## Pattern of the Year 2015 (Entries)

For general discussion about Conway's Game of Life.

### Pattern of the Year 2015 (Entries)

First of all, I would like to wish all of you a happy New Year!

#C Fair warning: LifeViewer chokes on this.x = 769, y = 1109, rule = 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2015 has given us many wonders, and I thought it would be a great idea to renew the tradition of the Pattern of the Year competition.

I now encourage you to enter the patterns that you consider to be the coolest, funniest of otherwise best. You may enter both your own and other people's patterns in any sensible amount, but the patterns should have been discovered in 2015 and should work under B3/S23. It is so far not necessary to post any links or descriptions, although later I will ask for them. If everybody else thinks that the pattern you entered should not be here, I will remove it. Catagolue is not a pattern.

Here are my entries:

• Demonoids and gun for one of them
• Syntheses of B29, X66, half-X66 with HWSS, Pushalong 1, 25P3H1V0.2, 30P5H2V0, 30P4H2V0.4, a pufferfish spaceship, and the weekender (I think they should go as one entry)
• Very-very small sawtooth
• HBK gun - yes, it was really made in 2015, not 2014
• Recursive filter

Here are other people's entries combined:

• Simkin glider gun
• simek's new single-lane construction arm toolkit
• Kazyan's syringe
• Kazyan's H-to-MWSS converter
• Scorbie's and codeholic's [L|M]WSS->G converter
• The new and improved Elementary Conduits collection
• Chris Cain's collection of new smaller glider guns
• Bob Shemyakin's collections of optimized glider syntheses
• tlog(log(t)) growth
• Chris Cain's glider-to-weekender-to-glider converter
• dragon lightsaber

When there are no new entries for 48 hours, the competition will proceed to its next part.
Last edited by Alexey_Nigin on January 2nd, 2016, 4:43 am, edited 5 times in total.
There are 10 types of people in the world: those who understand binary and those who don't.

Alexey_Nigin

Posts: 323
Joined: August 4th, 2014, 12:33 pm
Location: Ann Arbor, MI

### Re: Pattern of the Year 2015 (Entries)

Simkin glider gun, because it is the smallest glider gun and also spartan.
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

drc

Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

### Re: Pattern of the Year 2015 (Entries)

Alexey_Nigin wrote:First of all, I would like to wish all of you a happy New Year!

To you too!

Alexey_Nigin wrote:
#C Fair warning: LifeViewer chokes on this.

This unreleased new build chokes less

rowett
Moderator

Posts: 1444
Joined: January 31st, 2013, 2:34 am
Location: UK

### Re: Pattern of the Year 2015 (Entries)

More nominations:

simek's new single-lane construction arm toolkit -- this will probably turn out to be the biggest advance in self-constructing circuitry since the Gemini, once the recipes are developed further.
Kazyan's syringe -- the fast G-to-H that Herschel plumbers have been wishing for for a decade, also allowing for fast signal splitters and other more efficient circuitry
Kazyan's H-to-MWSS converter, another long-time Holy Grail for stable circuitry enthusiasts (how many of us are there now? Are we in the double digits these days?)
Scorbie's and codeholic's [L|M]WSS->G converter, a minor miracle of modern Life engineering.
The new and improved Elementary Conduits collection -- thunk's version of the ECC is currently the latest and greatest.
Chris Cain's collection of new smaller glider guns -- presumably counts as one entry. Uses a lot of syringes and other new conduits and converters from the ECC.
Bob Shemyakin's collections of optimized glider syntheses, completed (though not necessarily complete) this year.

All in all I'd say that 2015 has been a very good year for B3/S23!

(And I hope simsim314's engineless Caterpillar gets finished in 2016. It would definitely be near the top of my list if a working example were available! It's gotten to that last-10% stage of development that requires 90% of the work, I think.)

dvgrn
Moderator

Posts: 5702
Joined: May 17th, 2009, 11:00 pm

### Re: Pattern of the Year 2015 (Entries)

dvgrn wrote:All in all I'd say that 2015 has been a very good year for B3/S23!

I would certainly agree that that is the case. In fact, that's probably the reason I came to (and actually participated in!) CGoL in the first place. The last few years--forty after the creation of this piece of recreational mathematics--have been simply amazing.

