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Chai

02**
03***
04**
05**
08***
09*
12*
17****
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19*****
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27***
29*
30**
31****
32*****

Chai

Self-nominating the Duck and Frog orthogonoid using a very minimal single-channel kit
viewtopic.php?f=11&t=5903&start=50

Chai

get_Snacked wrote: September 29th, 2024, 4:30 pm here's a VERY late question:
how did you guys find all these catalysts?

I found the one in my post by hand. I'm not sure how the other ones were found.

Also, I think this rule is really interesting! I'll probably do more with it in the near future.

Chai

There are no still lives other than the block where all live cells have 3 live neighbors.
There are infinitely many with all-but-4 (long^n barges), all-but-3 (long^n boats), and all-but-2 (long^n ships).
Is there a still life where all but 1 live cell has 3 live neighbors? Are there infinitely many?

Chai

The rule with B2i may better:

After some experimentation, I do think that this rule is overall more interesting, perhaps deserving of its own thread, with the addition of B2i. The altered rule is overall more active, and features a similar amount of catalyst reactions, including ones allowing ...

Chai

I don't think that, when Anivec posted this, he knew quite how much work this would take:

I think it's about time to try to make a orthogonoid.

It took more than a year, but I eventually completed the project - the following is a 40c/69704 orthogonoid:

orfrogonoid.mc

Also, my 100th post ...

Chai

Slow salvo duck synthesis of the construction arm - 86 ducks rather than 1155 frogs. Ducks are also cheaper than frogs to fire (a single-channel operation requiring 3 rather than 5 frogs), meaning that this should reduce the orthogonoid by about an order of magnitude.

x = 656, y = 667, rule ...

Chai

It looks like the wick burns at 6c/8, which is faster than the fastest possible orthogonal spaceship speed in Day & Night.

Chai

6π √(3/181) ≈ 2.42673560982 (+0.0000002665819121) (6 leading zeros (!))

Chai

Single channel things:

Shift:
-13, -6, -3, -2, -1, +4, +8, +15

x = 1845, y = 235, rule = B2n3-r4ej/S2-n3-cq4i5q
1563bobo$1560bo2bobo$1559b3ob3o$1560bo4bo$1565bo4$1297bo$1294b2obo284b
2o$1297bo284b2o$94bob3o1198bo$91b2obo3bo998b3o197bo$94bob3o995b2o3bo$
94bo3bo557b3o438b3o ...

Chai

I did mean B1c - sorry for the mistake.

Chai

After running it for 16777215 generations in golly, it has a bounding box of 33554431 x 33554431 and a population of 375299968947541. 375299968947541/(33554431^2) ≈ 0.333333353 (?)

Chai

When running a single dot in the rule B1/S012345678, at generations (2^n)-1, as n approaches infinity, the pattern's density *appears* to approach 1/3. Does it actually approach 1/3? If so, why? (if there's a meaningful answer to the second question)

Chai

A failed 10c/402 glide-symmetric puffer in B34t/S23:

x = 20, y = 27, rule = B34t/S23History
4$3.2D$2.D2.D$2.D.D4.3D$3.D5.D.D$9.3D6$3.2A$2.A2.A$2.A.A4.3A$3.A5.A.A
$9.3A!

Generation 65 of this pattern is Generation 1 of the R-pentomino sequence, so it makes sense that it'd be condusive to ...

Chai

A failed 10c/402 glide-symmetric puffer in B34t/S23:

Code: Select all

x = 20, y = 27, rule = B34t/S23History
4$3.2D$2.D2.D$2.D.D4.3D$3.D5.D.D$9.3D6$3.2A$2.A2.A$2.A.A4.3A$3.A5.A.A
$9.3A!

