>Hilmar,
>
>My boys will get a kick out of this. Are there any spaces (hollow gaps on the inside) when the problem is solved?
No. The resulting pyramid has all 20 spheres fit together as close as spheres can get. The figure is a tetraeder, 4 spheres on each side.
Difference in opinions hath cost many millions of lives: for instance, whether flesh be bread, or bread be flesh; whether whistling be a vice or a virtue; whether it be better to kiss a post, or throw it into the fire... (from Gulliver's Travels)