I have nothing to add to the above nominations, but Happy New Year, everyone!
"What's purple and commutes?
The Evanston Express."
thunk

Posts: 165
Joined: October 3rd, 2015, 8:50 pm
Location: Central USA

### Re: Pattern of the Year 2015 (Entries)

I want to nominate the Demonoid, and Alexey's Sawmill, specifically the recursive filter, which is probably my favorite pattern of 2015.
If anyone doesn't remember the recursive filter, here it is:
x = 248, y = 79, rule = B3/S23120b2o$119b3o$116bob2o15bo$103bo12bo2bo8b3o4bobo$102bobo11bob2o16bobo$92b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$35bo55bobo6b2ob2o15b2o2bo3bo7bobo4b2o$34bobo53bo6b3obob2o20bo2bo6bobo$33bob2o15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$9b2o16b2o3b2ob2o14bobo27b2o7bo6b2o4bo$9b2o16b2o4bob2o13bo6b2o32bobo$34bobo13bo2bo2bo2bob2o29b2o63bo$35bo5bo8bo6b2o2b2o10b2o42bo39b3o$41bobo7bobo19bobo28bobo10bobo40bo$41b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$60bo6bo2bo2bo2bo10bo2bo4bo9bo$60b4o4b2o6bo9b2o5b2o$44bo16b4o8bobo8b2o3bo8b2o$43bobo5b2o8bo2bo8b2o11b2o10b2o$34bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$33bo7b2o3bo4bobob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$7b5o21b3o5b2o3bo5b2o3bo2bo16b2o34b2o50bo$6bob3obo25b2o3bobo10bo55b2o38b2o19b2o$7bo3bo25bobo4bo8bo2bo95b2o19b2o$8b3o26bo136bo$9bo26b2o132b4o$169bo3bo$26bo36bo5bobo97b3o$26bobo6b2o4bo4b2o16bo4b2o100b2o$7bo18b2o6bo2bobo3bobo2bo13b3o5bo102bo$7bo26b3o9b3o125bo4b2o56bobo$6bobo5bo22b2o5b2o29b2o96bo5b2o52b3o3bo$5b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$4bo5bo2b2o21b2o7b2o172b2o8bo6bo3b2o$7bo211b3o7bob2o2b2obo$4b2o3b2o60bo55bo92bo2bobob2o2bo6bo3bo$23b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$22b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$22b2ob2o10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$o23b2o11b4o13b2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$3o35b2o52b4o26b4o93b2o2b2o3b4o3bo6bo2bo$3bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$2b2o5bo85bo29bo93b3o7bob2o2b2obo$10b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$12bo4b2o41bo5bo111bo54b2o5b2o$18b2o32bo5bobo5b2o111bo53b3o3bo$17bo34bobo3b2o5bobo9b2o98b3o48bo8bobo$35bo17bobo22bo147b3o$2b2obob2o26b2o16bo2bo21bobo7b2o135bo$2bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b2o$3bo3bo18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$4b3o3bo15b2o2b2o4b2o7bobo4bo21bo9b3o10bo4bobo$10b2o23b2o9b2o37b2o10bo7b2o$9bobo23bo10bo41b2o2b2o11b2o4b2o$88b2o2bo2b2o8b2o4b2o116b2o5b2o$93b4o5bobo124b2o5b2o$94bo7bo117bo$217b3o12b2o$213b2obo15b2o$7bo43bo161bo4bo$7bo43b2o161b3o$6bobo30bobo8bobo$5b2ob2o29bo3bo165b2o$4bo5bo18b2o12bo10b2o153b2o$7bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$4b2o3b2o32bo7bo7b2o3bo22b2o9bobo104b2o5b2o$39bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$39bobo9bo7b5o17bobo12b3o4bo2b4o$6bo45bo2bo18b2o3b2o3bo12b3o4b2o$6bo47b2o18b2o3b2o3bo13bobo$5bo73b2o3bo14b2o$81bobo$82bo$7b2o$7b2o200bo$208b2o$208b3o$210b2o$210b2o!

Inserting gliders spaced multiples of 60 generations apart, where the nth glider is at position f(n) into the top right of the filter causes gliders to be emitted from the bottom left at positions asymptotic to 1, f(1), f(f(1)), etc. This proves that for any growth rate achievable as a p60 stream of gliders, a non-trivially slower growth rate can be constructed. See Calcyman's post here for details.

gameoflifeboy

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### Re: Pattern of the Year 2015 (Entries)

I would like to nominate the Quadratic Sawtooth.

Have a happy new year!
Still drifting.
Bullet51

Posts: 528
Joined: July 21st, 2014, 4:35 am

### Re: Pattern of the Year 2015 (Entries)

Bullet51 wrote:I would like to nominate the Quadratic Sawtooth.

