Herschels

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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Awesomeness
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Joined: April 5th, 2009, 7:30 am

Herschels

Post by Awesomeness » September 13th, 2010, 8:34 pm

Where do I find all these elementary conduits? Where do I find the more complicated ones? Although I know how to use them to make a track that doesn't blow up, how would I make a Herschel-to LWSS converter that works via synthesis, not some fancy conduit? (Don't even give one to me until I finish, because I'm sure one already exists. I want to do it myself, I'm just asking how you would go about it.)

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calcyman
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Re: Herschels

Post by calcyman » September 14th, 2010, 2:07 am

how would I make a Herschel-to LWSS converter that works via synthesis, not some fancy conduit?
There's a fairly standard procedure:
  • Use a Herschel triplicator to split the incident Herschel into three separate Herschels.
  • Create three tracks, one for each Herschel, to direct them to specific position/time pairings.
  • Append a Herschel-to-glider converter to the end of each track, to produce the three gliders to synthesise the LWSS.
There are six degrees of freedom, however, and Hersrch has not been adapted to find optimal solutions to multi-Herschel searches. You can still find a reasonably good solution, however, by fixing a few of the degrees of freedom and Hersrching for each individual track.


Where do I find all these elementary conduits? Where do I find the more complicated ones?
The 17 elementary conduits are included within Hersrch. There are only a handful of composite conduits (mainly Boojum modifications of existing conduits), and it is unlikely that you'll ever need to use them. An example is my horrible F268; the only possible application is to translate a Herschel diagonal at a high speed.

It also has an incredibly large recovery time; indeed, it is remarkable that it cleans itself up! Below are several chained copies of the F268:

Code: Select all

x = 254, y = 213, rule = B3/S23
140boo$140boo42bo$183bobo$183bobo$184bo$173bo$173bo$173b3o$175bo$133b
oo$132bobo$132bo$131boo4boo$138bo$134bobo$132b3oboo$131bo$132b3oboo$
134boboo$$132bo$132b3o$135bo$134bobo$135bo$$133bo$132bobobo$132bobboo$
131boo3$137bo$136bobo$136boo$174boo$130boo42boo$131bo$131bobo$132boo$$
99boo$99boo3$152boo8boo$132bo19boo8boobboo$132bo33bobo$132b3o33bo$134b
o33boo$92boo55boo$91bobo55boo$91bo$90boo4boo$97bo$93bobo51boo$91b3oboo
49bobbobboo$90bo55bobo4bobbo67bo$91b3oboo50bo5bobobo65bobo$93boboo53b
oobobbo66bobo$150bobbo70bo$91bo55bo4bo$91b3o53b5o$94bo$93bobo53bo$94bo
53bobo$149bo$92bo$91bobobo$91bobboo$90boo$$233boo$96bo136boo$95bobo$
95boo118boo$133boo79bobo$89boo42boo79bo$90bo122boo$90bobo151boo$91boo
150bobbobboo$243bobo4bo$58boo164boo18bo5boboo$58boo163bobo21boobobo$
223bo23bobbobbo$222boo20bo4bobboo$111boo8boo121b5o$91bo19boo8boobboo$
91bo33bobo118boobo$91b3o33bo118boboo$93bo33boo$51boo55boo$50bobo55boo$
50bo$49boo4boo$56bo$52bobo51boo$50b3oboo49bobbobboo$49bo55bobo4bobbo
67bo$50b3oboo50bo5bobobo65bobo$52boboo53boobobbo66bobo$109bobbo70bo$
50bo55bo4bo$50b3o53b5o$53bo$52bobo53bo$53bo53bobo$108bo$51bo$50bobobo$
50bobboo$49boo$$192boo$55bo136boo$54bobo$54boo118boo$92boo79bobo$48boo
42boo79bo$49bo122boo$49bobo151boo$50boo150bobbobboo$202bobo4bo$17boo
164boo18bo5boboo$17boo163bobo21boobobo$182bo23bobbobbo$181boo20bo4bobb
oo$70boo8boo121b5o$50bo19boo8boobboo$50bo33bobo118boobo$50b3o33bo118bo
boo$52bo33boo$10boo55boo$9bobo55boo$9bo$8boo4boo$15bo$11bobo51boo$9b3o
boo49bobbobboo$8bo55bobo4bobbo67bo$9b3oboo50bo5bobobo65bobo$11boboo53b
oobobbo66bobo$68bobbo70bo$9bo55bo4bo$9b3o53b5o$12bo$11bobo53bo$12bo53b
obo$67bo$10bo$9bobobo$9bobboo$8boo$$151boo$14bo136boo$13bobo$13boo118b
oo$51boo79bobo$7boo42boo79bo$8bo122boo$8bobo151boo$9boo150bobbobboo$
161bobo4bo$142boo18bo5boboo$141bobo21boobobo$141bo23bobbobbo$140boo20b
o4bobboo$29boo8boo121b5o$9bo19boo8boobboo$9bobo31bobo118boobo$9b3o33bo
118boboo$11bo33boo$26boo$26boo3$bboo$3bo20boo$3o20bobbobboo$o22bobo4bo
bbo67bo$24bo5bobobo65bobo$27boobobbo66bobo$27bobbo70bo$24bo4bo$24b5o$$
26bo$25bobo$26bo6$110boo$110boo$$92boo$91bobo$91bo$90boo$121boo$120bo
bbobboo$120bobo4bo$101boo18bo5boboo$100bobo21boobobo$100bo23bobbobbo$
99boo20bo4bobboo$121b5o$$123boobo$123boboo!
What do you do with ill crystallographers? Take them to the mono-clinic!

