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by **Bigtone53** » Fri May 30, 2008 2:25 pm

Thanks Glyn,

Please can you confirm that the semicolon between 4 and 8 has significance or is it a typo?

by **Glyn** » Fri May 30, 2008 2:32 pm

Ah you spotted that. Yes, the semicolon is intentional.

Looks like this one may surrender quickly.

by **udosuk** » Sat May 31, 2008 4:20 am

Glyn wrote:Looks like this one may surrender quickly.

Judging from the result of your previous one, I find this remark highly optimistic.

Hopefully Bigtone53 or others can work it out before tarek's deserved turn next Monday. :!:

by **Glyn** » Sat May 31, 2008 10:01 am

The semi colon is important but to help I'll restate the problem to point you in the right direction. (I hope)

I've added the terms of two series by mistake can you separate the trivial ones out and identify something that sounds edible and more importantly the colour that it has taken on.

4;8,16,2,... I could continue but it might give the game away.

If that fails I'll give the next term(s).

by **Bigtone53** » Sat May 31, 2008 1:13 pm

OK, stabs in the dark time.

1. Do the numbers relate to letters?

2. Are they in base 10? The unexpected arrival of the semicolon might suggest base 11, as well as the need to eliminate trivial 1s.

3. Base 12, ie the commas are relevant?

4. Taking trivial ones out of the given numbers and turning into letters gives C;GOA . Any relevance?

by **udosuk** » Sat May 31, 2008 1:45 pm

Very good educated guesses Bigtone53.

I'll ask one more question:

Glyn wrote:4;8,16,2,... I could continue but it might give the game away.

Does it mean the series goes like 4;8,16,2,4;8,16,2,4;8,16,2...?

by **Glyn** » Sat May 31, 2008 1:45 pm

Bigtone in answer to your questions.
Questions 1,2,3 all No.
Question 4 very good but don't turn them to letters and leave the punctuation there. Don't forget you might need those ones for another purpose later as well.

Now I'll let you continue.

by **Glyn** » Sat May 31, 2008 1:56 pm

Matt just spotted your query. No it does not continue in that way.

My answer to BigTone53's query number 4 is the key. You are almost within Googling Range now. The next number is fairly large and it's a long time before it gets exceeded again.

by **udosuk** » Sat May 31, 2008 2:30 pm

Okay the googling tipoff works.

Got the edible thing but still working out the colour connection.

Bigtone53 gets most credits so cheering for him to find it before tomorrow as I'm about to go to sleep now.

This one is more mathematical than I originally thought. :idea:

by **Bigtone53** » Sat May 31, 2008 2:40 pm

OK. also got the edible chart thing, can see the next number is 292 (or perhaps 293, with the unwanted ones), and then the missing ones (or twos), all leading to 355/113. No thoughts on colour through yet or indeed the significance of semi-colon.

Further thought - Yellow?

by **Glyn** » Sat May 31, 2008 2:59 pm

Well done both in finding that. The semi-colon is not always used but it nicely differentiates the integer part so I thought it might help.

Now what will you do with the ones, must be the world's most boring sequence of numbers. ZZZzzzz. Is that the numbers or just me rabbiting on?

by **Bigtone53** » Sat May 31, 2008 3:02 pm

So is yellow what you were looking for? I hope so, so that I can relax before tarek does his stuff on Monday.

by **Glyn** » Sat May 31, 2008 3:11 pm

BigTone53. I guess you have cracked it. The exact shade of Pi's crust was Golden.

by **udosuk** » Sat May 31, 2008 4:06 pm

Glyn wrote:The exact shade of Pi's crust was Golden.

To clarify, we're talking about continued fractions here.

The "circular ratio" Pi=3.1415926535... is represented as 3 +1/( 7 +1/( 15 +1/( 1 +1/( 292 +1/( ...
i.e. 3;7,15,1,292,...

The "golden ratio" Phi=1.6180339887... is represented as 1 +1/( 1 +1/( 1 +1/( 1 +1/( 1 +1/(...
i.e. 1;1,1,1,1,...

Therefore while the former sounds like the food pie, the latter is connected to the golden colour.

Also, in the Olympic Games, finishing as #1 wins you a Gold Medal.

by **Bigtone53** » Sat May 31, 2008 4:16 pm

My yellow rationale does not sound great. I was distracted by the guy who came up with the 355/133, who lived in the Yangtze (yellow river) region.

I should have picked up on the golden 1/(1+1/(1+1/(1+1 etc. I have seen it enough times.

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