B3/S01357

[Apple Bottom]

B3/S01357 is a rule I randomly picked for investigation a few days ago. Turns out it's an interesting one; I've been doing some soup-searching on C1 soups, and Josh Ball has picked up the ball (...I'll get my coat) and looked at D8_1, D8_4 and (briefly) D4_+2.

Natural period-4 spaceship moving at c/4:

Code: Select all

x = 6, y = 4, rule = B3/S01357
3o$o2b2o$2o2b2o$3bo!

Natural period-2 spaceship moving at c/2:

Code: Select all

x = 7, y = 5, rule = B3/S01357
4b2o$2b3o$3o3bo$2o4bo$2o!

Natural (and rather pretty) xp40:

Code: Select all

x = 5, y = 6, rule = B3/S01357
o2bo3$4bo$2o2bo$2ob2o!

xq11 moving at (1,1)c/11:

Code: Select all

x = 7, y = 7, rule = B3/S01357
bob4o$4o$b4o$4o$obo$o$o!

xq4 moving at (1,1)c/4:

Code: Select all

x = 6, y = 6, rule = B3/S01357
3o$5o$2obobo$b2obo$bob3o$2bobo!

xq6 moving at 3c/6 - I really like how this one stretches and then contracts again to pull itself forward:

Code: Select all

x = 7, y = 10, rule = B3/S01357
2o$2o2bobo$4o$2b2o$5bo$5bo$2b2o$4o$2o2bobo$2o!

There's also an extremely common natural linear-growth pattern in this rule, plus some that have only occurred in symmetric soups.

[mniemiec]

B3/S01357 is a rule I randomly picked for investigation a few days ago. ... There's also an extremely common natural linear-growth pattern in this rule, plus some that have only occurred in symmetric soups.

Unfortunately, apgcodes for growing patterns only encode hashes and not patterns, so you can't derive the pattern from the hash. Also, the above URL shows no soups, even though the parent page https://catagolue.appspot.com/census/b3s01357/C1/yl6 says there are 73876 of them. This looks like a Catagolue bug.

[Kazyan]

To satisfy some curiosity, here is that linear growth pattern:

Code: Select all

x = 4, y = 4, rule = B3/S01357
b3o$2o$b3o$3bo!

[wildmyron]

B3/S01357 is a rule I randomly picked for investigation a few days ago. ... There's also an extremely common natural linear-growth pattern in this rule, plus some that have only occurred in symmetric soups.

Unfortunately, apgcodes for growing patterns only encode hashes and not patterns, so you can't derive the pattern from the hash. Also, the above URL shows no soups, even though the parent page https://catagolue.appspot.com/census/b3s01357/C1/yl6 says there are 73876 of them. This looks like a Catagolue bug.

Catagolue does not record any soups for patterns which are determined to be very common, e.g. the loaf in B3S23. In certain circumstances sample soups will be recorded (as for the eater) but I don't know what these circumstances are.

Whether this is a feature (to optimise database storage space) or a bug is debatable, but calcyman is aware of the issue.

[mniemiec]

Catagolue does not record any soups for patterns which are determined to be very common, e.g. the loaf in B3S23. In certain circumstances sample soups will be recorded (as for the eater) but I don't know what these circumstances are.

Whether this is a feature (to optimise database storage space) or a bug is debatable, but calcyman is aware of the issue.

This makes sense, although I would have expected it to it record some initial soups, before it was determined that the objects in question were, in fact, common.

[Apple Bottom]

Another xq2 moving at speed c/2, found in a D4_+2 soup by Alexey Nigin:

Code: Select all

x = 8, y = 6, rule = B3/S01357
bo4bo$3o2b3o$obo2bobo$o6bo$bob2obo$2bo2bo!

