The Magic Encyclopedia index (p) |
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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 |
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paired magic squares |
a set of two magic squares using the number range 1 .. 2 m^{2} both squares have the same magic sum: m (1 + 2m^{2}) / 2 (addition magic) |
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see also |
p-Multiplet Object paired magic hypercubes |
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paired magic hypercubes |
a set of two magic hypercubes using the number range 1 .. 2 m^{n} both hypercubes have the same magic sum: m (1 + 2m^{n}) / 2 (addition magic) |
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see also |
p-Multiplet Object paired magic squares |
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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) |
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relevant Webpages |
Harvey Heinz page on "Pandiagonal 5x5" |
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see also |
Latin Component Hypercube Latin Hypercube |
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Pan n-agonal Transform Pan Hypercube (Aale de Winkel) |
Construction method for pan n-agonal hypercubes for doubly even orders |
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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) |
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relevant Webpages |
M. Suzuki"s page on Irregular squares |
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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 |
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pandiagonal hypercubes prime order (Aale de Winkel) |
magic hypercube with all (broken) (sub-)diagonals summing to the magic sum | ||||||
{pandiagonal monagonal [!]} {pandiagonal magic} |
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see also |
panmagic squares perfect hypercube of prime order |
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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 |
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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 3^{n} - 1 r-agonals of the hypercube, from any position |
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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) |
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Plusmagic square | Quadrant magic square for the "plus"pattern | ||||||
see also |
Quadrant Magic Special Magic Features |
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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(_{j}i) = _{k=0}∑^{n-1}(a_{k} _{k}i + a_{n}) mod p; a_{k} 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 |
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PythagoreanTriplets (Aale de Winkel) |
A parametrisation of Pythagorean Triplets solutions (a,b,c) to the equation of pythagoras: a^{2} + b^{2} = c^{2}. |
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Relevant Webpage | Pythagorean Triple |