan-r-agonal all the hypercubes (broken) r-agonals sum up to the magic sum
panmagic stars A star formed by transformation of a panmagic square
panmagic squares
prime order
squared order
compound order
doubly even orders
(Aale de Winkel)
magic square with all (broken) (sub-)diagonals summing to the magic sum
(the regular theory)
relevant Webpages Harvey Heinz page on "Pandiagonal 5x5"
see also Latin Component Hypercube
Latin Hypercube
Pan n-agonal Transform
Pan Hypercube
(Aale de Winkel)
Construction method for pan n-agonal hypercubes
for doubly even orders
Pantriagonal Associated
cubes order 4

(Aale de Winkel)
Description of the {pantriagonal associated} cubes order 4
Pan n-agonal Associated
hypercubes order 4

(Aale de Winkel)
Investigation of the {pan n-agonal associated} hypercubes order 4
irregular
panmagic squares
prime order
(Aale de Winkel)
magic square with all (broken) (sub-)diagonals summing to the magic sum
(falling outside the regular theory)
relevant Webpages M. Suzuki"s page on Irregular squares
see also panmagic squares
non existence proof
of {pandiagonal} hypercubes
of doubly odd order

(Aale de Winkel)
A general proof showing the nonexistance of {pandiagonal} squares
of doubly odd order using the regular number range, recently extended
to proof the nonexistance of {pandiagonal} hypercubes of any dimension
pandiagonal hypercubes
prime order
(Aale de Winkel)
magic hypercube with all (broken) (sub-)diagonals summing to the magic sum
{pandiagonal monagonal [!]}
{pandiagonal magic}
see also panmagic squares
perfect hypercube of prime order
pandiagonal stacking
(Aale de Winkel)
pandiagonal
Multiplet stacking

(Aale de Winkel)
Stacking panmagic square to create panmagic squares
see also panmagic squares
spreadsheets excell order 12 stacking spreadsheet
excell order 15 stacking spreadsheet
excell order 15 triplet stacking spreadsheet
Parity pattern The pattern of "0" and "1" when all numbers are taken modulo 2
patchwork magic square Special type of magic square, with all kinds of magic summing subfigures
Pathfinder Special n-vector with only -1, 0 and 1 which can be used to travers
all 3n - 1 r-agonals of the hypercube, from any position
Paths through the Hypercube
(Aale de Winkel)
Introducing notations to define various types of paths through the hypercube
see also Bent Hyperagonal
Pattern Special group of numbers summing to the magic sum
p-tuple patterns
(Aale de Winkel)
pattern of lines connecting complementairy numbers
see also Dudeney group patterns
Relevant Webpage HarVey Heinz transform page
perfect hypercube
prime orders
prime composite orders
odd orders
(Aale de Winkel)
hypercube where all (broken-) r-agonals sum up to the magic sum with r = 1 .. n
{perfect}
see also Pan diagonal hypercubes of prime order
Perfect prime square Special type of magic square, using only digits and each line form a prime number
Perimeter magic polygons Polygon where all the numbers on a line sum to the same sum
Authors Webpages The Magic Polygon
Permutations
(Aale de Winkel)
The reordering of numbers
(mathematical term)
Plusmagic square Quadrant magic square for the "plus"pattern
see also Quadrant Magic
Special Magic Features
Prime using only prime numbers
see also Qualifications
relevant Webpages The Prime Puzzles & Problems Connection
Prime digital equations modular equations resulting in hypercubes with radix a prime number
S(ji) = k=0n-1(ak ki + an) mod p; ak ε [0 .. m-1]; p prime factor of m
see also panmagic squares of compound order
Product the magic constant in a multiplication magic object
see also Qualifications
Production Generic term for the description to obtain a (magic) object
see also The Hypercube Language
Pure
Normal
Regular
Use of the regular range of numbers in an object
Pythagorean magic square Set of three magic square related by pythgorean triplets
either by their numeric content or their magic constants
PythagoreanTriplets
(Aale de Winkel)
A parametrisation of Pythagorean Triplets
solutions (a,b,c) to the equation of pythagoras: a2 + b2 = c2.
Relevant Webpage Pythagorean Triple