[velcrorex]

c/3 diagonal and two 2c/5 orthogonal

Code: Select all

x = 111, y = 58, rule = B3/S01357
43bo27b2o$43bob2o23bo2bo$45bo24b4o$43b3o24bo2bo$44b2obo23b2o$43bo27b2o
$41b3o5bo19b2o2b2o25bo3bo$38bo3bob2o6bo12b2obo6bob2o20bobobobo$38bobo
2bo2bo2b4o13bo4b2o4bo22bo3bo$38bo2bo4bo2b2o16b3o4b3o24bobo$38b2o5bob2o
bob2o12bob2o4b2obo21bo5bo$30bobo4b2o7b2o17bo2bo6bo2bo$29bob3o5bo4bo2bo
48bo2b2o3b2o2bo$31bo2bo3b2o5bo21b2o6b2o20bo2bo3bo2bo$26b2ob3o2bob3ob2o
bo25bo4bo$26bobo2bo7b2ob5o21bo6bo22bo7bo$24bo2bo2b2o7bo2bo25bo6bo22b2o
5b2o$23bo4b2o9bo30bo2bo23bo9bo$27bobo71b3o$23b3obobo9b2o28bo4bo22bobo
5bobo$23b2o3b3o10bo26b2o4b2o21bo9bo$21bo2b2o3bobo9b2o26bo4bo22bobobobo
bobo$24b3ob2o2bo4b5o27bo4bo26bobo$18b2obo6b3o2bo3bobo2bo25bo6bo22bo7bo
$20bo2bo5b8o2bobo$15bo2bo5b2o4b2obo2bobo31b4o24bo2bobo2bo$14bo2b5o3bo
8b2obobo30b4o24b2obobob2o$13bo3bobobobo7bo6b2o26bo2b2o2b2o2bo22bo3bo$
13bo7b4o2b2o2b2obo29bo2bob2o2b2obo2bo18bo7bo$12bo3bob3o4bo2bo2b4o2bo
26b2o12b2o19b7o$12b2o2b2obo2bo2b2o2bo3b2obo28bob3o4b3obo21bo3bo$12bo4b
o2bo2bobo39bob4o2b4obo22bobo$11bobo5bo5b3o2bobo31b2o3b6o3b2o18bobo3bob
o$9bo2b4ob3o2bobo2bobo35b2o4b2o4b2o21b2ob2o$9b2o3b2o4b2ob2ob2o2bo34b2o
b2o4b2ob2o17b2o3bobo3b2o$7bobo4b2o4bo3bo2b2obo34b2o10b2o21bo3bo$4bo3bo
2b2obo5bob2o2b2o42b4o22bob2o5b2obo$6b2o2b3ob2o7b2o40b2obo2b2o2bob2o20b
obobobo$3b3ob2obob2o2bob3o7bo36bo12bo18bo9bo$2bobobo6bo2b5o6bo38b2obob
2obob2o19bo2b2ob2o2bo$bo4bob4o2b2o4b2obob2o42b6o27bo$3bobo2b5o2b3o2bob
3o42bo8bo21bob2ob2obo$bob2o2bo4b2o2b2o3bo45bo8bo20bo2b2ob2o2bo$3o5bo3b
2ob2o2bo46b3o6b3o17bo2bo3bo3bo2bo$b3o2b2o4b2o4b3o44bob3o4b3obo15bobo4b
3o4bobo$2bo2bo4bob2obobo46b2o3bo4bo3b2o15b2o3b2ob2o3b2o$5b3obobo3b2obo
46b2o10b2o17b3obo3bob3o$6b2obo3b2obo47bobo10bobo17b2o2bobo2b2o$7b2o3bo
2bo48bo3b2o4b2o3bo17bo2bo3bo2bo$11bo2b2obo50b2o4b2o23b2o3b2o$9bob2o2bo
50b2o8b2o19b2o7b2o$8b3o3bo51b3o6b3o21bo5bo$9b3obo51bo12bo18b3o5b3o$10b
o55bob3o2b3obo20bo7bo$68b2o4b2o$68b3o2b3o18b2ob2o7b2ob2o$68b3o2b3o$96b
o11bo!

Other spaceships listed here.

[velcrorex]

c/7 orthogonal spaceship and p14 oscillator:

Code: Select all

x = 32, y = 40, rule = B3/S01357
4bobo$2b3ob3o$2bo5bo$3bo3bo$4bobo$o3bobo3bo$3bo3bo2$b2o2bo2b2o$bobobob
obo$2b3ob3o$bobobobobo$bo7bo$b3o3b3o$2o7b2o$b2o5b2o$2bobobobo$2bobobob
o$4bobo$3b2ob2o$3bo3bo$o2b5o2bo$2bo2bo2bo$b2o5b2o$2bo5bo$b2o5b2o$b2o5b
2o13bo2bo2bo$5bo$2o2b3o2b2o10b11o$b2o2bo2b2o13bo2bo2bo$3b2ob2o$bo7bo
15b3o$26bo$4b3o18bobo$3bobobo18bo$3b5o18bo$23bo5bo$21b11o$26bo$23bo5bo
!

