Office Applications and Entertainment, Magic Cubes

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List of Attachments (note 4):

Attachment 1

Magic  Cubes 3 x 3 x 3, MC =  42  (3d)

Attachment 2

Magic  Cubes 3 x 3 x 3, MC =  42, Obtained by Rotation   (3d)

Attachment 3

Magic  Cubes 3 x 3 x 3, MC =  42, Obtained by Reflection (3d)

Attachment 4

Magic  Cubes 3 x 3 x 3, MC =  42, Base Cubes (3d)

Attachment 3.1.3

Magic  Cubes 4 x 4 x 4, MC = 130, Class Example

Attachment 3.1.4

Magic  Cubes 4 x 4 x 4, MC = 130, Class Example (3d)

Attachment 3.2.1

Magic  Cubes 4 x 4 x 4, MC = 130, Collection of 192 Cubes

Attachment 3.2.2

Magic  Cubes 4 x 4 x 4, MC = 130, Collection of 192 Cubes (3d)

Attachment 3.5.1

Sudoku Cubes 4 x 4 x 4, MC =   6, Magic Space Diagonals

Attachment 3.5.2

Magic  Cubes 4 x 4 x 4, MC = 130, Based on Sudoku Cubes and PM Square B1

Attachment 3.5.3

Magic  Cubes 4 x 4 x 4, MC = 130, Based on Pan Magic Squares, Collection {B}

Attachment 3.5.4

Magic  Cubes 4 x 4 x 4, MC = 130, Class based on Square 1

Attachment 3.5.5

Magic  Cubes 4 x 4 x 4, MC = 130, Unique Base Squares

Attachment 3.6.1

Sudoku Cubes 4 x 4 x 4, MC =   6, Almost Perfect

Attachment 3.6.6

Sudoku Cubes 4 x 4 x 4, MC =   6, Associated

Attachment 3.6.7

Sudoku Cubes 4 x 4 x 4, MC =   6, Pantriagonal/Associated

Attachment 3.6.4

Quaternary   4 x 4 x 4, MC =   6, Pantriagonal

Attachment 3.6.5

Quaternary   4 x 4 x 4, MC =   6, Pan Diagonal/Triagonal

Attachment 3.7.1

Magic  Cubes 4 x 4 x 4, MC = 130, Class Example (Rotation/Reflection)

Attachment 3.7.2

Magic  Cubes 4 x 4 x 4, MC = 130, Class Example (Planar Shifts)

Attachment 3.7.3

Magic  Cubes 4 x 4 x 4, MC = 130, Collection of 120 Cubes

Attachment 3.8.1

Magic  Cubes 4 x 4 x 4, MC = 130, Class Example (Rotation/Reflection)

Attachment 3.8.2

Magic  Cubes 4 x 4 x 4, MC = 130, Class Example (Planar Shifts)

Attachment 4.1

Magic  Cubes 5 x 5 x 5, MC = 315, Class based on Walter Trump's Cube (3d)

Attachment 4.2.1

Magic  Cubes 5 x 5 x 5, MC = 315, Perfect, Fixed Top Square

Attachment 4.2.2

Magic  Cubes 5 x 5 x 5, MC = 315, Perfect, Transformation (1)

Attachment 4.2.3

Magic  Cubes 5 x 5 x 5, MC = 315, Perfect, Transformation (2)

Attachment 4.3.1

Magic  Cubes 5 x 5 x 5, MC = 315, Concentric, Fixed Border

Attachment 4.3.2

Magic  Cubes 5 x 5 x 5, MC = 315, Concentric, Fixed Border (3d)

Attachment 4.3.3

Magic  Cubes 5 x 5 x 5, MC = 315, Concentric, Fixed Inner Cube

Attachment 4.3.4

Magic  Cubes 5 x 5 x 5, MC = 315, Concentric, Fixed Inner Cube (3d)

Attachment 4.7.1

Magic  Cubes 5 x 5 x 5, MC = 315, Semi Pan Magic Cubes

Attachment 4.7.2

Magic  Cubes 5 x 5 x 5, MC = 315, Semi Pan Magic Cubes (3d)

Attachment 4.8.1

Magic  Cubes 5 x 5 x 5, MC = 315, Class Example (Rotation/Reflection)

