R and Rep Junk (B2n3ai4cr7/S1e2-c3aeir4a)

[Banananananan]

This is a rule I found with some interesting objects.
The R-pentomino is the most common spaceship.

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x = 3, y = 3, rule = B2n3ai4cr7/S1e2-c3aeir4a
b2o$2o$bo!

The table is a common puffer.

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x = 4, y = 2, rule = B2n3ai4cr7/S1e2-c3aeir4a
4o$o2bo!

Also, there's a replicator.

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x = 1, y = 4, rule = B2n3ai4cr7/S1e2-c3aeir4a
o$o$o$o!

Eater.

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x = 7, y = 9, rule = B2n3ai4cr7/S1e2-c3aeir4a
2o$6bo$6bo4$3bo$2b3o$2bo!

Goals:
Make logic gates (AND,ANDNOT gates found)
Prove Omniperiodic
Prove Turing Complete
Find more speeds
Find more replicator tech
Construct a Macro-spaceship(>1000x1000)

[pifricted]

A P40 gun.

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x = 46, y = 9, rule = B2n3ai4cr7/S1e2-c3aeir4a
o$o44bo$7bo37bo$7bo30bo$7bo30bo$7bo30bo$o37bo$o44bo$45bo!

[WhiteHawk]

A P40 gun.

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x = 46, y = 9, rule = B2n3ai4cr7/S1e2-c3aeir4a
o$o44bo$7bo37bo$7bo30bo$7bo30bo$7bo30bo$o37bo$o44bo$45bo!

The replicator can be stabilized with blocks (same pop, maybe smaller BB, definitely smaller Bounding Diamond).

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x = 48, y = 7, rule = B2n3ai4cr7/S1e2-c3aeir4a
$8bo$8bo30bo6b2o$2o6bo30bo6b2o$2o6bo30bo$39bo!

[Banananananan]

Here’s a smaller eater, found when trying to make a turner.

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x = 5, y = 13, rule = B2n3ai4cr7/S1e2-c3aeir4a
2b2o$bo$o$o7$3bo$2b3o$2bo!

[hibiscus]

Some stuff I found naturally:

p18 (domino can be removed)

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x = 6, y = 10, rule = B2n3ai4cr7/S1e2-c3aeir4a
2o6$2b3o$2bo2bo$2bo2bo$3b3o!

p15

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x = 7, y = 7, rule = B2n3ai4cr7/S1e2-c3aeir4a
2bo3bo$obo3bo$obo$2bo2$bo$bo!

p12

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x = 8, y = 6, rule = B2n3ai4cr7/S1e2-c3aeir4a
3bo$bobo3bo$bobo3bo$3bo$2bo$2o!

Two 2c/4 spaceships can be placed next to each other so that a B2n birth occurs, but it doesn't destroy any of the spaceships:

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x = 7, y = 7, rule = B2n3ai4cr7/S1e2-c3aeir4a
4bo$6bo$4b3o2$o$2bo$3o!

[hibiscus]

I have tried to tackle the problem of a reflector with fresh eyes.
The reflector was so simple... Repeat time 17.

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x = 26, y = 6, rule = B2n3ai4cr7/S1e2-c3aeir4a
o3bo4bo2b2o$o3bob2obo2$15b2o7bo$15bo7b2o$15bobo6b2o!

[PiSpaceships]

Smaller puffer:

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x = 4, y = 3, rule = B2n3ai4cr7/S1e2-c3aeir4a
4o2$3bo!

[CARuler]

a strange reaction i found while messing around (does not require SI)

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x = 3, y = 1, rule = B2n3ai4cr7/S1e2-c3aeir4aInvestigator
3L!

[eRroR_6o6]

new puffer just dropped

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x = 7, y = 8, rule = B2n3ai4cr7/S1e2-c3aeir4a
3o$2bo$o2$4b3o$bo$3o$o3b2o!

[Naszvadi]

Some stuff I found naturally:

p18 (domino can be removed)

Code: Select all

x = 6, y = 10, rule = B2n3ai4cr7/S1e2-c3aeir4a
2o6$2b3o$2bo2bo$2bo2bo$3b3o!

p15

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x = 7, y = 7, rule = B2n3ai4cr7/S1e2-c3aeir4a
2bo3bo$obo3bo$obo$2bo2$bo$bo!

p12

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x = 8, y = 6, rule = B2n3ai4cr7/S1e2-c3aeir4a
3bo$bobo3bo$bobo3bo$3bo$2bo$2o!

Two 2c/4 spaceships can be placed next to each other so that a B2n birth occurs, but it doesn't destroy any of the spaceships:

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x = 7, y = 7, rule = B2n3ai4cr7/S1e2-c3aeir4a
4bo$6bo$4b3o2$o$2bo$3o!

