Re: [piecepack] Re: 'Weighted' coins for keeping score?

["Tim Schutz" <hexchex@...>]

    If I may suggest, you can also use a binary system of numbers 1,2,4,8,16,32, in which you just add the numbers. The weights are smaller then your system but easier to work with. And one of the advantages is you can estimate a number rather quickly. If you place the weights like so  16,4,  I know already know two things about the total with out adding them up. One, the total is less then 32 (the next higher weight) and more then 16 (the highest weight showing). Two, it's an even number because of the #1 weight is not being used. I know the max. number (with 6 coins) in this is only 63 and yours would be quite higher. 
    If you want to keep the weights that you use I have another If I may suggestion. Use the trinary system. 1,3,9,27,81,243 etc.In this system the weights are assigned a multiplier value of 0,1,2 If the weight is not there its a 0, one side would be worth 1x the value of the weight and the other side 2x the value of the weight. It's still easy to quick estimate points this way. Eample: if I have a 27(x1),3(x2),1(1) I know right off the the total is less then 81(the next highest weight) and more then 27( the highest weight being used.) I also know it's and even number because any time odd numbers are added an even amount of time it's alway even. If they're added and odd amout of times it's odd. 

Just a thought
Tim
  ----- Original Message ----- 
  From: Thorn 
  To: piecepack@yahoogroups.com 
  Sent: Friday, January 11, 2002 4:37 PM
  Subject: Re: [piecepack] Re: 'Weighted' coins for keeping score?


  Tim Schutz wrote:
  > 
  >   So if you wanted to show 20 points you would have to have  -1  +3   -9   +27

  Well, yeah.  :)  Except it'd be more like -1 -9 +3 +27.  Sure, it's
  math.  But join me in chanting the litany...

  "Fifteen Two, Fifteen Four, Double Run for Eight, and His Nibs makes
  Thirteen."

  Yeah, it's not how everybody will choose to track scores.  But it won't
  hurt any function of my piecepack in the least, so I'm adding it as an
  option.

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