Mathematica 67 63
ListPlot@NestList[(#+RandomChoice@{{0,0},ListPlot@ReIm@NestList[#/2+RandomChoice[{2,0},{1,2}-1})^(1/2&,{03)]&,0}.,8!] 
Mathematica 68 67
Region@Polygon@ReIm@Nest[Tr/@Tuples[{p,#}/2]&,{p={0,1,-1}^(1/3)},#]&6] 
Mathematica 67
ListPlot@NestList[(#+RandomChoice@{{0,0},{2,0},{1,2}})/2&,{0,0},8!]
Mathematica 68
Region@Polygon@ReIm@Nest[Tr/@Tuples[{p,#}/2]&,{p={0,1,-1}^(1/3)},#]&
Mathematica 63
ListPlot@ReIm@NestList[#/2+RandomChoice[{0,1,-1}^(1/3)]&,0.,8!]
Mathematica 67
Region@Polygon@ReIm@Nest[Tr/@Tuples[{p,#}/2]&,{p={0,1,-1}^(1/3)},6]
Mathematica 67
ListPlot@NestList[(#+RandomChoice@{{0,0},{2,0},{1,2}})/2&,{0,0},8!]
Mathematica 92 68
Graphics@Polygon@Nest[Join@@(Mean/@#&/@#~Tuples~2~Partition~3&Region@Polygon@ReIm@Nest[Tr/@#)&,{{@Tuples[{0p,0#}/2]&,{2,p={0},{1,-1}}^(1/3)},3]#]& 
Mathematica 67
ListPlot@NestList[(#+RandomChoice@{{0,0},{2,0},{1,2}})/2&,{0,0},8!]
Mathematica 92
Graphics@Polygon@Nest[Join@@(Mean/@#&/@#~Tuples~2~Partition~3&/@#)&,{{{0,0},{2,0},{1,1}}},3]
Mathematica 67
ListPlot@NestList[(#+RandomChoice@{{0,0},{2,0},{1,2}})/2&,{0,0},8!]
Mathematica 68
Region@Polygon@ReIm@Nest[Tr/@Tuples[{p,#}/2]&,{p={0,1,-1}^(1/3)},#]&
Mathematica 67
ListPlot@NestList[(#+RandomChoice@{{0,0},{2,0},{1,2}})/2&,{0,0},8!]
Mathematica 92
Graphics@Polygon@Nest[Join@@(Mean/@#&/@#~Tuples~2~Partition~3&/@#)&,{{{0,0},{2,0},{1,1}}},3]
Mathematica 67
ListPlot@NestList[(#+RandomChoice@{{0,0},{2,0},{1,2}})/2&,{0,0},8!]
Mathematica 92
Graphics@Polygon@Nest[Join@@(Mean/@#&/@#~Tuples~2~Partition~3&/@#)&,{{{0,0},{2,0},{1,1}}},3]
Mathematica 67
ListPlot@NestList[(#+RandomChoice@{{0,0},{2,0},{1,2}})/2&,{0,0},8!]
Mathematica 92
Graphics@Polygon@Nest[Join@@(Mean/@#&/@#~Tuples~2~Partition~3&/@#)&,{{{0,0},{2,0},{1,1}}},3]