Known periods are 1-7, 12, 15, 17-\infty.

Added 1-7 and p17 loop. The p3, p5, p6 found using rlifesrc:

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x = 66, y = 57, rule = B2n3ai4cr7/S1e2-c3aeir4a
o9b2obo7bobo9b2o5bo4bo4b2o2b2o4b2o$o9bob2o7bobo16bob2obo17bo$22bo7bo
10b2o7bob2o9bobo$20b2ob2o5b2o8bo9bobobo8bobo$20b2o18bo3b2o$50b2o2b2o
21$23bo3bo4bo2b2o$23bo3bob2obo24b2o2$26bo7b2o7bo7bobo$25b2o7bo7b2o7bo$
26bo7bobo6b2o6b2o4b2o2$57bo$57bo$53b3o$53bo3b2o$25bo29bo$25b3o$26bo31b
o$58bo2$22bo$22bo31bo$53b3o$25bo29bo$22b2o3bo$25b3o$23bo$23bo2$22b2o4b
2o6b2o6bobo7bo$29bo7b2o7bo7b2o$27bobo7bo7b2o7bo2$22b2o24bob2obo3bo$44b
2o2bo4bo3bo!

[WhiteHawk]

Known periods are 1-7, 12, 15, 17-\infty.

Added 1-7 and p17 loop. The p3, p5, p6 found using rlifesrc:

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There is a p10 which is common

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x = 7, y = 4, rule = B2n3ai4cr7/S1e2-c3aeir4a
2bo$obo3bo$obo3bo$2bo!

Some p8s from Catagolue

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x = 22, y = 16, rule = B2n3ai4cr7/S1e2-c3aeir4a
2obob2o2b2o8b2o$3bo2bo3bo$3bobo12b2obo$5bobo11bobo$7bo8bo$16bo$20bo$20b
o2$b2o$5bo$5bo$5bo4b2o$5bo$b2o$b2o!

Collection (1-8 on top, 10, 12, 15 in the middle, RT17 loop at bottom)

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x = 78, y = 57, rule = B2n3ai4cr7/S1e2-c3aeir4a
2bo9b2obo7bobo9b2o5bo4bo4b2o2b2o4b2o11b2o$2bo9bob2o7bobo16bob2obo17bo
$24bo7bo10b2o7bob2o9bobo6b2obo$22b2ob2o5b2o8bo9bobobo8bobo7bobo$22b2o
18bo3b2o24bo$52b2o2b2o14bo$76bo$76bo7$16bo11bo3bo$2bo11bobo3bo5bobo3b
o$obo3bo7bobo3bo5bobo$obo3bo9bo11bo$2bo12bo$13b2o12bo$27bo6$25bo3bo4b
o2b2o$25bo3bob2obo24b2o2$28bo7b2o7bo7bobo$27b2o7bo7b2o7bo$28bo7bobo6b
2o6b2o4b2o2$59bo$59bo$55b3o$55bo3b2o$27bo29bo$27b3o$28bo31bo$60bo2$24b
o$24bo31bo$55b3o$27bo29bo$24b2o3bo$27b3o$25bo$25bo2$24b2o4b2o6b2o6bob
o7bo$31bo7b2o7bo7b2o$29bobo7bo7b2o7bo2$24b2o24bob2obo3bo$46b2o2bo4bo3b
o!

[hibiscus]

Here's a reduction to that reflector:

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x = 26, y = 6, rule = B2n3ai4cr7/S1e2-c3aeir4a
6bo2b2o$2o4bo2$15b2o6b2o$14b2o7bo$15bo7bobo!

p9, p11, p13

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x = 53, y = 12, rule = B2n3ai4cr7/S1e2-c3aeir4a
5b2o16bo8bo15b2ob2o$23bo8bo15bo2b2o$3b2ob3o15bo6bo16bo$2bo3bo2bo12bob
2o4b2obo10b2o2bo$2bo6bo12bob2o4b2obo16bo$o7b2obo12bo6bo19bo$ob2o7bo39b
o$2bo6bo17b2o$2bo2bo3bo$3b3ob2o2$5b2o!

Edit 2:
p14, p16

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x = 29, y = 8, rule = B2n3ai4cr7/S1e2-c3aeir4a
7b2o12b2obo$19bo2bobo3bo$3bo15bo2bobo3bo$bobo3bo13b2obo$bobo3bo$3bo$2b
o$2o!

This means... the rule is OMNIPERIODIC!

[LittleLWSS]

P3 Oscillator

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x = 5, y = 5, rule = B2n3ai4cr7/S1e2-c3aeir4a
2ob2o$2ob2o2$2ob2o$2ob2o!

P2 Oscillator

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x = 5, y = 5, rule = B2n3ai4cr7/S1e2-c3aeir4a
2o2$3bo$4bo$4bo!

