For discussion of specific patterns or specific families of patterns, both newlydiscovered and wellknown.

chris_c
 Posts: 953
 Joined: June 28th, 2014, 7:15 am
Post
by chris_c » September 2nd, 2016, 6:46 am
Sokwe wrote:mniemiec wrote:On 20150118, Matthias Merzenich posted this 12glider synthesis
It was actually
posted by Ivan Fomichev on October 18, 2015.
Making the junk from the other side allows the block and hive to be created together, saving one glider:
Code: Select all
x = 64, y = 61, rule = B3/S23
61bobo$61b2o$62bo$bo$2bo$3o44bo$45b2o$46b2o$21bo$22b2o$21b2o5$39bo$38b
o$38b3o$34bo$32b2o$33b2o2$19bo$17bobo$18b2o2$26bo$26bobo$26b2o$38bo$
37b2o$37bobo5$16b2o$15bobo$17bo20$47b2o$47bobo$47bo!

mniemiec
 Posts: 1113
 Joined: June 1st, 2013, 12:00 am
Post
by mniemiec » September 2nd, 2016, 8:18 am
Sokwe wrote:mniemiec wrote:On 20150118, Matthias Merzenich posted this 12glider synthesis
It was actually
posted by Ivan Fomichev on October 18, 2015.
Wow! Two errors in one attribution (wrong person, and dyslexic date!). Thanks for bringing this to my attention.
chris_c wrote:Making the junk from the other side allows the block and hive to be created together, saving one glider: ...
Nice. I have several 3glider syntheses of the block+beehive, but all would have interfered with the junk as originally formed. (One thing my archives are sorely lacking is a library of syntheses of simple pieces of irregular unstable junk. Perhaps that's a project someone might want to undertake?)

AbhpzTa
 Posts: 494
 Joined: April 13th, 2016, 9:40 am
 Location: Ishikawa Prefecture, Japan
Post
by AbhpzTa » September 2nd, 2016, 10:32 pm
wildmyron wrote:Goldtiger997 wrote:Also, here are 2 incomplete syntheses of 2 very large asymmetric stilllifes that I found on catalogue with only 1 or 2 occurrences.
Code: Select all
x = 73, y = 48, rule = B3/S23
2bo$obo$b2o16$66bobo$66b2o$67bo$70b2o$70bobo$70bo12$50bo$50bobo$50b2o$
53b2o$53bobo$53bo$39bobo$39b2o$40bo$42b2o$37bo4bobo$37b2o3bo$36bobo!
I didn't complete them as I couldn't find any decent efficient cleanups for them. But maybe someone else can...
replacing the Pi with a suitable B + G is a lot cleaner
Code: Select all
x = 31, y = 17, rule = B3/S23
21bo$22b2o$21b2o$27b3o$27bo$28bo2$obo$b2o25b3o$bo26bo$16b2o11bo$16b2o
3$6bo$5bobo$6bo!
9G:
Code: Select all
x = 49, y = 67, rule = B3/S23
bo$2bo$3o13$25bobo$26b2o$26bo$44bo$43bo$43b3o3$36bo$36bobo$36b2o3$18bo
bo$19b2o$19bo10$44b2o$43b2o$45bo5$40bo$39b2o$39bobo8$39b3o$39bo$40bo5$
46b3o$46bo$47bo!
Iteration of sigma(n)+tau(n)n [sigma(n)+tau(n)n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

muzik
 Posts: 3785
 Joined: January 28th, 2016, 2:47 pm
 Location: Scotland
Post
by muzik » September 4th, 2016, 4:11 pm
150 trillion objects!

