The smallest possible rectangle board with all 8 numbers and a blank spot (custom-made)

6x4 is not possible (evidence left as exercise for the reader) Website used

Layout alt text: 0113M 24M5M MMM6M M8M7M MMMMM

12 points · 2 comments · view on lemmy.world

2 Comments

NeatNit@discuss.tchncs.de · 4 pts · 122d (1 reply)

Cool thought, and good job!

Of course, it's trivial to prove that 6x4 isn't possible, and naturally I instantly constructed in my head a rigorous proof of this obvious fact. But uhh, just for fun and maybe for the weaker mathematicians in the room (not me, certainly!), how would you go about proving that?

MousePotatoDoesStuff@lemmy.world · 1 pts · 122d

I guess start with placing the minimum 3x5 required for 8 and 7 to work, whether with missing mine facing up or right? There is only a handful of options from there and it's trivial enough to go through them.