Attachment 4.8.2

Magic  Cubes 5 x 5 x 5, MC = 315, Class Example (Planar Shifts)

Attachment 4.9.1

Magic  Cubes 5 x 5 x 5, MC = 315, Class Example (Rotation/Reflection)

Attachment 4.10.1

Magic  Cubes 5 x 5 x 5, MC = 315, Class Example (Rotation/Reflection)

Attachment 4.10.2

Magic  Cubes 5 x 5 x 5, MC = 315, Class Example (Planar Shifts)

Attachment 5.3.1

Magic  Cubes 5 x 5 x 5, MC =  10, Sudoku Comparable Cubes (1)

Attachment 5.3.2

Magic  Cubes 5 x 5 x 5, MC =  10, Sudoku Comparable Cubes (2)

Attachment 5.3.3

Magic  Cubes 5 x 5 x 5, MC =  10, Sudoku Comparable Cubes (3)

Attachment 5.4.1

Magic  Cubes 5 x 5 x 5, MC = 315, Semi Pan Magic Cubes

Attachment 5.5.1

Magic  Cubes 5 x 5 x 5, MC =  10, Sudoku Comparable Cubes (4)

Attachment 5.6.1

Magic  Cubes 5 x 5 x 5, MC =  10, Sudoku Comparable Cubes (5)

Attachment 5.8.1

Magic  Cubes 5 x 5 x 5, MC =  10, Sudoku Comparable Cubes (6)

Attachment 5.7.1

Magic  Cubes 5 x 5 x 5, MC =  10, Quinary Cubes

Attachment 8.1.1

Magic  Cubes 6 x 6 x 6, MC = 651, Historical Magic Cubes

Attachment 8.1.2

Magic  Cubes 6 x 6 x 6, MC = 651, Historical Magic Cubes (3d)

Attachment 8.5.2

Magic  Cubes 6 x 6 x 6, MC = 651, Borders, Symmetrical Edges

Attachment 8.5.3

Magic  Cubes 6 x 6 x 6, MC = 651, Borders, Symmetrical Edges (3d)

Attachment 8.6.2

Magic  Cubes 6 x 6 x 6, MC = 651, Perfect, Miscellaneous Center Cubes

Attachment 8.6.3

Magic  Cubes 6 x 6 x 6, MC = 651, Perfect, Miscellaneous Top Squares

Attachment 8.6.4

Magic  Cubes 6 x 6 x 6, MC = 651, Perfect, Plane Permutations

Attachment 8.7.3

Magic  Cubes 6 x 6 x 6, MC = 651, Pantriagonal, Associated

Attachment 8.7.1

Magic  Cubes 6 x 6 x 6, MC = 651, Class Example (Planar Shifts)

Attachment 8.7.2

Magic  Cubes 6 x 6 x 6, MC = 651, Class Example (Rotation/Reflection)

Attachment 6.5.1

Magic  Cubes 6 x 6 x 6, MC =  21, Trenkler Cubes, Simple

Attachment 6.5.2

Magic  Cubes 6 x 6 x 6, MC = 651, Simple Magic Cubes

Attachment 6.5.3

Magic  Cubes 6 x 6 x 6, MC =  21, Trenkler Cubes, Associated

Attachment 6.5.4

Magic  Cubes 6 x 6 x 6, MC = 651, Associated Magic Cubes

Attachment 6.5.31

Magic  Cubes 6 x 6 x 6, MC =  21, Trenkler Cubes, Associated, Magic Cntr Planes

Attachment 6.5.41

Magic  Cubes 6 x 6 x 6, MC = 651, Associated Magic Cubes, Magic Cntr Planes

Attachment 6.5.42

Magic  Cubes 6 x 6 x 6, MC = 651, Associated Magic Cubes, s-Magic

Attachment 10.2.1

Magic  Cubes 7 x 7 x 7, MC = 1204, Historical Magic Cubes

Attachment 10.3.1

Magic  Cubes 7 x 7 x 7, MC = 1204, Pandiagonal Associated Magic Cubes

Attachment 10.3.2

Magic  Cubes 7 x 7 x 7, MC = 1204, Perfect, Plane Permutations

Attachment 10.4.1

Magic  Cubes 7 x 7 x 7, MC = 1204, Pantriagonal Associated Magic Cubes

Attachment 10.4.2

Magic  Cubes 7 x 7 x 7, MC = 1204, Class Example (Rotation/Reflection)

