gameoflifemaniac wrote:So the phi, pi and reciprocal of fine-structure constant calculator is reducible too? Wow!
Funny you should mention the old 2010
fine-structure constant calculator (from
this 2011 LifeNews entry, but the pattern itself is seven years old). Was just looking at it again recently. The decimal output seems to be in working order:
Code: Select all
x = 7106, y = 7234, rule = B3/S23
6528b2o126b2o$6528b2o126b2o63$6464b2o126b2o126b2o$6464b2o126b2o126b2o
63$6400b2o126b2o126b2o126b2o$6400b2o126b2o126b2o126b2o63$6336b2o126b2o
254b2o126b2o$6336b2o126b2o254b2o126b2o63$6400b2o382b2o126b2o$6400b2o
382b2o126b2o63$6336b2o126b2o254b2o126b2o126b2o$6336b2o126b2o254b2o126b
2o126b2o63$6400b2o126b2o126b2o126b2o126b2o126b2o$6400b2o126b2o126b2o
126b2o126b2o126b2o63$6080b2o382b2o126b2o126b2o254b2o126b2o$6080b2o382b
2o126b2o126b2o254b2o126b2o63$6016b2o126b2o382b2o126b2o382b2o$6016b2o
126b2o382b2o126b2o382b2o63$6080b2o126b2o766b2o126b2o$6080b2o126b2o766b
2o126b2o63$6144b2o126b2o510b2o126b2o126b2o$6144b2o126b2o510b2o126b2o
126b2o63$5824b2o382b2o126b2o382b2o126b2o126b2o$5824b2o382b2o126b2o382b
2o126b2o126b2o63$5760b2o126b2o382b2o126b2o382b2o126b2o$5760b2o126b2o
382b2o126b2o382b2o126b2o63$5824b2o126b2o254b2o126b2o126b2o$5824b2o126b
2o254b2o126b2o126b2o63$5888b2o126b2o126b2o126b2o126b2o126b2o$5888b2o
126b2o126b2o126b2o126b2o126b2o63$5952b2o126b2o126b2o254b2o126b2o$5952b
2o126b2o126b2o254b2o126b2o63$5504b2o126b2o382b2o126b2o382b2o126b2o$
5504b2o126b2o382b2o126b2o382b2o126b2o63$5440b2o126b2o126b2o894b2o$
5440b2o126b2o126b2o894b2o63$5376b2o126b2o126b2o126b2o$5376b2o126b2o
126b2o126b2o63$5312b2o126b2o254b2o$5312b2o126b2o254b2o63$5376b2o382b2o
$5376b2o382b2o63$5312b2o126b2o254b2o126b2o126b2o$5312b2o126b2o254b2o
126b2o126b2o63$5376b2o126b2o126b2o126b2o126b2o126b2o$5376b2o126b2o126b
2o126b2o126b2o126b2o63$5440b2o126b2o126b2o254b2o126b2o$5440b2o126b2o
126b2o254b2o126b2o63$4992b2o126b2o510b2o382b2o$4992b2o126b2o510b2o382b
2o63$4928b2o126b2o126b2o510b2o254b2o126b2o$4928b2o126b2o126b2o510b2o
254b2o126b2o63$4864b2o126b2o126b2o126b2o382b2o126b2o126b2o126b2o$4864b
2o126b2o126b2o126b2o382b2o126b2o126b2o126b2o63$4800b2o126b2o254b2o126b
2o382b2o126b2o126b2o$4800b2o126b2o254b2o126b2o382b2o126b2o126b2o63$
4864b2o382b2o126b2o382b2o126b2o$4864b2o382b2o126b2o382b2o126b2o63$
4800b2o126b2o382b2o126b2o$4800b2o126b2o382b2o126b2o63$4864b2o126b2o
382b2o126b2o$4864b2o126b2o382b2o126b2o63$4928b2o126b2o382b2o126b2o$
4928b2o126b2o382b2o126b2o63$4480b2o126b2o382b2o126b2o382b2o$4480b2o
126b2o382b2o126b2o382b2o63$4416b2o126b2o126b2o382b2o126b2o254b2o126b2o
$4416b2o126b2o126b2o382b2o126b2o254b2o126b2o63$4352b2o126b2o126b2o126b
2o382b2o126b2o126b2o126b2o$4352b2o126b2o126b2o126b2o382b2o126b2o126b2o
126b2o63$4288b2o126b2o254b2o126b2o382b2o126b2o126b2o$4288b2o126b2o254b
2o126b2o382b2o126b2o126b2o63$4352b2o382b2o126b2o382b2o126b2o$4352b2o
