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One doesn't study the shuttles per se. One finds mechanisms where hitting a simple pattern (e.g. a honeyfarm or one of its predecessor) is hit by a spark, glider, etc. - and with some possible help (e.g. eaters or other sparks), can re-form the pattern again. If the pattern releases a glider reflected 90 degrees (or 180 degrees, with sufficient clearance between lanes), it may be possible to chain multiple copies of the mechanisms together to make an oscillator. The period of the oscillator must be a multiple of the period of the reaction, and the lower limit depends on how often long it takes the reaction to re-form the original conditions, allowing the incoming glider to approach without being hit first. The ideal case is to find a stable reflector (e.g. the Snark); since the reaction itself stable, all periods are possible, subject to the minimum reset time.Qyz wrote: ↑January 10th, 2022, 6:33 amHow are the patterns like Merzenich’s p26 glider shuttle and p31 glider shuttle studied? What are such reflectors called (dependent reflector?) and how likely is it to find such a reflector of p19, p34, p38 or p41?
For the particular shuttles in the link, the active pattern is specifically hit by a glider, and produces a glider output while re-forming the active pattern (honeyfarm explosion in this case) -- and those two patterns are indeed called "dependent reflectors", because the reaction is dependent on the glider coming in.mniemiec wrote: ↑January 10th, 2022, 6:40 amOne doesn't study the shuttles per se. One finds mechanisms where hitting a simple pattern (e.g. a honeyfarm or one of its predecessor) is hit by a spark, glider, etc...Qyz wrote: ↑January 10th, 2022, 6:33 amHow are the patterns like Merzenich’s p26 glider shuttle and p31 glider shuttle studied? What are such reflectors called (dependent reflector?)
I don't remember any such thing, not that my memory is very good.MathAndCode wrote: ↑January 12th, 2022, 11:06 amI remember seeing a three-glider collision that makes a snake and a block a while back, but I can't find it now. (I checked https://www.conwaylife.com/patterns/snake_synth.rle, https://www.conwaylife.com/ref/mniemiec/0/6sn.rle, and https://catagolue.hatsya.com/census/b3s ... offset=565 (and the next page).) Does anyone know where it can be found?
No, I recall thinking at the time that that constitutes a two-step, four-glider snake.dvgrn wrote: ↑January 12th, 2022, 11:33 amCould it maybe have been this conversion component? It has three gliders, and it makes a snake and a block, but it would really be 5G in all.
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x=5, y=19
4bo$2b2o$3b2o9$bo$2bo$3o3$b3o$3bo$2bo!
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x=35, y=35
32bo$32bobo$32b2o27$o$b2o$2o$5bo$4b2o$4bobo!
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x=23, y=18
21bo$22bo$20b3o3$20b2o$21b2o$20bo8$b2o$obo$2bo!
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x=22, y=37
19bo$19bobo$19b2o29$o$b2o$2o$5bo$4b2o$4bobo!
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x=14, y=34
13bo$11b2o$12b2o26$o$b2o$2o$5bo$4b2o$4bobo!
Is your 3G database based on 2718281828's list of a half-million or so collisions? Or was it separately created (from gencols runs or whatever?) Just checking to see whether might be worth running a census against that list or not.
Could it have been an aircraft carrier? xs10_33y4oi6 comes from a G+B collision:MathAndCode wrote: ↑January 12th, 2022, 11:06 amI remember seeing a three-glider collision that makes a snake and a block a while back, but I can't find it now. ...
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#CSYNTH xs10_33y4oi6 costs 3 gliders (pseudo).
#CLL state-numbering golly
x = 20, y = 5, rule = B3/S23
19bo$17b2o$2bo3bobo9b2o$obo3b2o$b2o4bo!
I can't find it anywhere except in an email archive from a quarter century ago:GUYTU6J wrote: ↑January 12th, 2022, 10:18 pmMy question: where can I read about Dean Hickerson's Fibonacci period-multipliers? As an application of Herschel stopper, it could be linked to in the LifeWiki article.
On 21 Nov 1996, Dean Hickerson wrote:Subject: Herschel-track period doubler
For a while I've been looking for a Herschel-track period doubler, in which every second Herschel that enters a track gets through. I was hoping for something simple, involving only one Herschel move, but I haven't found such a thing. But I have found one that involves several stages.
The basic idea is to use a boat-bit to control the evolution of a B-heptomino. A snake is added near where a Herschel is about to form, in a position where it doesn't interfere. But if a glider hits the snake, it attaches a boat to it; this boat interacts with the forming Herschel, killing the boat and the Herschel but not the snake:
The glider comes from a later stage in the Herschel-track. So the first Herschel passes by the snake, eventually emitting a glider that creates a boat. The second Herschel deletes the boat and gets destroyed, restoring the track to its original state.Code: Select all
.....oo ....oo .......oo ..oo .....o. ....o. .......o. ..o. ......o .....o ........o ...o .....oo ....oo .......oo ..oo ....... ...... ......... .... ....... ...... .......oo .... ....... --> ...... ......o.o ---> .... ....... 5 ...... .......o. 24 .... o.oo... ...... ..o.oo... .... oooo... ....o. ..oooo... .... o...o.. ..ooo. ..o...o.. .... .ooo... ..o.o. ...ooo... .... .ooo... ..o... ...ooo... .... .o..... ...... ...o..... ....
