Puzzles #697, #698 & #699 - The Shape of an L Dissection

These three are.. a bit strange at first glance, so I'll present the puzzles first with a brief explanation, and then a longer description afterwards.

One night I couldn't sleep, as often happens, and started thinking about puzzles, as also often happens. I ended up thinking about trying to specify a large empty area for a puzzle with only a single rule: divide the grid into L trominos. That's it. I pretty quickly found an empty 6x6.

puzz.link interface      penpa interface

I then wondered if this construction could tile vertically - it could not, but I did find an empty 6x8 - surely this was as big as it could go.

puzz.link interface      penpa interface

Just as I was about to give up and try to go back to sleep again, I had one last idea, and by some miracle it actually worked, and I found a way to specify an entire empty 7x7 space with just L tromino tiling. I wonder if bigger is possible?

puzz.link interface      penpa interface

But why was I even thinking about this sort of shape dissection in the first place? Well, it turns out to have the same answer as to why I jumped straight to region division for LS56, which turns out to be the same reason I gravitated to Light and Shadow-likes a couple years ago. Lunarch has been working on another puzzle game for the past months, and I've been hard at work on the puzzle side of this game as well. There's so much more than just this little teaser shows...

In other news, as of about today I can share up to 172 of my Islands of Insight puzzles, as long as I only provide static images for those puzzles, and do not myself provide a means of solution checking those puzzles. I'll have to filter through my archives for what I consider the best of the bunch, and I'll probably put together a single PDF collection of some of my highlights from the game. This is completely separate from the unused prototype puzzles I alluded to however many posts ago, which will have solving interfaces and solution checking.

I've been busy, even when this blog hasn't been. It's been hard to find the drive to keep updating it given the overlap with what I've been doing for work (spreadsheets for organizing and the like), but I'll try to keep on top of things at least a little better going forward. No more 6 month backlogs. I hope.