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dvgrn
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Re: Herschels

Post by dvgrn » September 14th, 2010, 7:56 am

Awesomeness wrote:...how would I make a Herschel-to LWSS converter that works via synthesis, not some fancy conduit?
Does it have to be all gliders, or does a ship plus two gliders count as a "synthesis"? How about a Herschel plus one glider? The following would make a somewhat simpler practice problem than a 3-glider recipe -- there's not a lot of conduit in it, but I'm afraid it may still be too fancy:

Code: Select all

#C Synchronized glider and Herschel produce an downward LWSS.
#C Delaying the glider by one tick would produce an MWSS instead.
x = 25, y = 27, rule = B3/S23
7b2o$8bo$8bobo$9b2o4$23b2o$23b2o2$9bo$9bobo$9b3o$11bo5$2b2o$3bo$3o$o3$
8bo$8b2o$7bobo!
Just as an aside: oddly enough, no one has quite been able to come up with a Herschel-to-*WSS "fancy conduit" yet (i.e., a direct converter). There are some almost-clean ones, but the conversion reaction generally eats a still life which then has to be rebuilt somehow:

Code: Select all

#C Herschel + beehive -> LWSS -- Dieter Leithner, 9 Aug 1997
x = 37, y = 51, rule = B3/S23
15bo$14bobo$14bobo$7bo7bo$7b3o$10bo$9b2o7$35b2o$35b2o8$14bo$13bobo$13b
2o2$7b2o$8bo$8bobo$9b2o6$29b2o$9bo19b2o$9bobo$9b3o$11bo$26b2o$26b2o3$
2b2o$3bo$3o$o16b2o$18bo$15b3o$15bo!
It seems very probable that direct clean *WSS converters are out there waiting to be found, but someone may have to write a new distributed search utility to locate it...

Awesomeness
Posts: 126
Joined: April 5th, 2009, 7:30 am

Re: Herschels

Post by Awesomeness » September 14th, 2010, 7:50 pm

Thank for the responses! By the way, I see eight billion .rle's in Hersrch. Could you please paste the basic conduits into this thread for me?

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dvgrn
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Re: Herschels

Post by dvgrn » September 15th, 2010, 5:15 am

Awesomeness wrote:...I see eight billion .rle's in Hersrch. Could you please paste the basic conduits into this thread for me?
What! And give away all the carefully guarded secrets of the Herschel Plumbers' Guild -- just like that?

... Well, okay -- but only because you said "please".

The following is a fairly complete "stamp collection" of the Herschel conduits that Hersrch knows about. Have been planning to clean this up and publish it for some years now, actually -- thanks for giving me an excuse to finally work on it! There's some more cleanup to do; for example, I'd like to see a version showing the "envelopes" of all the active reactions (the blue cells, after you run this pattern for a while.)

I didn't limit the stamp collection to just the "basic conduits", so if you want a less cluttered collection, just delete all the periodic conduits (the ones with a "p" in the name).

