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Spins proof of (12 balls 3 weighings) - (Don-Proof)

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spintronic

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Nov 7, 2009, 10:23:21 PM11/7/09
to
1,2,3,4 - 5,6,7,8, = Equal

1,2,3 - 9,10,11 = Equal


1 - 12 (12 = Heavy or Light)


***********************
For this set, I will use lighter
(though the same applies to heavier)


1,2,3,4 - 5,6,7,8 = Equal


1,2,3 - 9,10,11 = Unequal (9-11 lighter)


9 - 10 = Equal (11 is the lighter ball)
9 - 10 = Unequal (9/10 is light/heavier)


**************************
**************************


1,2,3,4 - 5,6,7,8 = unequal (5-8 heavy)


125 - 347 = unequal (3-7 heavy)


------------------------------
1 - 2 = uneven = heavy/light


1 - 2 = even = 7 = heavy
-----------------------------
****************************************


125 - 347 = unequal (3-7 light)


3 - 4 = light/heavy


***************************
125 - 347 = equal


6 - 8 = heavy/light


Don Cates

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Nov 8, 2009, 1:24:34 AM11/8/09
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spintronic wrote:
> 1,2,3,4 - 5,6,7,8, = Equal
>
> 1,2,3 - 9,10,11 = Equal
>
>
> 1 - 12 (12 = Heavy or Light)
>
>
> ***********************
> For this set, I will use lighter
> (though the same applies to heavier)
>
>
> 1,2,3,4 - 5,6,7,8 = Equal
>
>
> 1,2,3 - 9,10,11 = Unequal (9-11 lighter)
>
>
> 9 - 10 = Equal (11 is the lighter ball)
> 9 - 10 = Unequal (9/10 is light/heavier)
>
>
> **************************
> **************************
>
>
> 1,2,3,4 - 5,6,7,8 = unequal (5-8 heavy)
>
Or 1-4 light from same result. (left side up, right side down)

>
> 125 - 347 = unequal (3-7 heavy)
>
means 7 heavy or 1,2 light

>
> ------------------------------
> 1 - 2 = uneven = heavy/light
>
>
> 1 - 2 = even = 7 = heavy
> -----------------------------
correct here.

> ****************************************
>
>
> 125 - 347 = unequal (3-7 light)
>

means 5 heavy or 3,4 light


>
> 3 - 4 = light/heavy
>

Or if even 5 heavy

Also correct


>
> ***************************
> 125 - 347 = equal
>
>
> 6 - 8 = heavy/light
>
>

Hey, you finally got it right. Congratulations.

--
--
Don Cates ("he's a cunning rascal" PN)

spintronic

unread,
Nov 8, 2009, 12:29:18 PM11/8/09
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> Don Cates ("he's a cunning rascal" PN)- Hide quoted text -
>
> - Show quoted text -

Why TY.

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