Replicator shuttle(p112)

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x = 31, y = 4, rule = B2n3ai4cr7/S1e2-c3aeir4a
16b3ob3o$16bobobobo7bo$o15bobobobo7bo$o15b3ob3o!

[Banananananan]

Guys can someone give me the catagolue link??
Edit: found it.
https://catagolue.hatsya.com/census/b2n ... 3aeir4a/C1

[LittleLWSS]

Replicator Shuttle 2(p56)

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x = 17, y = 4, rule = B2n3ai4cr7/S1e2-c3aeir4a
4b3o9bo$o3bobo9bo$o3bobo$4b3o!

[WhiteHawk]

Replicator Shuttle 2(p56)

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Known, see the gun using blocks as stabilizers instead of dominos.

Also, this is the third member of the replicator shuttle sequence, not the second. (EDIT: Also, Isomers don't need different names)

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x = 17, y = 22, rule = B2n3ai4cr7/S1e2-c3aeir4a
4b3o5bo$o3bobo5bo$o3bobo$4b3o6$4b3o7bo$o3bobo7bo$o3bobo$4b3o6$4b3o9bo
$o3bobo9bo$o3bobo$4b3o!

[LittleLWSS]

Replicator Shuttle 2(p56)

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Known, see the gun using blocks as stabilizers instead of dominos.

Also, this is the third member of the replicator shuttle sequence, not the second. (EDIT: Also, Isomers don't need different names)

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Three replicator shuttles

Even horribler, with period 504:

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x = 29, y = 4, rule = B2n3ai4cr7/S1e2-c3aeir4a
4b3o21bo$o3bobo21bo$o3bobo$4b3o!

[confocaloid]

[...] Even horribler, with period 504: [...]

Horriblest: (oscillators from the same family with periods 4088, 16376, 131064, 699048)

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x = 77, y = 34, rule = B2n3ai4cr7/S1e2-c3aeir4a
4b3o33bo$o3bobo33bo$o3bobo$4b3o7$4b3o41bo$o3bobo41bo$o3bobo$4b3o7$4b3o
53bo$o3bobo53bo$o3bobo$4b3o7$4b3o69bo$o3bobo69bo$o3bobo$4b3o!
#C [[ GRID THEME MCell ]]

[LittleLWSS]

[...] Even horribler, with period 504: [...]

Horriblest: (oscillators from the same family with periods 4088, 16376, 131064, 699048)

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Four extremely long period replicator shuttles

I try to oscar this, and it is not detected oscillator even at generation 11683001.

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x = 97, y = 4, rule = B2n3ai4cr7/S1e2-c3aeir4a
4b3o89bo$o3bobo89bo$o3bobo$4b3o!
#C [[ GRID THEME Mono ]]

[confocaloid]

I try to oscar this, and it is not detected oscillator even at generation 11683001.

That's because it's four independent noninteracting oscillators with different periods, and the least common multiple of the periods is very high (I think the period is 7814424809016). You can try leaving only one of four oscillators in Golly before running oscar (and deleting the rest).

edit:

[...] I mean, the pattern that I put under the text.

Did not notice the other pattern. I think the period of that oscillator is 67108856.

[LittleLWSS]

I try to oscar this, and it is not detected oscillator even at generation 11683001.

That's because it's four independent noninteracting oscillators with different periods, and the least common multiple of the periods is very high (I think the period is 7814424809016). You can try leaving only one of four oscillators in Golly before running oscar (and deleting the rest).

I mean, the pattern that I put under the text.

[R2INT]

A few new replicator-based puffers:

