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avatar+893 

Answer: 15

 

I tried drawing out the places where the knight can land:

But I got 10, not 15.

 Jul 27, 2019
 #1
avatar
+2

 

...what is the most number of squares in a 4x4 checkerboard that a knight can visit without visiting any square more than once? 

 

I believe I need clarification of the term "visit" as used.  Is a visit limited to the final landing square of the knight's move, or does it include the squares that the knight passes through to get to the landing square? 

.

 Jul 27, 2019
 #2
avatar+893 
+2

I think it's lmited to the landing square.

dgfgrafgdfge111  Jul 27, 2019
 #3
avatar+770 
+2

https://docs.google.com/drawings/d/18VUDtt4VGmKuuBbjQnJKq53dKr23V1RdCXHqAZNkiEo/edit?usp=sharing

 

you can cross over the same spot but not land on the same spot also you can trace the dots

 

edit:

new link for every is avalibe here

https://docs.google.com/drawings/d/18VUDtt4VGmKuuBbjQnJKq53dKr23V1RdCXHqAZNkiEo/edit?usp=sharing

travisio  Jul 27, 2019
edited by travisio  Jul 28, 2019
 #4
avatar+893 
+1

I can't see the drawing because it says "You need permission". Could you please publish it to the web or make it so that anyone with the link can see it? Thanks in advance.

dgfgrafgdfge111  Jul 28, 2019
edited by dgfgrafgdfge111  Jul 28, 2019
edited by dgfgrafgdfge111  Jul 28, 2019
 #5
avatar+23041 
+4

OSL4#29

\(\begin{array}{|c|c|c|c|} \hline \color{red}1 & 12 & 3 & 8 \\ \hline 6 & 9 & 14 & 11 \\ \hline 13 & \color{red}2 & 7 & 4 \\ \hline &5& 10 & \color{blue} 15 \\ \hline \end{array} \)

 

laugh

 Jul 28, 2019
 #6
avatar+893 
+3

Thanks for the great solution, Heureka!!!!

dgfgrafgdfge111  Jul 28, 2019
 #7
avatar+23041 
+3

Thank you dgfgrafgdfge111 !

 

laugh

heureka  Jul 28, 2019

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