Attachment 10.4.3

Magic  Cubes 7 x 7 x 7, MC = 1204, Class Example (Planar Shifts)

Attachment 6.5.7

Magic  Cubes 8 x 8 x 8, MC = 2052, Pantriagonal Magic Cube, Hor Magic Planes

Attachment 6.5.8

Magic  Cubes 8 x 8 x 8, MC = 2052, Simple Magic Cube, Hor PM Planes

Higher Order Magic Cubes

Attachment 6.2.1

Composed Simple Magic Cube (Example)

m = 9, MC = 3285

Attachment 6.2.2

Composed Simple Magic Cube (Constructed)

m = 9, MC = 3285

Attachment 6.2.3

Simple Magic Cubes         (Line Format)

m = 3, MC = 42

Attachment 6.3.1

Decomposition Associated Pantriagonal Cube

m = 7, MC = 1204

Attachment 6.3.2

Associated Pantriagonal Magic Cubes

m = 5, 7, 11, 13

Attachment 6.3.3a

Associated Simple Magic Cubes

m = 3, 9

Attachment 6.3.3b

Associated Pantriagonal Magic Cube

m = 9, MC = 3285

Attachment 6.3.5

Factor Cubes B1, B2, B3 and resulting Cube C1

m = 9

Attachment 6.3.6

Associated Pantriagonal Magic Cubes

m = 4, 8, 12

Attachment 6.3.4

Non-associated Pantriagonal Magic Cubes, 2D-Compact, Complete

m = 4, 8, 12

Attachment 6.3.7

Associated Pandiagonal Magic Cubes

m = 7, 11, 13

Attachment 6.3.8

Associated Pandiagonal Magic Cubes

m = 9, 25

Attachment 6.3.10

Associated Pandiagonal Magic Cubes

m = 15, MC = 25320

Attachment 6.3.12

Associated Nasik Magic Cubes

m = 11, 13, 17, 19

Attachment 6.3.13

Associated Nasik Magic Cubes

m = 9, 25

Attachment 6.3.14

Associated Nasik Magic Cubes

m = 15, MC = 25320

Attachment 6.3.16

Associated Nasik Magic Cubes

m = 21, MC = 97251

Attachment 6.3.18

Associated Nasik Magic Cubes

m = 35, MC = 750330

Attachment 6.5.5

Associated Magic Cube

m = 12, MC = 10374

Attachment 6.5.9

Associated Magic Cube, Hor Magic Planes

m = 16, MC = 32776

Single Even Magic Cubes

Attachment 9.2.1

Concentric Magic Cube

m = 10, MC = 5005

Attachment 9.2.2

Pantriagonal Associated Magic Cube

m = 10, MC = 5005

Attachment 9.2.3

Perfect Diagonal Magic Cube

m = 10, MC = 5005

Attachment 9.3.1

Simple Magic Cube

m = 14, MC = 19215

Attachment 9.3.2

Pantriagonal Associated Magic Cube

m = 14, MC = 19215

Attachment 9.3.3

Perfect Diagonal Magic Cube

m = 14, MC = 19215

Attachment 6.5.6

Associated Magic Cube

m = 18, MC = 52497

Attachment 9.4.1

Composed, Associated Magic Cube

m = 18, MC = 52497

Attachment 9.4.2

Pantriagonal Associated Magic Cube

m = 18, MC = 52497

Attachment 9.4.3

Perfect Diagonal Magic Cube

m = 18, MC = 52497

List of Exhibits

Exhibit III

Sudoku Comparable Cubes

m = 5, MC = 10

Exhibit IV

Magic Rectangles

Exhibit V

Associated Magic Cubes, Magic Center Planes

m = 6, MC = 21

Exhibit VIIIa

Perfect Concentric Magic Cubes, Center Cubes

m = 6

Exhibit VIIIb

Perfect Concentric Magic Cubes, Border Construction

m = 6, MC = 651


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