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Melencolia

by Dr. Hans-Christian Solka
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Melencolia by Dr. Hans-Christian Solka
The date 1514 A.D. means something to you? It's possible to construct lightning-fast a magic square on the backside of a business card and hand it out as giveaway. This is by far the best ebook on magic squares for the mental entertainer. Melencolia I - Magic Squares for the Mental Entertainer becomes a modern classic. It is without a doubt an essential work in this field of mentalism on mostly unknown, smart and unforgettable methods for 4x4, 5x5 and 6x6 Magic Squares.

Table of Contents:

  • Introduction
  • Part I - Dürer magic square
    1. Construction of the Dürer magic square
      1. A traditional method
      2. A more magical method
        1. Singly-even magic sums
        2. Doubly-even magic sums
      3. Complement sum
      4. Restriction to even magic sums
      5. Adjusting the square
      6. Square and cube sums
    2. Summation patterns of Dürer-type magic squares
      1. Even magic sums
      2. Odd magic sums
    3. Transformation Characteristics
      1. Standard position
      2. Transformation into another associated magic square
      3. Transformation into a most-perfect magic square
    4. Zigzag approach for semi-magic squares
      1. Construction
        1. First high zigzag pass
        2. First flat zigzag pass
        3. Second flat zigzag pass
        4. Second high zigzag pass
      2. Normal semi-magic square
      3. Adjusting a semi-magic square
      4. Transformation of a semi-magic into a magic square
    5. Foursome approach for magic squares
      1. Foursome square - any even magic sum
        1. Construction
        2. First and second pass: high and flat summit
        3. Third and fourth pass: flat and deep valley
        4. Normal square
        5. Adjusting the square
      2. Instant square - any magic sum
        1. Basic square
        2. Adjusting the square
      3. Instant Olgo square - any magic sum
      4. Balanced Instant Olgo square - any magic sum
        1. Balanced square; without a remainder
        2. Balanced square; a remainder of two
        3. Balanced square; a remainder of one
        4. Balanced square; a remainder of three
        5. Balanced square; an even magic sum only
  • Part II - Jupiter
    1. Melencolia - the modified Dürer magic square
      1. Original and the modified Dürer magic square
      2. Cloth hanger transformation
      3. Foursome attribute
      4. Presentation approaches
    2. Summation patterns of Melencolia-type magic squares
      1. Even magic sums
      2. Odd magic sums
      3. Flow of the summit and valley patterns
    3. Adjusting Melencolia-type magic squares - any magic sum
      1. Singly-even magic sums; without a remainder
        1. First pass: high summit
        2. Second pass: flat summit
        3. Third pass: flat valley
        4. Fourth pass: deep valley
        5. Completed square
        6. Simple forcing matrix to avoid calculations
      2. Doubly-even magic sums; a remainder of two
        1. First pass: high summit
        2. Second pass: flat summit
        3. Third pass: flat valley
        4. Fourth pass: deep valley
      3. Odd magic sums; a remainder of one
        1. First pass: high summit
        2. Second pass: flat summit
        3. Third pass: flat valley
        4. Fourth pass: deep valley
        5. Double set of complement pairs
      4. Odd magic sums; a remainder of three
        1. First pass: high summit
        2. Second pass: flat summit
        3. Third pass: flat valley
        4. Fourth pass: deep valley
      5. Odd magic sums; an alternative handling
        1. Odd magic sums; a remainder of one
        2. Odd magic sums; a remainder of three
      6. Transformation into another associated magic square
      7. Transformation into a most-perfect magic square
      8. Smaller magic sums
        1. Some approaches
        2. A new scenario
    4. Swinging Melencolia - any starting number in any cell
      1. Singly-even magic sums
        1. High summit
        2. Flat summit
        3. Deep valley
        4. Flat valley
        5. Any starting number in any cell
      2. Doubly-even and odd magic sums
        1. Doubly-even magic sum; remainder of two
        2. Odd magic sum; a remainder of one
        3. Odd magic sum; a remainder of three
      3. Psychometric swinging
      4. Concealing the Melencolia method
    5. 4x4 Musings
      1. Spectator's height
      2. Any number in any cell
      3. Spectator's year of birth
      4. Lightning magic year square
      5. Counting backwards
      6. Counting a sequence of odd or even numbers
      7. Disguised counting sequences
      8. Two personal numbers
      9. Annemann-like presentation of the magic year square
      10. Magic birthday square
        1. Graeco-Latin approach
        2. Arithmetical approach
        3. Three lucky numbers approach
        4. No-brainer approach
  • Part III - Mars
    1. Super-magic 5x5 square
      1. Any starting number
      2. Any magic sum
    2. Almost-sequential pandiagonal 5x5 magic square
      1. Any starting number in any cell
      2. Magic sum and closed cycle
      3. Any magic sum and any start cell
        1. Without a remainder
        2. A remainder of one
        3. A remainder of two
        4. A remainder of three
        5. A remainder of four
        6. Put it all together
    3. 5x5 Summation patterns
      1. Basic and pandiagonal magic patterns
      2. Cross and X magic patterns
      3. Knight's and exception moves
    4. Sigil of life
      1. Routine
      2. Explanation
      3. Another storyline
    5. Any number in any cell - forcing a magic sum
  • Part IV - Sun
    1. The 6x6 magic square
    2. New construction method
      1. Patterns
        1. Patterns I
        2. Patterns II
        3. Patterns III
      2. Any magic sum
      3. Any number in any cell
    3. Bordered 6x6 magic square
      1. Construction of the inlaid 4x4 magic square
      2. Construction of the outer border
      3. Alternative outer border
      4. "Left to right" addition
    4. One more thing
      1. Singly-even magic sums
      2. Inlaid square
      3. Bordered square
      4. Blowing up the thing further
  • Recommended Readings and final thoughts
  • Glossary

version 3.30, 171 A4-pages
word count: 34746 which is equivalent to 138 standard pages of text


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