All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Extending tic-tac-toe (Posted on 2014-10-23) Difficulty: 3 of 5
In a standard 3x3 tic-ta-toe there are 8 distinct possibilities to create “three in a row”- 3 horizontal, 3 vertical and 2 diagonal.

How many ways are there in a three-dimensional 5x5x5 tic-tac-toe?

How about 6x6x6 ?

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution 6x6x6 solution | Comment 3 of 6 |
It turns out the method for 5x5x5 can very easily be extended to 6x6x6.  The numbers are the same, there are just more.
Layers 1,2,5,6 each total 356
Layers 3,4 each total 552
Total of layers 2528
Half of this 1264

It should be easy to give a general formula from here.

  Posted by Jer on 2014-10-23 10:05:28
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information