Very large 'awesome' patterns

[dvgrn]

I don't see the LCD counter there! Under the 3-digit hexadecimal counter is a collection of patterns called 'Just Friends'.

Whoa, slow down a bit (and no need to double-post). Hex-3digit-7seg is in fact the LCD counter pattern you're looking for.

Is Calcyman even still active?

Yes. You can see that from his profile page.

[gameoflifemaniac]

Thanks.

[gameoflifemaniac]

You're wrong. Calcyman posted a decimal counter, and in the 'Very Large Patterns' there's a hexadecimal counter, so there's no way that those are the same counters.

[dvgrn]

You're wrong. Calcyman posted a decimal counter, and in the 'Very Large Patterns' there's a hexadecimal counter, so there's no way that those are the same counters.

Huh, it does say "decimal" in the description, doesn't it? And the bounding box is totally different. How silly of me. Apparently I managed to forget all about Calcyman's P1 version of the hex-counter project. And it's definitely 'awesome' enough to be worth remembering!

One more pass through my old email has turned up a mysterious attachment called "segment68.gz", from 16 February 2009.

I've been able to assemble a decimal counter using p1 logic and your "crystallisation and decay" idea. See if you can find Paul Callahan's bistable switch in the pattern. The pattern is in the .mc.gz format, which Golly is able to read directly. Using this format cuts the overall file size down from 4.32 megabytes! The 2^n-based dimensions (both spatial and temporal) means that the pattern is very Hashlife-friendly, and runs relatively fast at a step size of 8^6.

Here it is, patched up a little bit with fresh comments:

LCD-4-segment-p1-decimal-display.mc.gz

Slightly updated version of segment68.gz

(70.35 KiB) Downloaded 423 times

Code: Select all

#C P1 decimal counter and 4-segment LCD display
#C   by Adam P. Goucher, 16 February 2009
#C Eaters for SW glider outputs, other trivial adjustments, and comments
#C   by Dave Greene, 27 January 2017.
#C
#C The p16777216 = 2^24 drive gun for this counter is in the lower right,
#C   around (43000,31000).  Display updates take about 1.4 million ticks
#C   to complete, though this would increase slightly if more segments
#C   are added to the counter.  This can be done trivially by duplicating
#C   the leftmost segment with an offset of 16384 = 2^14 cells.
#C
#C A carry signal escapes to the left when the counter rolls over, so
#C   the configuration currently functions as a 10^4 * 2^24 LWSS gun.
#C
#C The "liquid crystal" display is made from glider-stream crystals -- see
#C   http://www.conwaylife.com/ref/lexicon/lex_c.htm#crystal

The original LCD.mc may have been slightly different, but this should at least be fairly close. Along with adding a fourth LCD segment to the segment68.gz pattern, I also set the p16777216 drive gun back to just before the first increment signal is generated, added eaters for a whole lot of gliders that otherwise escaped to the southwest every time one of the digits was incremented, and removed a lot of unstable "ghost Herschels" that were left as markers in the original pattern.

[gameoflifemaniac]

Thanks. I did add a fifth digit, too

[gameoflifemaniac]

Is there any place I can find these patterns now? Most of them aren't in the "very large patterns" database in Golly.

It should be possible to recover most of them from somewhere, but it may take some digging. For example, I happened to notice this morning that there was a copy of an old megacell archive package still on my website. I tried out the script, and once you figure out that it expects the megacell-OFF and megacell-ON RLE patterns to be in Golly's root Scripts directory, it works fine -- select any not-too-big Life oscillator and it will make a megafied copy for you.

This may not be the latest and greatest megafier script. There was a plan to adjust it to support any Lifelike rule, but the attached version can only handle B3/S23 Life.

Several more of Calcyman's monstrosities can be retrieved from the Wayback Machine, though some of those are also in Golly's Help > Online Archives > Very Large Patterns.

Attached is a copy of 'mystery.mc' -- the mystery being, exactly what mathematical calculation does it perform?

Could you post the ruler generator please?

[testitemqlstudop]

Uh... error 404?

[dvgrn]

Uh... error 404?

Yeah, I'm going to have to admit defeat on this one, unless we can find somebody who downloaded pseudo-ruler.mc six years ago. The Wayback Machine didn't grab a copy of that particular file in time. Apparently the 32-bit machine that Calcyman did the original pattern-making on might possibly still have a copy of some of the missing files, but it's decommissioned and in a closet somewhere a hundred miles away from him.