Ooh, the Quadratic Sawtooth! That thing is really impressive. Here's a link to Extrementhusiast's actual assembled 785x785 pattern. The collaboration included Scorbie, Alexey_Nigin, and Kiran, I believe, and was based on an initial idea by A for Awesome.

It's been a good year for collaboration, certainly -- as the current LifeWiki entry for Dart indicates (just for example). Happy New Year to you all, and here's to 2016!

dvgrn
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### Re: Pattern of the Year 2015 (Entries)

Given the absence of a Pattern of the Year for 2014, is it unreasonable to include patterns since the last such honors?
Biggiemac's waterbear misses the 2015 cutoff by a mere 3 days and 22 hours. Seems a shame.
triller
The most exciting phrase to hear in science, the one that heralds new
discoveries, is not "Eureka!" (I found it!) but "That's funny ..."
-- Isaac Asimov

triller

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### Re: Pattern of the Year 2015 (Entries)

triller wrote:Given the absence of a Pattern of the Year for 2014, is it unreasonable to include patterns since the last such honors?
Biggiemac's waterbear misses the 2015 cutoff by a mere 3 days and 22 hours. Seems a shame.
triller

I think the waterbear is the undisputed Pattern of the Year 2014, to be honest (although it's entirely plausible I've forgotten about other discoveries that year).
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

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### Re: Pattern of the Year 2015 (Entries)

EDIT:
Or this breeder: http://www.conwaylife.com/forums/viewtopic.php?p=17412#p17412?
Last edited by Kiran on January 1st, 2016, 3:34 pm, edited 1 time in total.
Kiran Linsuain

Kiran

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### Re: Pattern of the Year 2015 (Entries)

calcyman wrote:I think the waterbear is the undisputed Pattern of the Year 2014, to be honest...

That sounds right to me.

calcyman wrote:... (although it's entirely plausible I've forgotten about other discoveries that year).

Chris Cain's Centipede and the half-baked knightship variants, including the HBK gun, and the weekender distaff (hey, I like that new wiki tag!) and Switch engine ping-pong (23-cell quadratic growth) seem to me like very good runner-up candidates for Pattern of the Year 2014 -- but they're just plain outclassed by the waterbear.

EDIT: I'm not so sure about the collaborative effort to find syntheses for all 16- and 17-bit still lifes, though -- both of those projects were completed in 2014. They really seem right up there in waterbear territory. Maybe we could do a vote for 2014 Pattern of the Year, along with the 2015 one? Better late than never.

I remember the Snark got specifically mentioned for Pattern of the Year 2013, and the semi-Snark and loafer synthesis and guns and a few other things would be good runners-up. Probably no need to reach back that far. There was a page for 2012 Pattern of the Year, though I'm not sure the voting was ever really completed or tabulated. Doesn't much matter -- seems like making the list is more important than which one wins, anyway.

Speaking of that, here's another 2015 candidate I forgot: Chris Cain's glider-to-weekender-to-glider converter.

Not sure I'd want the waterbear in the running for 2015, come to think of it. Seems like there's plenty of new 2015 stuff for a good competition already.

dvgrn
Moderator

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### Re: Pattern of the Year 2015 (Entries)

We are getting lots of entries!

Daniel wrote:Simkin glider gun

Well, I need to repair my internal calendar. It seemed to me that this gun had been availible forever.

Eric wrote:I want to nominate the Demonoid, and Alexey's Sawmill, specifically the recursive filter, which is probably my favorite pattern of 2015.

Those were in my original post, so do not get confused if you don't see them in "Other people's entries".

triller wrote:Given the absence of a Pattern of the Year for 2014, is it unreasonable to include patterns since the last such honors?

Dave wrote:Seems like there's plenty of new 2015 stuff for a good competition already.

I agree with Dave.

Dave also wrote:Maybe we could do a vote for 2014 Pattern of the Year, along with the 2015 one? Better late than never.

I intended to do it a year ago, but do-not-remember-what distracted me from doing this. Whatever it was, it is no longer in effect, so I think I will make that competition. But I do not want to run two competitions simultaneously, for people can confuse them. After all, we have already been waiting for a year, and waiting for an additional week does not sound bad.

Adam wrote:I think the waterbear is the undisputed Pattern of the Year 2014, to be honest

I am not so sure: HBK was awesome in my opinion.

I wrote:...and should work under B3/S23.

I am sorry, but this entry does not conform to the rules.
There are 10 types of people in the world: those who understand binary and those who don't.

