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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 and 5x5 Magic Squares.

Table of Contents:

  • Introduction
  • Part I - The 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. Complementary pair sum
      4. Restriction to even magic sums
      5. Adjusting the square
      6. Square and cube sums
    2. The 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. The zigzag approach for semi-magic squares
      1. Construction
        1. The first great zigzag pass
        2. The first little zigzag pass
        3. The second little zigzag pass
        4. The second great zigzag pass
      2. Normal square
      3. Adjusting the square
      4. Transformation into a magic square
    5. The foursome approache for magic magic square
      1. The foursome square
        1. Construction
        2. The first and second pass: great and little summit
        3. The third and fourth pass: little and great valley
        4. Normal square
        5. Adjusting the square
      2. The instant square
        1. The basic square
        2. Adjusting the square
      3. The Olgo square
      4. The balanced Olgo square
        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 - The modified Dürer magic square
    1. The modified Dürer magic square
      1. The original and the modified Dürer magic square
      2. The cloth hanger transformation
      3. The foursome attribute
    2. Summation patterns of modified Dürer-type magic squares
      1. Even magic sums
      2. Odd magic sums
      3. Flow of the summit and valley patterns
    3. Adjusting the modified Dürer magic square
      1. Even magic sums; without a remainder
        1. The first pass: great summit
        2. The second pass: little summit
        3. The third pass: little valley
        4. The fourth pass: great valley
        5. Completed square
        6. Simple forcing matrix to avoid calculations
      2. Even magic sums; a remainder of two
        1. The first pass: great summit
        2. The second pass: little summit
        3. The third pass: little valley
        4. The fourth pass: great valley
        5. Transformation into a most-perfect magic square
      3. Odd magic sums; a remainder of one
        1. The first pass: great summit
        2. The second pass: little summit
        3. The third pass: little valley
        4. The fourth pass: great valley
        5. Double set of complementary pairs
      4. Odd magic sums; a remainder of three
        1. The first pass: great summit
        2. The second pass: little summit
        3. The third pass: little valley
        4. The fourth pass: great valley
        5. Transformation into another associated magic square
      5. Smaller magic sums
    4. 4x4 Musings
      1. Spectator's height
      2. Any number in any cell
      3. Spectator's year of birth
      4. Counting backward
      5. Counting sequence of odd or even numbers
      6. Disguised counting sequences
      7. Two personal numbers
      8. Lightning magic year square
      9. Annemann-like presentation of the magic year square
      10. Magic birthday square
      11. Conventional magic birthday square
      12. Disguised implementation of the summit-valley patterns
  • Part III - Musings
    1. Super-magic squares
      1. Any starting number
      2. Any magic sum
    2. Almost-sequential pandiagonal magic squares
      1. Any starting number in any cell
      2. Magic sum force
      3. Any magic sum
        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. Summation patterns
      1. Basic and pandiagonal patterns
      2. Cross and x patterns
      3. Knight's and exception Moves
    4. Sigil of life
  • Recommended Readings and final thoughts
  • Glossary

version 3.13, 120 A4-pages
word count: 26063 which is equivalent to 104 standard pages of text


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