Might be just as easy to make a new pseudo-ruler.mc instead -- it would be a lot smaller and slightly easier to build, with all the Snarks and syringes and such we have available nowadays...

[gameoflifemaniac]

How would the mechanism work?

[Kazyan]

Here's a proof-of-concept for a ruler sequence generator:

Code: Select all

x = 799, y = 85, rule = B3/S23
63b2o11bo$63b2o10bobo$75bobo2b2o3bo$74b2ob2o2bo2bobo12bo$78bobo3bobo
10b3o$74b2obo2b4obo10bo$74b2obobo3bo12b2o17bo137bo137bo137bo137bo$78bo
bo3bo30b3o135b3o135b3o135b3o135b3o$79bobo3bo32bo137bo137bo137bo137bo$
80bo3b2o31b2o136b2o136b2o136b2o136b2o$105b2o136b2o136b2o136b2o136b2o
136b2o$106bo118b2o17bo118b2o17bo118b2o17bo118b2o17bo118b2o17bo$106bobo
68bo48bo17bobo68bo48bo17bobo68bo48bo17bobo68bo48bo17bobo68bo48bo17bobo
$71b2o34b2o68b3o6b2o37bo19b2o68b3o6b2o37bo19b2o68b3o6b2o37bo19b2o68b3o
6b2o37bo19b2o68b3o6b2o37bo19b2o$71b2o80bo26bo5b2o37b2o64bo26bo5b2o37b
2o64bo26bo5b2o37b2o64bo26bo5b2o37b2o64bo26bo5b2o37b2o$56b2o93b3o25b2o
108b3o25b2o108b3o25b2o108b3o25b2o108b3o25b2o$55bo2bo91bo137bo137bo137b
o137bo$54bob2o92b2o136b2o136b2o136b2o136b2o$25b2o20b2o5bo83bo41b2o94bo
41b2o94bo41b2o94bo41b2o94bo41b2o$17bo5bo3bo19b2o4b2o83b3o39b2o3b2o13b
2o74b3o39b2o3b2o13b2o74b3o39b2o3b2o13b2o74b3o39b2o3b2o13b2o74b3o39b2o
3b2o13b2o$16bobo3bo5bo39b2o71bo20b2o6b2o13b2o13b2o26b2o49bo20b2o6b2o
13b2o13b2o26b2o49bo20b2o6b2o13b2o13b2o26b2o49bo20b2o6b2o13b2o13b2o26b
2o49bo20b2o6b2o13b2o13b2o26b2o$16bobo2b2obo3bo8b2o9bo19bo71b2o21bo7bo
56b2o26b2o20b2o21bo7bo56b2o26b2o20b2o21bo7bo56b2o26b2o20b2o21bo7bo56b
2o26b2o20b2o21bo7bo56b2o$17bo4bo5bo8b2o8bobo19b3o24b2o65bobo5bobo82b2o
43bobo5bobo82b2o43bobo5bobo82b2o43bobo5bobo82b2o43bobo5bobo$23bo3bo14b
2o2bo2bo21bo11b2o11b2o66b2o6b2o128b2o6b2o128b2o6b2o128b2o6b2o128b2o6b
2o$25b2o15b2obo10b3o25bo42bo26b2o109bo26b2o109bo26b2o109bo26b2o109bo
26b2o$14b2o3b2o25b2o10bo22b3o43b3o24b2o109b3o24b2o109b3o24b2o109b3o24b
