Similar Speeds (B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8)

For discussion of other cellular automata.
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LaundryPizza03
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Similar Speeds (B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8)

Post by LaundryPizza03 » November 15th, 2022, 3:42 am

This rule appears 5 times in the 5s database, since there is a family of ships with common oblique displacements.

Spaceships
There are at least 5 natural oblique speeds, all of which involve interacting B-like engines with constant displacement (15,8) or (23,7).

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#C (15,8)c/600, 53 cells
x = 95, y = 32, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
93bo$92b3o2$90b3o$89b2obo$90b2o$91bo5$b3o$bo2bo$bo2bo$o3bo2$49bo$48b3o
$2bobo42bo2bo2$46bo2bo$46b4o$46b2o$46b3o4$73bo$74bob2o$73bob2o$73bo2bo
$73b3o!

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#C (23,7)c/832, 40 cells
x = 46, y = 40, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
42bo2bo$42bo2bo$42bob2o$42b2o12$20bo$20bobo$19bob2o$22bo$18bo$18bo2bo$
18b3o13$2b3o$ob2obo$2o3bo$bo2b2o$bo2bo$2b3o!
[/code
[code]
#C (15,8)c/1064, 29 cells
x = 21, y = 43, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
19bo$19b2o$16b2obo$14b2obo$15b3o$16bo29$2bo$b3o$2bo$o3bo$o3bo$2bo$o$4o
$bo!

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#C (23,7)c/1200, 22 cells
x = 82, y = 71, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
3bo$2bo2bo$3bo$b3o2$4bo$o2bo$b3o60$79b2o$75bo3bobo$81bo$79b3o!

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#C (30,16)c/2032 = (15,8)c/1016 x2, 6 cells
x = 4, y = 4, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
b3o$o2bo2$2bo!
There is also a 22c/455o symmetrical SMOS with a similar mechanism.

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x = 4, y = 39, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
bo2$o2bo$3o32$3o$o2bo2$bo!
Lastly, the only natural low-period ship is the following c/4d:

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x = 6, y = 5, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
bobo$o2b2o$5bo$2b4o$4bo!
Some non-natural low-period ships:

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#C c/2o
x = 38, y = 7, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
6bo13b3o11b3o$5b3o9bo2bobo2bo7bo2bo$2bo2bobo2bo5b3obobob3o6b2o2bo$b3ob
obob3o4bo9bo4bo4b2o$bo9bo3bob3o3b3obo3bobo2bo$ob3o3b3obo2bo11bo3bobo$o
11bo!

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#C c/3o
x = 46, y = 66, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
3b2o6bo$5bo3b2ob2ob2o14bo$b2o2bo2b2obo5bo11b3obo5bo$2o4bobo4bo2bobo9b
2o8b2obobo$bo3b4o7bob2o5b4o2bo3bo2bo2bo2bo$b3o2b2ob2o5b2o2bobo4b3o5bo
6bo2bo$3bob3o2bo7b2ob2ob3obo8bobob2obo$3bo2bo15bo2bo5b3ob6o2bo$3b5obo
14bo3b2o6b3o$5bo18bobo$9bo3$3b2o6bo15bo2b2o$5bo3b2ob2ob2o8b3ob3o$b2o2b
o2b2obo5bo7bo$2o4bobo4bo2bobo7bo$bo3b4o7bob2obo4b2o3bo$b3o2b2ob2o5b2o
4bo7b2o$3bob3o2bo7b3o4b2o3bo$3bo2bo13bo3bo$3b5obo8b2obo7b2o$5bo13b2ob
2o2b4o$9bo11bo5b2o3$3b2o6bo$5bo3b2ob2ob2o$b2o2bo2b2obo5bo$2o4bobo4bo2b
obo13bo3bo$bo3b4o7bob2obo5bo2b2o2b2o2bo$b3o2b2ob2o5b2o7b2ob2o4bobob2o$
3bob3o2bo7b3o3b2o2bo2b3o$3bo2bo13bobo3bo$3b5obo14b5o$5bo16b2o3bo$9bo
15b3o$25bo3$3b2o6bo$5bo3b2ob2ob2o$b2o2bo2b2obo5bo$2o4bobo4bo2bobo$bo3b
4o7bob2obo$b3o2b2ob2o5b2o4bo$3bob3o2bo7b3o5bo$3bo2bo13bo3b2o$3b5obo8b
2obo4bobo$5bo13b2ob2o4bo$9bo11bo4b2o$28bo3$3bobo$b2ob3o$2obobo$bo3bo$b
o3bo$2bo2b3o$9bo$2b2o2b2ob2o$b3o$bo4bo$b5o$3bobo!