Alexey_Nigin

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### Re: Pattern of the Year 2015 (Entries)

While it may be of a lesser caliber than some of these other entries, I think I will nominate my p46-based dragon lightsaber, which might at least win the consolation prize of coolest name.
I Like My Heisenburps! (and others)

Extrementhusiast

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### Re: Pattern of the Year 2015 (Entries)

48 hours have passed without any entries!
Kiran Linsuain

Kiran

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### Re: Pattern of the Year 2015 (Entries)

Kiran wrote:48 hours have passed without any entries!

Indeed, and this marks the start of the second part of the competition. This part is arguably the most important one, for it is the time when we document the entries. Here is what I made so far:

• Demonoids are highly-simplified, diagonally-moving variants of the original Gemini spaceship. The 0hd Demonoid is the only case where a spaceship gun pattern was completed before the actual spaceship. By Chris Cain and Dave Greene.
• Syntheses of B29, X66, half-X66 with HWSS, Pushalong 1, 25P3H1V0.2, 30P5H2V0, 30P4H2V0.4, a pufferfish spaceship, and the weekender were discovered in 2015, which exceeds the number of spaceship syntheses found in any previous year, including 1970. By Extrementhusiast, Tanner Jacobi, and Chris Cain. Anybody else?
• Sawtooth 177 is currently the smallest known sawtooth. By Thunk, Tanner Jacobi, Chris Cain, Adam P. Goucher, and Dave Greene.
• HBK Gun is an extremely large and complex gun that fires parallel HBKs. It is the only gun to produce non-self-constructing macro-spaceships. By Chris Cain and Michael Simkin.
• Recursive Filter allows the creation of extremely slow-growing patterns. A single recursive filter gives the growth rate of log*(t), which is slower than the growth rate of any pattern constructed before. Recursive filters can be stacked to obtain even more mind-boggling growth rates. By Alexey Nigin and Kiran Linsuain.
• Sinkin Glider Gun is the smallest gun ever constructed. The previous record-holder, Gosper glider gun, was constructed as long ago as 1970! By Michael Simkin.
• Single-Lane Construction Arm Toolkit is an important result for simplifying self-constructing circuitry, especially those where a recipe needs to be duplicated, as in the linear propagator, not just interpreted as in the Demonoid and Gemini. By simeks.
• Syringe is the fast G-to-H that Herschel plumbers have been wishing for for a decade, also allowing for fast signal splitters and other much more efficient logic circuits, including self-constructing circuitry. By Tanner Jacobi.
• H-to-MWSS (link?) is the smallest converter of Herschels into (non-glider) standard spaceships. Prior constructions of XWSSs required many Herschel tracks and a large area. By Tanner Jacobi.
• [L|M]WSS-to-G converter is the second known small conduit that turns standard spaceships into gliders, and the first that accepts LWSSs. By Ivan Fomichev and Dongook Lee.
• Elementary Conduits Collection, recently significantly expanded with new discoveries, is a one-stop shop for the building blocks of stable tracks. It was organized to catalogue all converters between likely active reactions, not just from Herschel to Herschel. By Matthias Merzenich, Dave Greene, and Thunk.
• Collection of Guns is an ambitious project to collect new smaller glider guns using the syringe and other recent discoveries. All guns in the range 78-999 were eventually reduced to bounding boxes less than 8000 cells. By Chris Cain, simeks, scote, and Dave Greene.
• Bob Shemyakin's Syntheses are often cheaper than what could be found in Mark Niemiec's database (and those were already pretty good). This was the result of a lot of patient script-writing and collecting collision results, starting with adding two gliders (within a certain range) to every possible two-glider collision. Many new 4-, 5-, and 6-glider still life recipes were found, and optimizations for many larger still lifes up to 15 bits. By Bob Shemyakin.
• Quadratic Sawtooth is a sawtooth whose population peaks grow quadratically. By Martin Grant, Aidan F. Pierce, Dongook Lee, and Alexey Nigin.
• t*log(log(t)) Growth is pattern with an exotic growth rate. That growth rate has long been achievable via exponential filters, but this pattern utilises a completely different design. By Alexey Nigin and Michael Simkin.
• G-to-Weekender Converter splits a single input glider into 82 separate signals, and successfully synchronizes them to produce an output weekender spaceship. The previous record synchronization was Calcyman's glider-to-Cordership converter, which produced 19 synchronized gliders from one input signal. By Chris Cain.
• Dragon Lightsaber is a misterious pattern that seems to calculate some sequence. It is this type of a lightsaber. By Martin Grant.