On the other hand, Hersrch only knows about non-adjustable conduits, so there's another whole collection of useful components that's not represented here. Not to mention the various switches and period multipliers and signal splitters and Herschel-to-glider converters and so on. I can try to post some follow-up stamp collections on request, along these lines, if someone else doesn't beat me to it --

Code: Select all

#C Herschel conduit stamp collection in LifeHistory format, based on
#C   Karel Suhajda's herschel.lif (came with his Hersrch utility).
#C
#C F = forward, L = left, R = right, B = back, x = flipped output.
#C
#C Conduits are labeled with the number of ticks needed to produce
#C   the output.  Numbers in parentheses are the conduit's recovery
#C   time.  "pN" denotes a periodic conduit; oscillators are timed
#C   to work with the input Herschel.
#C
#C Ghost output Herschels are used to avoid interference with inputs.
#C    Ghost input Herschels are used only in conduits that interfere
#C    with the input before the standard 7-cell Herschel phase.
#C    In these cases, a reference pattern has been added under the
#C    label to show an alternate input object.  In the case of the
#C    'dependent conduit' variants, this is a 3-tick predecessor of
#C    a Herschel, so if you use this in a periodic conduit, you'll
#C    also have to rephase the oscillators by 3 ticks to match.
#C 
#C When copying conduits out of the stamp collection, avoid
#C   selecting the gray cells from the bounding boxes -- these allow
#C   the stamp collection to be run without gliders from one conduit
#C   affecting the reactions in other conduits.  There are also extra
#C   gray cells along the boundaries to suppress output Herschels;
#C   these may cause unexpected behavior if copied to other patterns.
#C
#C Dave Greene, 19 September 2010
x = 571, y = 760, rule = LifeHistory
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161.F2.D3.D6.D6.D65.F75.F79.F94.F$161.F16.D7.D36.A24.F75.F79.F85.2A.A
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25.F79.F42.A12.3A.A.A.3A6.A21.F$161.F2.D4.D9.D.D.D4.D37.2A8.A.A9.F15.
D31.A27.F79.F39.3A9.2A.A11.A7.A19.F$161.F14.D49.A6.2A.A.A.A7.F75.F79.
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D30.A21.A6.F79.F46.A.A6.A3.3A13.A18.F$161.F67.3A.A.A5.A6.F66.3A6.F79.
F45.A.A9.A.A.A.2A.A27.F$161.F70.A2.6A7.F65.A9.F79.F45.A10.2A.A.A.A.2A
10.3C14.F$161.F67.2A.A.A3.A9.F65.2A8.F79.F44.2A11.A.A2.A14.C16.F$161.
F67.A.2A.2A12.F3.D3.D2.D.D5.D5.D50.F79.F57.A2.2A14.2CD15.F$161.F86.F
16.D3.D38.2A14.F79.F56.2A36.F$161.F86.F2.D4.D5.D11.D32.A2.2A12.F79.F
94.F$161.F86.F20.D37.A2.2A.2A9.F79.F94.F$161.F86.F2.D4.D4.D5.D6.D33.
3A2.3A8.F79.F94.F$161.F86.F60.A6.A7.F79.F94.F$161.88F2.D4.D5.D2.D8.D
13.E22.5A8.F79.F83.F10.F$161.F77.F8.F39.E.E20.4A9.F79.96F$161.F86.F3.
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4.F53.2A6.3A2.3A6.F$161.F2.D3.D6.D6.D50.3C12.F53.A8.2A.2A2.A5.F$161.F
16.D6.D3.D50.2A6.F54.3A8.2A2.A5.F$161.F2.D3.D6.D6.D48.A8.2A6.F56.A10.
2A6.F$161.F4.D4.D.D4.D.D5.D.D59.F75.F$161.F68.A17.F61.2A12.F$161.F16.
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3.D3.D2.D.D.D4.D5.D60.F75.F$161.F17.D3.D64.F75.F$161.F2.D4.D2.D15.D
31.E27.77F$161.F21.D36.E.E25.F$161.F2.D4.D2.D.D6.D6.D31.3E25.F$161.F
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161.F86.F$161.F86.F$161.F86.F$161.88F$161.F68.F17.F$161.F86.F$161.F
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23.F$161.F2.D3.D6.D6.D41.3C21.F$161.F16.D6.D6.D55.F$161.F2.D3.D6.D6.D
39.A17.A7.F$161.F4.D4.D.D4.D.D4.D.D.D2.D.D.D41.3A7.F$161.F59.A15.A10.
F$161.F16.D40.A17.2A9.F$161.F86.F$161.F16.D39.A29.F$161.F86.F$161.F
72.A13.F$161.F3.D3.D2.D.D.D6.D3.D46.2A.A.A8.F$161.F70.A2.2A.2A8.F$
161.F2.D4.D2.D8.D.D4.D42.A2.2A3.A8.F$161.F49.E19.A16.F$161.F2.D4.D2.D
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4.D9.D.D.D4.D24.E21.2A2.A8.F$161.F14.D63.A7.F$161.F3.D3.D2.D.D8.D3.D
37.2A5.A3.2A2.A7.F$161.F63.A6.2A.2A2.A8.F$161.F64.3A3.A.A.2A10.F$161.
F65.A9.A10.F$161.F63.A3.A18.F$161.F63.4A.A17.F$161.F68.A17.F$161.F65.
3A3.2A13.F$161.F65.A6.A13.F$161.F69.3A14.F$161.F69.A16.F$161.F86.F$
161.F86.F$161.F86.F$161.F86.F$161.F86.F$161.88F!
I've generally found it much easier to work on Herschel circuitry using the LifeHistory rule, with conduits that include the envelope cells so I can see where the active reaction will go and avoid any collisions. In my conduit collection, both the start and end Herschels have been converted to "ghost" Herschels, so I can string together conduits without stopping to delete extra Herschels. Then when the pattern is complete and working, I convert it back to two-state B3/S23.