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#C c/4o
x = 44, y = 62, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
2b2o$3o3bo3bo25b3obo$o4b2o4b2o9b5o9b2o3b2o$bo6bo2bo2bo7bo2b3o2b3o2bo5b
3o$obo8b2ob2o5b4ob3obob2o7b2o$o13b2obo13b2o$3o10bo5bobo$3o10bo5bobo$o
13b2obo13b2o$obo8b2ob2o5b4ob3obob2o7b2o$bo6bo2bo2bo7bo2b3o2b3o2bo5b3o$
o4b2o4b2o9b5o9b2o3b2o$3o3bo3bo25b3obo$2b2o3$7bo$2b2o2bo2bo3b2o9bo2bo$
2bob2o3b3o2bo8b5obo$2bo5bo2bo3b2o$b2o9bo4bo4b3o2b2ob3obo$bo11bo2bo5b2o
8bob2o$2ob2o10b2o2bobo3bo6bo3bo$2ob2o10b2o2bobo3bo6bo3bo$bo11bo2bo5b2o
8bob2o$b2o9bo4bo4b3o2b2ob3obo$2bo5bo2bo3b2o$2bob2o3b3o2bo8b5obo$2b2o2b
o2bo3b2o9bo2bo$7bo3$7bo$2b2o2bo2bo3b2o$2bob2o3b3o2bo9bo$2bo5bo2bo3b2o
11bo$b2o9bo4bo4bobo2b2o$bo11bo2bo7bobo$2ob2o10b2o2b5o4bo$2ob2o10b2o2b
5o4bo$bo11bo2bo7bobo$b2o9bo4bo4bobo2b2o$2bo5bo2bo3b2o11bo$2bob2o3b3o2b
o9bo$2b2o2bo2bo3b2o$7bo3$7bo$2b2o2bo2bo3b2o10b2o$2bob2o3b3o2bo8bo$2bo
5bo2bo3b2o5b2o3bo$b2o9bo4bo9b2obo$bo11bo2bo3bo7bo$2ob2o10b2o2bo$2ob2o
10b2o2bo$bo11bo2bo3bo7bo$b2o9bo4bo9b2obo$2bo5bo2bo3b2o5b2o3bo$2bob2o3b
3o2bo8bo$2b2o2bo2bo3b2o10b2o$7bo!

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#C 2c/5o
x = 34, y = 45, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
2b2obo$2bob2o3bo$bo6b3o2bo$o2bo3b2ob2o5bo$o2bo3b2o8bobo3b2o3b3o$bo6b4o
b3o7bobo2b3o$2bob2o3bo5bo4bo2bo4b4o$2b2obo7bo4b4o2b3o$10bo6b3obo10bo$
11b3o4b2o2bo10bo$11b3o4b2o2bo10bo$10bo6b3obo10bo$2b2obo7bo4b4o2b3o$2bo
b2o3bo5bo4bo2bo4b4o$bo6b4ob3o7bobo2b3o$o2bo3b2o8bobo3b2o3b3o$o2bo3b2ob
2o5bo$bo6b3o2bo$2bob2o3bo$2b2obo4$5b2o$3bob2o3b2o$4o3bob4o$o4bobo4b2o$
o6b2obobo2b2o$4bo5b2ob2o$o2bo8b2o$o$2obo$2bo$3bo$3bo$2bo$2obo$o$o2bo8b
2o$4bo5b2ob2o$o6b2obobo2b2o$o4bobo4b2o$4o3bob4o$3bob2o3b2o$5b2o!

