Discussing Map Metrics

March 3, 2013. Apparently CM gives overincreased results for some Multiban Maps. The human solution for Erim Sever, All Levels, Map 361 has p,i,t = 505.129.19 and gives Creativity Metric, C = d/v ~ 83 which is apparently too high. Indeed, the solution is almost straightforward and purely "geometrical", but it equals this map to some possibly smaller, but harder maps. Below are the details: :::playpath=505.129.19 |x.0.u|x.0.r|x.0.r|x.0.d|x.0.d|x.0.d|x.0.l|x.0.l|x.0.l|x.0.U|x.0.d|x.0.r|x.0.r|x.0.r|x.0.u |x.0.u|x.0.u|x.0.l|x.0.l|x.0.l|x.0.D|x.0.D|x.0.u|x.0.u|x.0.l|x.0.u|x.0.l|x.0.l|x.0.d|x.0.d |x.0.d|x.0.R|x.0.R|x.0.l|x.0.l|x.0.u|x.0.u|x.0.u|x.0.r|x.0.r|x.0.d|x.0.r|x.0.r|x.0.r|x.0.r |x.0.d|x.0.d|x.0.d|x.0.l|x.0.l|x.0.d|x.0.l|x.0.l|x.0.U|x.0.R|x.0.d|x.0.r|x.0.r|x.0.u|x.0.r |x.0.u|x.0.u|x.0.u|x.0.l|x.0.l|x.0.l|x.0.d|x.0.D|x.0.D|x.0.R|x.0.d|x.0.r|x.0.d|x.0.r|x.0.U |x.0.U|x.0.d|x.0.r|x.0.r|x.0.r|x.0.u|x.0.u|x.0.l|x.1.U|x.1.U|x.1.U|x.0.R|x.0.R|x.0.R|x.0.R |x.1.d|x.1.d|x.1.d|x.0.d|x.0.r|x.0.d|x.0.d|x.0.l|x.0.l|x.0.L|x.1.U|x.1.U|x.0.r|x.0.r|x.0.r |x.0.u|x.0.u|x.0.r|x.0.u|x.0.L|x.0.d|x.0.l|x.0.U|x.0.r|x.0.u|x.0.L|x.0.d|x.0.l|x.0.l|x.0.l |x.0.l|x.1.U|x.0.R|x.0.R|x.0.R|x.0.R|x.0.R|x.0.R|x.1.d|x.1.l|x.1.l|x.1.l|x.1.l|x.1.l|x.1.u |x.1.l|x.1.l|x.1.d|x.1.R|x.1.R|x.1.R|x.1.R|x.1.R|x.1.R|x.0.l|x.0.d|x.0.d|x.0.d|x.0.l|x.0.l |x.0.l|x.0.l|x.0.U|x.0.d|x.0.r|x.0.r|x.0.r|x.0.r|x.0.u|x.0.u|x.0.u|x.0.l|x.0.l|x.0.l|x.0.l |x.0.l|x.1.r|x.1.U|x.0.R|x.0.R|x.0.R|x.0.R|x.0.u|x.0.r|x.0.D|x.0.l|x.0.d|x.0.R|x.0.R|x.1.d |x.1.l|x.1.l|x.1.l|x.1.l|x.1.l|x.1.l|x.1.u|x.1.u|x.1.u|x.1.u|x.1.r|x.1.r|x.1.r|x.1.d|x.1.D |x.1.D|x.1.u|x.1.u|x.1.u|x.1.l|x.1.l|x.1.l|x.1.d|x.1.d|x.1.d|x.1.d|x.1.r|x.1.r|x.1.R|x.1.R |x.1.R|x.0.l|x.0.d|x.0.d|x.0.l|x.0.l|x.0.l|x.0.l|x.0.U|x.0.d|x.0.r|x.0.r|x.0.r|x.0.r|x.0.u |x.0.u|x.0.u|x.0.l|x.0.l|x.0.l|x.0.l|x.0.l|x.1.r|x.1.U|x.0.R|x.0.R|x.0.R|x.0.R|x.0.u|x.0.r |x.0.D|x.0.l|x.0.d|x.0.R|x.1.d|x.1.l|x.1.l|x.1.l|x.1.l|x.1.l|x.1.u|x.1.R|x.1.l|x.1.l|x.1.u |x.1.u|x.1.u|x.1.r|x.1.r|x.1.r|x.1.d|x.1.d|x.1.D|x.1.l|x.1.d|x.1.R|x.1.R|x.1.R|x.0.d|x.0.d |x.0.l|x.0.l|x.0.l|x.0.l|x.0.U|x.0.d|x.0.r|x.0.r|x.0.r|x.0.r|x.0.u|x.0.u|x.0.u|x.0.l|x.0.l |x.0.l|x.0.l|x.0.l|x.1.r|x.1.U|x.0.R|x.0.R|x.0.R|x.0.R|x.0.R|x.1.d|x.1.l|x.1.l|x.1.l|x.1.l |x.1.l|x.1.l|x.1.u|x.1.u|x.1.u|x.1.u|x.1.l|x.1.u|x.1.l|x.1.l|x.1.d|x.1.d|x.1.d|x.1.r|x.1.R |x.1.l|x.1.l|x.1.u|x.1.u|x.1.u|x.1.r|x.1.r|x.1.d|x.1.r|x.1.d|x.1.D|x.1.D|x.1.l|x.1.d|x.1.R |x.1.R|x.1.R|x.1.R|x.1.R|x.1.R|x.0.d|x.0.d|x.0.d|x.0.l|x.0.l|x.0.l|x.0.l|x.0.U|x.0.d|x.0.r |x.0.r|x.0.r|x.0.r|x.0.u|x.0.u|x.0.u|x.0.l|x.0.l|x.0.l|x.0.l|x.0.l|x.1.r|x.1.U|x.0.R|x.0.R |x.0.R|x.0.R|x.0.d|x.0.r|x.0.U|x.1.d|x.1.l|x.1.l|x.1.l|x.1.l|x.1.l|x.1.l|x.1.u|x.1.u|x.1.u |x.1.u|x.1.l|x.1.u|x.1.l|x.1.l|x.1.d|x.1.R|x.1.D|x.1.l|x.1.d|x.1.R|x.1.R|x.1.l|x.1.u|x.1.u |x.1.R|x.1.R|x.1.d|x.1.D|x.1.D|x.1.l|x.1.d|x.1.R|x.1.R|x.1.R|x.1.R|x.1.R|x.1.R|x.0.d|x.0.d |x.0.d|x.0.l|x.0.l|x.0.l|x.0.l|x.0.U|x.0.d|x.0.r|x.0.r|x.0.r|x.0.r|x.0.u|x.0.u|x.0.u|x.0.l |x.0.l|x.0.l|x.0.l|x.0.l|x.1.r|x.1.U|x.0.R|x.0.R|x.0.R|x.0.R|x.1.d|x.1.l|x.1.l|x.1.l|x.1.u |x.1.u|x.1.u|x.1.u|x.1.l|x.1.L|x.1.L|x.1.L|x.1.u|x.1.l|x.1.D|x.1.D|x.1.l|x.1.d|x.1.R|x.1.R |x.1.l|x.1.u|x.1.u|x.1.r|x.1.r|x.1.d|x.1.D|x.1.D|x.1.l|x.1.d|x.1.R|x.1.R|x.1.R|x.1.R|x.1.R |x.1.R|x.0.d|x.0.r|x.0.d|x.0.d|x.0.l|x.0.l|x.0.l|x.0.l|x.0.U|x.0.d|x.0.r|x.0.r|x.0.r|x.0.r |x.0.u|x.0.u|x.0.l|x.0.u|x.0.l|x.0.l|x.0.l|x.0.l|x.1.r|x.1.U|x.0.R|x.0.R|x.1.d|x.1.d|x.1.r |x.1.r|x.1.r|x.1.r|x.1.u|x.1.u|x.1.l|x.1.u|x.1.u|x.0.R|x.1.D Parameters: Internal cells = 79 Blocks (walls), w = 19 Empty cells, s = 50 Dynamic units, u = 10 Density ... u/s, g = 0.2 E x p e c t e d A u d i e n c e P a r a m e t e r s Volumability, v = rules * breeds * cells = 2.0859375 breeds factor = 1 ( number, min, sense = 3, 3, 12 ) cells factor = 2.0859375 ( number, min, sense = 69.5, 16, 64 ) rules factor = 1 ( number, min, sense = 1, 2, 8 ) Path, Inter, ReInter: p, i, t = 505, 129, 19 Flat Diff., F = p+i+t = 653 Progr. Diff., P = (p+2i+3t)/6 = 136.66666666666666 Effective Int., I = 2(t+i)/3 = 98.66666666666667 Difficulty, d = I+g(p-i) = 173.86666666666667 Flat Creativity, F/v ~ 313.0486891385768 Creativity Metric, C = d/v ~ 83.3518102372035 Whirps = C/maxc ( 10-scale ) ~ 4.3 Whirps = C/maxc ( % ) ~ 42.7% Known maxc, 194.9. Copyright (c) 2013 Konstantin Kirillov