382b2o126b2o382b2o126b2o63$4288b2o126b2o254b2o126b2o126b2o$4288b2o126b
2o254b2o126b2o126b2o63$4352b2o126b2o126b2o126b2o126b2o126b2o$4352b2o
126b2o126b2o126b2o126b2o126b2o63$4416b2o126b2o126b2o254b2o126b2o$4416b
2o126b2o126b2o254b2o126b2o63$3968b2o126b2o382b2o126b2o382b2o$3968b2o
126b2o382b2o126b2o382b2o63$3904b2o126b2o126b2o766b2o126b2o$3904b2o126b
2o126b2o766b2o126b2o63$3840b2o126b2o126b2o126b2o510b2o126b2o126b2o$
3840b2o126b2o126b2o126b2o510b2o126b2o126b2o63$3776b2o126b2o254b2o126b
2o382b2o126b2o126b2o$3776b2o126b2o254b2o126b2o382b2o126b2o126b2o63$
3840b2o382b2o126b2o382b2o126b2o$3840b2o382b2o126b2o382b2o126b2o63$
3776b2o126b2o254b2o126b2o126b2o$3776b2o126b2o254b2o126b2o126b2o63$
3840b2o126b2o126b2o126b2o126b2o126b2o$3840b2o126b2o126b2o126b2o126b2o
126b2o63$3904b2o126b2o126b2o254b2o126b2o$3904b2o126b2o126b2o254b2o126b
2o63$3456b2o126b2o382b2o126b2o382b2o$3456b2o126b2o382b2o126b2o382b2o
63$3392b2o126b2o126b2o766b2o126b2o$3392b2o126b2o126b2o766b2o126b2o63$
3328b2o126b2o126b2o126b2o510b2o126b2o126b2o$3328b2o126b2o126b2o126b2o
510b2o126b2o126b2o63$3264b2o126b2o254b2o126b2o382b2o126b2o126b2o$3264b
2o126b2o254b2o126b2o382b2o126b2o126b2o63$3328b2o382b2o126b2o382b2o126b
2o$3328b2o382b2o126b2o382b2o126b2o63$3264b2o126b2o254b2o126b2o126b2o$
3264b2o126b2o254b2o126b2o126b2o63$3328b2o126b2o126b2o126b2o126b2o126b
2o$3328b2o126b2o126b2o126b2o126b2o126b2o63$3008b2o382b2o126b2o126b2o
254b2o126b2o$3008b2o382b2o126b2o126b2o254b2o126b2o63$2944b2o126b2o382b
2o126b2o382b2o$2944b2o126b2o382b2o126b2o382b2o63$2880b2o126b2o894b2o
126b2o$2880b2o126b2o894b2o126b2o63$2816b2o126b2o766b2o126b2o126b2o$
2816b2o126b2o766b2o126b2o126b2o63$2752b2o126b2o766b2o126b2o126b2o$
2752b2o126b2o766b2o126b2o126b2o63$2688b2o126b2o382b2o126b2o382b2o126b
2o$2688b2o126b2o382b2o126b2o382b2o126b2o63$2752b2o126b2o254b2o126b2o
126b2o$2752b2o126b2o254b2o126b2o126b2o63$2816b2o126b2o126b2o126b2o126b
2o126b2o$2816b2o126b2o126b2o126b2o126b2o126b2o63$2880b2o126b2o126b2o
254b2o126b2o$2880b2o126b2o126b2o254b2o126b2o63$2432b2o126b2o382b2o126b
2o382b2o$2432b2o126b2o382b2o126b2o382b2o63$2368b2o126b2o126b2o382b2o
382b2o126b2o$2368b2o126b2o126b2o382b2o382b2o126b2o63$2304b2o126b2o126b
2o126b2o638b2o126b2o$2304b2o126b2o126b2o126b2o638b2o126b2o63$2240b2o
126b2o254b2o638b2o126b2o$2240b2o126b2o254b2o638b2o126b2o63$2304b2o382b
2o510b2o126b2o$2304b2o382b2o510b2o126b2o63$2240b2o126b2o254b2o126b2o
126b2o382b2o$2240b2o126b2o254b2o126b2o126b2o382b2o63$2304b2o254b2o126b
2o126b2o126b2o$2304b2o254b2o126b2o126b2o126b2o63$2624b2o254b2o126b2o$
2624b2o254b2o126b2o63$1920b2o126b2o894b2o$1920b2o126b2o894b2o63$1856b
2o126b2o126b2o766b2o126b2o$1856b2o126b2o126b2o766b2o126b2o63$1792b2o
126b2o126b2o126b2o510b2o126b2o126b2o$1792b2o126b2o126b2o126b2o510b2o
126b2o126b2o63$1728b2o126b2o254b2o126b2o382b2o126b2o126b2o$1728b2o126b
2o254b2o126b2o382b2o126b2o126b2o63$1792b2o382b2o126b2o382b2o126b2o$
1792b2o382b2o126b2o382b2o126b2o63$1728b2o126b2o382b2o126b2o$1728b2o
