We continue our discussion on Magic Squares, specifically now, the magic patterns that tie to the Zodiac. Magic Squares of order 4 can be distinguished by the various patterns that occur when complement pairs of numbers adding to 17, (half of the magic sum) are paired.

For example consider the following 4 x 4 Magic Square.

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When the numbers that add to 17 are “paired,” we the result is the figure below.

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It turns out that there are 12 distinct Magic Patterns, each of these will later be identified with their own Classic Magic Square and will be named after a star constellations in the Zodiac.

Aries

Magic Square

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Magic Pattern

The pairs lie in alternate columns along the diagonal of a 3 x 3 square.

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Example

7 + 10 = 17, 9 + 8 = 17

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Taurus

Magic Square

magic-patterns-taurus-1

Magic Pattern

Pairs are symmetrical around the centre.

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Example

15 + 2 = 17, 8 + 9 = 17

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Gemini

Magic Square

magic-patterns-gemini-1

Magic Pattern

The pairs lie in squares symmetrically on either side of the vertical middle.

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Example

1 + 16 = 17, 7 + 10 = 17

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Cancer

Magic Square

magic-patterns-cancer-1

Magic Pattern

The pairs lie in squares diagonally opposite each other in each quarter.

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Example

1 + 16 = 17, 11 + 6 = 17

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Leo

Magic Square

magic-patterns-leo-1

Magic Pattern

The pairs lie in adjoining squares in adjacent columns.

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Example

16 + 1 = 17, 12 + 5 = 17

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Virgo

Magic Square

magic-patterns-virgo-1

Magic Pattern

The pairs lie in alternate squares in alternate columns.

magic-patterns-virgo-2

Example

4 + 13 = 17, 8 + 9 = 17

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Libra

Magic Square

magic-patterns-libra-1

Magic Pattern

The pairs lie in squares symmetrically on either side of the vertical middle and in adjoining squares in adjacent columns.

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Example

2 + 15 = 17, 14 + 3 = 17

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Scorpio

Magic Square

magic-patterns-scorpio-1

Magic Pattern

The pairs lie in adjoining squares in adjacent columns, and in squares symmetrically on either side of the vertical middle.

magic-patterns-scorpio-2

Example

14 + 3 = 17, 2 + 15 = 17

magic-patterns-scorpio-3

Sagittarius

Magic Square

magic-patterns-sagittarius-1

Magic Pattern

The pairs lie in squares symmetrically on either side of the vertical middle, and in alternate squares in alternate columns.

magic-patterns-sagittarius-2

Example

1 + 16 = 17, 14 + 3 = 17

magic-patterns-sagittarius-3

Capricorn

Magic Square

magic-patterns-capricorn-1

Magic Pattern

The pairs lie in alternate squares in alternate columns, and in squares symmetrically on either side of the vertical middle.

magic-patterns-capricorn-2

Example

12 + 5 = 17, 14 + 3 = 17

magic-patterns-capricorn-3

Aquarius

Magic Square

magic-patterns-aquarius-1

Magic Pattern

The pairs lie in alternate squares in alternate columns and in Knight’s moves.

magic-patterns-aquarius-2

Example

1 + 16 = 17, 8 + 9 = 17

magic-patterns-aquarius-3

Pisces

Magic Square

magic-patterns-pisces-1

Magic Pattern

The pairs lie in adjoining squares in adjacent columns, and in Knight’s moves.

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Example

2 + 15 = 17, 8 + 9 = 17

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Magic Squares of the Zodiac

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