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#C c/5o
x = 6, y = 9, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
b2o$bo2bo$o3bo$3o2$2b2o$b2o2bo$2bo2bo$2bo2bo!

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#C c/5d
x = 28, y = 28, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
3bo$b5o$bo3b2o2b2o$2o3bo3bo2bo$bo2bobo2b3obo$b3o10bo$2bobobo2bo4bo$8bo
bo2bobo$7b2obo2b2obo$2b3obo4b2obobo$2bobo2b2o$4bo4bo7b2o$3bo5bo8b2o$4b
o2b2o10bobo$5b2ob2o$7bo13bobo$8b2o13bo2bo$11bo13b3o$11b2o$12b2o2$13bob
o2$15b2o2$17bo$16b2o$17bo!

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#C c/6d
x = 42, y = 42, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
5b2o$4bob2o$3b3obo$b2obo$bo$5b3o5bo$3o2bob3ob3o$bo4bo5bo$3bo3bo2b2o3bo
$7b2o5bo$7bob2obo$6b2o2bo4b3o$9b2o3bo2bo$6bo3bo6bo$6b3obo2b2o2b3o$7bob
3o2bo4bo$8bo6b2ob2o$11bo4bo4b2o$11b3ob2o5bo$11bobobobobobo4b2o$17bo3bo
2bo2bobo$17bo5b4obo$17bo3bo6bo$17b2ob2o5b2o$18bo2bo$21b2o3b3o$21b2o2bo
3bo$19bo2b3obo2b2o$19b2o5b2o$20bobo3bob2obo$24bo$28bo2bo2bo$28bo3b2o$
29b2obo2bo$31b2o2bo3b2o$33bobo2bob2o$38b2obo$36bobo$35b2o$35bo$34b2o$
35bo!
Oscillators
There are several high-period oscillators using a B-like mechanism:

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#C p272
x = 19, y = 6, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
bo15bo$2o15b2o$bob2o9b2obo$3bob2o5b2obo$3b3o7b3o$4bo9bo!

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#C Smallest known of several p368
x = 59, y = 39, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
b3o$3o$o$bo2bo$b3o9$43b2o$42bo4$56b3o$54b3obo$55b3o14$14bo$13bo3bo$13b
o2b2o$13b2ob2o$15b2o!

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#C Symmetric p368
x = 70, y = 29, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
16bo$15b2o$16bob2o$18bob2o$18b3o$19bo5$66bo$66b3o$67bobo$66bo2bo$3obo
60bob3o$o2bo$obo$b3o$3bo5$50bo$49b3o$48b2obo$50b2obo$53b2o$53bo!

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#C p832 (matches one of the spaceships)
x = 25, y = 27, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
23bo$24bo$21bo2bo$23b2o17$3b3o$5bo$3o2bo$o$2ob2o$2b2o$3b2o!

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#C p1296
x = 34, y = 20, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
bo2$o2bo$3o13$31bo2$30bo2bo$30b3o!
Low-period oscillators:

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x = 41, y = 113, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
6bo2b2o3b2o3b2o2b2o4bob2o3b2o$10bo3bo4bo3bobo3b2obo2bo2bo$10b2o4bo3bo
4bo5bo3b2obo$6bo8b2o2b2o4b2o4b2o4bo$37b2o2$6bo3b2o3b2o5b2ob2o2bobo$9bo
2bo2bobo4bobobo2b3o4bobo$9bo2bo4bobo4bo11b3obo$6bo3b2o6b2o4b2o5b3o5b2o
$31bobo4bo$38b2o$6bo8$o2bo2bo8b2o11b2o$9b3o3bobo3b3o4bo$10b3o5bo3bobo
4bo$6bo10b2o4b3o4b2o$33bo$32b2o$o2bo2bo10bo$9b4o3bobo5bo$9b4o3b3o4b2o
3b2o2b2o$o15bobo4b2o4bo3bo$17bo4bo6b2o2b2o$25bo$o2bo2bo16b2o8$o2bo2bo$
9b2o8b2o$10b2o6b2obo$6bo5b2o4bob2o$13b2o4b2o2$o2bo2bo3$6bo3$o2bo2bo8$o
5bo4bo5b2o$10b5o2bobo$11bo$o5bo12bobo$20b2o2$o2bo2bo3$6bo3$6bo8$o2bo2b
o3$o3$o2bo2bo3$6bo3$o2bo2bo8$o2bo2bo11b2o$10b2o5bo$11b2o4bobobo$o20bo$
11b2o6b2o$12b2o$o2bo2bo3$o5bo3$o2bo2bo!
Miscellaneous
Some small vanishing patterns:

