Miscellaneous Discoveries in Other Cellular Automata

[toroidalet]

A HighLife relative with corderoid technology:

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dirty puffer

That doesn't seem too much like a "relative", due to B3e and B3q, transitions which can greatly change the dynamics, being absent.
p40 dirty rake:

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x = 21, y = 5, rule = B34y7e/S234y
17b3o$17bo2bo$b3o3b3o6bo$bo2bobo2bo$o9bo!

Actually, the rule is explosive:

Code: Select all

x = 31, y = 5, rule = B34y7e/S234y
b3o23b3o$o2bo23bo2bo$4bo6b3o3b3o6bo$11bo2bobo2bo$10bo9bo!

[Rhombic]

Reflectorless rotating oscillator:
https://catagolue.appspot.com/census/b2 ... ky/C1/xp72

Code: Select all

x = 8, y = 4, rule = B2e3-a4a/S1c23-aky
2o$ob4obo$2ob5o$5bo!

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x = 12, y = 14, rule = B2e3-a4a/S1c23-aky
2bo$5ob2o$ob4obo$6b2o7$4b2o$4bob4obo$4b2ob5o$9bo!

[Saka]

3-still-life oscillator

Code: Select all

x = 5, y = 12, rule = B3-n4rtw5i/S23-n
2bo$bobo$bo2bo$2b2o2$2b2o$bo2bo$bo2bo$2b2o2$2o$2o!

[Gamedziner]

4c/29 spaceship:

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x = 3, y = 4, rule = 23-ce4c67/2cei3acei4-a567/4
.A$ABA$A.A$.A!

[Saka]

Weird c/6 with frontsparks

Code: Select all

x = 3, y = 2, rule = B2e3-jn4airw/S2-ik34i
3o$obo!

[muzik]

Am I correct in saying this is the smallest one cell thick infinite growth pattern?

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x = 5, y = 1, rule = B3/S012345678
3obo!

Generation 3700 may cause screaning:

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x = 24, y = 24, rule = B3/S012345678
b2o18bo$23bo$o22bo19$o22bo$o$2bo18b2o!

[Gamedziner]

Am I correct in saying this is the smallest one cell thick infinite growth pattern?

No, this is:

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x = 1, y = 1, rule = B123/S0358
o!

[wwei23]

Strange replicator thing on the edges:

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x = 3, y = 3, rule = B123/S03578
3o$obo$3o!

How many times can you divide a number by two until you get an odd number:

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x = 3, y = 3, rule = B12378/S035678
3o$obo$3o!

[muzik]

Am I correct in saying this is the smallest one cell thick infinite growth pattern?

No, this is:

Code: Select all

x = 1, y = 1, rule = B123/S0358
o!

...which is quite obviously in a different rule.

[BlinkerSpawn]

Am I correct in saying this is the smallest one cell thick infinite growth pattern?

No, this is:

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x = 1, y = 1, rule = B123/S0358
o!

...which is quite obviously in a different rule.

Your pattern is not the smallest one-cell-thick infinite growth pattern, but it is the smallest in that particular rule.

[Saka]

Graceful butterfly c/17 thing

Code: Select all

x = 4, y = 5, rule = B2e3-j5i/S2-k3-a4a
b3o$bobo$3bo$ob2o$o!

Prepulsar and 4 blocks c/19

Code: Select all

x = 8, y = 8, rule = B2e3-j5i8/S2-k3-a4ar
5b2o$b3ob2o$bobo$b3o2b2o$6b2o$2o$2ob2o$3b2o!

[bprentice]

Code: Select all

x = 16, y = 24, rule = 2aik3a4iy5in6a8/2ai3a4acwy6ain/9
HGFEDCBA$HGDEDCBA$3.2F$DEF2G4.2A$.DFEHGF2.ABA$2.E.H2G2.CB2A$5.2HGF2D
2BA$6.EGDEDC2A$5.E2F.D$3.AB2CE$3.ABCDC$6.C$4.HGFEDCBA$2.H.HGFEBCBA$
.GH4.AB2D$8.D2E.C$8.HDFCDCBA$8.2GFE2C2A$5.DHG2F2.BA$4.CEDGFE2.2A$3.
CDE2F$6.2E$2.HGFCDCBA$2.HGFEDCBA!