I had to use ghost output Herschels in the above pattern, since otherwise in many cases they would have interfered with the input Herschels. Also, in a few cases -- the "dependent" conduits and one of the periodic ones -- I had to use ghost input Herschels as well. Those conduits in the stamp collection don't run the way the others do, because they start interfering with the input Herschel before it reaches the canonical 7-bit phase -- so starting from a normal Herschel doesn't work. There's a reference pattern under the label in those cases, showing the input object that you should start with instead.

Here's a Python script to convert a LifeHistory pattern into plain-vanilla Life:

Code: Select all

# Switch current pattern to standard Conway's Life rule
# Author: Dave Greene, April 2009.
import golly as g
if g.getrule()=="LifeHistory" or g.getrule()=="HistoricalLife":
   # unmark any marked cells
   cells=g.getcells(g.getrect())
   for i in xrange(2,len(cells), 3):
      cells[i]=cells[i]%2
   g.select(g.getrect())
   g.clear(0)
   g.select([])
   g.putcells(cells)
g.setrule("Life")
g.setalgo("HashLife")
This will remove all the labels and bounding boxes in the above pattern, though. So if you just don't like the LifeHistory rule, you're probably better off converting the pattern with a straight copy/paste operation into a B3/S23 universe (may have to be non-empty, depending on your Golly Preferences > Edit settings). Or use Control > Set Rule.

But again, if you're going to do much Herschel engineering, I'd recommend trying to get used to working in LifeHistory. For anyone running a pre-2.0 version of Golly... well, it might be time to upgrade! If there are any problems with the stamp collection, please let me know -- I can certainly post a version in a different format if necessary.

Keep the cheer,


DaveG

Edit: added a few missing periodic conduits to the stamp-collection pattern: Fx177p6, Fx78p8, Lx73p5.

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Andrew
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Re: Herschels

Post by Andrew » September 15th, 2010, 8:14 pm

dvgrn wrote:If there are any problems with the stamp collection, please let me know...
I wasn't able to load your LifeHistory pattern the first time I tried because Golly was using the 5-state LifeHistory rule included in LifeHistoryRules.zip which I'd downloaded from the Rule Table Repository. If anybody else gets bitten by this, you need to remove LifeHistory.table and LifeHistory.colors from your rules folder (the path is specified in Prefs > Control) so that Golly uses the corresponding files in the supplied Rules folder.