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x = 39, y = 4, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
o2b2o2bo3bobo2bo4b2o3bo3bobo3bo$8bo3bo4bo3b2o2bobo3bo3bobo$18bo7bo3bob
o3bobo$37bo!
No natural infinite growth is known.

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x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Similar Speeds (B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8)

Post by NimbleRogue » November 16th, 2022, 3:10 am

Three new oscillators from a D8_1 search with a interesting p13

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x = 385, y = 207, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
46$253b4o49b4o$251b4ob2o47b2ob4o$251bo4b3o45b3o4bo$251b3o2b2o47b2o2b3o
3$275bo11bo$273bobo11bobo$273b3o11b3o2$133b2o11b2o94b3o73b3o$133bobo9b
obo94bobo73bobo$133bob2o7b2obo93b2obo73bob2o$133b3o9b3o93b2o77b2o$133b
2o11b2o93bo79bo$241b4o73b4o$242b3o73b3o$243bo75bo12$57bo$56bobo$55b2ob
2o$56bobo189b2o63b2o$249bo63bo$52bo9bo184b3o63b3o$51b3o7b3o44b5o55b5o$
50bo13bo43bo2b2o55b2o2bo$51b3o7b3o45b3o57b3o$52bo9bo47bo59bo2$56bobo$
55b2ob2o$56bobo$57bo3$110bo59bo76b3o63b3o$109b3o57b3o77bo63bo$108bo2b
2o55b2o2bo75b2o63b2o$108b5o55b5o14$243bo75bo$242b3o73b3o$241b4o73b4o$
241bo79bo$241b2o77b2o$241b2obo73bob2o$242bobo73bobo$133b2o11b2o94b3o
73b3o$133b3o9b3o$133bob2o7b2obo125b3o11b3o$133bobo9bobo125bobo11bobo$
133b2o11b2o127bo11bo3$251b3o2b2o47b2o2b3o$251bo4b3o45b3o4bo$251b4ob2o
47b2ob4o$253b4o49b4o!

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x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

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#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

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Re: Similar Speeds (B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8)

Post by LaundryPizza03 » November 16th, 2022, 8:28 pm

p218. I found it in D2_+1, but I think NimbleRogue found it first in D8_1.

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x = 4, y = 15, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
bo$ob2o$3bo$bobo$b2o6$b2o$bobo$3bo$ob2o$bo!

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x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Similar Speeds (B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8)

Post by LaundryPizza03 » November 18th, 2022, 2:21 am

p3232 from C1; probably much more common in C2_2:

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x = 63, y = 18, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
2bo2$o2bo$b3o11$59b3o$59bo2bo2$60bo!
EDIT: In D8_4, I found two new periods (p5 and p9) and an even-symmetric variant of the p78.

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x = 89, y = 64, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
2o3b2o4b2o6b2o$bo3bo5bo8bo$b2ob2o3b2obo6bob2o$9bob2o6b2obo$13b2o2b2o
36b2o4b2o$b2ob2o7bob2obo34b2obo4bob2o$bo3bo8bo2bo34b2o2bo4bo2b2o$2o3b
2o7bo2bo35b2o8b2o$13bob2obo$13b2o2b2o$9bob2o6b2obo$9b2obo6bob2o$11bo8b
o$11b2o6b2o14$31bo54bo$30b3o52b3o$30bobo52bobo$29bo58bo$29b3o54b3o5$
29b3o54b3o$29bo58bo$30bobo52bobo$30b3o52b3o$31bo54bo20$53b2o8b2o$52b2o
2bo4bo2b2o$53b2obo4bob2o$55b2o4b2o!
EDIT2: New p1664

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x = 100, y = 4, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
2o96b2o$o2bo92bo2bo$o98bo$bo96bo!