Chai

Interesting patterns in uninteresting rule B2a/S23:

x = 33, y = 52, rule = B2a/S23
25bo$24bobo$25bo2$20bo3b2o5bo$19bobo8bobo$18bobo2b2o6bo$17bobo3bo$16b
obo6bo3bo$15bobo6bobobobo$14bobo6bobo3bo$13bobo6bobo$12bobo6bobo$11bo
bo6bobo$10bobo6bobo$9bobo6bobo$8bobo6bobo$7bobo6bobo$6bobo6bobo$5bobo
6bobo ...

Chai

Chai

A caber tosser (O(log t) growth) with population 88 and expansion factor 5:

x = 43, y = 40, rule = B3acijn4cjyz5cy6an8/S2-n3-ckqy4aw5y6c7c8
2bo37bo$bobo35bobo$b2obo5bo21bo5bob2o$3bo5b2o21b2o5bo$9bo2bo17bo2bo2b
o$10b2o19b2o2bobo$37bo$13b2o13b2o$13b2o13b2o7$2o39b2o$2o39b2o10$21bo$
2b2o16bobo16b2o ...

Chai

A constructor (similar to that present in the 0hd demonoid?) which takes 2 glider streams with minimum spacing 132 and produces single channel glider pairs with a minimum spacing of 10 generations. I have no idea whether this can produce arbitrary slow salvos or not, as I've done no experimentation ...

Chai

Code: Select all

x = 32, y = 70, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
7$12bobo$13bo15$10bo$9bobo10$10bo$9bobo10$10bo$9bobo10$9b3o$9bobo8$9b
3o$9bobo!

Code: Select all

x = 13, y = 8, rule = B36/S23
10o2bo$5ob2ob4o$10ob2o$b3obo2b2ob2o$bobob4ob2o$6ob5o$o2b3ob2o2b2o$3ob
3ob5o!

Chai

Eaters for all five small spaceships (c/2o, c/3o, c/4d, c/6d, c/8d)

x = 98, y = 19, rule = B3acijn4cjyz5cy6an8/S2-n3-ckqy4aw5y6c7c8
20b2o3b2o$20b2o3b2o2$2o16b2o7b2o19b2o3b2o20b2o13b2o4b2o$2o16b2o7b2o19b
2o3b2o20b2o13b2o4b2o11$3bo19bo17b3o19bo20bo$2b3o17bobo18bo18bobo18bob
o ...

Chai

A 27c/118 diagonal puffer in the same rule:

Code: Select all

x = 36, y = 11, rule = B3-n/S23History
30.C$29.C.2C$28.2C.2C$29.C.2C$29.2C2$.2C5.C17.2C$2C6.2C3.2C11.2C6.2C$
.2C3.2C6.C$2.C3.2C4.C.C14.C.C$7.7C15.2C!

Chai

An interesting almost-converter:

Code: Select all

x = 17, y = 18, rule = B2ein3cijr4jy6i/S23-ky4citwyz
2$7b2o$6b4o6$2b2o$3b2o7bo$12b2o$2b3o$2bobo!

Chai

(Moved from RLE copy and paste thread)
Single channel operations:
4

x = 35, y = 37, rule = B3acijn4j5acy6n/S2-in3aijnr4aw5aiy6c7c8
33b2o$33b2o4$

-5

x = 13, y = 15, rule = B3acijn4j5acy6n/S2-in3aijnr4aw5aiy6c7c8
11b2o$11b2o4$8b3o$10bo$9bo5$bo$b2o$obo!

-9

x = 40, y = 41, rule ...

Chai

-4

x = 35, y = 37, rule = B3acijn4j5acy6n/S2-in3aijnr4aw5aiy6c7c8
33b2o$33b2o4$

-5

x = 13, y = 15, rule = B3acijn4j5acy6n/S2-in3aijnr4aw5aiy6c7c8
11b2o$11b2o4$8b3o$10bo$9bo5$bo$b2o$obo!

-9

x = 40, y = 41, rule = B3acijn4j5acy6n/S2-in3aijnr4aw5aiy6c7c8
$36b2o$36b2o3$34b2o$33bobo$35bo7$25b3o ...

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Re: RLE copy/paste thread - everyone else