Dave, I really think we should update the stuff in LifeHistoryRules.zip so that it matches Golly's supplied LifeHistory rule.
Use Glu to explore CA rules on non-periodic tilings: DominoLife and HatLife

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dvgrn
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Re: Herschels

Post by dvgrn » September 16th, 2010, 8:10 am

Andrew wrote:Dave, I really think we should update the stuff in LifeHistoryRules.zip so that it matches Golly's supplied LifeHistory rule.
And I promised to do that back in May, too -- my apologies. I don't have much time left before this weekend, but I'll take care of the problem then. As it happens, I had to update several of my short color-handling scripts yesterday to rebuild that Herschel stamp-collection pattern, so now would be a good time to throw the latest collection into LifeHistoryRules.zip.

This may have been the first public use of a LifeHistory pattern with the gray bounding-box "killer" cells -- or at least their first use for their intended purpose: see the "Gray Cells" thread. There are small 90-degree stable reflectors, even!

Running Karel's original Herschel stamp collection to watch the conduits work always created huge and distracting explosions; even if you got rid of the bounding boxes, gliders from another conduit would tend to sneak in to the one you were interested in and delete a key still life or something, causing all kinds of confusion. So the gray killer cells seemed appropriate here. LifeHistory also provides a convenient way to mark input and output Herschels in different colors, and show where the optional glider outputs are, and so forth.

It's perfectly possible that wider use of LifeHistory patterns will turn out to cause new kinds of confusion, though. For example, if you run a LifeHistory pattern for a while and then try to convert it to plain Life with Control > Set Rule, the results aren't pretty at all -- history cells become ON cells. You need either a conversion script or a custom rule to make that transition.

Or I think you could easily "solve" the old problem of appending an Fx119 conduit to an R64 conduit in LifeHistory, with just one additional gray cell. If someone gets used to temporarily blocking output gliders with gray cells, and then builds a large construction that includes a blocked R64+Fx119 conduit... well, it won't work when you convert it back to plain-vanilla Life, and not too many people are really interested in circuitry that only functions in LifeHistory mode!

-- So some caution is advised. I'll be interested to see if any other difficulties show up that I haven't thought of -- will try to keep an eye out for new problems.

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abiessu
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Re: Herschels

Post by abiessu » September 16th, 2010, 11:11 am

Awesomeness wrote:Where do I find all these elementary conduits? Where do I find the more complicated ones? Although I know how to use them to make a track that doesn't blow up, how would I make a Herschel-to LWSS converter that works via synthesis, not some fancy conduit? (Don't even give one to me until I finish, because I'm sure one already exists. I want to do it myself, I'm just asking how you would go about it.)
For reference, here is a glider to herschel to LWSS mobile converter, in case it helps your efforts:

Code: Select all

x = 219, y = 68, rule = B3/S23
182b4o$181b6o$180b2ob4o$181b2o5$159bo$158bo$158bo5bo$158b6o34bo$197bo$
197bo5bo$197b6o10b2o$212b2ob4o$213b6o$113b4o97b4o$112b6o$111b2ob4o$
101bo10b2o$100bo$100bo4bo$92b4o4b5o$91b6o$90b2ob4o43b4o$18b3o70b2o46b
6o$9b2o6b5o116b2ob4o$8b2ob3o2b2ob3o117b2o10b2o$4o5b5o3b2o14b5o112b2ob
4o$o3bo5b3o12b2o6bo4bo112b6o$o23b2ob3o3bo118b4o45b2o$bo23b5o4bo85b4o
76b2ob4o$26b3o90b6o76b6o$118b2ob4o77b4o$3b2o6bo107b2o$2bo2bo4b3o$2bo2b
o3b2obo$2b2ob2o3b2o$4b2o5bo$13bo2bo$4b2o5bob5o$2b2ob2o3b2ob3ob2o65b2o
13b5o$2bo2bo4b4o3b2o64b2ob3o10bo4bo$2bo2bo3b5obob2ob2obo60b5o10bo$3b2o
7b6o2b4o61b3o12bo2$3b2o7b6o2b4o$2bo2bo3b5obob2ob2obo$2bo2bo4b4o3b2o$2b
2ob2o3b2ob3ob2o$4b2o5bob5o55bo$13bo2bo55bo$4b2o5bo60bo4bo$2b2ob2o3b2o
52bo7b5o$2bo2bo3b2obo50bo$2bo2bo4b3o50bo4bo$3b2o6bo51b5o2$26b3o$bo23b
5o$o23b2ob3o$o3bo5b3o12b2o16bo$4o5b5o3b2o23bo$8b2ob3o2b2ob3o20bo4bo12b
o$9b2o6b5o20b5o12bo$18b3o38bo4bo$59b5o!
(If it isn't obvious) The entire conversion happens in the trailing three HWSS, the rest just set up the herschel and clean up the extra debris. This particular conversion chain is useful for any glider stream of period greater than (or equal to?) 32.