As usual, the need to put a glider on a particular path makes this device unpleasantly large and slow. In the simplest implementation that I've found, after passing the snake, the Herschel goes through 77, 77, 112, 112, 117, and 77 gen moves. Successive Herschels must be at least 748 gens apart. In the pattern below, I've prepended and appended 77 gen moves, to show that this really works in the middle of a Herschel track:
Here's the same thing, but with the boat already present:Code: Select all
#C A Herschel passes through a track consisting of 77, 77, 77, 112, #C 112, 117, 77, and 77 gen moves. At the end, it fires a glider #C which attaches a boat to a snake between the first to 77 gen moves. #C If a second Herschel is inserted into the track, it will die when #C it reaches the boat. x = 136, y = 65, rule = B3/S23 81bo$66b2o11b3o34b2o$66bo11bo37bo$67bo10b2o37bo$66b2o48b2o14b2o$132bo$ 130bobo$38bo49bo37b2o2b2o$38b3o47b3o35b2o$41bo49bo$40b2o11b2o35b2o11b 2o$53b2o48b2o6$39bo$39bobo$39b3o36b2o52b2o$41bo23b2o11b2o34b2o16bobo$ 66bo46bobo18bo$63b3o47bo20b2o$63bo48b2o4b2o$117bobo$32b2o48b2o33bo$33b o49bo32b2o7b2o$30b3o20b2o25b3o20b2o20b2o$30bo22bo26bo22bo$54b3o47b3o$ 56bo49bo$13bo$13b3o$16bo$15b2o4$56bo$54b3o17b2o$53bo20bo$40b2o11b2o20b o11bo27bo$40b2o32b2o9b3o27b3o$bo82bo33bo$obo81b2o10b2o19b2o$bo94bo15bo $94bobo15b3o$94b2o19bo$71b2o41b2o$71b2o$15b2o$15b2o11b2o$28bo$29b3o$ 31bo79b2o$111b2o17b2o$130b2o$80b2o$40b2o39bo$41bo36b3o50b2o$38b3o37bo 52bo$38bo79b2o12b3o$119bo14bo$116b3o$116bo!
Of course, we can chain these devices together to multiply a given gun period by any power of 2. For example, a p3000 gun is diagrammed below, obtained by multiplying p750 by 4. (">v<" denote the Herschel track, "/\" denote glider paths, "S" is a snake, and "g" is a gun. Gliders travel away from guns and toward snakes.)Code: Select all
x = 136, y = 65, rule = B3/S23 81bo$66b2o11b3o34b2o$66bo11bo37bo$67bo10b2o37bo$66b2o48b2o14b2o$132bo$ 66b2o62bobo$38bo26bobo20bo37b2o2b2o$38b3o25bo21b3o35b2o$41bo49bo$40b2o 11b2o35b2o11b2o$53b2o48b2o6$39bo$39bobo$39b3o36b2o52b2o$41bo23b2o11b2o 34b2o16bobo$66bo46bobo18bo$63b3o47bo20b2o$63bo48b2o4b2o$117bobo$32b2o 48b2o33bo$33bo49bo32b2o7b2o$30b3o20b2o25b3o20b2o20b2o$30bo22bo26bo22bo $54b3o47b3o$56bo49bo$13bo$13b3o$16bo$15b2o4$56bo$54b3o17b2o$53bo20bo$ 40b2o11b2o20bo11bo27bo$40b2o32b2o9b3o27b3o$bo82bo33bo$obo81b2o10b2o19b 2o$bo94bo15bo$94bobo15b3o$94b2o19bo$71b2o41b2o$71b2o$15b2o$15b2o11b2o$ 28bo$29b3o$31bo79b2o$111b2o17b2o$130b2o$80b2o$40b2o39bo$41bo36b3o50b2o $38b3o37bo52bo$38bo79b2o12b3o$119bo14bo$116b3o$116bo!
This gun and the others described below are at the end of this message.Code: Select all
g750 g150 \ / \ / S >>>>>>>/>>>> / v period 750*4 S / v <<<<\<<<<<<<<<<<< v \ v \ >>>>>>>>
When I first tried to build a period quadrupler, it didn't work; the period was tripled instead. It turned out that I'd put the devices so close together that the second boat prevented a Herschel from firing the glider that would create the first boat:
Letting "0" denote the absence of a boat and "1" denote its presence, the device was cycling through the states 00, 11, and 01. Further study showed that a chain of n devices multiplies the period by the Fibonacci number F[n+2]. For example, period 750*3, 750*5, and 750*13 guns are at the end of this message. For the 750*13, the state sequence is:Code: Select all
g750 g150 \ / \ / S >>>>>>>/>>>> / v period 750*3 S/ v <<<<\<<<<<< v \ v \ >>>>>>>>
00000
11111
01111
00111
10011
00011
11001
01001
00001
11100
01100
00100
10000
00000
The rule is: change the first 1 to 0 and change all but the last of the initial 0's to 1's; i.e. 000...0001 becomes 111...1100.
