## The comeback of brainteasers

Anything goes, but keep it seemly...
Thanks Glyn,

Please can you confirm that the semicolon between 4 and 8 has significance or is it a typo?
Bigtone53

Posts: 413
Joined: 19 September 2005

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

Looks like this one may surrender quickly.
Glyn

Posts: 357
Joined: 26 April 2007

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.
udosuk

Posts: 2698
Joined: 17 July 2005

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).
Glyn

Posts: 357
Joined: 26 April 2007

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?
Bigtone53

Posts: 413
Joined: 19 September 2005

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...?
udosuk

Posts: 2698
Joined: 17 July 2005

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.
Glyn

Posts: 357
Joined: 26 April 2007

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.
Glyn

Posts: 357
Joined: 26 April 2007

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.
udosuk

Posts: 2698
Joined: 17 July 2005

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?
Bigtone53

Posts: 413
Joined: 19 September 2005

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?
Glyn

Posts: 357
Joined: 26 April 2007

So is yellow what you were looking for? I hope so, so that I can relax before tarek does his stuff on Monday.
Bigtone53

Posts: 413
Joined: 19 September 2005

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

Posts: 357
Joined: 26 April 2007

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.
udosuk

Posts: 2698
Joined: 17 July 2005

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.

Bigtone53

Posts: 413
Joined: 19 September 2005

PreviousNext