Code: Select all

x = 26, y = 26, rule = B3/S23
12b3o$11b5o$11b3ob2o$14b2o$18b2o2b4o$20b2o3bo$19bo5bo$24bo$19bo2bo$19b
2o$21bo$5bo7bo4bo4bo$6bo7bo9bo$o5bo2bo4bo4bo4bo$b6o3b5o5b5o2$18bobo$
17bo2bo$18bobo$18b2o$18b2ob5o$25bo$12b3o3bo6bo$11b5o3b2o3bo$11b3ob2o$
14b2o!

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scote
Posts: 6
Joined: February 4th, 2010, 11:21 am

Re: Herschels

Post by scote » September 17th, 2010, 2:04 pm

dvgrn wrote: ...
The following is a fairly complete "stamp collection" of the Herschel conduits that Hersrch knows about. ...
I made a small contribution by finding Lx73p5, that seems to be missing from your collection. It's featured in the p145 gun shown here:

Code: Select all

x = 112, y = 54, rule = B3/S23
52b2o14bo25bo$27b2o24bo14b3o21b3o$28bo13b2o6b3o18bo19bo9bo$28bobo11b2o
6bo19b2o19b2o6b5o$14b2o13b2o67bo5bo$14b2o82bob2o2bo$47b3o36bo10b2obobo
b3obo$47b2obo34b2o15bo4b2o$8b2o41bo33b2ob2ob2o7bobob2o$8b2o36b2obobo
35b3o9b2obobob5o$12b2o31b3o2b2o8b2o26bo2bo5b2o3bo5bo2bo$12b2o31bob2ob
2o8b2o31bo3b2obo2b4o3b2o$42bob2o3bo37b4o5b2o2b3o4bo$42bo6bo37b2o2bo4b
3o6bobo$42bo3b3o40bo6b3o6bobo$7b2o87b2o2b3o4bo$7b2o70b2o16b2obo2b4o3b
2o$57b2o20b2o8bo7b2o3bo5bo2bo$27bo3b2o24bo30bobo8b2obobob5o$26bobo3bo
5b2o3b2o13bo32bo8bobob2o$26b2o3bo7bo3bo13b2o29bo2bo10bo4b2o$30bo5b3o5b
3o42bob2o4b2obobob3obo$26b5obo3bo9bo44b3o4bob2o2bo$26bo4b2o55b2ob2o5bo
5bo$27b3o58b2o2bo6b5o$29bob2o56b3o9bo$30bobo57bo$21bo57bobo$10bo9b3o
56b2obo$8b5o6bo2b2o58b3o$7bo5bo5b2ob2o55b2o4bo$7bo2b2obo4b3o44bo9bo3bo
b5o$3bob3obobob2o4b2obo42b3o5b3o5bo$3b2o4bo10bo2bo29b2o13bo3bo7bo3b2o$
6b2obobo8bo32bo13b2o3b2o5bo3bobo$b5obobob2o8bobo30bo24b2o3bo$o2bo5bo3b
2o7bo8b2o20b2o$2o3b4o2bob2o16b2o70b2o$4bo4b3o2b2o87b2o$4bobo6b3o6bo40b
3o3bo$4bobo6b3o4bo2b2o37bo6bo$4bo4b3o2b2o5b4o37bo3b2obo$2o3b4o2bob2o3b
o31b2o8b2ob2obo31b2o$o2bo5bo3b2o5bo2bo26b2o8b2o2b3o31b2o$b5obobob2o9b
3o35bobob2o36b2o$6b2obobo7b2ob2ob2o33bo41b2o$3b2o4bo15b2o34bob2o$3bob
3obobob2o10bo36b3o$7bo2b2obo82b2o$7bo5bo67b2o13b2o$8b5o6b2o40bo6b2o11b
obo$10bo9bo22bo15b3o6b2o13bo$17b3o24bo13bo24b2o$17bo24b3o13b2o!

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