Gems?
- 83bismuth38
- Posts: 556
- Joined: March 2nd, 2017, 4:23 pm
- Location: perpendicular to your eyes
- Contact:
Gems?
Re: Gems?
Here are 4 patterns, each with a piece above it. If I understand you right, the left two are gems because a single still life can be connected to itself 4 times making a bigger still life. In the 3rd, the base still lives aren't connected by live cells, just overcrowded dead cells, so they aren't properly "connected." In the 4th, the base still life needs to overlap with other copies of itself to produce the pattern. That means the 3rd and 4th are not gems. Is this consistent with how you are defining it?
Code: Select all
x = 90, y = 27, rule = B3/S23
34bo$6bo26bobo45bo$5bobo24bobobo23b2o18bobo$5bobo24bo3bo23bobo16bobo$
4b2ob2o22b2o3b2o25bo15bo2b3o$64bo13b2o4bo$63b2o4$34bo$6bo26bobo46bo$5b
obo24bobobo20b2ob2o19bobo$5bobo24bo3bo19bobobobo17bobo$4b2ob2o22b2o3b
2o17bo7bo16bo2b3o$3bo5bo20bo7bo15bo9bo14b2o4b3o$b3o5b3o16b3o7b3o13b2o
7b2o14bo8bo$o11bo14bo13bo35bobo7bobo$b3o5b3o14bobo11bobo11b2o7b2o11bob
o7bobo$3bo5bo17bo13bo12bo9bo12bo8bo$4b2ob2o19b3o7b3o14bo7bo14b3o4b2o$
5bobo22bo7bo17bobobobo17b3o2bo$5bobo23b2o3b2o19b2ob2o21bobo$6bo25bo3bo
45bobo$32bobobo46bo$33bobo$34bo!
Re: Gems?
Code: Select all
x = 9, y = 9, rule = B3/S23
4bo$3bobo$2bobobo$bo2bo2bo$ob2ob2obo$bo2bo2bo$2bobobo$3bobo$4bo!
- 83bismuth38
- Posts: 556
- Joined: March 2nd, 2017, 4:23 pm
- Location: perpendicular to your eyes
- Contact:
Re: Gems?
actually, that's quite interesting... ok it's a semi-gem now; that's what those are called.muzik wrote:Not quite loaf gem:Code: Select all
x = 9, y = 9, rule = B3/S23 4bo$3bobo$2bobobo$bo2bo2bo$ob2ob2obo$bo2bo2bo$2bobobo$3bobo$4bo!
and biggiemac, you are correct. however, (as stated above) the 4th one is a semigem.
Code: Select all
x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!
- 83bismuth38
- Posts: 556
- Joined: March 2nd, 2017, 4:23 pm
- Location: perpendicular to your eyes
- Contact:
Re: Gems?
bee gem:
Code: Select all
#CXRLE Pos=-6,-8
x = 8, y = 8, rule = B3/S23
3b2o$2bo2bo$bob2obo$obo2bobo$obo2bobo$bob2obo$2bo2bo$3b2o!
Code: Select all
#CXRLE Pos=-4,-6 Gen=108
x = 10, y = 10, rule = B3/S23
5b2o$4bo2bo$3bo2bobo$2bob2obobo$bobo2bo2bo$o2bo2bobo$obob2obo$bobo2bo$
2bo2bo$3b2o!
Code: Select all
#CXRLE Pos=-9,-10 Gen=48
x = 10, y = 10, rule = B3/S23
4b2o$3bo2bo$3bo2bo$b2ob2ob2o$o2bo2bo2bo$o2bo2bo2bo$b2ob2ob2o$3bo2bo$3b
o2bo$4b2o!
table gem:
Code: Select all
#CXRLE Pos=-6,-5 Gen=3
x = 7, y = 7, rule = B3/S23
2obo2bo$bob4o$bo$2o3b2o$5bo$4obo$o2bob2o!
house gem:
Code: Select all
#CXRLE Pos=-9,-7 Gen=3
x = 11, y = 11, rule = B3/S23
b2o$bobob2o2b2o$3bobo4bo$3bo2b4o$bobo$b2o5b2o$7bobo$b4o2bo$o4bobo$2o2b
2obobo$8b2o!
Code: Select all
x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!
- 83bismuth38
- Posts: 556
- Joined: March 2nd, 2017, 4:23 pm
- Location: perpendicular to your eyes
- Contact:
Re: Gems?
Code: Select all
#CXRLE Pos=-6,-8
x = 5, y = 5, rule = B3/S23
2ob2o$2ob2o2$2ob2o$2ob2o!
Code: Select all
x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!
- Mr. Missed Her
- Posts: 90
- Joined: December 7th, 2016, 12:27 pm
- Location: Somewhere within [time in years since this was entered] light-years of you.