A for awesome
 Posts: 2043
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 Location: 0x1

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Post
by A for awesome » September 4th, 2016, 7:39 pm
New
42cell SL:
Code: Select all
x = 16, y = 16, rule = B3/S23
bbbbbboobobbbobb$
bobbobobooobbobb$
bbbobbboboboobbo$
oooboooobbbboooo$
bbooobboobbbbboo$
oboooooboobbbboo$
obobbbboobobobob$
boobobooooooobob$
oobbboooboobobob$
obobobbbooobbobo$
oooobbbbboboobob$
boobbobboboobobo$
bobobboboobbbbbb$
ooooobbbooobbooo$
obbboooboooooobb$
bbbobbobbobbobbo!
I'm calling it the "inflected omnibus", analogous to the
inflected 30greatsym. It forms very early (gen 13), but there still may be a synthesis in there.
New p5, fumarole with one tub:
Code: Select all
x = 16, y = 16, rule = B3/S23
oobobobboobboboo$
ooobobooobbbbboo$
bbbbobobooobobob$
obbobobbobbobobo$
oobooboboooboobo$
boooboobbbobbobo$
oobbobboooobbbbo$
bbooooboobbobbbb$
oobbboooobobbobo$
bbbobobbbboboooo$
bobobobobobobooo$
bobobbobbbbooboo$
boooboobobobboob$
obbobbboobobobbb$
ooooobobbbbbbboo$
obobbbbbbbbbbbbo!
The core reaction is tub + (R + block, or P + boat) + preTL + 9cell piece of junk, so I bet there's a synthesis, although it may not improve anything.
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

BlinkerSpawn
 Posts: 1964
 Joined: November 8th, 2014, 8:48 pm
 Location: Getting a snacker from RBee's
Post
by BlinkerSpawn » September 4th, 2016, 8:22 pm
A for awesome wrote:New
42cell SL:
I'm calling it the "inflected omnibus", analogous to the
inflected 30greatsym. It forms very early (gen 13), but there still may be a synthesis in there.
Well, yeah, but it's pretty tight:
Code: Select all
x = 14, y = 5, rule = B3/S23
b3o4bo$bobo2b2obo$o2bo2bo2b2o$bobo2b2obo2b2o$b3o4bo3b2o!
He also wrote:New p5, fumarole with one tub:
The core reaction is tub + (R + block, or P + boat) + preTL + 9cell piece of junk, so I bet there's a synthesis, although it may not improve anything.
The thing is, even if it doesn't, the tub acts as a rock, meaning that this isn't just a synthesis, it's a component.
And a more immediate predecessor can be modified, producing a related one that's far more promising:
Code: Select all
x = 11, y = 7, rule = B3/S23
3bo2bo$3bo2bo$3bo2bo$4b2o$bo$obo3b4o$bo5b2obo!
(Edited to be even better)

Apple Bottom
 Posts: 1033
 Joined: July 27th, 2015, 2:06 pm

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Post
by Apple Bottom » September 7th, 2016, 12:30 pm
This
4barreled glider gun showed up in D4_x4 earlier:
Code: Select all
x = 42, y = 42, rule = Life
20b2o$20b2o2$36bo$35bobo$35bo2bo$18b2o16b2o$19bo$19bo$18bo9$6bo2bo$6b
3o$2o38b2o$2o38b2o$33b3o$32bo2bo9$23bo$22bo$22bo$4b2o16b2o$3bo2bo$4bob
o$5bo2$20b2o$20b2o!
Interestingly the loaves eat glider pairs travelling orthogonally to the streams fired; one pair of gliders hitting the loaf adds a pair of ships (
EDIT: d'oh, of course they're actually boats; thanks dvgrn!), the next pair of gliders (156 generations later) destroys these again. As a result the gun is period 312 overall even though it fires two pairs of gliders every 156 generations.
Removing the loaves results in an 8barrelled period156 gun:
Code: Select all
x = 42, y = 42, rule = Life
20b2o$20b2o5$18b2o$19bo$19bo$18bo9$6bo2bo$6b3o$2o38b2o$2o38b2o$33b3o$
32bo2bo9$23bo$22bo$22bo$22b2o5$20b2o$20b2o!
Sample soup:
Code: Select all
x = 32, y = 32, rule = B3/S23
ooobbobbbobooooooooobooooooooooo$
oobooobobboobobooboooobbbbobbooo$
obboooboboobbbbooobooobooboboboo$
booboobobbbbbbbbbbobbbbobboobobo$
booobobbbobbbooooobobbooooobobbo$
ooooobooboooobbobobboobobobooooo$
bbbbbobbbboobboooobbbbbboboobbbo$
boooboboooboobobboooobbooobobobo$
bbbbbbbobobbooooobboobbboboooobo$
oboboobooboobbbobboobbbbbbbobbbo$
boobboobbooobooooboboobbbbobbooo$
oobbbooobooboobbooobboboobobboob$
obbbboboobboboooobobbbooobbobooo$
oobbobbbobooobobobboooobobbboboo$
obbboboooboboobbbbbbobbboooobobo$
ooobooobooobobbbbboooobobobobooo$
oooboboboboooobbbbbobooobooobooo$
oboboooobbbobbbbbboobobooobobbbo$
oobobbboboooobbobobooobobbbobboo$
ooobobbooobbboboooobobboobobbbbo$
boobboboobobbooobbooboobooobbboo$
ooobbobbbbooboboooobooobboobboob$
obbbobbbbbbboobbobbboobooboobobo$
oboooobobbboobbooooobbobobbbbbbb$
obobobooobboooobboboobooobobooob$
obbboobobbbbbboooobboobbbbobbbbb$
oooooboboboobbobobbooooboobooooo$
obbobooooobbobooooobbbobbbobooob$
oboboobbobbbbobbbbbbbbbbobooboob$
ooboboboobooobooobbbboobobooobbo$
ooobbobbbboooobooboboobboboooboo$
ooooooooooobooooooooobobbbobbooo!
Haul:
here.
Last edited by
Apple Bottom on September 7th, 2016, 4:20 pm, edited 1 time in total.
If you speak, your speech must be better than your silence would have been. — Arabian proverb
Catagolue: Apple Bottom • Life Wiki: Apple Bottom • Twitter: @_AppleBottom_
Proud member of the Pattern Raiders!

