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

4 posts
• Page **1** of **1**

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

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

Bill Smythe

- Smythe Dakota
**Posts:**537**Joined:**11 February 2006

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

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:**537**Joined:**11 February 2006

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