Re: Gems?
Forgot edit button.83bismuth38 wrote:forgot block gem:Code: Select all
#CXRLE Pos=-6,-8 x = 5, y = 5, rule = B3/S23 2ob2o$2ob2o2$2ob2o$2ob2o!
And, for that matter, the Moon, Jupiter, Titan, and 67P/Churyumov–Gerasimenko.
Re: Gems?
One way to view this is to create a huge tree of terminology to describe each combination, assigning consistent labels in accordance with some definite rules. However, this is a potentially unwieldy rulespace. (Is this a gem or a semi-gem? Still lives or induction coils? Is its symmetry D8 or C4 or D4? and so on..). There are many edge cases and if multiple people decide to weigh in with naming suggestions, then there can be competing standards and a lot of problems.
The other way to view this: unless "gems" play a bigger part in some useful demonstration, it is unlikely that many users will care about the minutae of their classification. Gems are just still lives with symmetry, and many people here don't give still lives a second glance, because arbitrarily large ones with whatever symmetry desired can be generated very quickly. Not all will be gems, because of the requirement that 1/4 of the still life can also be taken on its own, but that distinction matters to almost nobody. In this case, you won't run into competing standards, because only you will really be talking about them.
Not trying to discourage you, just to give an idea of how the community historically reacts to these sort of posts. If gems are just there to look pretty (as the name seems to imply), then the second option is probably all you will get.
- 83bismuth38
- Posts: 556
- Joined: March 2nd, 2017, 4:23 pm
- Location: perpendicular to your eyes
- Contact:
Re: Gems?
gem: 4-way prefect symmetry, made of only the base still life, no extra, no less.
semi-gem: 2-way symmetry, and/or extra or less cells.
crystal: same as gem, but with induction coils.
semi-crystal: same as semi-gem, but with induction coils.
reactor: same as gem, but with oscillators.
semi-reactor:same as semi-gem, but with oscillators.
also, i found a TON more, and for the sake of simplicity, i'm just gonna say the base pattern:
bookends:
Code: Select all
#CXRLE Pos=-9,-12 Gen=15
x = 13, y = 13, rule = B3/S23
3b2o3b2o$3bobobobo$5bobo$2o2b2ob2o2b2o$o2bo5bo2bo$b3o5b3o2$b3o5b3o$o2b
o5bo2bo$2o2b2ob2o2b2o$5bobo$3bobobobo$3b2o3b2o!
Code: Select all
#CXRLE Pos=-8,-3 Gen=37
x = 7, y = 7, rule = B3/S23
bo3bo$obobobo$b2ob2o2$b2ob2o$obobobo$bo3bo!
Code: Select all
#CXRLE Pos=-8,-3 Gen=37
x = 7, y = 7, rule = B3/S23
2o3b2o$obobobo$b2ob2o2$b2ob2o$obobobo$2o3b2o!
Code: Select all
#CXRLE Pos=-1,-10 Gen=4
x = 9, y = 9, rule = B3/S23
2o6bo$bo4b3o$bobobo$2b2ob2o2$2b2ob2o$3bobobo$3o4bo$o6b2o!
Code: Select all
#CXRLE Pos=-8,-11 Gen=1841
x = 15, y = 15, rule = B3/S23
4bo5bo$3bobo3bobo$3bobo3bobo$b3ob2ob2ob3o$o13bo$b3ob2ob2ob3o$3bob2ob2o
bo2$3bob2ob2obo$b3ob2ob2ob3o$o13bo$b3ob2ob2ob3o$3bobo3bobo$3bobo3bobo$
4bo5bo!
Code: Select all
#CXRLE Pos=-11,-11 Gen=61
x = 21, y = 21, rule = B3/S23
b2o15b2o$o2bo2b2o5b2o2bo2bo$obo4bo2bo2bo4bobo$bo5bobobobo5bo$4b2obo2bo
2bob2o$4bo2bo5bo2bo$bo4bo7bo4bo$b5o9b5o2$3bo13bo$2bobo11bobo$3bo13bo2$
b5o9b5o$bo4bo7bo4bo$4bo2bo5bo2bo$4b2obo2bo2bob2o$bo5bobobobo5bo$obo4bo
2bo2bo4bobo$o2bo2b2o5b2o2bo2bo$b2o15b2o!
Code: Select all
#CXRLE Pos=-10,-10 Gen=603
x = 19, y = 19, rule = B3/S23
5b2o5b2o$6bo2bo2bo$6bobobobo$3b2obo2bo2bob2o$3bo2bo5bo2bo$o4bo7bo4bo$
5o9b5o2$2bo13bo$bobo11bobo$2bo13bo2$5o9b5o$o4bo7bo4bo$3bo2bo5bo2bo$3b
2obo2bo2bob2o$6bobobobo$6bo2bo2bo$5b2o5b2o!
