First big success was about a week ago. I'd spent most of my day at work distracted, thinking about what other shapes I could try and knock out with the heptominoes (rectangles were getting a tad old at this point). I can't quite remember how I came to the conclusion that a 29x29 rectangle with a missing central 9x9 gap and 4 extra holes (to allow the harbour heptomino to fit) seemed doable, but I did. Of course, actually doing it was another matter entirely.
Basically, the long and short of it is by the time I've been at work all day then got back in in the evening, my mind's not exactly firing on all cylinders. So (this is becoming a common theme) after having placed about 60 pieces and thinking I was well on my way, I noticed I'd made one of the 'walls' of the square ring too narrow, off-centering the central hole. And it just ain't a central hole if it's off-centered, is it, so I had to tear huge chunks of construction up and start again, not quite from scratch but not far off.
Fig. 2 - The 29x29 square with symmetrical square holes. |
Spurred on by the above success, I decided later in the week to revisit the other construction I'd made-but-not-quite a little while back: the 20x38 from here.
Fig. 1 - New, improved 20x38 rectangle, with the four holes placed in the centre this time... |
Look at the 'Z'-shaped piece and the cross bit touching it, about halfway up the left hand edge of this one. These pieces are nightmares, and being stuck having to place them twenty times each as I went full trial-and-error completing the last 5% of the puzzle was something I wouldn't wish on anybody.
Then today I managed to do this:
Fig. 3 - Three 11x23 rectangles with central holes. |
Of course now I'm itching to have a go at something with octominoes... The only thing really stopping me is the fact that I don't have a physical set of 'em handy. The thought of tackling something like an octomino construction as a purely pencil-and-paper thing just terrifies me.
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