Here's a little table showing the radii of each shell and the number of parts. Unbelievably, I did the math (in Excel) and each part in each concentric shell ought to have the same volume as the innermost sphere (radius=1).

Code: Select all

`Radius Parts`

1 none (undivided)

2 7

3 19

4 37

5 61

6 91

7 127

8 169

9 217

10 271

11 331

12 397

13 469

14 547

15 631

16 721

Total parts = 4096

If anyone knows how to divide up a sphere as I'm asking please let me know--and please, use LOTS of pictures!