Editorial Reviews. About the Author. Annie Gottlieb is a freelance writer specializing in psychology. She has contributed to many publications, including. The cube: keep the secret. [Annie Gottlieb; Slobodan D Pešić] -- A game of imagination that purports to hold a secret and is believed to be of ancient Sufi origin. Get Free Read & Download Files The Cube Keep The Secret PDF. THE CUBE KEEP THE SECRET. Download: The Cube Keep The Secret. THE CUBE KEEP .
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The proposed method requires more time of implementation and hardware cost . In , Richard Meyers has invented a perfect eighth-order magic cube that is known by Meyers cube. The Meyers cube is interested in several symmetries properties which assume that the cube is associative and every orthogonal and diagonal line sum to the same specific number.
The corners values in the inner small cube as well as the corners values of each rectangular in the Meyers cube also sum to a constant certain number. The prominent feature for the symmetries properties makes that is possible for a tantalizing number and for rearrangements of the cube . In J. Barkley Rosser and Robert J.
Walker are two researchers who have introduced a new approach for constructing a perfect eighth-order magic cube. They have also explained and proved that the perfect pan diagonal cubes are found for whole orders with multiples of 8 and also for all the odd orders that are more than 8 order . In , John Hendricks submitted new ideas and published many refereed related papers. He developed a simple and clear technique in constructing of an odd order magic cube with N order.
In addition, he published an extended dimension of the hyper cubes with four, five and six dimensions; also he applied an elegant work and great share in the magic square area and in the methods development for the magical constructions approaches .
The resultant key can be used later to encrypt as a symmetric key cipher. The Diffie-Hellman protocol suffers from the man-in-the-middle attack which is considered a form of eavesdropping attack that happens when the malicious attacker or eavesdropper monitors, modifies and retransmits the intercepted information across the communication session between the two users by impersonating the personality of the authorized author.
So, there is merely one ordinary magic square of the third order, but by doing some reflections, transpositions and rotations, it will get seven other undifferentiated cases of magic square as stated in Figure 3. Figure 3. There are n2! The construction of magic square acts a great challenge for the intelligent search methods for existing various magic square .
Therefore; the methods that work for an odd order of magic cube will not work for doubly even or singly even methods and vice versa. The proposed method works for all types of magic cube and with any order and it depends basically on the magic square techniques.
The proposed method allows to construct several magic cubes with sequential numbers or with constant differences among the series of numbers. The work for six squares surfaces will give one magic cube and the work for twelve squares will constitute two magic cubes and so on, so the work with cube should be multiplied of six numbers to introduce several cubes regarding the need or to the task requirements.
The following example explains the core notation for the magic cube construction. At the beginning, build six separated magic squares of any order corresponding to the six surfaces of the cube dimensions as shown in Figure 4. Arrange the six surfaces squares of the cube by the following way: the first surface should be put opposite to the sixth surface and the second surface opposite to the fifth surface and finally places the third surface opposite to the forth surface with the corresponding colours respectively.
Six Faces of Folding Magic Cube After constructing and coloring the six surfaces dimensions for the magic cube as it is illustrated in Figure 4.
The summation for each pair of analogues colored square will give the same result. This method generalizes the design of magic cube with N order regardless of the type of magic square whether odd order or even order squares. The proposed method is fairly easy, since it depends mainly on the magic square construction methods, and all what the designer needs is just how to build six magic square sequentially or with constant difference value between each pair of the numbers in the square matrix, whereby each one of this magic square will represent the surface or dimension for the magic cube configuration.
The next step for the designer will be how to arrange each square in the proper order to constitute the regular cube in order to maintain the properties of magic cube, where the sum of rows, columns and the diagonals from all directions are the same. Magic cubes are more than playing games with numbers like the chessboard or Rubik cube, but they substantially depend upon the mathematical rules in their construction.
Magic cubes are embedded in several mathematical fields like the number theory, matrices, and combinatorics.
There exist eleven of distinct flat shapes that can be folded-up to construct a shape of cube as they were mentioned in the previous chapter. These shapes have been coloured with three distinctive colours green, yellow and orange each pair of opposite sides are coloured with same colour to constitute a folded cube with six surfaces each two opposite surfaces with the same colour as shown in Figure 5.
The purpose of these colours is to keep the arrangement of the magic square as we shall explain in the following sections. Figure 5.
The cross shape will be partitioned into several basic parts in order to study its properties in detail. Figure 6. The second part of the cube will involve the rows and columns of magic cube with circular movement in both directions vertically and horizontally and the traversing process that includes the tracks of values with rows and columns of the magic cube from all directions. These operations also will produce the same constant number of The traversing process involves the tracks values with rows and columns of the magic cube from all directions.
These operations will also produce the same constant number of Recently, several published research papers embed the magic square and magic cube properties in many aspects and in several contributions such as: 1. Cryptography and Information Security. Public Key and Secret Sharing.
Remote Access Control.
Applied Mathematics. Number Theory. Determinants and Matrices Field. Then try the five minute personality test. It will still amaze the target and lead her to believe you have psychic abilities. Take a pen and piece of paper, or napkin so she can write down her answers. Better yet have her draw a picture as you tell the story. You are walking alone in the desert and you come across a cube.
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How big is the cube? What color is the cube? How does that color make you feel? Can you see inside the cube? How big is the cube compared to the desert? You see a ladder. Is the ladder leaning on the cube? What color is the ladder? What is the distance between the cube and the ladder? You see a horse.
What is the distance between the cube and the horse? What color is the horse? Is the horse tied up or roaming freely? Is the horse wearing a saddle? There is a storm. What is the distance between the storm and the cube?
Is the size of the storm big or small? Is the storm passing by or staying in place? Is the storm violent, thunder, and lightning or calm and light rain?
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Find a copy in the library Finding libraries that hold this item Electronic books Additional Physical Format:D Research Scholar Omar A. The starting element in the diagonal cube begins from one corner of the cube that comprises the upper layer dimensions through the lower left corner.
So please study the links ive provided to prove to you that one simply cant make these correlations up. Chandrasekar have introduced a new approach for secure data transmission through the cloud environment and sharing networks as well as during the Secure Socket Layer SSL by the RSA combined with magic square, to provide additional security layer to the cryptosystem.
Linked Data More info about Linked Data. Therefore; the proposed method treated with the positions of the magic square that are corresponding to the ASCII values as an alternative. The magic cube is based on the folding six of series magic squares with sequential or with period numbers of n-dimensions that represent the faces or dimensions of magic cube.
Perhaps the most vulnerable attack on the public key cipher is the man-in- the-middle attack, in which a third malicious party impersonates the personality of the authorized person by the intercepting and modifying the public key. D Awarded his M. You are walking alone in the desert and you come across a cube.
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