If can contribute anything to those descriptions, please do it! Yes, even if you can contribute to already-existing description.

I will create a voting thread as soon as I am satisfied with the list above.

Kiran, do you want to provide your real name?
Last edited by Alexey_Nigin on January 7th, 2016, 4:27 pm, edited 5 times in total.
There are 10 types of people in the world: those who understand binary and those who don't.

Alexey_Nigin

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### Re: Pattern of the Year 2015 (Entries)

Here's what I've got for the descriptions:

• The 0hd and 10hd Demonoid are highly-simplified, diagonally-moving variants of the original Gemini spaceship. The first 0hd Demonoid was constructed by a macrospaceship gun. By Chris Cain and Dave Greene
• Until 2015, very few exotic spaceships could be constructed by gliders. Then, clever effort led to constructions of the B29, X66, Pushalong 1, 25P3H0V1.2, 30P5H2V0, and several other spaceships. By Martin Grant et al.

(Note that syntheses of the dart and crab were discovered late in 2014; this info mostly from the wiki.)
• The new single-lane construction arm toolkit is a way of powering a universal constructor using only single gliders spaced over 90 ticks apart. Previous universal constructors have required synchronized glider pairs 0, 9, or 10 ticks apart. by Simeks
• The H-to-MWSS is the smallest converter of Herschels into (non-glider) standard spaceships. Prior constructions of XWSSs required many Herschel tracks and a large area. by Tanner Jacobi
• Conversely, the LWSS and MWSS-G converter is the second known small conduit that turns standard spaceships into gliders, and the first that accepts LWSSs. by Ivan Fomichev and Dongook Lee
• The Elementary Conduits Collection, recently significantly expanded with new discoveries, is a one-stop shop for the building blocks of Herschel (and other) tracks. by Matthias Merzenich, Dave Greene, and Thunk

(Sorry, don't know enough about the next two red entries).
• The Glider-Weekender converter, based on the weekender synthesis mentioned above, is another way of using a glider or Herschel track to create a non-standard spaceship. By Chris Cain
"What's purple and commutes?
The Evanston Express."
thunk

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Location: Central USA

### Re: Pattern of the Year 2015 (Entries)

thunk wrote:Here's what I've got for the descriptions...

Thanks! I've been writing up a few more notes off and on today. There was some overlap, so I've removed a few of mine, but some had a different enough perspective that I included them anyway. @Alexey, sorry about the mess:

• Demonoids and gun for one of them: The 10hd and 0hd Demonoids are the first self-constructing diagonal spaceships. The 0hd Demonoid, completed by chris_c on 6 December 2016 in collaboration with dvgrn, is the only case where a spaceship gun pattern was completed before the actual spaceship.
• Syntheses of cool spaceships: glider constructions for the B29, X66, half-X66 with HWSS, Pushalong 1, 25P3H1V0.2, 30P5H2V0, 30P4H2V0.4, a pufferfish spaceship, and the weekender were discovered in 2015, along with syntheses for the Gemini and 0hd Demonoid macro-spaceships. Extrementhusiast, Kazyan, and chris_c were the biggest contributors to this collaborative effort. More new spaceship syntheses were discovered in 2015 than in any previous year, including 1970.
• Kazyan's syringe -- the fast G-to-H that Herschel plumbers have been wishing for for a decade, also allowing for fast signal splitters and other much more efficient logic circuits, including self-constructing circuitry.
• simeks' new single-lane construction arm toolkit -- an important result for simplifying self-constructing circuitry, especially those where a recipe needs to be duplicated, as in the linear propagator, not just interpreted as in the Demonoid and Gemini. Anyone could have run this search any time in the last twenty or thirty years, but nobody thought to do it until simeks posted a single-construction-lane universal toolkit on 19 December 2015.
• Elementary Conduits Collection: Interest in stable circuitry moved beyond standard Herschel tracks in 2015, and a stamp collection was organized to catalogue all converters between likely active reactions, not just from Herschel to Herschel. thunk's version is currently the latest and greatest.
• New Collection of Guns: chris_c's ambitious project to collect new smaller glider guns using the syringe and other recent discoveries. All guns in the range 78-999 were eventually reduced to bounding boxes less than 8000 cells. Seems like an impressive feat of engineering. Contributors included chris_c, simeks, scote, and dvgrn.
• Bob Shemyakin's syntheses: often Bob found cheaper ways to build things than could be found in Mark Niemiec's database (and those were already pretty good). This was the result of a lot of patient script-writing and collecting collision results, starting with adding two gliders (within a certain range) to every possible two-glider collision. Many new 4-, 5-, and 6-glider still life recipes were found, and optimizations for many larger still lifes up to 15 bits.
• Glider-to-Weekender: A record-setting synchronization exercise by chris_c on 26 September 2015, this pattern splits a single input glider into 82 separate signals, and successfully synchronizes them to produce an output weekender spaceship. I believe the previous record synchronization was Calcyman's glider-to-Cordership converter, which produced 19 synchronized gliders from one input signal.