Code: Select all

x = 77, y = 24, rule = 2aik3a4iy5in6a8/2ai3a4acwy6ain/9
29.HGFEDCBA24.HGFEDCBA$27.H.HGFEBCBA22.H.HGFEBCBA$34.2D30.2D$25.H5.
BCD2E21.H5.BCD2E$26.H5.BDCFED20.H5.BDCFED$33.CGF2E2.2A23.CGF2E2.2A$
34.2H2FED2BA23.2H2FED2BA$33.H.HGCEBCBA22.H.HGCEBCBA$34.H.C2D.B25.H.
C2D.B$ABCDEFGH16.ABCDEF2G.BCB.2CH5.BCDEFGH4.ABCDEF2G4.2AC$ABCDEFGH16.
ABCDEFGHGFBDC.B.H5.BDEFGH4.ABCDEFGHG3.ABA$6.2A4.GF17.2G2ED6.ED.C17.
G5.A$6.AB2.F.2HG15.BFE2D6.H2F2DCBA16.HGFEDCBA$4.AB2CEFGF.G14.2ACBED
C4.G.FGFEAC2A16.FGFEDC3A$4.ABADC2FH16.ABC2D5.G2H.F.A2B17.EF2H4.2B$5.
2A.B2E20.2C6.FG4.2A18.H3.G.B2C.A$5.HGFCDCBA12.HGFEDABA12.HGFEDCBA13.
H.GHGFBDABA$5.HGFEDCBA12.HGFEDCBA12.HGFEDCBA16.2G2EDC2A$62.H5.BFE2D
$61.G.H3.ACBEDC$60.GH4.ABC2D$69.2C$62.GHGFEDABA$63.HGFEDCBA!

Brian Prentice

[_zM]

what the

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x = 3, y = 3, rule = B3-e/S236n
3o$obo$obo!

[bprentice]

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x = 55, y = 32, rule = b1e3k4yw5yj6i/s12ki3ckaijr4eywz5cyj6a/9
.53A$2A51.2A$A23.F.F.B.B.A.A.A.A15.A$A23.3F.3B.A.A.A.A.A.A11.A$A19.
H.H.D.D.A.A.3H.3D.A.A11.A$A19.3H.3D.A.A.H.H.D.D.A.A11.A$A19.F.F.B.B
.A.A5.3F.3B11.A$A19.3F.3B9.F.F.B.B.A.A7.A$A15.H.H.D.D.A.A9.3H.3D.A.
A7.A$A15.3H.3D.A.A9.H.H.D.D.A.A7.A$A15.F.F.B.B.A.A13.3F.3B7.A$A15.3F
.3B17.F.F.B.B.A.A3.A$A11.H.H.D.D.A.A17.3H.3D.A.A3.A$A11.3H.3D.A.A17.
H.H.D.D.A.A3.A$A11.F.F.B.B.A.A21.3F.3B3.A$A11.3F.3B25.F.F.B.B3.A$A7.
H.H.D.D.A.A25.3H.3D3.A$A7.3H.3D.A.A25.H.H.D.D3.A$A7.F.F.B.B.A.A29.3F
3.A$A7.3F.3B33.F.F3.A$A3.H.H.D.D.A.A33.3H3.A$A3.3H.3D.A.A33.H.H3.A$
A3.F.F.B.B.A.A39.A$A3.3F.3B43.A$A3.D.D.A.A43.A$A3.3D.A.A43.A$A3.B.B
.A.A43.A$A3.3B47.A$A3.A.A47.A$A3.A.A47.A$2A51.2A$.53A!

