RE: A new golf "Cardtrick" has started

2004-03-03 Thread Terje Kristensen
y [mailto:[EMAIL PROTECTED] > Sent: Wednesday, March 03, 2004 6:32 PM > To: [EMAIL PROTECTED] > Subject: Re: A new golf "Cardtrick" has started > > > Hello All! > > I thought I'd open the following up to discussion. > > In most of the solutions, we ha

Re: A new golf "Cardtrick" has started

2004-03-03 Thread Ton Hospel
In article <[EMAIL PROTECTED]>, Stephen Turner <[EMAIL PROTECTED]> writes: > Maybe someone else can shed some more intuition here. > Why ? You already basically answered it :-) An ofset of 2 on all digits is ternary 222, which is just 1 below ternary 1000, 3**m. And the one extra comes fro

Re: A new golf "Cardtrick" has started

2004-03-03 Thread Stephen Turner
I think it's a bit more obvious than Juho's making it. I think it's reasonably straightforward that the formula is (a+3b+9c). To see this, notice that groups of three cards end up in the same place in the second deal, and groups of nine cards in the third deal. Or just try out some values: n = 15

Re: A new golf "Cardtrick" has started

2004-03-03 Thread Ton Hospel
In article <[EMAIL PROTECTED]>, "Riley" <[EMAIL PROTECTED]> writes: > Hello All! > > I thought I'd open the following up to discussion. > > I guess my question is this: Is this just a coincidence, the > fact that our y-intercept is also a power of 3, and not > just any power of the three,

Re: A new golf "Cardtrick" has started

2004-03-03 Thread Juho Snellman
On Wed, Mar 03, 2004 at 11:32:24AM -0600, Riley wrote: > What strikes me as particularly odd is the fact that we all > needed to add a certain amount to the above expression, > namely @F/2 - 27, where the y-intercept is 27 (or 3**3). Actually no. Those who used @F/2 needed to add 28 (since @F/2 is

Re: A new golf "Cardtrick" has started

2004-03-03 Thread Riley
Hello All! I thought I'd open the following up to discussion. In most of the solutions, we have something similar to: -lap $_=$F[s/.. / /g/2+$_+3*$&+9*$'-27] (The above is Stephen Turner's) All of the solutions contain an inner expression of the form: 9a + 3b + 1c, (or 3**2 a + 3**1 b + 3**0 c