dvgrn
 Moderator
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 Location: Madison, WI

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Post
by dvgrn » September 7th, 2016, 12:51 pm
Apple Bottom wrote:Interestingly the loaves eat glider pairs travelling orthogonally to the streams fired; one pair of gliders hitting the loaf adds a pair of ships, the next pair of gliders (156 generations later) destroys these again. As a result the gun is period 312 overall even though it fires two pairs of gliders every 156 generations.
Huh, weird. I don't think that loaves (or ponds) acting as rocks for pairs of gliders, has come up before in this context. (Minor typo, by the way  those are boats not ships.)
We had
a p312 version of this gun before, and of course we could create lots of other p312 shotguns by adding various standard boatbit catchers. But I never thought of a loaf or a pond as a workable doubleboatbit catcher.

mniemiec
 Posts: 1113
 Joined: June 1st, 2013, 12:00 am
Post
by mniemiec » September 7th, 2016, 3:01 pm
dvgrn wrote:Huh, weird. I don't think that loaves (or ponds) acting as rocks for pairs of gliders, has come up before in this context. ... But I never thought of a loaf or a pond as a workable doubleboatbit catcher.
I have both of these (and also a beehiveflipper) in the period312 oscillator section of my oscillator synthesis page, and I think I first saw them in some oscillator collection (probably jslife or Dean Hickerson's).

Apple Bottom
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 Joined: July 27th, 2015, 2:06 pm

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by Apple Bottom » September 7th, 2016, 7:18 pm
dvgrn wrote:Huh, weird. I don't think that loaves (or ponds) acting as rocks for pairs of gliders, has come up before in this context. (Minor typo, by the way  those are boats not ships.)
D'oh. You're right, of course.
mniemiec wrote:dvgrn wrote:Huh, weird. I don't think that loaves (or ponds) acting as rocks for pairs of gliders, has come up before in this context. ... But I never thought of a loaf or a pond as a workable doubleboatbit catcher.
I have both of these (and also a beehiveflipper) in the period312 oscillator section of my oscillator synthesis page, and I think I first saw them in some oscillator collection (probably jslife or Dean Hickerson's).
OK, good to know. I'd actually
searched for them both on your site, using the above RLE snippets, but found nothing  I'm not smart enough for that search tool.
If you speak, your speech must be better than your silence would have been. — Arabian proverb
Catagolue: Apple Bottom • Life Wiki: Apple Bottom • Twitter: @_AppleBottom_
Proud member of the Pattern Raiders!