Other multipliers are possible, using different arrangements of the snakes and the gliders that hit them, but these require the input period to be larger than for the Fibonaccis. For example, in the gun diagrammed below, the period would be multiplied by 7; more generally, with N snakes along the top, the period would be multiplied by 2N+1. I haven't built this or determined its minimal period.
We could also arrange for a Herschel to emit a glider that hits a snake later in the track rather than earlier; I haven't exploredCode: Select all
g g \ / state sequence \ / S S S 0000 >>>>>>>/>>>>/>>>>/>>>> 1111 / / / v 0111 S/ / / v 0011 <<<<\<<<<<<<<<<<<<<<< 0001 v \ 0110 v \ 0010 >>>>>>>> 0000
that.
Dean Hickerson
-------------------------------------------------------------------
Here are the 4 guns mentioned above; I've suppressed most of the output gliders to simplify testing:
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#C period 750*4=3000 glider gun #C A Herschel is injected into a track every 750 gens (using a p750 #C glider gun due to Dieter Leithner). The track contains 2 period #C doublers, each of which deletes half of the Herschels passing #C through it. So a Herschel reaches the end every 3000 gens. x = 241, y = 156 55b2o$55b2o15b2o26b2o$72b2o26b2o2$31b2o$31b2o39b3o$72b3o3$100b3o$70b2o 3b2o22bo3bo$54b3o14b5o$53bo3bo14b3o23bo5bo$52bo5bo14bo24b2o3b2o$30b3o 20bo3bo$29bo3bo20b3o$28bo5bo19b3o44bo$28bo5bo65bob2o$31bo68bo16b2o$29b o3bo66bo3bo10bo3bo$30b3o41bo26bo2bo4b2o3bo5bo13b2o$31bo24b3o16b2o24b5o 3b2o2b2obo3bo13b2o4b3o$51bo3b2ob2o14b2o25b5o8bo5bo10b2o6b5o$49b2o4b2ob 2o40b2o3b2o8bo3bo10b3o5bo3bobo$28b3o19b2o3b5o41b5o11b2o12b2o6bo3b2o$ 28b3o23b2o3b2o21bo11bobo5b3o17bobo9b2o$27bo3bo49bobo10b2o7bo18b2o10b2o $35bobo30b2o3b2o20bo27bo$26b2o3b2o3b2o8b2o22b3o$36bo9b2o21bo3bo$55b2o 13bobo9bo$71bo8b2o$81bo$43bo38b2o16b2o8b2o$42bo14b2o24bo17bo8b2o$44bo 12b2o11b2o26b3o$41bo2bo25b2o26bo$115b3o$28b2o11b2o43b2o13b2o12bo2b2o$ 28b2o31bo24b2o12bobo16bo$61b3o36bo16bobo$64bo16bo17b2o$63b2o15bobo2$ 127b2o9b2o$126b2o9bobo$46b2o73bo6bo7b3o4b2o$46bo34b2o37bobo12b3o4bo2b 4o$47b3o14b2o16bo35b2o3bo12b3o4b2ob3o$49bo5bo7bobo13b3o31b2o3b2o3bo13b obo$53bob2o6bobo13bo33b2o3b2o3bo14b2o$54bobo5bo57bobo$65bo55bo$62bo3bo $54bob2o5b4o$53bob2o9bo$54b2o21b2o$78bo$77bo$77b2o43bo49bo$120b3o34b2o 11b3o$63b2o31bo22bo26bo10bo11bo26bo$64bo21bo9b3o20b2o25b3o9bo10b2o25b 3o$64bobo17b2o13bo49bo7b2o40bo23b2o$65b2o18b2o11b2o48b2o48b2o23bo$221b obo$129bo49bo37b2o2b2o$129b3o47b3o35b2o$132bo49bo$107bo23b2o11b2o35b2o 11b2o$105b3o36b2o48b2o$88b2o15bobo$88b2o15bo2$73b2o$72bobo$72bo$71b2o$ 85b2o32b2o48b2o52b2o$85bo20b2o11b2o35b2o11b2o34b2o16bobo$86bo20bo49bo 46bobo18bo13b2o$85b2o17b3o47b3o47bo20b2o12bo$104bo49bo48b2o4b2o26bobo$ 208bobo26b2o$123b2o48b2o33bo$124bo49bo32b2o7b2o$121b3o20b2o25b3o20b2o 