2o109b3o24b2o$14bo5bo14b2o20bo23bo48bo137bo137bo137bo137bo$35bo2bo90b
2o136b2o136b2o136b2o136b2o$15bo3bo7b5o7bo60b2o96b2o38b2o96b2o38b2o96b
2o38b2o96b2o38b2o96b2o38b2o$16b3o7bo5bo6bo61bo97bo39bo97bo39bo97bo39bo
97bo39bo97bo39bo$26bo3b2o7bo58b3o95b3o24b2o11b3o95b3o24b2o11b3o95b3o
24b2o11b3o95b3o24b2o11b3o95b3o24b2o11b3o$27bo7bo2bo59bo97bo26b2o11bo
97bo26b2o11bo97bo26b2o11bo97bo26b2o11bo97bo26b2o11bo$35b2o$30bo$28b3o
22b2o104b2o48b2o86b2o48b2o86b2o48b2o86b2o48b2o86b2o48b2o$27bo24bobo61b
2o13b2o26b2o49bo43b2o13b2o26b2o49bo43b2o13b2o26b2o49bo43b2o13b2o26b2o
49bo43b2o13b2o26b2o49bo$20bo6b2o22b3o57b2o3b2o13b2o74b3o39b2o3b2o13b2o
74b3o39b2o3b2o13b2o74b3o39b2o3b2o13b2o74b3o39b2o3b2o13b2o74b3o$18bobo
30b2o58b2o94bo41b2o94bo41b2o94bo41b2o94bo41b2o94bo$19b2o33b2o163b2o
136b2o136b2o136b2o136b2o$3b2o48b3o163bo137bo137bo137bo137bo$3b2o10bo
30bo63b2o108b3o25b2o108b3o25b2o108b3o25b2o108b3o25b2o108b3o$14b3o28bob
o63bo5b2o37b2o64bo26bo5b2o37b2o64bo26bo5b2o37b2o64bo26bo5b2o37b2o64bo
26bo5b2o37b2o64bo$13b5o26bo3bo4b2o53b3o6b2o37bo89b3o6b2o37bo89b3o6b2o
37bo89b3o6b2o37bo89b3o6b2o37bo$bo10b2o3b2o8bo16bo3bo4b2o53bo48bo88bo
48bo88bo48bo88bo48bo88bo48bo$2bo10b5o10bo15bo3bo107b2o136b2o136b2o136b
2o136b2o$2bo10bo3bo8b3o15bo3bo$14bobo27bo3bo$15bo28bo3bo$2o3b2o38bobo$
3bo42bo$o5bo8b2o15b3o$b2ob2o9b2o7b2o$2bobo18bobo$3bo21bo$3bo3$7bo8b2o$
5bobo6bo2bo$4bobo7bo3bo2b2o$3bo2bo7bo2b2o2b3o$4bobo16b2obo5b2o$5bobo4b
3o8bo2bo5b2o$7bo15b2obo$21b3o$21b2o$164b2o136b2o136b2o136b2o136b2o$
164b2o136b2o136b2o136b2o136b2o3$156bo137bo137bo137bo137bo$155bobo135bo
bo135bobo135bobo135bobo$156bo137bo137bo137bo137bo4$159b2o136b2o136b2o
136b2o136b2o$159b2o136b2o136b2o136b2o136b2o$154b2o136b2o136b2o136b2o
136b2o$153bobo135bobo135bobo135bobo135bobo$153bo137bo137bo137bo137bo$
152b2o13b2o121b2o13b2o121b2o13b2o121b2o13b2o121b2o13b2o$167bo137bo137b
o137bo137bo$160b2o6b3o127b2o6b3o127b2o6b3o127b2o6b3o127b2o6b3o$160b2o
8bo127b2o8bo127b2o8bo127b2o8bo127b2o8bo!