mniemiec
 Posts: 1113
 Joined: June 1st, 2013, 12:00 am
Post
by mniemiec » September 7th, 2016, 11:45 pm
Apple Bottom wrote:OK, good to know. I'd actually
searched for them both on your site, using the above RLE snippets, but found nothing  I'm not smart enough for that search tool.
The search page is good when you know a pattern's exact parameters. The version currently up shows every phase of every oscillator, except for the extremely large period ones (I think 300 and 312). The next version includes them all. It doesn't show every phase for growing patterns (basically, only one cycle), and only a few common early generations of the methuselahs. You can also search using other criteria (e.g. advanced search, category = oscillator, period = 312). I currently have very few guns listed. You can also skip the search, and go to the main life page, and browse around that way. I find that's often easier for finding patterns in context.

A for awesome
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 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

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by A for awesome » September 9th, 2016, 9:57 pm
Natural
lightweight emulator:
Code: Select all
x = 16, y = 32, rule = B3/S23
bobobboooobobbob$
oobbbobobooboooo$
bbbbbbbbbboooboo$
ooobbobboboobbbo$
oobooboobobbboob$
booobbobobobooob$
bbobbboboboobboo$
obooobobobboooob$
bobbbobobooobbbb$
bboobbobbooboooo$
bobboboobobbobbo$
boobbboobboobbbb$
obbbooooooboboob$
bobbobbbobbobooo$
boobobobooboobbb$
bboboooobbbooobo$
bboboooobbbooobo$
boobobobooboobbb$
bobbobbbobbobooo$
obbbooooooboboob$
boobbboobboobbbb$
bobboboobobbobbo$
bboobbobbooboooo$
bobbbobobooobbbb$
obooobobobboooob$
bbobbboboboobboo$
booobbobobobooob$
oobooboobobbboob$
ooobbobboboobbbo$
bbbbbbbbbboooboo$
oobbbobobooboooo$
bobobboooobobbob!
I doubt there's a synthesis there, though.
A new queen bee shuttle stabilization:
Code: Select all
x = 16, y = 32, rule = B3/S23
bobobobbbboobbbo$
bobbooobbooobbbb$
obboobbbbbbobbbo$
ooboooooooobbobo$
obobooboobbboooo$
bboobobbboooboob$
ooboooooobobobbb$
obooobobbbbbobbo$
obobobbbbbbobobb$
oobooobbobbooooo$
oboobbbobbooobbo$
bobboobboobboobo$
obooobooboobbbbo$
oobobooobbboboob$
obooobobbbbbbbbb$
bobobbbobboboobb$
bobobbbobboboobb$
obooobobbbbbbbbb$
oobobooobbboboob$
obooobooboobbbbo$
bobboobboobboobo$
oboobbbobbooobbo$
oobooobbobbooooo$
obobobbbbbbobobb$
obooobobbbbbobbo$
ooboooooobobobbb$
bboobobbboooboob$
obobooboobbboooo$
ooboooooooobbobo$
obboobbbbbbobbbo$
bobbooobbooobbbb$
bobobobbbboobbbo!
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

gmc_nxtman
 Posts: 1149
 Joined: May 26th, 2015, 7:20 pm
Post
by gmc_nxtman » September 9th, 2016, 11:01 pm
A for awesome wrote:Natural
lightweight emulator:
Code: Select all
x = 16, y = 32, rule = B3/S23
bobobboooobobbob$
oobbbobobooboooo$
bbbbbbbbbboooboo$
ooobbobboboobbbo$
oobooboobobbboob$
booobbobobobooob$
bbobbboboboobboo$
obooobobobboooob$
bobbbobobooobbbb$
bboobbobbooboooo$
bobboboobobbobbo$
boobbboobboobbbb$
obbbooooooboboob$
bobbobbbobbobooo$
boobobobooboobbb$
bboboooobbbooobo$
bboboooobbbooobo$
boobobobooboobbb$
bobbobbbobbobooo$
obbbooooooboboob$
boobbboobboobbbb$
bobboboobobbobbo$
bboobbobbooboooo$
bobbbobobooobbbb$
obooobobobboooob$
bbobbboboboobboo$
booobbobobobooob$
oobooboobobbboob$
ooobbobboboobbbo$
bbbbbbbbbboooboo$
oobbbobobooboooo$
bobobboooobobbob!
I doubt there's a synthesis there, though.
I don't know, this looks fairly promising:
Code: Select all
x = 8, y = 16, rule = LifeHistory
2.A$.A$A.A$3A$3.3A$3.A.A.A$4.A$4.A$4.A$4.A$3.A.A.A$3.3A$3A$A.A$.A$2.A
!

