testitemqlstudop wrote:2->2->3->6 * 4
How many digits does that number have? Just so I can wrap my head around it a bit.
testitemqlstudop wrote:2->2->3->6 * 4
danny wrote:How many digits does that number have?
on the order of 2^^^^^^^(2^^^^^^(2^^^^^(2^^^^(2^^^(2^^(2^n))))))
testitemqlstudop wrote:Whoops, guess I used chained-arrow notation wrong.
Anyways, it takeson the order of 2^^^^^^^(2^^^^^^(2^^^^^(2^^^^(2^^^(2^^(2^n))))))
to get the glider to the spacefiller, which is only 1/4 of the total evolution time. Then, the tear in the agar propogates through the spacefiller, and after 4x as much time, it destroys the three corners. Now it would probably take much more time to have the triangle completely stabilize, and if it spawns a natural replicator,
13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096
danny wrote:I would use the term 'engineered methuselah' to refer to things like that. Kind of like engineered vs natural spaceships. Once loafer or one of the c/4s becomes natural we can call it natural...
77topaz wrote:By removing all but one of the delay structures, I managed to, after something like 10^20 generations, see a glider hitting the spacefiller. The spreading chaos showed an interesting periodic rake-like structure propagating along the edge between vacuum and the agar, periodically sending out gliders. However, trying to copy a selection large enough to show this (it was about 10000x10000, which is large but microscopic compared to the whole pattern at that point) caused Golly to freeze entirely.
77topaz wrote:The rake-like crawler (I'm not entirely sure what the right terminology would be) I saw moving along the side of the agar did indeed to be periodic, as it released gliders at regular intervals.
The pattern as a whole would also eventually become periodic (with the stipulation that each "eventually" will take an extremely long time): a glider eventually passes through the delay systems and hits the spacefiller's agar, causing the agar to break down. The disturbances propagate at light speed, and so eventually catch up to the corners of the spacefiller, causing its expansion to cease; the area covered by the spacefiller will then eventually settle down to regular CGoL ash.
x = 181, y = 670, rule = B3/S23
bo$2bo$3o588$147b2ob2o$146bobobobo$146bobobobo$144b2obo2bob2o$143bobo
4bo$142bo3bobobob2o$142b3obobobo2bo$145bo2bo2b2o$142b2o$141bo2b3o3b3o$
141bobo9bobo$142bobob2ob2obob2o$144bob2ob2obo$144bobo3bobo$145bo5bo2$
143b11o$143bo2bobobo2bo2$140b2o6bo6b2o$140bobo3b5o3bobo$138bobob3o7b3o
bobo$137bobobobo9bobobobo$137bobobobob2o3b2obobobobo$138bo3bob2obobob
2obo3bo$146b2ob2o$126b2o8bo10bobo10bo8b2o$125b2o3bo4b2o7b4ob4o7b2o4bo
3b2o$124b2o2b2o4bo3b3o3bo7bo3b3o3bo4b2o2b2o$125bo4b5obo4bo3b3ob3o3bo4b
ob5o4bo$129bo4bobo23bobo4bo$126b2o3b2ob2obo7b3ob3o7bob2ob2o3b2o$129b2o
4bo25bo4b2o$119b5o3b2o5bo6b2o2b2o3b2o2b2o6bo5b2o3b5o$119bo4b2obo2bo10b
2o2b3ob3o2b2o10bo2bob2o4bo$119bo6bo18bobobobo18bo6bo$120bo5b2obo17bobo
17bob2o5bo$122b2o2bo3b2o11b4obob4o11b2o3bo2b2o$125bo17b2o3bo3b2o17bo$
123b3o20b2ob2o20b3o$122bo8bo5bo5b3obobob3o5bo5bo8bo$122bo4bobo2b2o4b2o
7bobo7b2o4b2o2bobo4bo$122bo3b2o2bob2ob2ob2ob5obobob5ob2ob2ob2obo2b2o3b
o$123bo21bobobobo21bo$124b21o3bo3b21o2$126b21o3b21o$125bo21bobo21bo$
124bo3b20ob20o3bo$121bobo2bo2bo37bo2bo2bobo$120bo2bobo4b37o4bobo2bo$
119b2o10bo33bo10b2o$118bo13b33o13bo$117b4o12bo29bo12b4o$116bo4bo12b29o
12bo4bo$116bo2bo15bo25bo15bo2bo$116bo2bo16b25o16bo2bo$117bo19bo21bo19b
o$118b4obo14b21o14bob4o$119bo3bo15bo17bo15bo3bo$120bo19b17o19bo$120bob
o18bo13bo18bobo$142b13o$119b3o21bo9bo21b3o$119b2o23b9o23b2o$119b3o26bo
26b3o$145b3ob3o$120bobo23bo3bo23bobo$120bo24bobobobo24bo$119bo3bo21bob
obobo21bo3bo$118b4obo20bo7bo20bob4o$117bo26bo7bo26bo$116bo2bo24bo2bobo
2bo24bo2bo$116bo2bo24b3o3b3o24bo2bo$116bo4bo53bo4bo$117b4o55b4o$118bo
59bo$119b2o55b2o$120bo2bo49bo2bo$121bobo49bobo!
