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Cube Permutation
Static
Rules
• Each node must have nbit representation identified by C where n≥3
• C = 𝑎 𝑛−1 𝑎 𝑛−2…𝑎0
• 𝐴𝑑𝑑 𝑛𝑜𝑑𝑒 𝐶𝑖 = 𝑎 𝑛−1 𝑎 𝑛−2 … 𝑎𝑖 … 𝑎0
• New value 𝐶𝑖 = 𝑎 𝑛−1 𝑎 𝑛−2 … 𝑎𝑖 … 𝑎0 till 0 to n-1
3d cube permutation
• Nodes are
• 000
• 001
• 010
• 011
• 100
• 101
• 110
• 111
• Node 000
• Connections are
• 𝐶0 = 000 = 001
• 𝐶1 = 000 = 010
• 𝐶2 = 000 = 100
001000 010 100
3d cube permutation
• Node 001
• Connections are
• 𝐶0 = 001 = 000
• 𝐶1 = 001 = 011
• 𝐶2 = 001 = 101
001000 010 100011 101
3d cube permutation
• Node 010
• Connections are
• 𝐶0 = 010 = 011
• 𝐶1 = 010 = 000
• 𝐶2 = 010 = 110
001000 010 100011 101 110
3d cube permutation
• Node 011
• Connections are
• 𝐶0 = 011 = 010
• 𝐶1 = 011 = 001
• 𝐶2 = 011 = 111
001000 010 100011 101 110 111
3d cube permutation
• Node 100
• Connections are
• 𝐶0 = 100 = 101
• 𝐶1 = 100 = 110
• 𝐶2 = 100 = 000
001000 010 100011 101 110 111
3d cube permutation
• Node 101
• Connections are
• 𝐶0 = 101 = 100
• 𝐶1 = 101 = 111
• 𝐶2 = 101 = 001
001000 010 100011 101 110 111
3d cube permutation
• Node 110
• Connections are
• 𝐶0 = 110 = 111
• 𝐶1 = 110 = 100
• 𝐶2 = 110 = 010
001000 010 100011 101 110 111
3d cube permutation
• Node 111
• Connections are
• 𝐶0 = 111 = 110
• 𝐶1 = 111 = 101
• 𝐶2 = 111 = 011
001000 010 100011 101 110 111
Cube permutation

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Cube permutation

  • 2. Rules • Each node must have nbit representation identified by C where n≥3 • C = 𝑎 𝑛−1 𝑎 𝑛−2…𝑎0 • 𝐴𝑑𝑑 𝑛𝑜𝑑𝑒 𝐶𝑖 = 𝑎 𝑛−1 𝑎 𝑛−2 … 𝑎𝑖 … 𝑎0 • New value 𝐶𝑖 = 𝑎 𝑛−1 𝑎 𝑛−2 … 𝑎𝑖 … 𝑎0 till 0 to n-1
  • 3. 3d cube permutation • Nodes are • 000 • 001 • 010 • 011 • 100 • 101 • 110 • 111
  • 4. • Node 000 • Connections are • 𝐶0 = 000 = 001 • 𝐶1 = 000 = 010 • 𝐶2 = 000 = 100 001000 010 100
  • 5. 3d cube permutation • Node 001 • Connections are • 𝐶0 = 001 = 000 • 𝐶1 = 001 = 011 • 𝐶2 = 001 = 101 001000 010 100011 101
  • 6. 3d cube permutation • Node 010 • Connections are • 𝐶0 = 010 = 011 • 𝐶1 = 010 = 000 • 𝐶2 = 010 = 110 001000 010 100011 101 110
  • 7. 3d cube permutation • Node 011 • Connections are • 𝐶0 = 011 = 010 • 𝐶1 = 011 = 001 • 𝐶2 = 011 = 111 001000 010 100011 101 110 111
  • 8. 3d cube permutation • Node 100 • Connections are • 𝐶0 = 100 = 101 • 𝐶1 = 100 = 110 • 𝐶2 = 100 = 000 001000 010 100011 101 110 111
  • 9. 3d cube permutation • Node 101 • Connections are • 𝐶0 = 101 = 100 • 𝐶1 = 101 = 111 • 𝐶2 = 101 = 001 001000 010 100011 101 110 111
  • 10. 3d cube permutation • Node 110 • Connections are • 𝐶0 = 110 = 111 • 𝐶1 = 110 = 100 • 𝐶2 = 110 = 010 001000 010 100011 101 110 111
  • 11. 3d cube permutation • Node 111 • Connections are • 𝐶0 = 111 = 110 • 𝐶1 = 111 = 101 • 𝐶2 = 111 = 011 001000 010 100011 101 110 111