The oscillator looks similar to these: http://catagolue.appspot.com/census/b3s01357/D8_1/xp14

[Apple Bottom]

c/3 diagonal and two 2c/5 orthogonal

c/7 orthogonal spaceship and p14 oscillator

Awesome! I wonder how long it'll be before those ships occur naturally.

Speaking of natural occurrences, here's two natural p8's.

One somewhat more common one that's D2-symmetric; it reminds me of Life's pentadecathlon, so I've come to call it the "octathlon":

Code: Select all

x = 3, y = 10, rule = B3/S01357
bo$bo$obo$obo$bo$bo$obo$obo$bo$bo!

And a less common one that's only appeared once so far; it's C2-symmetric, and turns into its own mirror image every four generations:

Code: Select all

x = 7, y = 5, rule = B3/S01357
bo2b2o$o2bo$2bobo$3bo2bo$b2o2bo!

[Apple Bottom]

An xp12 previously seen in D4 and D8 soups appeared naturally a while ago:

Code: Select all

x = 7, y = 6, rule = B3/S01357
2bobo$bo3bo$3bo$o2bo2bo$3bo$2b3o!

D2 symmetry, and it flips itself every 6 generations.

[wildmyron]

Some alternate backends for the c/3 diagonal ship posted above.

Code: Select all

x = 264, y = 60, rule = B3/S01357
51bo$49b3o70bo$45bo2bo71b2o$48bo69b3o$43b3o2bo70bo69bo$45bobo69bob2o
68b3o$43bo70bo3b2o69b2o60b2o$42bobobo67bobo2bo8bo56bobobobo62bo$41b2o
2b3o10b2o53b4obobo6bo57b3o2bobobo56b2o$40bo7bo9bo55bo4bobo2bob2o57b3ob
obob2o54bobo$39bo18bo54b2obo3bob5o58bobo2bob4o51b3o$38b2o10bo4b3o56b2o
2bo2bobo2bo54bo2bobo60bo$51bo2bo56b2ob4o6bo55bo2bobo3b4o54bo2bo$38bobo
10b2o55bo3bo2bobobob2o58bo6bob2o54bo2bo3b2o$38bo2bo9bo2b2obo50bobo2b2o
b3o2bo56bo2bo2bo2bob4o53b2o2bo3bo$38bo2bo10bo2bo52bo2bo3bob7o54bo2bobo
bo2bo62b2o2b2o5bo$38b2o13bobo52b2o5bo3bobo60bobo2bo59bobo2bo3bo$30bobo
4b2o12b2o47bobo4b2o7b2o52bobo3bob3o2bo62b5o2b2o6bobo$29bob3o5bo4b2o5bo
47bob3o5bo4bo2bo51bob3o10b3obo53bobo3bo5bo5b2obo$31bo2bo3b2o6bo3bo50bo
2bo3b2o5bo55bo2bo2bo4bo4bo49bobo2b2ob2o5bo2bobo$26b2ob3o2bob3ob2obo4b
2o46b2ob3o2bob3ob2obo52b2ob3o2bobobo3bo54b2obo11b2o2bo2b2o$26bobo2bo7b
2ob5obo47bobo2bo7b2ob5o49bobo2bo7bo2bob2o51b3o3bo7b2o6bo$24bo2bo2b2o7b
o2bo51bo2bo2b2o7bo2bo51bo2bo2b2o8bo57bobo2b2o7b2obob3o$23bo4b2o9bo53bo
4b2o9bo53bo4b2o9bo2bo54bob3o8bobo2b2o$27bobo67bobo67bobo67b2o2bo8bo$
23b3obobo9b2o52b3obobo9b2o52b3obobo9b2o52b3o11bo3bo$23b2o3b3o10bo51b2o
3b3o10bo51b2o3b3o10bo51b3o2bobo6b2obo$21bo2b2o3bobo9b2o48bo2b2o3bobo9b
