# Comparison of average displacement of all self-avoiding # walks on square 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 1.60947571 0.00000000 0.00000000 3 2.55555556 2.04626754 0.00000000 0.00000000 4 3.20000000 2.55702553 0.00000000 0.00000000 5 3.70422535 2.95120531 0.00000000 0.00000000 6 4.27692308 3.39052940 0.00000000 0.00000000 7 4.73112339 3.74768939 1.00000000 1.00000000 8 5.24949290 4.14988556 2.00000000 1.70710678 9 5.67863290 4.48714660 1.90909091 1.63129745 10 6.15963719 4.86101288 2.88000000 2.32747478 11 6.57091078 5.18425446 2.85263158 2.32400705 12 7.02374651 5.53710275 3.76315789 2.99681476 13 7.42067385 5.84902471 3.78457447 3.03210771 14 7.85198724 6.18560213 4.64086022 3.67683302 15 8.23660333 6.48781723 4.68785926 3.72836087 16 8.65068971 6.81131438 5.49174553 4.34038794 17 9.02469486 7.10516502 5.56326417 4.40756444 18 9.42447302 7.41774232 6.31580386 4.98444547 19 9.78922002 7.70429845 6.41069599 5.06737009 20 10.17682609 8.00755171 7.11671183 5.61106258 21 10.53337595 8.28765230 7.23119622 5.70757033 22 10.91044590 8.58280996 7.89666804 6.22169681 23 11.25965512 8.85713196 8.02715659 6.32949587 24 11.62746963 9.14516037 8.65742578 6.81759615