dvgrn
Moderator

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### Re: Pattern of the Year 2015 (Entries)

Alexey's Sawmill

Someone (gmc_nxtman) made a LifeWiki page for the pattern and named it "log****(t) growth", I did not want the pattern to be stuck with such a boring name and renamed it "Sawmill". However, as the discoverer of the pattern, Alexey_Nigin has the right to name it.
EDIT:
Same for Tlog(log(t)) growth.
Kiran Linsuain

Kiran

Posts: 284
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### Re: Pattern of the Year 2015 (Entries)

Also, I came up with an improved system of voting:
Once the patterns are listed, every voter gives a score to each pattern. The only restriction on the scores is that they all must be real and the average absolute deviation of the scores given by an individual voter is smaller or equal to some arbitrary fixed constant k. After the vote, the scores for each pattern are added up and compared.

For example, if n=17 (the number of entries) and the arbitrary constant is set to k=1/n=1/17 and the deviation from the median is used, a voter can vote {1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} or {-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} or {-1/2,1/4,0,0,0,0,0,0,0,0,0,0,0,-1/4,0,0,0} or...

This system provides higher flexibility then the standard "up-vote one pattern" system.

One question remains, which average absolute deviation to use?
Kiran Linsuain

Kiran

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### Re: Pattern of the Year 2015 (Entries)

Kiran wrote:One question remains, which average absolute deviation to use?

I'm pretty sure the final results do not depend on the exact value of k.

Are we allowed to use casus irreducibilis solutions to cubic equations?
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

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### Re: Pattern of the Year 2015 (Entries)

Thank you Dave and Thunk for your awesome replies. Everything looks almost complete now. I guess it will not be long before I create a voting thread (if my Internet connection doesn't turn off again).

Kiran wrote:Also, I came up with an improved system of voting...

How you kill a cockroach:

Firstly, buy a bottle of poison and put a bit of it into a syringe. Then take a cockroach and invite it to chat with you. The cockroach should feel relaxed and comfortable, or the method will not work. Tell your cockroach a good joke so it laughs out loud. Quickly take your syringe and inject a drop of poison into cockroach's mouth. You can repeat this procedure until there are no cockroaches in your house.
There are 10 types of people in the world: those who understand binary and those who don't.

Alexey_Nigin

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Location: Ann Arbor, MI

### Re: Pattern of the Year 2015 (Entries)

The usual methodology in these cases, used in the AP poll sports rankings involves each voter ordering the entries. Then, the voter's top choice is given n points, the next n-1, and so on until their nth choice is given 1 point (for some value of n). The points given by each voter are then added together to determine the final result.

It's not ideal, but more straightforward than Kiran's system.
"What's purple and commutes?
The Evanston Express."
thunk

Posts: 165
Joined: October 3rd, 2015, 8:50 pm
Location: Central USA

### Re: Pattern of the Year 2015 (Entries)

Alexey_Nigin wrote:Firstly, buy a bottle of poison and put a bit of it into a syringe. Then take a cockroach and invite it to chat with you. The cockroach should feel relaxed and comfortable, or the method will not work. Tell your cockroach a good joke so it laughs out loud. Quickly take your syringe and inject a drop of poison into cockroach's mouth. You can repeat this procedure until there are no cockroaches in your house.

Did you try this method yet?
Also, did you come up with good names for the patterns mentioned in my previous post?
A for awesome wrote:
Kiran wrote:One question remains, which average absolute deviation to use?

I'm pretty sure the final results do not depend on the exact value of k.

Are we allowed to use casus irreducibilis solutions to cubic equations?

As long as it is the same positive real number for all voters, it makes no difference.
What I meant was whether to use the average absolute deviation around the mean, mode, or median.
Kiran Linsuain

Kiran

Posts: 284
Joined: March 4th, 2015, 6:48 pm

### Re: Pattern of the Year 2015 (Entries)

I'll just leave this link here.

Pick your system based on what criteria you want it to satisfy.
I Like My Heisenburps! (and others)

Extrementhusiast

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