77topaz wrote:The rake-like crawler (I'm not entirely sure what the right terminology would be) I saw moving along the side of the agar did indeed to be periodic, as it released gliders at regular intervals.
The pattern as a whole would also eventually become periodic (with the stipulation that each "eventually" will take an extremely long time): a glider eventually passes through the delay systems and hits the spacefiller's agar, causing the agar to break down. The disturbances propagate at light speed, and so eventually catch up to the corners of the spacefiller, causing its expansion to cease; the area covered by the spacefiller will then eventually settle down to regular CGoL ash.
testitemqlstudop wrote:77topaz wrote:The rake-like crawler (I'm not entirely sure what the right terminology would be) I saw moving along the side of the agar did indeed to be periodic, as it released gliders at regular intervals.
The pattern as a whole would also eventually become periodic (with the stipulation that each "eventually" will take an extremely long time): a glider eventually passes through the delay systems and hits the spacefiller's agar, causing the agar to break down. The disturbances propagate at light speed, and so eventually catch up to the corners of the spacefiller, causing its expansion to cease; the area covered by the spacefiller will then eventually settle down to regular CGoL ash.
I'm not sure, but it actually propgates at 2c/3 vertically and c horizontally.
I think it's the other way around. Those are the speeds people searched for ships because they observed that those were the speeds at which the agar collapsed.Moosey wrote:Huh. Weird nonuniform speeds. But this makes sense, because with the grain negative spaceships go at c and against the grain negative spaceships travel at 2c/3
Macbi wrote:I think it's the other way around. Those are the speeds people searched for ships because they observed that those were the speeds at which the agar collapsed.Moosey wrote:Huh. Weird nonuniform speeds. But this makes sense, because with the grain negative spaceships go at c and against the grain negative spaceships travel at 2c/3
x = 21, y = 14, rule = B3/S23
13b2o$13bo2bo$14bobo$14b3o$b2o$2o$bo$2bo2$20bo2$16b5o$17b3o$18bo!
x = 6, y = 6, rule = B3/S23
bo$2obo$4b2o$o2bo$o$o!
NickGotts wrote:Here's a 10-cell methuselah lasting 17,425 steps - thus beating bunnies10 by just 2 steps:Code: Select allx = 6, y = 6, rule = B3/S23
bo$2obo$4b2o$o2bo$o$o!
Step 30 of the pattern is almost the same as step 28 of bunnies10, but lacks a glider which the latter has just thrown off. It thus ends with a population of 1,744, including 40 gliders, as opposed to bunnies10's 1749 and 41 gliders. Since it's hardly a radical improvement, I suggest calling it bunnies10a. Its MCPS is 12, its bounding box 8*5.
A bit of background is available in the "Systematic survey of small patterns" thread.
x = 8, y = 5, rule = B3/S23
2bo$ob2obo$6bo$o4b2o$7bo!
NickGotts wrote:Apologies, and thanks for pointing out the error - which was not a miscount, but a miscopy, posting bunnies10 rather than the true bunnies10a, which is:Code: Select allx = 8, y = 5, rule = B3/S23
2bo$ob2obo$6bo$o4b2o$7bo!
A for Awesome wrote (on the Systematic survey of small patterns thread:
Trivial variant with a smaller bounding box:
Code: Select all / Show in Viewer
x = 7, y = 5, rule = B3/S23
bo$3obo$5bo$o3b2o$6bo!
x = 20, y = 18, rule = B3/S23
bo$obo$obo$bo2$3o$b2obo$3o3$18bo$17bobo$17bobo$18bo2$18bo$18bo$18bo!
Nathaniel wrote:Some specific examples of discoveries that won't be of interest to this community include:
A new still life.
A methuselah that lasts fewer than 20,000 generations or is larger than a 20-by-20 box.
An alternate stabilization for a reaction (unless it is smaller than the smallest currently known).
x = 20, y = 18, rule = B3/S23
bo$obo$obo$bo2$3o$b2obo$3o4$18b2o$18bo$18bo2$18bo$18bo$18bo!
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