For Solid ("Euclidean Geometry") Spheres

Mass ---> Perimeter^3 ...(Dimension D=3)

Double the size--->Octuple Mass

For crumbled paper balls (non-Euclidean objects)

M-->P^DM

SO:

LOG (M) = DM LOG(P) + C

DM: Fractal Dimension, 2<DM<3

M: MASS(Scale), P: PERIMETER(string)

NEWSPAPER
Perimeter (cm)	Mass (g)	Log(Perimeter)	Log(Mass)
30.6	22,7	1.486	1.356
22.3	11.1	1.348	1.045		Fractal Dimension D=	2.4525
16.7	5.4	1.223	0.732
12.1	2.7	1.083	0.431
10.5	1.4	1.021	0.146

Printer Paper
Perimeter (cm)	Mass (g)	Log(Perimeter)	Log(Mass)
13.4	4.95	1.127	0.694
10	2.45	1.000	0.389		Fractal Dimension D=	2.1241
6.5	1.2	0.813	0.079
5.3	0.61	0.724	-0.214
3.7	0.32	0.568	-0.495

Play-Doh Balls are expected to be "almost Euclidean" : D = 3

Play-Doh
Perimeter (cm)	Mass (g)	Log(Perimeter)	Log(Mass)
28.7	473.5	1.458	2.675
26.5	385.8	1.423	2.586		Fractal Dimension D=	2.9047
22.9	265.7	1.360	2.424
17.6	115.4	1.245	2.062
13.3	52	1.124	1.716