07-06-2017, 06:29 PM
Vote 8
![[Image: XtThU84.jpg]](http://i.imgur.com/XtThU84.jpg)
Quote:
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Vote for Us! (July)
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07-07-2017, 01:31 AM
Vote 6 (110/97/2169/766)
![[Image: Rnk00x5.gif]](http://i.imgur.com/Rnk00x5.gif)  undoge: Credit & Hugs to Ruby for the sign, and to Guu for the smileys! undoge:Hide your chicken nuggers, hide your heads, the Sundoge is coming and she'll hat everyone! Quote:This signature is so overloaded... 
07-07-2017, 04:17 AM
#4
Curious about me and the characters I play? See the 'Staff' page! See also the rosters for my characters Samus Aran or Enel if you'd like to see examples of well-formatted rosters. Hope you enjoy the Omniverse!
07-07-2017, 04:38 AM
Vote 2
07-07-2017, 05:36 AM
Voted
The square root of the number of winnable lines in a 3 by 3 by 3 nought and crosses (tic tac toe) game (i.e. number of ways to get 3 Xs in a row on cube grid, diagonals allowed). You can do it without counting the lines. [spoiler]7 This one is pretty cool, so I'm going to generalise it. Suppose you've got a grid of n dimensions and side length k (picture it as a cube or square if it makes it easier for you). Now, surround that grid with an outer layer that's 1 cell thick (so you've now got a new grid with a side length of k+2). Each winnable line in the original grid will go through a distinct pair of cells in the outer layer that was just added. So the number of winnable lines is therefore [(k+2)^n - k^n]/2. Specifically to the cube case in the question: surround that 3x3x3 grid with a layer of cells that is 1 thick. So now you've got a 5x5x5 grid. Each line in the 3x3x3 grid will go through a distinct pair of cells (one on each side of the new outer layer). So, that would equal (5^3 - 3^3)/2 lines. Which give 49. The square root of 49 is 7. Pretty cool right? I have a super complicated proof for it as well. And a less complicated one. But I figured the geometric/visual one was probably best for you guys. I spend like half a year of my life dicking about with noughts and crosses so I'm damn well subjecting you guys to it.[/spoiler] 
07-07-2017, 07:23 AM
Voted 8!
"So you'd pursue the deeper truth? It isn't one the weak could bear."
"Prove yourself ready to face it. I'll not hold back. My needle is lethal and I'd feel no sadness in a weakling's demise."
"Show me you can accept this Kingdom's past and claim responsibility for its future." 
07-07-2017, 08:13 AM
Vote 3
118/104/2177/774 Daniel Wrote:gonna milk the shit out of those milkies Gildarts Wrote:Sorry if you got diabetes from this, and sorry again if you were offended by that comment because you do have diabetes. Alex Wrote:clowns don't have marriage rights 
07-07-2017, 10:12 AM
Vote 9
Quote:
07-08-2017, 12:39 AM
Vote 3, achieved!
07-08-2017, 01:13 AM
#5
Curious about me and the characters I play? See the 'Staff' page! See also the rosters for my characters Samus Aran or Enel if you'd like to see examples of well-formatted rosters. Hope you enjoy the Omniverse!
07-08-2017, 03:20 AM
Vote 7 (130/110/2186/784)
undoge: Credit & Hugs to Ruby for the sign, and to Guu for the smileys! undoge:Hide your chicken nuggers, hide your heads, the Sundoge is coming and she'll hat everyone! Quote:This signature is so overloaded... |
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