20b2o$121bo22bo26bo22bo$145b3o47b3o$147bo49bo$54bo49bo$54b3o11b2o34b3o $30bo26bo11bo10bo26bo$28b3o25b2o10bo9b3o25b2o$2b2o23bo40b2o7bo$3bo23b 2o48b2o$3bobo$4b2o2b2o37bo49bo49bo$8b2o35b3o47b3o47b3o17b2o$44bo49bo 49bo20bo$31b2o11b2o35b2o11b2o35b2o11b2o20bo11bo27bo$31b2o48b2o48b2o32b 2o9b3o27b3o$175bo33bo$175b2o10b2o19b2o$187bo15bo$185bobo15b3o$185b2o 19bo$162b2o41b2o$162b2o$2b2o52b2o48b2o$bobo16b2o34b2o11b2o35b2o11b2o$b o18bobo46bo49bo$2o20bo47b3o47b3o$16b2o4b2o48bo49bo79b2o$16bobo183b2o 17b2o$18bo33b2o48b2o48b2o67b2o$9b2o7b2o32bo49bo49bo18b2o$9b2o20b2o20b 3o25b2o20b3o25b2o20b3o16bo$32bo22bo26bo22bo26bo22bo13b3o50b2o$29b3o47b 3o47b3o37bo52bo$29bo49bo49bo79b2o12b3o$192b2o16bo14bo$192bo14b3o$193b 3o11bo$195bo4$79bo$60b2o17b3o$61bo20bo$20bo27bo11bo20b2o11b2o$18b3o27b 3o9b2o32b2o$17bo33bo$17b2o19b2o10b2o$23bo15bo$21b3o15bobo72b2o$20bo19b 2o72b2o$20b2o41b2o$63b2o4$110b2o$23b2o85b2o$4b2o17b2o$4b2o67b2o$54b2o 18bo$54bo16b3o20b2o$3b2o50b3o13bo22bo$4bo52bo37b3o$b3o12b2o79bo$bo14bo 16b2o$17b3o14bo$19bo11b3o$31bo!Code: Select all
#C period 750*3=2250 gun x = 215, y = 156, rule = B3/S23 29b2o$29b2o15b2o26b2o$46b2o26b2o2$5b2o$5b2o39b3o$46b3o3$74b3o$44b2o3b 2o22bo3bo$28b3o14b5o$27bo3bo14b3o23bo5bo$26bo5bo14bo24b2o3b2o$4b3o20bo 3bo$3bo3bo20b3o$2bo5bo19b3o44bo$2bo5bo65bob2o$5bo68bo16b2o$3bo3bo66bo 3bo10bo3bo$4b3o41bo26bo2bo4b2o3bo5bo13b2o$5bo24b3o16b2o24b5o3b2o2b2obo 3bo13b2o4b3o$25bo3b2ob2o14b2o25b5o8bo5bo10b2o6b5o$23b2o4b2ob2o40b2o3b 2o8bo3bo10b3o5bo3bobo$2b3o19b2o3b5o41b5o11b2o12b2o6bo3b2o$2b3o23b2o3b 2o21bo11bobo5b3o17bobo9b2o$bo3bo49bobo10b2o7bo18b2o10b2o$9bobo30b2o3b 2o20bo27bo$2o3b2o3b2o8b2o22b3o$10bo9b2o21bo3bo$29b2o13bobo9bo$45bo8b2o $55bo$17bo38b2o16b2o8b2o$16bo14b2o24bo17bo8b2o$18bo12b2o11b2o26b3o$15b o2bo25b2o26bo$89b3o$2b2o11b2o43b2o13b2o12bo2b2o$2b2o31bo24b2o12bobo16b o$35b3o36bo16bobo$38bo16bo17b2o$37b2o15bobo2$101b2o9b2o$100b2o9bobo$ 20b2o73bo6bo7b3o4b2o$20bo34b2o37bobo12b3o4bo2b4o$21b3o14b2o16bo35b2o3b o12b3o4b2ob3o$23bo5bo7bobo13b3o31b2o3b2o3bo13bobo$27bob2o6bobo13bo33b 2o3b2o3bo14b2o$28bobo5bo57bobo$39bo55bo$36bo3bo$28bob2o5b4o$27bob2o9bo $28b2o21b2o$52bo$51bo$51b2o43bo49bo$94b3o34b2o11b3o$37b2o31bo22bo26bo 10bo11bo26bo$38bo21bo9b3o20b2o25b3o9bo10b2o25b3o$38bobo17b2o13bo49bo7b 2o40bo23b2o$39b2o18b2o11b2o48b2o48b2o23bo$195bobo$103bo49bo37b2o2b2o$ 103b3o47b3o35b2o$106bo49bo$81bo23b2o11b2o35b2o11b2o$79b3o36b2o48b2o$ 62b2o15bobo$62b2o15bo2$47b2o$46bobo$46bo$45b2o$59b2o32b2o48b2o52b2o$ 59bo20b2o11b2o35b2o11b2o34b2o16bobo$60bo20bo49bo46bobo18bo13b2o$59b2o 17b3o47b3o47bo20b2o12bo$78bo49bo48b2o4b2o26bobo$182bobo26b2o$97b2o48b 2o33bo$98bo49bo32b2o7b2o$95b3o20b2o25b3o20b2o20b2o$95bo22bo26bo22bo$ 119b3o47b3o$121bo49bo$78bo$78b3o11b2o$54bo26bo11bo$52b3o25b2o10bo$26b 2o23bo40b2o$27bo23b2o$27bobo$28b2o2b2o37bo49bo$32b2o35b3o47b3o17b2o$ 68bo49bo20bo$55b2o11b2o35b2o11b2o20bo11bo27bo$55b2o48b2o32b2o9b3o27b3o $149bo33bo$149b2o10b2o19b2o$161bo15bo$159bobo15b3o$159b2o19bo$136b2o 41b2o$136b2o$26b2o52b2o$25bobo16b2o34b2o11b2o$25bo18bobo46bo$24b2o20bo 47b3o$40b2o4b2o48bo79b2o$40bobo133b2o17b2o$42bo33b2o48b2o67b2o$33b2o7b 2o32bo49bo18b2o$33b2o20b2o20b3o25b2o20b3o16bo$56bo22bo26bo22bo13b3o50b 2o$53b3o47b3o37bo52bo$53bo49bo79b2o12b3o$166b2o16bo14bo$166bo14b3o$ 167b3o11bo$169bo4$103bo$84b2o17b3o$85bo20bo$44bo27bo11bo20b2o11b2o$42b 3o27b3o9b2o32b2o$41bo33bo$41b2o19b2o10b2o$47bo15bo$45b3o15bobo72b2o$ 44bo19b2o72b2o$44b2o41b2o$87b2o4$134b2o$47b2o85b2o$28b2o17b2o$28b2o67b 2o$78b2o18bo$78bo16b3o20b2o$27b2o50b3o13bo22bo$28bo52bo37b3o$25b3o12b 2o79bo$25bo14bo16b2o$41b3o14bo$43bo11b3o$55bo!Code: Select all
#C period 750*5=3750 gun #C Note the use of an integral sign as a 2-mouthed eater. x = 215, y = 187, rule = B3/S23 29b2o$29b2o15b2o26b2o$46b2o26b2o2$5b2o$5b2o39b3o$46b3o3$74b3o$44b2o3b 2o22bo3bo$28b3o14b5o$27bo3bo14b3o23bo5bo$26bo5bo14bo24b2o3b2o$4b3o20bo 3bo$3bo3bo20b3o$2bo5bo19b3o44bo$2bo5bo65bob2o$5bo68bo16b2o$3bo3bo66bo 3bo10bo3bo$4b3o41bo26bo2bo4b2o3bo5bo13b2o$5bo24b3o16b2o24b5o3b2o2b2obo 3bo13b2o4b3o$25bo3b2ob2o14b2o25b5o8bo5bo10b2o6b5o$23b2o4b2ob2o40b2o3b 2o8bo3bo10b3o5bo3bobo$2b3o19b2o3b5o41b5o11b2o12b2o6bo3b2o$2b3o23b2o3b 2o21bo11bobo5b3o17bobo9b2o$bo3bo49bobo10b2o7bo18b2o10b2o$9bobo30b2o3b 2o20bo27bo$2o3b2o3b2o8b2o22b3o$10bo9b2o21bo3bo$29b2o13bobo9bo$45bo8b2o $55bo$17bo38b2o16b2o8b2o$16bo14b2o24bo17bo8b2o$18bo12b2o11b2o26b3o$15b o2bo25b2o26bo$89b3o$2b2o11b2o43b2o13b2o12bo2b2o$2b2o31bo24b2o12bobo16b o$35b3o36bo16bobo$38bo16bo17b2o$37b2o15bobo2$101b2o9b2o$100b2o9bobo$ 20b2o73bo6bo7b3o4b2o$20bo34b2o37bobo12b3o4bo2b4o$21b3o14b2o16bo35b2o3b o12b3o4b2ob3o$23bo5bo7bobo13b3o31b2o3b2o3bo13bobo$27bob2o6bobo13bo33b 2o3b2o3bo14b2o$28bobo5bo57bobo$39bo55bo$36bo3bo$28bob2o5b4o$27bob2o9bo $28b2o21b2o$52bo$51bo$51b2o43bo49bo$94b3o34b2o11b3o$37b2o31bo22bo26bo 10bo11bo26bo$38bo21bo9b3o20b2o25b3o9bo10b2o25b3o$38bobo17b2o13bo49bo7b 2o40bo23b2o$39b2o18b2o11b2o48b2o48b2o23bo$195bobo$103bo49bo37b2o2b2o$ 103b3o47b3o35b2o$106bo49bo$81bo23b2o11b2o35b2o11b2o$79b3o36b2o48b2o$ 62b2o15bobo$62b2o15bo2$47b2o$46bobo$46bo$45b2o$59b2o32b2o48b2o52b2o$ 59bo20b2o11b2o35b2o11b2o34b2o16bobo$60bo20bo49bo46bobo18bo13b2o$59b2o 17b3o47b3o47bo20b2o12bo$78bo49bo48b2o4b2o26bobo$182bobo26b2o$97b2o48b 2o33bo$98bo49bo32b2o7b2o$95b3o20b2o25b3o20b2o20b2o$95bo22bo26bo22bo$ 119b3o47b3o$121bo49bo$78bo$78b3o11b2o$54bo26bo11bo$52b3o25b2o10bo$26b 2o23bo40b2o$27bo23b2o$27bobo$28b2o2b2o37bo49bo$32b2o35b3o47b3o17b2o$ 68bo49bo20bo$55b2o11b2o35b2o11b2o20bo11bo27bo$55b2o48b2o32b2o9b3o27b3o $149bo33bo$149b2o10b2o19b2o$161bo15bo$159bobo15b3o$159b2o19bo$136b2o 41b2o$136b2o$26b2o52b2o$25bobo16b2o34b2o11b2o$10b2o13bo18bobo46bo$11bo 12b2o20bo47b3o$11bobo26b2o4b2o48bo79b2o$12b2o26bobo133b2o17b2o$42bo33b 