Wan on Formulaic
I only came across the Mandelbrot Set a few years ago on the Youtube channel Numberphile, which I find very interesting.
It struck me immediately as suitable for a crossword theme given it had both an image that would suit an endgame and a crossword-suited, second meaning of Mandelbrot Set – the name comprising ten distinct letters. I do like to sit on an idea to try and ensure that I have considered different ways of presenting it. However, if it is a theme I particularly like, I get worried that someone else will beat me to it, which has happened three times for far. When I did get around to setting the puzzle, I initially built a grid with just a grey area formed by the thematic letters, but on completion I still had quite a few fill options that would leave real words in the grey area of the grid so I figured that I could achieve more. A coloured border representing the fractal seemed to me a good enhancement.
Iâd already thought to use a form of iterated formula in the clues, so replicating that in the grid in the form of clashes seemed a perfect way to help me achieve the coloured border, and make the grid fill more interesting for the solver. I decided that the number of sums in the grid should be the same as the clues, which, quite unnecessarily, made the border harder to achieve. I am not a particularly skilful grid builder, so I make up somewhat by perseverance. I wonât embarrass myself by admitting how long it took to achieve the new grid, but letâs think in terms of days and weeks rather than hours and days.
On completion of the puzzle, the only bit I wasnât happy with was the direct manner of the clue gimmick revealing the theme. I had racked my brain trying to think how I could add another level to the puzzle, wondering how some of the better setters would handle it, but I couldnât see it so settled with what I had.
Reading the comments made me see the puzzle from the solverâs perspective, with its flaws, which of course I should have been able to do at the outset. The main weakness appears to be the coloured border, which some thought the endgame would have been better without, and some thought should have been symmetrical in colouring. The latter would have been impossible for me with a grid that left real words, but probably doable without leaving real words, which I accept would have been the much better option.
I was aware that the theme wouldnât suit everyone, so one solverâs comment that lifeâs too short to read about it didnât really surprise me. However, I did think that those unfamiliar with the theme might enjoy a Mandelbrot zoom. One of the testers didnât understand why the sums were necessary, which I probably should have taken more seriously. I thought they represented a thematic gimmick, but perhaps that was only for anyone on the same wavelength as me.
I really enjoyed setting this puzzle, and thought that I had done a good job with it, but realise now that it wasnât at all as good as I thought it was. I should point out that there were more complementary comments than critical ones, but, being honest, I am in agreement with the criticism.
September 28th, 2024 at 12:11 pm
Thanks for the blog, Wan. I thought the puzzle was terrific and well up to your usual high standard. I agree that spotting the connection between the various elements was far from obvious, but the intricacy of the thing was a joy, and the preservation of real words was extremely impressive. Looking forward to your next.
September 30th, 2024 at 7:20 pm
I had the pleasure of testing this puzzle for Wan, and I am truly amazed that he received so much criticism for it. I thought it was superb. Admittedly I am a physicist, so I was aware of the âMandelbrot Setâ and its meaning, but – surely – anyone solving the puzzle cannot fail to be at least interested – if not impressed – by the Wikipedia animation of âzooming inâ on the fractal edge of the Mandelbrot set, and its colours. No? Oh well, perhaps we just have to continue to be excited byâŚin puzzles? Surely we ought to be able to appreciate new themes – at the very least to appreciate the skill of the setter in creating a puzzle based on a particular theme, and to have the kindness to say so, without feeling the need to express reservations, even if we cannot ourselves appreciate the theme itself?
September 30th, 2024 at 7:37 pm
Hi Rob,
I really appreciate your post, but can I just say that I didn’t receive loads of criiticism. I was just trying to be honest in my blog and say that I agree with the criticism that I did receive. I do honestly think in retrospect that I could have handled the theme better.
September 30th, 2024 at 7:48 pm
Well, of course, I agree with Wanâs comments. But even so, I found it a very fine puzzle.