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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.geocities.com/~harveyh/BookSale.htm |
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| 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) |
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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 mn both hypercubes have the same magic sum: m (1 + 2mn) / 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 | ||||||
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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 (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 | ||||||
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Pan n-agonal Associated hypercubes order 4 (Aale de Winkel) |
Investigation of the {pan n-agonal associated} hypercubes order 4 | ||||||
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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 | ||||||
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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 | ||||||
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{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 3n - 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 | ||||||
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p-tuple patterns (Aale de Winkel) |
pattern of lines connecting complementairy numbers | ||||||
| see also | Dudeney group patterns | ||||||
| Relevant Webpage | HarVey Heinz transform page | ||||||
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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 | ||||||
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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(ji) = k=0∑n-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 | ||||||
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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: a2 + b2 = c2. |
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| Relevant Webpage | Pythagorean Triple | ||||||