2o48b2o67b2o$33b2o7b2o32bo49bo18b2o$33b2o20b2o20b3o25b2o20b3o16bo$56bo 22bo26bo22bo13b3o50b2o$53b3o47b3o37bo52bo$53bo49bo79b2o12b3o$146bo20b 2o15bo14bo$131b2o11b3o20bobo11b3o$131bo11bo25bo11bo$132bo10b2o24bobo$ 131b2o37b2o25b2o$197bo$195bobo$103bo49bo37b2o2b2o$84b2o17b3o47b3o35b2o $85bo20bo49bo$44bo27bo11bo20b2o11b2o35b2o11b2o$42b3o27b3o9b2o32b2o48b 2o$41bo33bo$41b2o19b2o10b2o$47bo15bo$45b3o15bobo$44bo19b2o$44b2o41b2o$ 87b2o$143b2o52b2o$130b2o11b2o34b2o16bobo$131bo46bobo18bo$128b3o47bo20b 2o$47b2o79bo48b2o4b2o$28b2o17b2o133bobo$28b2o67b2o48b2o33bo$78b2o18bo 49bo32b2o7b2o$78bo16b3o20b2o25b3o20b2o20b2o$27b2o50b3o13bo22bo26bo22bo $28bo52bo37b3o47b3o$25b3o12b2o79bo49bo$25bo14bo16b2o$41b3o14bo$43bo11b 3o$55bo4$121bo$119b3o17b2o$118bo20bo$105b2o11b2o20bo11bo27bo$105b2o32b 2o9b3o27b3o$149bo33bo$149b2o10b2o19b2o$161bo15bo$85b2o72bobo15b3o$85b 2o72b2o19bo$136b2o41b2o$136b2o4$89b2o$89b2o85b2o$176b2o17b2o$126b2o67b 2o$126bo18b2o$105b2o20b3o16bo$106bo22bo13b3o50b2o$103b3o37bo52bo$103bo 79b2o12b3o$166b2o16bo14bo$166bo14b3o$167b3o11bo$169bo!Code: Select all
#C period 750*13=9750 gun x = 215, y = 249, rule = B3/S23 29b2o$29b2o15b2o26b2o$46b2o26b2o2$5b2o$5b2o39b3o$46b3o3$74b3o$44b2o3b 2o22bo3bo$28b3o14b5o$27bo3bo14b3o23bo5bo$26bo5bo14bo24b2o3b2o$4b3o20bo 3bo$3bo3bo20b3o$2bo5bo19b3o44bo$2bo5bo65bob2o$5bo68bo16b2o$3bo3bo66bo 3bo10bo3bo$4b3o41bo26bo2bo4b2o3bo5bo13b2o$5bo24b3o16b2o24b5o3b2o2b2obo 3bo13b2o4b3o$25bo3b2ob2o14b2o25b5o8bo5bo10b2o6b5o$23b2o4b2ob2o40b2o3b 2o8bo3bo10b3o5bo3bobo$2b3o19b2o3b5o41b5o11b2o12b2o6bo3b2o$2b3o23b2o3b 2o21bo11bobo5b3o17bobo9b2o$bo3bo49bobo10b2o7bo18b2o10b2o$9bobo30b2o3b 2o20bo27bo$2o3b2o3b2o8b2o22b3o$10bo9b2o21bo3bo$29b2o13bobo9bo$45bo8b2o $55bo$17bo38b2o16b2o8b2o$16bo14b2o24bo17bo8b2o$18bo12b2o11b2o26b3o$15b o2bo25b2o26bo$89b3o$2b2o11b2o43b2o13b2o12bo2b2o$2b2o31bo24b2o12bobo16b o$35b3o36bo16bobo$38bo16bo17b2o$37b2o15bobo2$101b2o9b2o$100b2o9bobo$ 20b2o73bo6bo7b3o4b2o$20bo34b2o37bobo12b3o4bo2b4o$21b3o14b2o16bo35b2o3b o12b3o4b2ob3o$23bo5bo7bobo13b3o31b2o3b2o3bo13bobo$27bob2o6bobo13bo33b 2o3b2o3bo14b2o$28bobo5bo57bobo$39bo55bo$36bo3bo$28bob2o5b4o$27bob2o9bo $28b2o21b2o$52bo$51bo$51b2o43bo49bo$94b3o34b2o11b3o$37b2o31bo22bo26bo 10bo11bo26bo$38bo21bo9b3o20b2o25b3o9bo10b2o25b3o$38bobo17b2o13bo49bo7b 2o40bo23b2o$39b2o18b2o11b2o48b2o48b2o23bo$195bobo$103bo49bo37b2o2b2o$ 103b3o47b3o35b2o$106bo49bo$81bo23b2o11b2o35b2o11b2o$79b3o36b2o48b2o$ 62b2o15bobo$62b2o15bo2$47b2o$46bobo$46bo$45b2o$59b2o32b2o48b2o52b2o$ 59bo20b2o11b2o35b2o11b2o34b2o16bobo$60bo20bo49bo46bobo18bo13b2o$59b2o 17b3o47b3o47bo20b2o12bo$78bo49bo48b2o4b2o26bobo$182bobo26b2o$97b2o48b 2o33bo$98bo49bo32b2o7b2o$95b3o20b2o25b3o20b2o20b2o$95bo22bo26bo22bo$ 119b3o47b3o$121bo49bo$78bo$78b3o11b2o$54bo26bo11bo$52b3o25b2o10bo$26b 2o23bo40b2o$27bo23b2o$27bobo$28b2o2b2o37bo49bo$32b2o35b3o47b3o17b2o$ 