A for awesome
 Posts: 2043
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

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by A for awesome » September 10th, 2016, 10:42 pm
Two new monoboatfumaroles:
Code: Select all
x = 32, y = 16, rule = B3/S23
obbbobboobbobbbbbbbooobobbooobob$
bbbobbooobbboooobbobbboobbboobbb$
booooobbbbbbbbboooobobobbbbbbobb$
bbbobobbbbobooobbboboobbboobbbbb$
obbobbobbbobbbooobbobbbobooobbbo$
oooboooboooobooooobobbbbboobbbob$
oobooobbobbbbbbbooboobbbbooooobo$
booobooobboobobboobbbboobboobooo$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb!
Code: Select all
x = 16, y = 16, rule = B3/S23
bobobooobboboboo$
bbbbobbooobbbboo$
ooooobbbobobbbbo$
oobobobobbbooobb$
ooboboobbboobboo$
obooobbooobbbbob$
booobboobbboboob$
ooooobooobbobbbb$
oboobbbbobbboobo$
obbobbbbbbboboob$
booooooooobooobb$
ooooobbobbbobbob$
oooboobboobobbob$
oobooobbbobboobb$
bboobobbobobobob$
obbbbooobobbbbbo!
The second one looks like there's probably a 9G, maybe 8G synth in there; the predecessor's just a modified R + loaf predecessor.
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

Apple Bottom
 Posts: 1033
 Joined: July 27th, 2015, 2:06 pm

Contact:
Post
by Apple Bottom » September 11th, 2016, 7:14 am
Pentoad 2 in C2_2:
Code: Select all
x = 31, y = 32, rule = B3/S23
oobobboobbobobbobbbbbbbbbbbbbbb$
obobobbbbbbbbooobbbbbbbbbbbbbbb$
obobbboobbboooobbbbbbbbbbbbbbbb$
oobbbobbbbooobbbbbbbbbbbbbbbbbb$
bbbobbbbobbobbbbbbbbbbbbbbbbbbb$
ooobbbobboboobbobbbbbbbbbbbbbbb$
ooobbooooooobobbbbbbbbbbbbbbbbb$
bobbobbbbooboboobbbbbbbbbbbbbbb$
oooooboooboobbobbbbbbbbbbbbbbbb$
obboobobooboobbbbbbbbbbbbbbbbbb$
booboobobbbbobbobbbbbbbbbbbbbbb$
bobbobbbobooooobbbbbbbbbbbbbbbb$
bobbooooooobbbbbbbbbbbbbbbbbbbb$
obobbooboobobbbbbbbbbbbbbbbbbbb$
booooboboobobbobbbbbbbbbbbbbbbb$
oboobooobbbbbbbobbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbobbbbbbboooboobo$
bbbbbbbbbbbbbbbbobbobooboboooob$
bbbbbbbbbbbbbbbbbbbobooboobbobo$
bbbbbbbbbbbbbbbbbbbbooooooobbob$
bbbbbbbbbbbbbbbbooooobobbbobbob$
bbbbbbbbbbbbbbbobbobbbbobooboob$
bbbbbbbbbbbbbbbbbboobooboboobbo$
bbbbbbbbbbbbbbbbobboobooobooooo$
bbbbbbbbbbbbbbbooboboobbbbobbob$
bbbbbbbbbbbbbbbbbobooooooobbooo$
bbbbbbbbbbbbbbbobboobobbobbbooo$
bbbbbbbbbbbbbbbbbbbobbobbbbobbb$
bbbbbbbbbbbbbbbbbbooobbbbobbboo$
bbbbbbbbbbbbbbbboooobbboobbbobo$
bbbbbbbbbbbbbbbooobbbbbbbbobobo$
bbbbbbbbbbbbbbbobbobobboobboboo!
Haul.
If you speak, your speech must be better than your silence would have been. — Arabian proverb
Catagolue: Apple Bottom • Life Wiki: Apple Bottom • Twitter: @_AppleBottom_
Proud member of the Pattern Raiders!

