What Do You Know About Magic Hypercubes?

10 Questions | Total Attempts: 102

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What Do You Know About Magic Hypercubes?

In the field of mathematics, magic hypercubes are k-dimensional conceptions of magic squares, magic cubes, and magic tesseracts that increase their dimensions. Now, let's see what you know about magic hypercubes by taking this short, intelligent quiz.


Questions and Answers
  • 1. 
    Which of the following is denoted as the magic constant in magic hypercubes?
    • A. 

      Mk(n)+2

    • B. 

      Mk(n)+1

    • C. 

      Mk(n)

    • D. 

      Mk(n)-1

  • 2. 
    Out of all the theorems used in hypercube, who proved the one below? 'A p-dimensional magic hypercube of order n exists if and only if p > 1 and n is different from 2 or p = 1.'
    • A. 

      Marian Trenkler

    • B. 

      John Hendricks

    • C. 

      James Stoner

    • D. 

      Kathleen Ollerenshaw

  • 3. 
    What is the directions within the hypercube called?
    • A. 

      Pathfinders

    • B. 

      Digit changing

    • C. 

      Reflection

    • D. 

      Aspect

  • 4. 
    What is the formula of Aspectical variants?
    • A. 

      NH~R perm(0..n+2); R = ∑n-1 ((reflect(k)) ? 2k : 0) ; perm(0..n-1) a permutation of 0..n-1

    • B. 

      NH~R perm(0..n+1); R = ∑n-1 ((reflect(k)) ? 2k : 0) ; perm(0..n-1) a permutation of 0..n-1

    • C. 

      NH~R perm(0..n-1); R = ∑n-1 ((reflect(k)) ? 2k : 0) ; perm(0..n-1) a permutation of 0..n-1

    • D. 

      NH~R perm(0..n-2); R = ∑n-1 ((reflect(k)) ? 2k : 0) ; perm(0..n-1) a permutation of 0..n-1

  • 5. 
    What is described as the change of [i] into [perm(i)] alongside the given "axial"-direction?
    • A. 

      Monogonal permutation

    • B. 

      Digitchanging

    • C. 

      Component permutation

    • D. 

      KnightJump construction

  • 6. 
    Which formula denotes the Latin prescription construction—modular equations? 
    • A. 

      LP = ( ∑n-2 LP x + LP ) % m

    • B. 

      LP = ( ∑n+2 LP x + LP ) % m

    • C. 

      LP = ( ∑n+1 LP x + LP ) % m

    • D. 

      LP = ( ∑n-1 LP x + LP ) % m

  • 7. 
    Which procedure makes use of the isomorphism of every hypercube that changes the hypercube?
    • A. 

      Dynamic numbering

    • B. 

      Monogonal permutation

    • C. 

      Digitchanging

    • D. 

      Pathfinders

  • 8. 
    Who proved the theorem that 'a p-dimensional magic hypercube of order n exists if and only if p > 1 and n is different from 2 or p = 1'? 
    • A. 

      C. Planck

    • B. 

      Marian Trenkler

    • C. 

      Samuel Walker

    • D. 

      J. R. Hendricks

  • 9. 
    Which procedure is used when calculating the sum for p-multimagic hypercubes? 
    • A. 

      Faulhaber's formula and divide it by mn-1

    • B. 

      Faulhaber's formula and divide it by mn-2

    • C. 

      Faulhaber's formula and divide it by mn+1

    • D. 

      Faulhaber's formula and divide it by mn+2

  • 10. 
    Which of the following is a variation of magic hypercubes?
    • A. 

      Faulhaber magic hypercubes

    • B. 

      Nasik magic hypercubes

    • C. 

      Marian magic hypercubes

    • D. 

      Planck magic hypercubes

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