The missing piece here is a giant assembly of rakes that will create that repeating Herschel track as it goes.

EDIT: A much easier version:

Code: Select all

x = 376, y = 57, rule = B3/S23
43bo49bo49bo49bo49bo49bo49bo$41bobo47bobo47bobo47bobo47bobo47bobo47bob
o$32bo7bobo11b2o26bo7bobo11b2o26bo7bobo11b2o26bo7bobo11b2o26bo7bobo11b
2o26bo7bobo11b2o26bo7bobo11b2o$31b2o6bo2bo11b2o25b2o6bo2bo11b2o25b2o6b
o2bo11b2o25b2o6bo2bo11b2o25b2o6bo2bo11b2o25b2o6bo2bo11b2o25b2o6bo2bo
11b2o$20b2o8b2o4b2o2bobo27b2o8b2o4b2o2bobo27b2o8b2o4b2o2bobo27b2o8b2o
4b2o2bobo27b2o8b2o4b2o2bobo27b2o8b2o4b2o2bobo27b2o8b2o4b2o2bobo$20b2o
7b3o4b2o3bobo26b2o7b3o4b2o3bobo26b2o7b3o4b2o3bobo26b2o7b3o4b2o3bobo26b
2o7b3o4b2o3bobo26b2o7b3o4b2o3bobo26b2o7b3o4b2o3bobo$30b2o4b2o5bo36b2o
4b2o5bo36b2o4b2o5bo36b2o4b2o5bo36b2o4b2o5bo36b2o4b2o5bo36b2o4b2o5bo$
31b2o48b2o48b2o48b2o48b2o48b2o48b2o$32bo49bo49bo49bo49bo49bo49bo$44bo
49bo49bo49bo49bo49bo49bo$45bo49bo49bo49bo49bo49bo49bo$43b3o47b3o47b3o
47b3o47b3o47b3o47b3o6$52bo49bo49bo49bo49bo49bo49bo$50bobo47bobo47bobo
47bobo47bobo47bobo47bobo$46b2o3b2o43b2o3b2o43b2o3b2o43b2o3b2o43b2o3b2o
43b2o3b2o43b2o3b2o$46b2o48b2o48b2o48b2o48b2o48b2o48b2o3$18b2o38bo49bo
49bo49bo49bo49bo49bo$18b2o39bo49bo49bo49bo49bo49bo49bo$32b2o22b2o5b2o
41b2o5b2o41b2o5b2o41b2o5b2o41b2o5b2o41b2o5b2o41b2o5b2o$31bobo22b3o4b3o
40b3o4b3o40b3o4b3o40b3o4b3o40b3o4b3o40b3o4b3o40b3o4b3o$15b2o16bo15bo7b
o7b2obo5b2o23bo7bo7b2obo5b2o23bo7bo7b2obo5b2o23bo7bo7b2obo5b2o23bo7bo
7b2obo5b2o23bo7bo7b2obo5b2o23bo7bo7b2obo5b2o$12bob3o30bobo15bo2bo5b2o
21bobo15bo2bo5b2o21bobo15bo2bo5b2o21bobo15bo2bo5b2o21bobo15bo2bo5b2o
21bobo15bo2bo5b2o21bobo15bo2bo5b2o$11b5o30bobo9b3o4b2obo27bobo9b3o4b2o
bo27bobo9b3o4b2obo27bobo9b3o4b2obo27bobo9b3o4b2obo27bobo9b3o4b2obo27bo
bo9b3o4b2obo$10b2o2bo3b2o20b2o3bo2bo8b2obo2b3o24b2o3bo2bo8b2obo2b3o24b
2o3bo2bo8b2obo2b3o24b2o3bo2bo8b2obo2b3o24b2o3bo2bo8b2obo2b3o24b2o3bo2b
o8b2obo2b3o24b2o3bo2bo8b2obo2b3o$10bob4o2b2o20b2o4bobo7bo3bo2b2o25b2o
4bobo7bo3bo2b2o25b2o4bobo7bo3bo2b2o25b2o4bobo7bo3bo2b2o25b2o4bobo7bo3b
o2b2o25b2o4bobo7bo3bo2b2o25b2o4bobo7bo3bo2b2o$10bo4bo31bobo6bo2bo37bob
o6bo2bo37bobo6bo2bo37bobo6bo2bo37bobo6bo2bo37bobo6bo2bo37bobo6bo2bo$
10bo2b2o34bo8b2o39bo8b2o39bo8b2o39bo8b2o39bo8b2o39bo8b2o39bo8b2o$12b2o
2$8bo$8bobo$8b2o68b2o48b2o48b2o48b2o48b2o48b2o$78bo49bo49bo49bo49bo49b
o$76bobo47bobo47bobo47bobo47bobo47bobo$76b2o48b2o48b2o48b2o48b2o48b2o
2$61b2o48b2o48b2o48b2o48b2o48b2o$61b2o48b2o48b2o48b2o48b2o48b2o3$2o5b
2o69b2o48b2o48b2o48b2o48b2o48b2o$o6b2o62b2o5b2o41b2o5b2o41b2o5b2o41b2o
5b2o41b2o5b2o41b2o5b2o$bo69b2o48b2o48b2o48b2o48b2o48b2o$2o8b2o$10b2o
54bo49bo49bo49bo49bo49bo$65bobo47bobo47bobo47bobo47bobo47bobo$66bo6b2o
41bo6b2o41bo6b2o41bo6b2o41bo6b2o41bo6b2o$7b2o64bo49bo49bo49bo49bo49bo$
7b2o65b3o47b3o47b3o47b3o47b3o47b3o$76bo49bo49bo49bo49bo49bo!

