# Comparison of average displacement of all self-avoiding # walks on cubic lattice # #Hugo Pfoertner http://www.pfoertner.org/ # #Number of steps #| Average Manhattan displacement #| | Average Euclidean displacement #| | | Average Manhattan disp. #| | | | Average Euclidean disp, #N All self-avoiding walks Trapped walks only 2 2.00000000 1.53137085 0.00000000 0.00000000 3 2.68000000 1.90756889 0.00000000 0.00000000 4 3.27272727 2.27576785 0.00000000 0.00000000 5 3.73684211 2.57742374 0.00000000 0.00000000 6 4.20772776 2.88447193 0.00000000 0.00000000 7 4.61267969 3.14916568 0.00000000 0.00000000 8 5.02460525 3.41777429 0.00000000 0.00000000 9 5.38981038 3.65714212 0.00000000 0.00000000 10 5.76027727 3.89990811 0.00000000 0.00000000 11 6.09602441 4.12087382 1.00000000 1.00000000 12 6.43641203 4.34473094 2.00000000 1.56066017 13 6.74979577 4.55147264 1.74235808 1.40945381 14 7.06715996 4.76066605 2.68403909 1.95895241 15 7.36265459 4.95592455 2.43655674 1.82028704 16 7.66158404 5.15329666 3.32803463 2.35391462 17 7.94229551 5.33901420 3.10225234 2.22918767 18 8.22601149 5.52658016 3.94099029 2.73984710 19 8.49422384 5.70419566 3.74428477 2.63196109