# New Year Puzzle

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Complete the sequence

{1, 32; 2, 31}  {....}...{....}....

Any suggestions as to what it represents?

Edited by studiot

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Hint

{1, 32; 2, 31}, {?, ?; ?, ?}, {?, ?; ?, ?} , ...

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It looks like a sequence of which only one member/instant has been posted.

If those are two instances i 'd either go for 3,21 or for 3, 30(though 3, 30 seems too simple)

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6 hours ago, Roamer said:

It looks like a sequence of which only one member/instant has been posted.

If those are two instances i 'd either go for 3,21 or for 3, 30(though 3, 30 seems too simple)

Thanks

Each bracket is one term in the finite sequence and contains four numbers, which change from bracket to bracket.

The sequence has a modulus and cycles every  n terms around this modulus (in this case 32)

{1, 32; 2, 31}, {3, ?; 4, ?}, {?, ?; ?, ?} , ...

Hint 2 : Johannes was an old fashioned bookbinder.

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May be a 32 Page booklet ! for design and printing !

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1 hour ago, synergy29 said:

May be a 32 Page booklet ! for design and printing !

Well done, can you say more ?

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Posted (edited)

{1, 32; 2, 31}...{3, 30; 4, 29}...{5, 28; 6, 27} on to {15, 18; 16, 17}

8 sheets of paper to be printed on both front and back, then to be folded in the middle of the sheet

16 print jobs

1st sheet 1st print job are pages 1 and 32, 2nd print job are pages 2 and 31 so..."{1, 32; 2, 31}"

2nd sheet :3rd print job are pages 3 and 30, 4th print job are pages 4 and 29  so..."{3, 30; 4, 29}"

3rd sheet : 5th print job are pages 5 and 28, 6th print job are pages 6 and 27  so..."{5, 28; 6, 27}"

...

8th sheet : 15th print job are pages 15 and 18, 16th print job are pages 16 and 17  so..."{15, 18; 16, 17}"

Edited by et pet

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Should it not be (32, 1; 2, 31)...?

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Posted (edited)
On 3/29/2020 at 2:57 PM, J.C.MacSwell said:

Should it not be (32, 1; 2, 31)...?

Yes, your order, (32, 1; 2, 31)..., would be correct if the print job were to be set up for a Front to Back/Left to Right pamphlet or book.

However, I continued using the order that studiot had provide in his first 3 Posts,  {1, 32; 2, 31}, {3, ?; 4, ?}, {?, ?; ?, ?} , ...

The order might also be (1,32;31, 2)...,for a Back to Front/Right to Left pamphlet or book.

For example, a Japanese Manga : https://www.instructables.com/id/How-to-read-manga/

Edited by et pet
simplifying

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