Code: Select all

x = 35, y = 18, rule = b1e3k4yw5yj6i/s12ki3ckaijr4eywz5cyj6a/9
.31A$2A22.H2.ED$A3.A2.A.A15.H.F.D.B$A3.A2.A.A14.2H2F2D2B.A$A3.A2.3D
17.HGFEDCBA$A3.A.AD.D15.E.E.A.A.A$A3.A.B3F15.3E.3A$A3.A.CF.F9.A5.3E
.3A$A3.A.D3H9.A5.E.E.A.A.A$A3.A.EH.H9.A7.HGFEDCBA$A3.A.F9.A2.A4.2H2F
2D2B.A$A3.A.G2.A6.A2.A.A2.EH.FAD.B$A3.A.H2.A6.A2.A.A.2EGF2ACB$A3.A4.
A6.A2.A.A2.CFC2.A$A8.A6.A.A2.A.2CE2CA$A8.A6.A.A2.A3.D2.A$2A$.31A!

Brian Prentice

[muzik]

Is this cube root of x growth?

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x = 4, y = 4, rule = B378/S012345678
2o$3o$b3o$2b2o!

[Apple Bottom]

Is this cube root of x growth?

Looks like linear growth to me.

[praosylen]

Is this cube root of x growth?

Code: Select all

x = 4, y = 4, rule = B378/S012345678
2o$3o$b3o$2b2o!

The fastest-growing term seems to be linear, which makes sense given that the "shoots" on the sides are linear given a "substrate" and that they hit the corners of the square at increasingly long intervals of time (so that corner effects tend towards zero).

[muzik]

I thought it was going to be that because this is the more quadratic-looking equivalent to some of the sqrt(t) growths I've seen, since it takes longer and longer to be a spacefiller similarly to how it takes longer and longer for some sqrt(t) patterns to be a wickstretcher.

[BlinkerSpawn]

I thought it was going to be that because this is the more quadratic-looking equivalent to some of the sqrt(t) growths I've seen, since it takes longer and longer to be a spacefiller similarly to how it takes longer and longer for some sqrt(t) patterns to be a wickstretcher.

If you think about it, this pattern is O(sqrt(t)) * O(sqrt(t)) so the population would be O(sqrt(t^2)).

[Saka]

2 related oscillators whose rules only differ by 1 state

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x = 5, y = 7, rule = B3-jn4ajnw/S2-c34r
3b2o$3b2o3$obo$b2o$bo!

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x = 6, y = 4, rule = B3-jn4ajnw/S2-c3-a4r
o4bo$o$o2b2o$4b2o!

[wildmyron]

Were p1 photons previously known in any rule with B1e? Here's one with 5 cells:

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x = 2, y = 3, rule = B1e5i/S2a
2o$o$2o!

[Saka]

messed around with ruleSearch.py and found these cute ships:
c/22

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x = 4, y = 5, rule = B2in3-cjnq4aciktw5cinqr6ck7/S01e2a3qr4etwy5eijq6ci7e
bobo2$4o2$bobo!

c/6

Code: Select all

x = 6, y = 3, rule = B2ce4nq5er/S01c2ack3-cijr4cejknw5acikn6ai7c
bo$o2bobo$bo!

4c/26

Code: Select all

x = 5, y = 2, rule = B2cin3aeiky4-aeiy5-iqr6an8/S02n3acikn4aert5-cjnq6acn7c8
4bo$obo!

2c/32

Code: Select all

x = 3, y = 5, rule = B2-ak3aenr4aeijntz5aciry6ikn7c/S1e4ae5an
3o2$bo2$bo!

c/8d

Code: Select all

x = 3, y = 3, rule = B2cek3ceijq4airtwyz5cq6-ck78/S02cen3ikr4in5jky7c
3o2$o!

2c/25

Code: Select all

x = 4, y = 3, rule = B2ce3ey4an5ejy6n/S01c2cek3-enq4aqr5eijkr6i7c
o$3bo$o!

c/8

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x = 6, y = 1, rule = B2ce3y4c5ceiry6e7c8/S12c3r4eijknw5aky6e8
obob2o!

3c/30d

Code: Select all

x = 3, y = 3, rule = B2ck3aeir4nyz5acknr6-an7c8/S012i3jkq4iyz5ackny6a7e
o$2o$obo!

