THE
ARCANE
ARCHIVE

a cache of usenet and other text files pertaining
to occult, mystical, and spiritual subjects.


TOP | OCCULTISM | DIVINATION

Magick Squares Formula

To: alt.magick
From: milmoe@symcom.math.uiuc.edu (Andrew Milmoe)
Subj: Magick Squares Formula (0000.msqfmla.am)
Date: unknown

Quoting: |unknown

|...Andrew, are you willing to check the magic squares I have against
|a math text on them?  (Magic squares, having specific mathematical rules,
|can actually be checked for accuracy, unlike most other things in magic.)

Just an off-the-cuff analysis: for an NxN magic square, there are N^2
consecutive integers (our variables) to fill the squares with, and there 
are 2N+2 equations to satisfy (N rows, N columns, and two diagonals that each
add up to (N^4 + N^2)/2N ). If we were dealing with real numbers here
and not just integers, I'd say that there are N^2-(2N+2) degrees of freedom
(that's the number of variables that we can assign any value to and still
be able to solve the equations). Since we're dealing with consecutive 
integers, we're a bit more constrained - there may be equations to describe
the system and account for this that I haven't thought of yet.
Anyway, for Saturn's 3x3 square, we have 9 consecutive integers to deal 
with, and 8 equations, yielding 1 degree of freedom - I feel that only 
reflects the fact that it's possible to rotate the square and still 
satisfy all the conditions (barring having the same magickal significance).
As I said, I'll have to check on what sort of equation would express the
constraint that we're dealing with consecutive integers, and see if it 
has any effect (barring a rotation of the square) on the solutions.

Whew! Did you really need to hear all that? ;)

Andrew Milmoe
milmoe@symcom.math.uiuc.edu

The Arcane Archive is copyright by the authors cited.
Send comments to the Arcane Archivist: tyaginator@arcane-archive.org.

Did you like what you read here? Find it useful?
Then please click on the Paypal Secure Server logo and make a small
donation to the site maintainer for the creation and upkeep of this site.

The ARCANE ARCHIVE is a large domain,
organized into a number of sub-directories,
each dealing with a different branch of
religion, mysticism, occultism, or esoteric knowledge.
Here are the major ARCANE ARCHIVE directories you can visit:
interdisciplinary: geometry, natural proportion, ratio, archaeoastronomy
mysticism: enlightenment, self-realization, trance, meditation, consciousness
occultism: divination, hermeticism, amulets, sigils, magick, witchcraft, spells
religion: buddhism, christianity, hinduism, islam, judaism, taoism, wicca, voodoo
societies and fraternal orders: freemasonry, golden dawn, rosicrucians, etc.

SEARCH THE ARCANE ARCHIVE

There are thousands of web pages at the ARCANE ARCHIVE. You can use ATOMZ.COM
to search for a single word (like witchcraft, hoodoo, pagan, or magic) or an
exact phrase (like Kwan Yin, golden ratio, or book of shadows):

Search For:
Match:  Any word All words Exact phrase

OTHER ESOTERIC AND OCCULT SITES OF INTEREST

Southern Spirits: 19th and 20th century accounts of hoodoo, including slave narratives & interviews
Hoodoo in Theory and Practice by cat yronwode: an introduction to African-American rootwork
Lucky W Amulet Archive by cat yronwode: an online museum of worldwide talismans and charms
Sacred Sex: essays and articles on tantra yoga, neo-tantra, karezza, sex magic, and sex worship
Sacred Landscape: essays and articles on archaeoastronomy, sacred architecture, and sacred geometry
Lucky Mojo Forum: practitioners answer queries on conjure; sponsored by the Lucky Mojo Curio Co.
Herb Magic: illustrated descriptions of magic herbs with free spells, recipes, and an ordering option
Association of Independent Readers and Rootworkers: ethical diviners and hoodoo spell-casters
Freemasonry for Women by cat yronwode: a history of mixed-gender Freemasonic lodges
Missionary Independent Spiritual Church: spirit-led, inter-faith, the Smallest Church in the World
Satan Service Org: an archive presenting the theory, practice, and history of Satanism and Satanists
Gospel of Satan: the story of Jesus and the angels, from the perspective of the God of this World
Lucky Mojo Usenet FAQ Archive: FAQs and REFs for occult and magical usenet newsgroups
Candles and Curios: essays and articles on traditional African American conjure and folk magic
Aleister Crowley Text Archive: a multitude of texts by an early 20th century ceremonial occultist
Spiritual Spells: lessons in folk magic and spell casting from an eclectic Wiccan perspective
The Mystic Tea Room: divination by reading tea-leaves, with a museum of antique fortune telling cups
Yronwode Institution for the Preservation and Popularization of Indigenous Ethnomagicology
Yronwode Home: personal pages of catherine yronwode and nagasiva yronwode, magical archivists
Lucky Mojo Magic Spells Archives: love spells, money spells, luck spells, protection spells, etc.
      Free Love Spell Archive: love spells, attraction spells, sex magick, romance spells, and lust spells
      Free Money Spell Archive: money spells, prosperity spells, and wealth spells for job and business
      Free Protection Spell Archive: protection spells against witchcraft, jinxes, hexes, and the evil eye
      Free Gambling Luck Spell Archive: lucky gambling spells for the lottery, casinos, and races