68bo49bo20bo$55b2o11b2o35b2o11b2o20bo11bo27bo$55b2o48b2o32b2o9b3o27b3o $149bo33bo$149b2o10b2o19b2o$161bo15bo$159bobo15b3o$159b2o19bo$136b2o 41b2o$136b2o$26b2o52b2o$25bobo16b2o34b2o11b2o$10b2o13bo18bobo46bo$11bo 12b2o20bo47b3o$11bobo26b2o4b2o48bo79b2o$12b2o26bobo133b2o17b2o$42bo33b 2o48b2o67b2o$33b2o7b2o32bo49bo18b2o$33b2o20b2o20b3o25b2o20b3o16bo$56bo 22bo26bo22bo13b3o50b2o$53b3o47b3o37bo52bo$53bo49bo79b2o12b3o$146bo20b 2o15bo14bo$131b2o11b3o20bobo11b3o$131bo11bo25bo11bo$132bo10b2o24bobo$ 131b2o37b2o25b2o$197bo$195bobo$103bo49bo37b2o2b2o$84b2o17b3o47b3o35b2o $85bo20bo49bo$44bo27bo11bo20b2o11b2o35b2o11b2o$42b3o27b3o9b2o32b2o48b 2o$41bo33bo$41b2o19b2o10b2o$47bo15bo$45b3o15bobo$44bo19b2o$44b2o41b2o$ 87b2o$143b2o52b2o$130b2o11b2o34b2o16bobo$131bo46bobo18bo13b2o$128b3o 47bo20b2o12bo$47b2o79bo48b2o4b2o26bobo$28b2o17b2o133bobo26b2o$28b2o67b 2o48b2o33bo$78b2o18bo49bo32b2o7b2o$78bo16b3o20b2o25b3o20b2o20b2o$27b2o 50b3o13bo22bo26bo22bo$28bo52bo37b3o47b3o$25b3o12b2o79bo49bo$25bo14bo 15b2o20bo$41b3o11bobo20b3o11b2o$43bo11bo25bo11bo$53bobo24b2o10bo$26b2o 25b2o37b2o$27bo$27bobo$28b2o2b2o37bo49bo$32b2o35b3o47b3o17b2o$68bo49bo 20bo$55b2o11b2o35b2o11b2o20bo11bo27bo$55b2o48b2o32b2o9b3o27b3o$149bo 33bo$149b2o10b2o19b2o$161bo15bo$159bobo15b3o$159b2o19bo$136b2o41b2o$ 136b2o$26b2o52b2o$25bobo16b2o34b2o11b2o$10b2o13bo18bobo46bo$11bo12b2o 20bo47b3o$11bobo26b2o4b2o48bo79b2o$12b2o26bobo133b2o17b2o$42bo33b2o48b 2o67b2o$33b2o7b2o32bo49bo18b2o$33b2o20b2o20b3o25b2o20b3o16bo$56bo22bo 26bo22bo13b3o50b2o$53b3o47b3o37bo52bo$53bo49bo79b2o12b3o$146bo20b2o15b o14bo$131b2o11b3o20bobo11b3o$131bo11bo25bo11bo$132bo10b2o24bobo$131b2o 37b2o25b2o$197bo$195bobo$103bo49bo37b2o2b2o$84b2o17b3o47b3o35b2o$85bo 20bo49bo$44bo27bo11bo20b2o11b2o35b2o11b2o$42b3o27b3o9b2o32b2o48b2o$41b o33bo$41b2o19b2o10b2o$47bo15bo$45b3o15bobo$44bo19b2o$44b2o41b2o$87b2o$ 143b2o52b2o$130b2o11b2o34b2o16bobo$131bo46bobo18bo$128b3o47bo20b2o$47b 2o79bo48b2o4b2o$28b2o17b2o133bobo$28b2o67b2o48b2o33bo$78b2o18bo49bo32b 2o7b2o$78bo16b3o20b2o25b3o20b2o20b2o$27b2o50b3o13bo22bo26bo22bo$28bo 52bo37b3o47b3o$25b3o12b2o79bo49bo$25bo14bo16b2o$41b3o14bo$43bo11b3o$ 55bo4$121bo$119b3o17b2o$118bo20bo$105b2o11b2o20bo11bo27bo$105b2o32b2o 9b3o27b3o$149bo33bo$149b2o10b2o19b2o$161bo15bo$85b2o72bobo15b3o$85b2o 72b2o19bo$136b2o41b2o$136b2o4$89b2o$89b2o85b2o$176b2o17b2o$126b2o67b2o $126bo18b2o$105b2o20b3o16bo$106bo22bo13b3o50b2o$103b3o37bo52bo$103bo 79b2o12b3o$166b2o16bo14bo$166bo14b3o$167b3o11bo$169bo!
The fully Spartan Demonoid, which can be found here.
Unfortunately, I doubt it. As far as I know, mtve never even got the other $50 for solving the grandfather problem in 2016. I have a feeling Conway was expecting both of these problems to take only a few years at most and then forgot about them after he retired from CA research, since the prize wasn't adjusted for inflation ($50 in 1972 is equivalent to $286.98 in 2016 and $321.87 in 2022).C28 wrote: ↑January 13th, 2022, 7:53 pmwill the person who solves the uniquie father problem get the $50 cash prize even though john conway is deceased?