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x = 344, y = 79, rule = B2n3ai4cr7/S1e2-c3aeir4a
28b4o13$226b4o$153b4o37b4o$194bo2bo$194b4o60b2o$90b4o163b4o$194b4o58b
ob2obo$194bo2bo59b4o$194b4o$257b4o$256bob2obo$257b4o$258b2o40b2o$299b
4o$300b2o$33bob2o23b4o$34b4o262b2o$34bo2bo226b2o33b4o31b4o$263b4o33b2o
$35b2o225bob2obo$28b4o63bob2o164b4o$90b4o2b4o157bo3bo2b2o40b2o26b4o$35b
2o195b4o20bo2bo2bo42b4o31b4o$60b4o34bo158b2ob2o44b2o$95b4o$35b2o220b4o
3b2o40b2o$95b2ob2o126b2ob2o2b3o20bob2obob4o38b4o$94b3o103b4o53b4obob2o
bo38b2o$33b2obo163bo2bo22b2ob2o27b2o3b4o33b2o32b2ob2o3bo$33b2obo59b2o
102b4o60b2o33b4o$301bo32b2ob2o$8b4o20bobob2o59b2o60b4o37b4o53b2o6bo73b
5o$8bo2bo20bobo165bo2bo61bo38bob2o$8b4o104b4o80b4o22b4o68bobo3bo36b2o
$34b2o31b2o28b2o54b4o37b4o65b3o32bobobo4b2o$66b4o89b4o31bo2bo60b2o42b
o38bobo$28b4o3b2o84bob2o69b4o35b2o28b2obo31b3ob2o30b2o5bobo$90b4o3b2o
23b4o131b4o2b2obo38b2o$3b2o117bobo69b4o101b2o33b2o4bob2o$2b4o29b2o85b
o71bo2bo33bob2o22b2o6bo40b2o28bo3bob2o$65b2ob2o27bob2o93b4o33bo33bo71b
2o$3b2o60b2o30bo2bo21b2o105bo75bo35b2o$35b2o84bo79b2o23b2obo4b2o27b3o
33bo2b2obob2o$66b2o28b2obobo21b2o133b2o39bo$3b2o94bobo57b4o63b2ob2o32b
4o34b2o$35b2o30b2o90bo2bo38b2o54b4o2bo2bo34b2ob2o$98b2o16b4o3b2o35b2o
37bo26b4o31bo$3b2o114bo79bo26bo2bo27b2o3b2obo$28b4o3b2o30b2o29b2o17bo
84b2o58b2obo$119bob2o30b2o5b2o65b2o28b3o$90b4o4b2o18b2o4b2o32b2o101bo
b3o$bo12bo20b2o23b2o6bo21bo63b3o37b2o61b2o2bo$bo2b2o7b3o52bo23bo23bob
2o78bo28b2o4b2o25b2ob2obo$8b2o5bo74b2o4b2o18bob2o2b2o29b2obo4b2o35bo64b
2obo$obob2o29b2o27bobob2o23bo62bob2ob2o32b2o$obo5b2o54bobo26bob2obo18b
2o4b2o28b2o$60b2o33bo2bo95bob2o$2b2o4b2o25b2o53b2o102bob2o$94bobob2o101b
2o$32bo61bobo97b2o$28b2o2bo3bo160b2o$30bo5bo164b2o$199bo$32bobob2o161b
o$32bobo167b2o$28b2o$34b2o!

More importantly, here is a puffrake:

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x = 16, y = 54, rule = B2n3ai4cr7/S1e2-c3aeir4a
7bo$2o5bo$12b2o$5b2o3bo$10bob2o$2o2b2o$5bo4b2o$2obo$3bo7bobo$8b2obobo
2$2o5b3o2$8bobo$8bobo2$7bo$7bo$12b2o$2b2ob2o3bo$10bob2o2$10b2o2$11bob
o$3b2o3b2obobo$2b4o$3b2o3bo$7b2o$3b2o2b2obo$2b4ob2obo2b2o$3b2o2b2o5b2o
$8bo5bo$3b2o$2b4o$3b2o2$3b2o3b4o$2b4o$3b2o14$8b4o!

[Layz Boi]

AND gate and AND+ANOT gate:

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x = 75, y = 69, rule = B2n3ai4cr7/S1e2-c3aeir4a
4bo27bo27bo$6bo55bo$4b3o25bobo25b3o2$2o26b2o26b2o2$8bo27bo27bo$b2o5bo
b2o17b2o5bob2o17b2o5bob2o$10b2o26b2o26b2o2$b2o26b2o27bo$2bo27bo$obo25b
obo25bobo$12bo27bo27bo$12bo27bo27bo6$5bo27bo27bo$5bo27bo27bo$6bo27bo27b
o$7b2o26b2o26b2o22$5bo27bo27bo$7bo55bo$5b3o25bobo25b3o2$b2o26b2o26b2o
2$9bo27bo27bo$2b2o5bo2bo5bo11b2o5bo2bo5bo11b2o5bo2bo5bo$12bob2o2bo21b
ob2o2bo21bob2o2bo2$2b2o26b2o27bo$3bo27bo$bobo25bobo25bobo7$18bo27bo27b
o$6bo11bo15bo11bo15bo11bo$6bo10bo16bo10bo16bo10bo$7bo7b2o18bo7b2o18bo
7b2o$8b2o26b2o26b2o!

Alternatively a much smaller ANOT gate:

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x = 89, y = 25, rule = B2n3ai4cr7/S1e2-c3aeir4a
16b2o30b2o28b2o$18bo31bo29bo$19bo31bo29bo$19bo31bo29bo7$8bo31bo29bo$8b
o2bo28bo2bo26bo2bo$11bo31bo29bo11b2o$87bo$2o30bo29b2o24bo$b2o31bo28b2o
23bo$bo31bo29bo6$15b3o29b3o27bobo$15bo31bo$17bo31bo29bo!

The eaters aren't necessary.