The p100 rakes already exist for this, but period triplers will be needed for the Gosper guns because of phasing issues.

[83bismuth38]

I haven't seen any huge oscillators yet, so i'm gonna see what you think about this (trivial, ik, ik) massive, 59.2 MILLION period oscillator:

Code: Select all

#CXRLE Pos=-18,-42 Gen=1513
x = 41, y = 69, rule = B3/S23
5b2ob2o$6bobo$7bobo$7b2o$8bo$7bo$5b2o6bobo$b2ob2o5b2ob2o$b2o7bob2o$9bo
4b2o$8b2o5bo$8bo$21bo9bo$7b2o11bobo7bobo$7b2o12bo8bobo3b2o$4bo22b2obob
2o3bo$4b7o8b5o4bobo4bobob2o$11bo6bo5bobo2bob5obo2bo$4b2o2b3obo4bob2o3b
ob2obobo4bobo$4bo3bobobo4bobo2bobo4bobo3bo2b2o$5bo3b2obob2obo3b2obo4bo
bobobobo$6bo5bob2obo5bo6b2obobobo$7bo4bo5b5o9bobobo$8bobobo19bobo$9b2o
b2o6bo12b2o$19bobo$20bo$34b2o$18b5o9b3o$18bo4bo7bo4bo$21b2obo5bob4obo$
3bo18bobo2bo2bobo2bobo$2ob2o19bobobobobo4b2o$4obo3bo3b2o2b3o4bo2bo2bob
o2bobo$4bobobobo2bo4b2o3b2o5bob4obo$3bo2bobo2bobo5bo11bo4bo$4b3ob3o2bo
b2o15b3o$13bo2bo17b2o$4b3ob3o3bo4bo$3bo2bobo2bo3b5o$4bobobobo$5bo3bo7b
o7bo$16bobo5bobo$17bo7bo3$18bo5bo$17b3o3b3o$16b2ob2ob2ob2o$17b3o3b3o$
18bo5bo3$13b2o16bo5bo$12bobo15b3o3bobo$12bo16b2ob2o3bo$11b2o5b2o10b3o$
18b2o11bo2$31bo$22b2o6b3o$22b2o5b2ob2o3bo$30b3o3bobo$31bo5bo2$25b2o$
26bo$23b3o$23bo!

I'm not sure, but to me it feels like I can add more...

[drc]

I haven't seen any huge oscillators yet, so i'm gonna see what you think about this (trivial, ik, ik) massive, 59.2 MILLION period oscillator:

Code: Select all

rle

I'm not sure, but to me it feels like I can add more...

Not impressive at all. There are bigger, non-trivial, higher period oscillators. (Life>Oscillators>103079214841.rle)

[dvgrn]

I haven't seen any huge oscillators yet, so i'm gonna see what you think about this (trivial, ik, ik) massive, 59.2 MILLION period oscillator...
I'm not sure, but to me it feels like I can add more.

You could certainly add more. You could add Calcyman's period 2^44497-1 oscillator, for example. Then you'd have a trivial oscillator with a 13401-digit period, instead of a non-trivial 13395-digit prime period oscillator.

That would certainly be a large enough pattern to fit in with the "Very large 'awesome' patterns" subject -- if you've looked at the other content of this thread, you'll notice that all the other patterns are orders of magnitude bigger than 41x69...!

But that doesn't mean that any and all huge patterns are worth posting here. Trivial oscillators, no matter what the period, are something that anyone can easily build, in infinite variety. It may well be a fun thing to do for practice, but no particular example is likely to be more interesting than any other example.

To put it another way, there's a very limited amount of interestingness that has to be divided equally among an arbitrarily large number of trivial oscillator patterns. Constructions along those lines are certainly welcome in the Sandbox. Elsewhere, it's worth thinking about whether a post will be a disappointment to anyone who's hoping for a new on-topic contribution to the thread.

[83bismuth38]

oh, ok. I still like the huge number of gens though. (:

[dvgrn]

oh, ok. I still like the huge number of gens though. (:

There is actually a record-setting pattern along these lines that you could build if you wanted to, that would make perfect sense to post on this thread. Not sure if you'd really find it interesting, but it was mentioned in the link in my last post.

