8x8x8

For fans of Killer Sudoku, Samurai Sudoku and other variants

8x8x8

Postby Smythe Dakota » Sat Sep 09, 2006 12:04 pm

How about the following:

A three-dimensional, 8x8x8 puzzle, with each row, column, shaft, and 2x2x2 box containing each digit 1 through 8.

Bill Smythe
Smythe Dakota
 
Posts: 534
Joined: 11 February 2006

Re: 8x8x8

Postby Smythe Dakota » Wed Sep 13, 2006 1:44 am

What, no takers yet?! Surely one of you gurus would LOVE concocting a puzzle like this.

In case anybody is thinking no such animal is possible, here is one example of a legal 8x8x8 grid:

Each level:

ABCDEFGH
CDEFGHAB
EFGHABCD
GHABCDEF
BCDEFGHA
DEFGHABC
FGHABCDE
HABCDEFG

where the letters translate as follows:

Level 1: ABCDEFGH=12345678
Level 2: ABCDEFGH=56781234
Level 3: ABCDEFGH=23456781
Level 4: ABCDEFGH=67812345
Level 5: ABCDEFGH=34567812
Level 6: ABCDEFGH=78123456
Level 7: ABCDEFGH=45678123
Level 8: ABCDEFGH=81234567

Bill Smythe
Smythe Dakota
 
Posts: 534
Joined: 11 February 2006

Postby Pyrrhon » Sat Sep 16, 2006 7:44 pm

I don't like sudoku variants with so much cells, but I can give you a 4x4x4.

Fill in the grid so that every row, every column, and shaft contains the digits 1 through 4 (no boxes).

Image
Pyrrhon
 
Posts: 240
Joined: 26 April 2006

Postby Pyrrhon » Sun Sep 17, 2006 7:01 am

And to show how it tastes if the grid becomes greater a 5x5x5 sudoku.

Fill in the grid so that every row, every column, and shaft contains the digits 1 through 5 (no boxes).

Image
Pyrrhon
 
Posts: 240
Joined: 26 April 2006


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