2o48bo2b2o3bobo9b2o52bobo2b2o8b2o$24b3ob2o2bo4b5o52b3ob2o2bo4b5o52b3ob
2o2bo4b5o45b2o5b3ob2o2bo2b2o$18b2obo6b3o2bo3bobo2bo45b2obo6b3o2bo3bobo
2bo45b2obo6b3o2bo3bobo2bo44bo10b2o2b2o2b2obo$20bo2bo5b8o2bobo48bo2bo5b
8o2bobo48bo2bo5b8o2bobo43bo2bo7b2o2b2o4bobobo$15bo2bo5b2o4b2obo2bobo
46bo2bo5b2o4b2obo2bobo46bo2bo5b2o4b2obo2bobo46b2o5b2ob2o3b2obobob3o$
14bo2b5o3bo8b2obobo44bo2b5o3bo8b2obobo44bo2b5o3bo8b2obobo44bob2o7b3obo
2bo2b2ob3o$13bo3bobobobo7bo6b2o43bo3bobobobo7bo6b2o43bo3bobobobo7bo6b
2o43bo6bo2b2o2b3obo$13bo7b4o2b2o2b2obo48bo7b4o2b2o2b2obo48bo7b4o2b2o2b
2obo48bo4bobo2b2o2b2o2b4o$12bo3bob3o4bo2bo2b4o2bo44bo3bob3o4bo2bo2b4o
2bo44bo3bob3o4bo2bo2b4o2bo44bo9b2ob2o4bob2o$12b2o2b2obo2bo2b2o2bo3b2ob
o45b2o2b2obo2bo2b2o2bo3b2obo45b2o2b2obo2bo2b2o2bo3b2obo45b2o3bob4ob3ob
o4b2o$12bo4bo2bo2bobo56bo4bo2bo2bobo56bo4bo2bo2bobo56bo4bobo3b2o3bo$
11bobo5bo5b3o2bobo48bobo5bo5b3o2bobo48bobo5bo5b3o2bobo48bobo9bo$9bo2b
4ob3o2bobo2bobo49bo2b4ob3o2bobo2bobo49bo2b4ob3o2bobo2bobo49bo2b4ob2o4b
ob2o$9b2o3b2o4b2ob2ob2o2bo48b2o3b2o4b2ob2ob2o2bo48b2o3b2o4b2ob2ob2o2bo
48b2o3b2o6b2o$7bobo4b2o4bo3bo2b2obo46bobo4b2o4bo3bo2b2obo46bobo4b2o4bo
3bo2b2obo46bobo4b2o4bo4bo3bobo$4bo3bo2b2obo5bob2o2b2o46bo3bo2b2obo5bob
2o2b2o46bo3bo2b2obo5bob2o2b2o46bo3bo2b2obo5bob2o3bo2b2o$6b2o2b3ob2o7b
2o51b2o2b3ob2o7b2o51b2o2b3ob2o7b2o51b2o2b3ob2o11b2o$3b3ob2obob2o2bob3o
7bo44b3ob2obob2o2bob3o7bo44b3ob2obob2o2bob3o7bo44b3ob2obob2o2bob3o7b2o
$2bobobo6bo2b5o6bo44bobobo6bo2b5o6bo44bobobo6bo2b5o6bo44bobobo6bo2b5o
6bo$bo4bob4o2b2o4b2obob2o44bo4bob4o2b2o4b2obob2o44bo4bob4o2b2o4b2obob
2o44bo4bob4o2b2o4b2obob2o$3bobo2b5o2b3o2bob3o48bobo2b5o2b3o2bob3o48bob
o2b5o2b3o2bob3o48bobo2b5o2b3o2bob3o$bob2o2bo4b2o2b2o3bo49bob2o2bo4b2o
2b2o3bo49bob2o2bo4b2o2b2o3bo49bob2o2bo4b2o2b2o3bo$3o5bo3b2ob2o2bo50b3o
5bo3b2ob2o2bo50b3o5bo3b2ob2o2bo50b3o5bo3b2ob2o2bo$b3o2b2o4b2o4b3o50b3o
2b2o4b2o4b3o50b3o2b2o4b2o4b3o50b3o2b2o4b2o4b3o$2bo2bo4bob2obobo54bo2bo
4bob2obobo54bo2bo4bob2obobo54bo2bo4bob2obobo$5b3obobo3b2obo56b3obobo3b
2obo56b3obobo3b2obo56b3obobo3b2obo$6b2obo3b2obo59b2obo3b2obo59b2obo3b
2obo59b2obo3b2obo$7b2o3bo2bo61b2o3bo2bo61b2o3bo2bo61b2o3bo2bo$11bo2b2o
bo63bo2b2obo63bo2b2obo63bo2b2obo$9bob2o2bo63bob2o2bo63bob2o2bo63bob2o
2bo$8b3o3bo63b3o3bo63b3o3bo63b3o3bo$9b3obo65b3obo65b3obo65b3obo$10bo
69bo69bo69bo!

