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
View original on lemmy.world
6x4 is not possible (evidence left as exercise for the reader) Website used
Layout alt text: 0113M 24M5M MMM6M M8M7M MMMMM
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?
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.