Goldtiger997
 Posts: 600
 Joined: June 21st, 2016, 8:00 am
Post
by Goldtiger997 » September 11th, 2016, 8:33 am
Does anyone have a synthesis for this component? I have run into it several times with natural syntheses but have not been able to synthesise it.
Code: Select all
x = 4, y = 4, rule = B3/S23
2bo$b3o$o2bo$3o!
It stablises after 152 generations into a pond and a block

chris_c
 Posts: 953
 Joined: June 28th, 2014, 7:15 am
Post
by chris_c » September 11th, 2016, 10:30 am
Goldtiger997 wrote:Does anyone have a synthesis for this component? I have run into it several times with natural syntheses but have not been able to synthesise it.
Here you go:
Code: Select all
x = 610, y = 12, rule = Life
108bo102bo294bo$6bo92bo6b2o102bo94bo107bobo89bo100bo$5bo94b2o5b2o101b
3o90b2o108b2o90b3o97bo$5b3o91b2o203b2o93bobo12bo190b3o$bo109bo288b2o
199bo$2bo107bo289bo7bo193bo$3o107b3o86bo8bo199bobo189b3o$7bo192b2o4b2o
93bo106b2o89bo107bo$7bobo189b2o6b2o93bo197b2o105bobo$7b2o291b3o3bo192b
2o7bobo96b2o$305bo202b2o$305b3o201bo!
They were found using the method described
here.

A for awesome
 Posts: 2043
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 Location: 0x1

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Post
by A for awesome » September 11th, 2016, 12:16 pm
A weird C4_1symmetric SL:
Code: Select all
x = 16, y = 16, rule = B3/S23
ooobbbbooobboobo$
ooobobbobbbbbbbb$
obbobbobobobobob$
bboooboboooooboo$
bobooobbbbbbbbbo$
ooobboooobbooooo$
oobobbbbbobboboo$
bobbbobbbbobbbob$
bbooooobbbobbooo$
bbbboooboboobooo$
boboobbbbbbobbbb$
bbbobobbbbooobbb$
boobooobbobbboob$
bbobbobbbboobboo$
bobbbbbboooooobb$
oooobbooooobbobo!
It does not achieve symmetry until it is completely formed, interestingly enough. The R + HF + 2 blocks + blinker + hive stage looks synthesizable.
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

AbhpzTa
 Posts: 494
 Joined: April 13th, 2016, 9:40 am
 Location: Ishikawa Prefecture, Japan
Post
by AbhpzTa » September 11th, 2016, 2:02 pm
A for awesome wrote:A weird C4_1symmetric SL:
Code: Select all
x = 16, y = 16, rule = B3/S23
ooobbbbooobboobo$
ooobobbobbbbbbbb$
obbobbobobobobob$
bboooboboooooboo$
bobooobbbbbbbbbo$
ooobboooobbooooo$
oobobbbbbobboboo$
bobbbobbbbobbbob$
bbooooobbbobbooo$
bbbboooboboobooo$
boboobbbbbbobbbb$
bbbobobbbbooobbb$
boobooobbobbboob$
bbobbobbbboobboo$
bobbbbbboooooobb$
oooobbooooobbobo!
It does not achieve symmetry until it is completely formed, interestingly enough. The R + HF + 2 blocks + blinker + hive stage looks synthesizable.
11G:
Code: Select all
x = 98, y = 77, rule = B3/S23
82bo$80b2o$56bo24b2o$55bo$55b3o13$31bobo$32b2o$32bo19$22b2o$21bobo$23b
o$45b2o5b2o$45bobo4bobo$45bo6bo9$6b3o$8bo$7bo3$25b2o$26b2o$25bo2$71b2o
$71bobo$71bo10$b2o$obo92b3o$2bo92bo$96bo!
Iteration of sigma(n)+tau(n)n [sigma(n)+tau(n)n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