Edit: for clarity

[Saka]

WLS:

Code: Select all

x = 54, y = 203, rule = B3/S01357
11b2obo2b2ob2obo4b2o$16bob2obo3b3o$10bob2o2bo2bo5bobo$7bobo6bo2bo2bobo
b2o$bo5bobo3bo5bob2ob5o$o3bob2o2bobo8bo2bo3bo$bo2bobo2bo11bo2bob5o$4bo
15bo3bo$bo2bobo2bo11bo2bob5o$o3bob2o2bobo8bo2bo3bo$bo5bobo3bo5bob2ob5o
$7bobo6bo2bo2bobob2o$10bob2o2bo2bo5bobo$16bob2obo3b3o$11b2obo2b2ob2obo
4b2o4$5bo2bo3b2o2b2obo2bo4bo$bob8o2bobob2obobo3bo3bo$12bo9bobo2bo2bo$
2b2obob4obobob4o3b2ob2o2bobo$6bo3b2ob4obo2bo2bobo2b3o$6bobobo2bobobo2b
o6bo$4b2o2bo5bo2bo2bob3obo3bobo$7bob4o2bobo2bo$4b2o2bo5bo2bo2bob3obo3b
obo$6bobobo2bobobo2bo6bo$6bo3b2ob4obo2bo2bobo2b3o$2b2obob4obobob4o3b2o
b2o2bobo$12bo9bobo2bo2bo$bob8o2bobob2obobo3bo3bo$5bo2bo3b2o2b2obo2bo4b
o6$2b2o$5bo$5bo2b2o2bo$3b2o3b2o3b2o$6bo4bo$8b2o$5bo2b2o2bo$8b2o$6bo4bo
$3b2o3b2o3b2o$5bo2b2o2bo$5bo$2b2o4$5b2ob2o13bo2bobo$2bobo5bobo4bob2ob
6o4bob2o3bo$6bobo28bobo$3b3o3b3o6b5ob2o7b5o2bo$5bo3bo10b4o4bo6b2obo$6b
obo13bobo13bo2bo$22bobo3bo$6bobo13bobo13bo2bo$5bo3bo10b4o4bo6b2obo$3b
3o3b3o6b5ob2o7b5o2bo$6bobo28bobo$2bobo5bobo4bob2ob6o4bob2o3bo$5b2ob2o
13bo2bobo4$3b2o3bobo$2b2o2b4obo$3b3obob2o$6bo3$3b2o2b2o$2b2o2b2o4b2o$
3b3obo2b3o$6bob3obo$7bob2o$7bo2bo$8b4o$7bo2bo$7bob2o$6bob3obo$3b3obo2b
3o$2b2o2b2o4b2o$3b2o2b2o3$3bo$3bo6bo$3b2o2b2obo$4bo6b2o$3bob2o5bo$3b2o
$2bo2bo2b2o$2b2o3b2o$3bobo2b2o2b2o$9b4o$3b2o3b3o3bo$2b2o4bo5bo$3bo4bo
4$8bob2o$9b2o$4b3obo2b2o$5bobo4bo$2b2obo$5bobo4bo$4b3obo2b2o$9b2o$8bob
2o3$9bo11bo2bo$8b2o9b2ob3o$6bo11bo2bo$4bo4b4o4bobobo$3bo4bo3bobo5bob2o
$3bo2bob3o4b3o6bo$2bo4bo4bobob2o4b2o$3bo2bob3o4b3o6bo$3bo4bo3bobo5bob
2o$4bo4b4o4bobobo$6bo11bo2bo$8b2o9b2ob3o$9bo11bo2bo6$33bo$21b2o9b2o$6b
o2bob2o6bo8bobo$4b2obo2bo2bo2bo7b2o3bobo$2bo4bo2bob4ob4o3b2o2bo$4b2obo
2bo2bo2bo7b2o3bobo$6bo2bob2o6bo8bobo$21b2o9b2o$33bo2$38bo$26b2o9b2o$6b
o2bobo2bob2o6bo8bobo$4b2obo2bobo2bo2bo2bo7b2o3bobo$2bo4bo2bobo2bob4ob
4o3b2o2bo$4b2obo2bobo2bo2bo2bo7b2o3bobo$6bo2bobo2bob2o6bo8bobo$26b2o9b
2o$38bo4$53bo$41b2o9b2o$6bo2bobo2bobo2bobo2bobo2bob2o6bo8bobo$4b2obo2b
obo2bobo2bobo2bobo2bo2bo2bo7b2o3bobo$2bo4bo2bobo2bobo2bobo2bobo2bob4ob
4o3b2o2bo$4b2obo2bobo2bobo2bobo2bobo2bo2bo2bo7b2o3bobo$6bo2bobo2bobo2b
obo2bobo2bob2o6bo8bobo$41b2o9b2o$53bo3$3b2o3b2o$2b2o3b5obo10bo3b2o$3b
2o2bobobo3bo2b2obo2b6o2bo$5b2obo2b2o2b2o3bobo4b3obobo$11bo2bo2b3obo6b
2o$11bo4b2o3bo7bo$17bo5bo7bobobo$19b2o2bo$17bo5bo7bobobo$11bo4b2o3bo7b
o$11bo2bo2b3obo6b2o$5b2obo2b2o2b2o3bobo4b3obobo$3b2o2bobobo3bo2b2obo2b
6o2bo$2b2o3b5obo10bo3b2o$3b2o3b2o5$3b2o3b2o4bo3bob2o$2b2o3b5obobob2o3b
o$3b2o2bobobo4bob4o$5b2obo2b2o9bo$11bo4b2ob2ob2o$11bo7bobobo$16bobobo$
16bobo2bo$16bobobo$11bo7bobobo$11bo4b2ob2ob2o$5b2obo2b2o9bo$3b2o2bobob
o4bob4o$2b2o3b5obobob2o3bo$3b2o3b2o4bo3bob2o!

