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Ponder This

April 2015

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Ponder This Challenge:

A 7x7x7 cube is centered at the origin of a three-dimensional grid. The exact middle-point of each cell contains one character from the Peter Pan story. All the cells outside the cube are filled with Captain Hooks. Inside the cube some of the cells contain Peter Pans and the others contain Wendys.

The Captain Hook team wins if any one Hook can see at least one Peter Pan, but no Wendy, when looking in the direction of any one of his 26 immediate neighbors. We assume that all cell walls are transparent and you can see through them in any given direction.

Find a way to put at least 161 Peter Pans in the cube without letting Captain Hook win.

Supply your answer as a list of 343 characters: P for Peter Pan and W for Wendy. Start from the top close left corner and move left to right; top to bottom; close to far.

We will post the names of those who submit a correct, original solution! If you don't want your name posted then please include such a statement in your submission!

We invite visitors to our website to submit an elegant solution. Send your submission to the

If you have any problems you think we might enjoy, please send them in. All replies should be sent to:


Challenge: 03/31/2015 @ 12:00 PM EST
Solution: 05/01/2015 @ 12:00 PM EST
List Updated: 03/31/2015 @ 12:00 PM EST

People who answered correctly:

James Dow Allen (04/01/2015 03:07 AM EDT)
Lorenz Reichel(04/01/2015 04:05 AM EDT)
Kang Jin Cho(04/02/2015 02:33 AM EDT)
*Don Dodson & David Dodson (04/02/2015 05:15 PM EDT)
Saverio Maresca(04/03/2015 03:17 AM EDT)
Dan Dima(04/03/2015 05:05 AM EDT)
Chuck Carroll(04/03/2015 06:54 AM EDT)
Graham Hemsley(04/03/2015 06:59 AM EDT)
Niketh Nair(04/03/2015 05:54 PM EDT)
*Robert Gerbicz(04/03/2015 08:10 PM EDT)
*Ariel Landau(04/04/2015 12:10 PM EDT)
Florian Fischer(04/04/2015 06:17 PM EDT)
Sean Egan (04/04/2015 09:21 PM EDT)
*Eli Biham (04/05/2015 10:00 AM EDT)
Jim Clare (04/05/2015 12:15 PM EDT)
Benjamin Phillabaum(04/05/2015 12:44 PM EDT)
*Motty Porat(04/05/2015 07:36 PM EDT)
Shirish Chinchalkar (04/05/2015 11:04 PM EDT)
LaurV(04/06/2015 08:02 AM EDT)
Harald Bögeholz(04/07/2015 03:13 PM EDT)
*Todd Will(04/07/2015 03:40 PM EDT)
Andreas Stiller(04/07/2015 06:21 PM EDT)
Piotr Nadczuk(04/08/2015 07:15 AM EDT)
Stefan Rüdrich(04/08/2015 11:13 AM EDT)
*Alex Wagner(04/09/2015 01:33 AM EDT)
John Tromp(04/09/2015 09:22 PM EDT)
Ricardo Koller(04/13/2015 12:30 AM EDT)
Joseph DeVincentis (04/13/2015 06:01 PM EDT)
Chintan Maggu (04/13/2015 11:15 PM EDT)
Zhizhong Zhou (04/14/2015 11:30 AM EDT)
*Emilio Del Tessandoro(04/14/2015 05:02 PM EDT)
Mohammed Koni(04/14/2015 07:03 PM EDT)
Peter Gerritson(04/15/2015 08:13 AM EDT)
*Ryan Ersland(04/16/2015 06:19 PM EDT)
*Dafni Harel(04/18/2015 10:26 AM EDT)
Daniel Bitin(04/19/2015 10:03 AM EDT)
*David Greer(04/19/2015 10:38 PM EDT)
Shouky Dan & Tamir Ganor (04/20/2015 03:25 PM EDT)
*Armin Krauss(04/21/2015 04:48 PM EDT)
Liubing Yu(04/23/2015 11:02 AM EDT)
Frank Methling(04/23/2015 02:15 PM EDT)
Jan Fricke(04/24/2015 04:41 PM EDT)
*Radu-Alexandru Todor (04/25/2015 06:56 AM EDT)
*Mark Pervovskiy(04/25/2015 10:55 AM EDT)
Tobias Zurell(04/26/2015 01:59 PM EDT)
Rajendran Thirupugalsamy(04/27/2015 12:21 AM EDT)
Stéphane Higueret(04/28/2015 05:24 PM EDT)
Suriya Subramanian (04/29/2015 08:12 AM EDT)
Aviv Nisgav(04/29/2015 11:25 AM EDT)
*Cadence Marseille (04/29/2015 12:12 PM EDT)
*Muralidhar Seshadri(04/29/2015 05:46 PM EDT)
*Stéphane Higueret (04/30/2015 12:17 AM EDT)
River Misaki (04/30/2015 07:42 AM EDT)
Erik Wünstel (04/30/2015 03:34 PM EDT)
Elendia(04/30/2015 03:42 PM EDT)

Attention: If your name is posted here and you wish it removed please send email to the