126b2o382b2o126b2o63$1792b2o126b2o382b2o126b2o$1792b2o126b2o382b2o126b
2o63$1856b2o126b2o382b2o126b2o$1856b2o126b2o382b2o126b2o63$1920b2o126b
2o382b2o$1920b2o126b2o382b2o63$1984b2o126b2o254b2o126b2o$1984b2o126b2o
254b2o126b2o63$2048b2o126b2o126b2o126b2o$2048b2o126b2o126b2o126b2o63$
1216b2o510b2o382b2o126b2o126b2o$1216b2o510b2o382b2o126b2o126b2o63$
1152b2o126b2o382b2o126b2o382b2o126b2o$1152b2o126b2o382b2o126b2o382b2o
126b2o63$1088b2o126b2o126b2o382b2o$1088b2o126b2o126b2o382b2o63$1024b2o
126b2o126b2o126b2o$1024b2o126b2o126b2o126b2o63$960b2o126b2o254b2o$960b
2o126b2o254b2o63$896b2o126b2o254b2o126b2o$896b2o126b2o254b2o126b2o63$
960b2o382b2o$960b2o382b2o63$1280b2o126b2o$1280b2o126b2o63$1344b2o$
1344b2o63$640b2o126b2o510b2o126b2o$640b2o126b2o510b2o126b2o63$576b2o
126b2o126b2o510b2o$576b2o126b2o126b2o510b2o63$512b2o126b2o126b2o126b2o
382b2o126b2o$512b2o126b2o126b2o126b2o382b2o126b2o63$448b2o126b2o254b2o
510b2o126b2o$448b2o126b2o254b2o510b2o126b2o63$512b2o382b2o510b2o126b2o
$512b2o382b2o510b2o126b2o63$448b2o126b2o254b2o126b2o126b2o382b2o$448b
2o126b2o254b2o126b2o126b2o382b2o63$512b2o254b2o126b2o126b2o126b2o$512b
2o254b2o126b2o126b2o126b2o63$832b2o254b2o126b2o$832b2o254b2o126b2o63$
1152b2o$1152b2o63$64b2o1022b2o126b2o$64b2o1022b2o126b2o63$2o126b2o766b
2o126b2o126b2o$2o126b2o766b2o126b2o126b2o63$64b2o126b2o638b2o126b2o
126b2o$64b2o126b2o638b2o126b2o126b2o63$2o126b2o126b2o638b2o126b2o$2o
126b2o126b2o638b2o126b2o63$64b2o126b2o126b2o$64b2o126b2o126b2o63$2o
254b2o126b2o$2o254b2o126b2o63$320b2o126b2o254b2o$320b2o126b2o254b2o63$
384b2o126b2o126b2o126b2o$384b2o126b2o126b2o126b2o63$448b2o126b2o126b2o
$448b2o126b2o126b2o63$512b2o126b2o$512b2o126b2o63$448b2o126b2o$448b2o
126b2o63$384b2o126b2o$384b2o126b2o63$448b2o$448b2o!
The switch that turns on the extra A...F printer characters hasn't gotten much independent review, though. The only documentation for the hexadecimal option is some text in the pattern itself, a little left of center. Looking at it again, it's a very small patch compared to the full pattern, so maybe it has been too hard for anyone to find.
As far as optimization goes, any of these Calcyman calculator patterns could be reduced in size significantly, replacing Silver reflectors with Snarks and syringe-based splitters. The original patterns were designed with easy layout in mind, anyway, so even with 2010 technology they're a good way from being as small or fast (in ticks) as they could be.
Speed has always been kind of hard to measure in the Golly world, though. The Silver reflectors in these patterns are spaced at multiples of 128 ticks, which means that they probably run just as fast in Hashlife as a version with tighter-packed circuitry would. Very likely Snarks and syringes could be aligned to a 64-cell grid, or possibly even smaller but 32 cells seems like it might be a little tight for syringe-based splitters.