Top to bottom:
Large p2
Large p3
Small p3
Small p4s
c2
c2
c2
c3 (found)
c3
exetnsible c4
c4 extension
c4 extension
2c4 puffer
2c4

[Bullet51]

Is this known?

Code: Select all

x = 5, y = 12, rule = B3/S01357
o3bo$o3bo2$2bo$2bo$bobo5$o3bo$o3bo!

[Saka]

Is this known?

Code: Select all

x = 5, y = 12, rule = B3/S01357
o3bo$o3bo2$2bo$2bo$bobo5$o3bo$o3bo!

Not on apgsearch

[Saka]

I ran a census on D4_x4 and found this p2:

Code: Select all

x = 10, y = 10, rule = B3/S01357
4bo$bo3bo$2b3o$2bo2bo$obo3bobo$bobo3bobo$4bo2bo$5b3o$4bo3bo$5bo!

[LaundryPizza03]

c/6o, courtesy of Rocknlol:

Code: Select all

x = 11, y = 37, rule = B3/S01357
4bobo$3bo3bo$bo7bo$o2b2ob2o2bo2$4b3o$3bo3bo$4bobo$4bobo$4bobo2$2bo2bo
2bo$bo2b3o2bo2$b2ob3ob2o$2bobobobo$2bo2bo2bo$2bob3obo$2bobobobo$3bobob
o$3bobobo$4bobo2$4bobo$4bobo$2b7o$3bo3bo$5bo$4b3o2$3bo3bo$3bo3bo$4bobo
2$5bo$5bo$4b3o!