Code: Select all
#CXRLE Pos=-9,-5 Gen=9
x = 14, y = 14, rule = B3/S23
2bobo$2b2obo$2o3bo$bo3bob2o$o5bobo$b3o5b2o$4bo5bo$3bo5bo$3b2o5b3o$5bob
o5bo$5b2obo3bo$8bo3b2o$8bob2o$9bobo!
Code: Select all
#CXRLE Pos=-10,-5 Gen=32
x = 11, y = 11, rule = B3/S23
2o7b2o$obo7bo$3bo5bo$4bobobo$3b2ob2o2$3b2ob2o$2bobobo$bo5bo$o7bobo$2o
7b2o!
Code: Select all
#CXRLE Pos=-8,-7 Gen=48
x = 9, y = 9, rule = B3/S23
5b2o$b2obo2bo$obob4o$obo$b2o3b2o$6bobo$b4obobo$bo2bob2o$2b2o!
Code: Select all
#CXRLE Pos=-5,-13 Gen=188
x = 11, y = 11, rule = B3/S23
2o7b2o$o7bobo$bobo$4bobobo$3b2ob2o2$3b2ob2o$2bobobo$7bobo$obo7bo$2o7b
2o!
Code: Select all
#CXRLE Pos=-6,-14 Gen=206
x = 13, y = 13, rule = B3/S23
2o9b2o$obo9bo$9bobo$2bobo$5bobobo$4b2ob2o2$4b2ob2o$3bobobo$8bobo$bobo$
o9bobo$2o9b2o!
Code: Select all
#CXRLE Pos=-8,-14 Gen=521
x = 16, y = 15, rule = B3/S23
13b2o$3b2o7bobo$3bobo$10bobo$5bobobo$6b2ob2o2$6b2ob2o$7bobobo$4bobo$
11bobo$2bobo$13bobo$obo11b2o$2o!
Code: Select all
#CXRLE Pos=-7,-9 Gen=5
x = 11, y = 11, rule = B3/S23
2o7b2o$o7bobo$b3o4bo$4bobobo$3b2ob2o2$3b2ob2o$2bobobo$2bo4b3o$obo7bo$
2o7b2o!
Code: Select all
x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!
Re: Gems?
Code: Select all
x = 32, y = 13, rule = B3/S23
10b2o$9bo2bo9b2o$9bobo9bo2bo$7b2obo10bobobo$6bo2bo12bobobo$6bobo14bo2b
o$4b2obo16b2ob2o$3bo2bo19bo2bo$3bobo20bobobo$b2obo22bobobo$o2bo24bo2bo
$obo26b2o$bo!
Also, it seems that many if not all higher order lakes can be turned into their gems:
Code: Select all
x = 36, y = 22, rule = B3/S23
24b2o$23bo2bo$23bo2bo$21b2o4b2o$20bo8bo$20bo8bo$4b2o12b2ob2o4b2ob2o$3b
o2bo10bo2bo2bo2bo2bo2bo$3bo2bo10bo2bo2bo2bo2bo2bo$b2o4b2o6b2o4b2ob2ob
2o4b2o$o8bo4bo8bo2bo8bo$o8bo4bo8bo2bo8bo$b2o4b2o6b2o4b2ob2ob2o4b2o$3bo
2bo10bo2bo2bo2bo2bo2bo$3bo2bo10bo2bo2bo2bo2bo2bo$4b2o12b2ob2o4b2ob2o$
20bo8bo$20bo8bo$21b2o4b2o$23bo2bo$23bo2bo$24b2o!
- 83bismuth38
- Posts: 556
- Joined: March 2nd, 2017, 4:23 pm
- Location: perpendicular to your eyes
- Contact:
Re: Gems?
Code: Select all
x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!
- 83bismuth38
- Posts: 556
- Joined: March 2nd, 2017, 4:23 pm
- Location: perpendicular to your eyes
- Contact:
Re: Gems?
lolz i didn't know it existed until this.Mr. Missed Her wrote:Forgot edit button.83bismuth38 wrote:forgot block gem:Code: Select all
#CXRLE Pos=-6,-8 x = 5, y = 5, rule = B3/S23 2ob2o$2ob2o2$2ob2o$2ob2o!
Code: Select all
x = 28, y = 13, rule = B3/S23
19bo$3bo15bo4b2o$2bobo14bo4bobo$2bobo20b2o$3bo11b3o2$25b3o$b2o22b3o$o
2bo$b2o12b2o$10b2o2bobo$bo8b2o2b2o$obo7b2o!