# the king's balls

Posers and Puzzles 14 Sep '04 19:54
1. 14 Sep '04 19:54
the king has a set of perfectly sphirical cristal balls, which he keeps in a chest which is a perfect rectangular prism on the inside. when one shakes the chest, nothing jiggels. if you take some of the balls out and rearange the balls, then still nothing jiggels. this can be done again, and again, and then once more. if each ball is 1 inch in diamiter, then what is the smallest # of balls and the smallest dimensions for the box possible?
2. 14 Sep '04 21:06
the king has a set of perfectly sphirical cristal balls, which he keeps in a chest which is a perfect rectangular prism on the inside. when one shakes the chest, nothing jiggels. if you take some of the balls out and rearange the balls, then still nothing jiggels. this can be done again, and again, and then once more. if each ball is 1 inch in diamiter, then what is the smallest # of balls and the smallest dimensions for the box possible?
Smallest dimension of the box? or of the inside of the box?

~ Cheshire Cat ðŸ˜€
3. 15 Sep '04 19:04
Originally posted by Cheshire Cat
Smallest dimension of the box? or of the inside of the box?

~ Cheshire Cat ðŸ˜€
the smallest possibel demensions (all three) of the inside of the box.
4. 15 Sep '04 22:16
1 x 1 x 2 working on the premise that one can include the balls taken out when rearranging them in the box.
5. 15 Sep '04 23:07
the king has a set of perfectly sphirical cristal balls, which he keeps in a chest which is a perfect rectangular prism on the inside. when one shakes the chest, nothing jiggels. if you take some of the balls out and rearange the balls, then still nothing jiggels. this can be done again, and again, and then once more. if each ball is 1 inch in diamiter, then what is the smallest # of balls and the smallest dimensions for the box possible?
Are the balls distinct, ie can a triangle of three touching balls be arranged in 2 (mirror image) ways?
6. Acolyte