I think it would be nice to send Törmä and Salo the $50 prize from the community as a whole. I'm happy to pay the cost of this if people think it's a good idea. (I also mentioned this on the Discord.) I'll happily send a belated prize to mtve as well if there's a postal address for them.Ian07 wrote: ↑January 13th, 2022, 8:20 pmUnfortunately, I doubt it. As far as I know, mtve never even got the other $50 for solving the grandfather problem in 2016. I have a feeling Conway was expecting both of these problems to take only a few years at most and then forgot about them after he retired from CA research, since the prize wasn't adjusted for inflation ($50 in 1972 is equivalent to $286.98 in 2016 and $321.87 in 2022).C28 wrote: ↑January 13th, 2022, 7:53 pmwill the person who solves the uniquie father problem get the $50 cash prize even though john conway is deceased?
I took the liberty to name the overclocked Silver's reflector as QuickSilver.
You definitely didn't miss anything obvious, but there is a workaround to trick Golly into saving rle.gz or mc.gz with comments. I'm sure I've explained it somewhere before, but can't find it, so this must be a good question to answer again!GUYTU6J wrote: ↑January 16th, 2022, 5:15 amNot sure whether I missed something, but how do I create a .rle.gz file with comments in Golly (like four-primers.rle.gz)? Simply opening an RLE containing the comment and saving it as .rle.gz will lose it, and .rle.gz files cannot be edited by notepad to add info.
Highway robber, but the best known one is pretty large.Wyirm wrote: ↑January 18th, 2022, 10:25 amPretty specific question, are there any "edgy" glider converters? edgy meaning it accepts the glider from the edge of the conduit (perpendicular to the direction of the gilder), down to the very half diagonal. One that would convert a glider in one lane, but another glider 1 hd over would pas by cleanly? There is likely nothing like this out there, but it would certainly be nice if there are.
it's the "rotors" part that solves this. the Cloudsdale p6 doesn't seem to be decomposable into smaller oscillators.creeperman7002 wrote: ↑January 20th, 2022, 12:42 pmThe p6 found in Cloudsale makes me question the current definition of trivial. Under that definition, that p6 would be trivial since no cell oscillates at the full period, but that oscillator looks quite non-trivial despite satisfying that definition. Maybe the definition should be changed to:
An oscillator is considered trivial if no cell oscillates at the full period and none of the rotors interact with each other.