All you have to do is string together 86,230 semi-snarks -- which would be time-consuming in Golly, but not terribly hard, if you copy-and-paste larger and larger groups. And then maybe borrow the base gun and the -1 period adjustment trick from the 2^44497-1 oscillator, and connect it all up.

It might be more sensible to use a script to put it all together, but who says you have to be sensible? It's not 86,243 semi-Snarks because the base gun would take care of the first thirteen powers of two.

If you pack everything tight enough, you can probably make it smaller than Mersenne-44497.mc, which would be quite an accomplishment since you'd almost be squaring the period. And then you'd be the creator of -- I think -- the highest prime period oscillator ever constructed in Conway's Life.

Until someone builds a bigger one, of course... or unless someone beats you to it.

[83bismuth38]

lol, ok. wait a second, you're serious... NO.

[gameoflifemaniac]

So is it possible to compress Calcyman's oscillator? And what would the bounding box limit be?

[dvgrn]

So is it possible to compress Calcyman's oscillator? And what would the bounding box limit be?

Of course. The Mersenne-44497 pattern was constructed before the semi-snark appeared on tvhe scene, so it's wildly inefficient by modern standards. Each of its period doublers takes up about a 45x50 box, and the period quadruplers at the ends of the lines are about the same, maybe a little smaller.

A semi-Snark is only 20x22, which means that four period doublers now fit in the space taken by a single doubler in Calcyman's original oscillator:

Code: Select all

x = 350, y = 326, rule = B3/S23
bo$2bo$3o18$21bo$22bo$20b3o18$41bo$42bo$40b3o18$61bo$62bo$60b3o18$81bo
$82bo$80b3o18$101bo$102bo$100b3o18$121bo$122bo$120b3o18$141bo$142bo$
140b3o18$161bo$162bo$160b3o18$181bo$182bo$180b3o18$201bo$202bo$200b3o
18$221bo$222bo$220b3o18$241bo$242bo$240b3o18$261bo$262bo$260b3o18$281b
o$282bo$280b3o$326bo19bo$324b3o17b3o$323bo19bo$315b2o6b2o10b2o6b2o$
315bobo17bobo$316bo19bo2$321b2o18b2o$321b2o5b2o11b2o5b2o$328b2o18b2o3$
311b2o18b2o$311b2o18b2o2$326b2o18b2o$326bobo17bobo$301bo26bo19bo$302bo
25b2o18b2o$300b3o5$318b2o18b2o$318bo19bo$316bobo17bobo$316b2o18b2o2$
301b2o18b2o$301b2o18b2o3$318b2o18b2o$311b2o5b2o11b2o5b2o$311b2o18b2o2$
306bo19bo$305bobo17bobo$305b2o6b2o10b2o6b2o$313bo19bo$314b3o17b3o$316b
o19bo!
#C [[ THUMBNAIL THUMBSIZE 2 AUTOSTART STEP 5 AUTOFIT STOP 1600 ]]

Really the improvement is more like a factor of five, because semi-Snarks can be packed much more efficiently -- a 180-degree corner's width is completely adjustable now instead of fixed, and the bounding boxes of adjacent rows could be arranged to overlap by a few cells at least.

That suggests a total size of around 3000x7000 instead of 15000x7000 for a "modern" oscillator with 2^44497-1 period.

[gameoflifemaniac]

So the phi, pi and reciprocal of fine-structure constant calculator is reducible too? Wow!

[BlinkerSpawn]

(EDIT: New pattern) Here's close to enough semi-Snarks in a ~4000x4300 grid just to give a preliminary estimation of size.

[gameoflifemaniac]

You missed a semi-snark at the top right corner.

[BlinkerSpawn]

You missed a semi-snark at the top right corner.

Eh, whatever, it's an easy fix. All I did was copy and paste over and over again and do a few sloppy readjustments. The missing semi-snark is attached exactly like all the others.
(EDIT: In the new denser packing this should not be the case)

[dvgrn]

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.

[gameoflifemaniac]

Here's the phi calculator after calculating 235 digits.

[gameoflifemaniac]

It shows 'APRIL FOOL' when I delete the message.