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x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Similar Speeds (B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8)

Post by LaundryPizza03 » November 18th, 2022, 9:19 pm

Possible p46 partial; there is no known suitable p23 or p46.

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#C [[ STOP 23 ]]
x = 20, y = 7, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
4b2o9b2o$4bobo7bo2bo$6bo5bo2b2o2bo$bo2b3o5b2o4b2o$o2bo8bo2b2o2bo$2bo
11bo2bo$15b2o!
Possible p66 or p250 partial:

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#C [[ STOP 33 STOP 125 ]]
x = 29, y = 15, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
20bobo$17b3o3b3o$17b3o3b3o$15b2o4bo4b2o$15b2o9b2o$4b2o9b2o9b2o$4bobo7b
o13bo$6bo10bo7bo$bo2b3o7bo13bo$o2bo11b2o9b2o$2bo12b2o9b2o$15b2o4bo4b2o
$17b3o3b3o$17b3o3b3o$20bobo!
p78 shuttle for a single B-heptomino, similar and compatible to the existing p78 tech:

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x = 62, y = 17, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
54bo$53bobo$7bo44b2ob2o$6bobo44bobo$5b2ob2o$6bobo23bo16bo9bo$32b2o14b
3o7b3o$2bo9bo18bob2o12bo13bo$b3o7b3o17bobo14b3o7b3o$o13bo16b2o16bo9bo$
b3o7b3o$2bo9bo40bobo$52b2ob2o$6bobo44bobo$5b2ob2o44bo$6bobo$7bo!
What search program can I use to aid the search for B-heptomino hasslers based on known catalysts?

EDIT: There is also an even-symmetric variant of the xq455.

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x = 4, y = 38, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
bo2$o2bo$3o31$3o$o2bo2$bo!
EDIT2: New xp1296 that rotates 90 degrees, and which is loopable to p648.

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x = 144, y = 63, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
18b2o79b2o$17bo2bo77bo2bo$17bo2bo77bo2bo$18b2o79b2o14$60b2o79b2o$59bo
2bo77bo2bo$59bo2bo77bo2bo$60b2o79b2o$34bo80bo$35bo80bo$32bo2bo77bo2bo$
34b2o79b2o14$108b2o$108bo2bo$108bo$109bo$b2o79b2o$o2bo77bo2bo$o2bo77bo
2bo$b2o79b2o14$43b2o79b2o$42bo2bo77bo2bo$42bo2bo77bo2bo$43b2o79b2o!
New xp368 that has the same property:

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x = 206, y = 102, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
47b2o102b2o$46bo2bo100bo2bo$46bo2bo100bo2bo$47b2o102b2o26$164b2o$163b
2ob2o$163b2o2bo$163bo3bo$166bo13$99b2o102b2o$68b2o28bo2bo21b3o46b2o28b
o2bo$67bo30bo2bo20bob3o44bo30bo2bo$99b2o21b3o78b2o3$b2o78b3o21b2o78b3o
$o2bo75b3obo20bo2bo30bo44b3obo$o2bo76b3o21bo2bo28b2o46b3o$b2o102b2o13$
39bo103bo$38bo3bo99bo3bo$38bo2b2o99bo2b2o$38b2ob2o99b2ob2o$40b2o102b2o
26$53b2o102b2o$52bo2bo100bo2bo$52bo2bo100bo2bo$53b2o102b2o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Similar Speeds (B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8)

Post by LaundryPizza03 » November 21st, 2022, 3:53 pm

The sixth 5s speed in this rule: (31,22)c/1432 with 18 cells.