mniemiec
 Posts: 1113
 Joined: June 1st, 2013, 12:00 am
Post
by mniemiec » September 11th, 2016, 2:16 pm
A for awesome wrote:A weird C4_1symmetric SL: ... It does not achieve symmetry until it is completely formed, interestingly enough. The R + HF + 2 blocks + blinker + hive stage looks synthesizable.
I made this from 13 gliders, at the same time AbhpzTa was working on his better one:
Code: Select all
x = 168, y = 44, rule = B3/S23
120bobo$121boo$121bo7bo$127boo$128boo$$137bobo$137boo$56bo81bo$56bobo$
56boo$54bo$52bobo29boo28boo$53boo28bobbo26bobbo44boo$84boo24boobboo44b
obboboo$109bobo48boobobobo$34boo28boo28boo15bo12boo37bo3bo$34boo28boo
28boo28boo34b3ob3o$159bo3bo$139boo18boboboboo$6bo31boo28boo28boo28boo
8boo20boobobbo$4bobo3bo27boo12bo15boo28boo28boo10bo23boo$5booboo43bo$
3o6boo40b3o32bo29bo$bbo82bobo27bobo$bo52b3o28bobo27bobo$56bo29bo29bo$
55bo14$149bo$148boo$148bobo!
AbhpzTa wrote:11G: ...
I find your synthesis reductions quite amazing! I'm very curious what methods you use.

A for awesome
 Posts: 2043
 Joined: September 13th, 2014, 5:36 pm
 Location: 0x1

Contact:
Post
by A for awesome » September 13th, 2016, 10:47 pm
Gen 18 suggests a synthesis of 38p7.2:
Code: Select all
x = 16, y = 31, rule = B3/S23
oooobbooobbobobo$
booboooobbboooob$
boobbbbooooobooo$
oooboboooobbooob$
boobooobboooobbo$
oobbbobooboobbbo$
obooboobobbobobo$
bbbboboobboooooo$
ooboobobbobboobo$
bbobboooobbobbbo$
ooooboooboobbbob$
ooobboobobbboboo$
obbbbobboboobboo$
obboooboboobbbbb$
bboobooobboooobo$
oboobbboooobbbbb$
bboobooobboooobo$
obboooboboobbbbb$
obbbbobboboobboo$
ooobboobobbboboo$
ooooboooboobbbob$
bbobboooobbobbbo$
ooboobobbobboobo$
bbbboboobboooooo$
obooboobobbobobo$
oobbbobooboobbbo$
boobooobboooobbo$
oooboboooobbooob$
boobbbbooooobooo$
booboooobbboooob$
oooobbooobbobobo!
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