3c/8

Code: Select all

x = 6, y = 1, rule = B2ce3cry4aejn5nr6ci7e/S01c2aek3n4-aijny5kr6en8
2obobo!

2c/11

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x = 8, y = 1, rule = B2cik3-ik4ckqrt5ek6-k7c8/S01c2e3-acky4aekw5ckr6ikn7c
ob2obobo!

[drc]

Where's this script? I can't find it oops

[Saka]

Where's this script? I can't find it oops

scripts subforum, "Finding rules for a spaceship"

Counterfeit moons, 1 and 2 are very similar

Code: Select all

x = 4, y = 2, rule = B2cen3aijn4cikqyz5cikn6aei7e8/S1c2an3-ey4acjknt5ajq6cik7c8
b2o$o2bo!

Code: Select all

x = 4, y = 2, rule = B2-ac3ijkn4ceqrt5ceqy6-a7e/S01c2-ek3-ceiy4cnr5r6-ek7
b2o$o2bo!

Code: Select all

x = 4, y = 2, rule = B2ein3ceijn4cnqtz5-ekny6k7e/S01c2ain3ary4akryz5er6cen7e
b2o$o2bo!

It's a B-Ship, but it might not "B" what you expect...

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x = 4, y = 3, rule = B2ck3-cen4-anty5-akr6-ck7e8/S01c2-a3ceky4ry5cir6ek7e8
2bo$b3o$2obo!

Herschel ship:

Code: Select all

x = 3, y = 4, rule = B2ekn3iky4acjkn5aeknr6i7c/S02-k3ak4kwz5aq6ck7c8
o$3o$obo$2bo!

[Saka]

More searchRules.py results!
c/21d

Code: Select all

x = 4, y = 4, rule = B2-a3aekry4-ikn5-cekq6-n7c/S03r6a
obo$3bo2$3bo!

c/8

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x = 6, y = 3, rule = B2-a3aikqr4-ktwy5cinqy6-e7c8/S2ei3anr4cijknqr5inr6i7e
o$2b4o$o!

the apgcode is 2fuc OR saka!!!

Code: Select all

x = 4, y = 4, rule = B2kn3aeij4-kntw5-aeiy6aen78/S1e2-ck3cenqy4acjqrtz5ekry6-ck7c
bobo$obo$2obo$obo!

EDIT so people on't rage about triple posts:
c/23 that isn't what's expected

Code: Select all

x = 5, y = 4, rule = B2-ai3-aej4ceqwz5-aeir6aci8/S02-ai3ceky4acijnqw5ceiry6aen8
b3o$5o$b3o$2ob2o!

4c/12

Code: Select all

x = 3, y = 4, rule = B2cn3acij4-ainqy5acjry6ikn7e8/S1c2-n3ir4-nrtyz5-akqy6aen7e
bo$b2o$obo$2o!

xq26_fl

Code: Select all

x = 2, y = 5, rule = B2ekn3-ejn4-eknqy5aikn6-in78/S1e2ak3ace4ckqrz5aeir6ikn
2o$o$2o$o$bo!

Oh and large c/1 b1e photons and a wickstretcher

Code: Select all

x = 20, y = 27, rule = B1e2e3j4t5n6c/S2ik3nr4r5i6ace
8b6o$6b2o2b4o$5bobobobo$6b2o2b4o$8b6o6$3b11o$b2o2b4o4bo$obobobo6bo$b2o
2b4o4bo$3b11o8$8b12o$6b2o2b10o$5bobobobo$6b2o2b10o$8b12o!

MORE
This ship in the phase it's shown has an apgcode of xq15_lol but the unentertaining apg format changed it to 1e1, at least it spells "lel"

Code: Select all

x = 3, y = 5, rule = B2-ai3aeikq4ikrt5-qy6in7c/S2-ck3-aekn4-ajqty5cejqr6-ck7e8
obo2$obo$bo$3o!

It's SUPPOSED to be xq20_1337 but...

Code: Select all

x = 4, y = 3, rule = B2n3-cjk4cinyz5jkqy6-c/S01e2cik3akqy4aknrwyz5-ijn6aei7e
4o$b3o$3bo!