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x = 30, y = 60, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
4bo$3bo$5bo$4bo$2obo$o2bo$b3o50$28bo2$26bo2bo$27b3o!
New p14:

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x = 12, y = 4, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
b2o2b2o2b2o$o2b2o2b2o2bo$o2b2o2b2o2bo$b2o2b2o2b2o!
Smaller (23,7)c/832, at 20 cells:

Code: Select all

x = 23, y = 10, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
20bo$19bo$19bo2bo$3bo15b2o$2bo$2bo2bo$o3b2o$bo2bo$bo2bo$b3o!
Smaller (15,8)c/600, at 31 cells:

Code: Select all

x = 48, y = 11, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
41b3o$41bobo$43bo$44b2o$44bobo$b3o40bo$bobo38bo3bo$2obo39bo2b2o$43bo3b
o$44bo2bo$45b3o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Similar Speeds (B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8)

Post by FlutterWithKSparkler » January 10th, 2024, 12:12 pm

Z is a good catalyst, three cells smaller than a pond. It makes the oscillator at period 1296 have more exposed sparks.

Code: Select all

x = 49, y = 49, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
10b2o$11bo$11b2o8$48bo$46b3o$46bo19$20b2o$20bo2bo$20bo$21bo2$2bo$3o$o
8$36b2o$37bo$37b2o!
An oscillator with period 92, a quarter of the known 368.

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x = 42, y = 42, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
25b3o$27bo$21bo3bobo$25b2o4$23b2o$23bo$22b2o5$3o$o2bo$ob2o$7bo$7b3o$9b
o$2bo$39bo$32bo$32b3o$34bo$38b2obo$38bo2bo$39b3o5$18b2o$18bo$17b2o4$
15b2o$14bobo3bo$14bo$14b3o!
A new oscillator with period 998.

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x = 45, y = 95, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
18b2o$18bo$17b2o29$41bob2o$41b2obo30$ob2o$2obo4bo$6b3o25b2o$6bo27bo2bo
$34bo$35bo25$26b2o$26bo$25b2o!
Another new oscillator with period 2960.

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x = 98, y = 98, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
57b2o$57bo$56b2o37$o$3o$2bo11$56b2o$56bo2bo$56bo$57bo$95bo$95b3o$97bo
37$40b2o$40bo$39b2o!
Signal loop with repeat time 137 can be made from a flipping converter.

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x = 140, y = 140, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
34b2o34b2o34b2o$34bo35bo35bo$33b2o34b2o34b2o2$74b2o34b2o$74bo35bo$73b
2o34b2o22$4bo$4b3o$6bo2$o$3o134bo$2bo134b3o$139bo2$55b2o34b2o$56bo35bo
$56b2o34b2o2$51b2o34b2o$52bo35bo$52b2o34b2o3$39bo$37b3o$37bo2$43bo$41b
3o54bo$41bo54b3o$96bo2$13bo88bo$12b2o86b3o$13bob2o83bo$15bob2o$15b3o$
16bo4$4bo$4b3o$6bo2$o$3o134bo$2bo134b3o$139bo2$133bo$133b3o$135bo7$39b
o$28b3o6b3o$26bo2bobo5bo$26bo3bobo$27bo4b2o9bo$28b5o8b3o54bo$27bo2b2o
9bo54b3o$27bo2bo65bo2$102bo$100b3o$100bo3$50b2o34b2o$51bo35bo$51b2o34b
2o2$46b2o34b2o$47bo35bo$47b2o34b2o2$o$3o134bo$2bo5bo2bo125b3o$7b2o2b2o
bo124bo$6b2o2bob3o$7bo3bobo119bo$8bo124b3o$10b2o123bo$10b2o3b2o$9b2o3b
o2bo$8bobo3bo$8bo2bo2bo$8b2obo5bo$10b2o4b3o$17b2o15$29b2o34b2o$29bo35b
o$28b2o34b2o2$33b2o34b2o34b2o$33bo35bo35bo$32b2o34b2o34b2o!
Any one of the three Z is a reflector for the (30,16)c/2032 spaceship.

Code: Select all

x = 118, y = 43, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
b3o$o2bo2$2bo29$113bo$113b3o$115bo$115b2o$116bo$116b2o3$109b2o$109bo$
108b2o!
This too.

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x = 108, y = 60, rule = B2in3-ekny4kt5ery6cin7c8/S2aek3-ace4eiyz5eik6-ck7e8
b3o$o2bo2$2bo54$105b2o$106bo$106b2o!
(*≧▽≦)~Yay

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