Goldtiger997
 Posts: 600
 Joined: June 21st, 2016, 8:00 am
Post
by Goldtiger997 » September 14th, 2016, 11:42 pm
I found improvements all the period 2 oscillators listed on mniemiec’s webpage that have syntheses greater or equal to one glider per bit, have less than 15 bits, and appear on catalogue with asymmetry.
Code: Select all
x = 277, y = 220, rule = B3/S23
16bo$17bo$15b3o$106bo$107bo$105b3o3$58bo28bo$57bo30bo$33bo23b3o26b3o$
34bo$32b3o146bo$37bo141bobo$36bo143b2o4bo$36b3o145bobo$185b2o3$39bo$
39bobo113b2o$2bo36b2o85bo28bo48bo6bo$2bo122bo30bobo44bo7bobo$o2bo77bo
36bobo4b3o75b3o5b2o$79b2o2bo34b2o38bobo$2o2b2o41bo35bobo33bo8b2o56b2o$
30b3o15bo32bo3bo42bobo29bobo22bobo14b2o$2bo2bo24bo15b3o3bo32bo31b3o8bo
34bo23bo13bobo$3bo27bo19b2o28b3o35bo42b2o39bo$3bo22b3o22bobo64bo$28bo
14b2o$27bo14b2o64bo$44bo64bo102b2o$107b3ob2o99bobo$111bobo98bo4b2o$
111bo105bobo$217bo3$112b3o13b2o$114bo13bobo$113bo14bo13$58b2o$58bobo$
58bo11$51bo16bo$50bo16bo$50b3o14b3o7$72bo$71bo$71b3o2$40bo$41b2o2bo$
40b2o2bo$44b3o3$3bo$bobo53bo$5bo42bo7bo$5o41bobo7b3o$5bo34bo6b2o$bobo
37bo14bo$3bo35b3o14b2o$55bobo$37b2o$36bobo$38bo4$45bo$45b2o$44bobo2$
274bobo$274b2o$275bo2$98bo$97bo$97b3o7$58bo$57b2o$57bobo7$23bo37bo$24b
o36bobo$22b3o36b2o3$32bo$30bobo$31b2o3$61bo$61bobo$61b2o177bobo$240b2o
$241bo$55bo$54bo$54b3o6$6bo$2b2o2bo73bo84b2o$2bobo2bo72bobo39bo6bo36bo
52bo$78bo4bo36bobo4b2o34bobo36bo16bobo$3bo2bobo70b4obo36b2o5b2o70bobo
2b2o12b2o$4bo2b2o69bo4bo47b3o28b2obobo33b2ob2o10b2o$4bo75bobo48bo34b2o
38bo9bobo$80bo51bo28b3o52bo$56b2o$57b2o163bo$56bo3b2o48b2o101bo8bobo$
51bo8bobo46bobo6b2o91b2o9b2o$51b2o7bo50bo7b2o5b3o83b2o5b2o$50bobo65bo
7bo79bo12bobo$127bo79b2o10bo$123b3o80b2o$64b2o59bo87bobo$63b2o59bo88b
2o$65bo148bo3$28b2o$27bobo$29bo7$152bo$151b2o$151bobo22$94b3o$94bo$95b
o$145bo$145b2o$144bobo9$250b2o$250bobo$250bo!
I’m not sure which ones are new records.

Extrementhusiast
 Posts: 1832
 Joined: June 16th, 2009, 11:24 pm
 Location: USA
Post
by Extrementhusiast » September 15th, 2016, 12:33 am
Goldtiger997 wrote:I found improvements all the period 2 oscillators listed on mniemiec’s webpage that have syntheses greater or equal to one glider per bit, have less than 15 bits, and appear on catalogue with asymmetry.
I’m not sure which ones are new records.
Reduced the first by one:
Code: Select all
x = 61, y = 57, rule = B3/S23
16bo$17bo$15b3o6$58bo$15bo41bo$16b2o15bo23b3o$15b2o17bo$32b3o$37bo$36b
o$36b3o4$39bo$39bobo$2bo36b2o$2bo$o2bo2$2o2b2o41bo$48bo$2bo2bo40b3o3bo
$3bo47b2o$3bo47bobo$43b2o$42b2o$44bo22$58b2o$58bobo$58bo!
Turned the fifth into a component (!):
Code: Select all
x = 11, y = 19, rule = B3/S23
obo$b2o$bo$7bo$7bobo$7b2o5$8b2o$8bo$obo6bo$b2o7bo$bo7b2o2$2b3o$4bo$3bo!
This now allows for that oscillator to be tied to many things.
I Like My Heisenburps! (and others)

Goldtiger997
 Posts: 600
 Joined: June 21st, 2016, 8:00 am
Post
by Goldtiger997 » September 15th, 2016, 5:18 am
Does any one have a synthesis for this?
Code: Select all
x = 10, y = 6, rule = B3/S23
3b3o$3bo2bo$2bo2b2o$2b2o!
(I couldn't find it myself because I have had trouble compiling gencols)

muzik
 Posts: 3785
 Joined: January 28th, 2016, 2:47 pm
 Location: Scotland
Post
by muzik » September 15th, 2016, 8:45 am
Should be simple:
Code: Select all
x = 8, y = 8, rule = LifeHistory
5.A$5.3A$5.A.A$.2D4.A$D.D$D$2D.D$2.2D!