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Some nested cubes based on some web art. includes scad and stl files. only advanced makers can have some idea of getting them into filament, you may have to make wth variable higher. here is the final scad code, set the rotation to the number you want, change the width, use more cubes, and after is the first version: __________________ wth = 1.5;//width of bars rtn = 90/17;//can be used as rotation xt = 2;//spacing for(h = [1 : 23]) { rotate([h*4,0,h*4]) difference(){ wth = 1.5+3/h;//solidify size mod cube(size = [xt*h,xt*h,xt*h], center = true); cube(size = [xt*h,xt*h-wth,xt*h-wth], center = true); cube(size = [xt*h-wth,xt*h,xt*h-wth], center = true); cube(size = [xt*h-wth,xt*h-wth,xt*h], center = true); } } ___________________________ easier version: wth = 1.1;//width of bars for(h = [0 : 17]) { rotate([h*5,0,0]) difference(){ cube(size = [h,h,h], center = true); cube(size = [h,h-wth,h-wth], center = true); cube(size = [h-wth,h,h-wth], center = true); cube(size = [h-wth,h-wth,h], center = true); } }

cubes within cubes

cube^3, three hollow cubes, printed in one go

Working on doubling metric spaces, we construct generalised dyadic cubes adapting ultrametric structure. If the space is complete, then the existence of such cubes and the mass distribution principle lead into a simple proof for the existence of doubling measures. As an application, we show that for each $\epsilon>0$ there is a doubling measure having full measure on a set of packing dimension at most $\epsilon$.

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