I know,
So....
start again.
split the 12 into 3 groups of 4..
label them 1-12
Step 1:
put 1,2,3,4 on the left side and 5,6,7,8 on the right side.
If the left side goes down goto 2a, if the right side goes down, go to 2b.
Step 2a:
put 1,2,5 and 6 on the left and 3,7,9,10 on the right side.
if the left goes down again, go to 3aa, if the right side goes down, go to 3ab.
Step 3aa:
put 1,7 on the left and 9,10 on the right.
if the left goes down - 1 is too heavy and is fake
if the right goes down, 7 is too light,
if it balances, 2 is the fake (too heavy)
Step 3ab:
Put 3, 5 on the left and 9,10 on the right.
-If the left side goes down , then 3 is too heavy.
-If the right side goes down, 5 is too light
-If it balances, then 6 is too light.
Step 2b:
place the same diamonds on the scale 1,2,5,6 on left.. 3,7,9,10 on the right
If the left side goes down, go to 3ba, if the right side goes down goto 3bb.
Step 3ba:
Put 3,5 on the left and 9,10 on the right.
-If the left side goes down then 5 is fake(too heavy).
-If the right side goes down, then #3 is fake (too light)
-If it balances, then 6 is too heavy.
Step 3bb:
Put 1, 7 on the left and 9, 10 on the right.
- If the left side goes down, then 7 is too heavy
- right side goes down, 1 is fake (too light)
- if they balance, #2 is fake (too light)