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knightlife

calcyman wrote: I'm pleased that this work has come to fruition!

It's awesome, this was the Holy Grail that inspired my screen name

knightlife

Thanks, calcyman, this is the "White Knight" that saved the day for elementary knightships. (I know it is too late to suggest a name). This sparks my interest in CA again.

knightlife

Also, who can find the first bug in Bugs Range 50? (Convert using my script/Dean Hickerson's algorithm)
Here's one:
#C Symmetric spaceship that moves southeast with speed 3000/929 ~ 3.229
x = 92, y = 92, rule = R50,C0,M1,S2866..4890,B2866..3794,NM
36b14o$33b20o$31b24o$...

Merging two of these ...

knightlife

Can this be done with 4 gliders?

Code: Select all

x = 109, y = 95, rule = B3/S23
obo$b2o$bo44$106bo$106bobo$106b2o11$74bo$72bobo$73b2o$69b2o$68bobo$70b
o28$53b2o$52bobo$54bo!

knightlife

8-cells, 17x11 bounding box:
x = 17, y = 11, rule = B3/S23
15b2o$14b2o$15bo8$3o!

Lasts 8268 generations but starts as two objects, R plus blinker

I prefer methuselahs where all cells are connected orthogonally and/or diagonally (polyplet)

Challenge: find a long lasting methuselah that is a ...

knightlife

8-cell 4x5 bounding box:

Code: Select all

x = 5, y = 4, rule = B3/S23
3bo$4bo$4bo$5o!

601 gen "methuselah"

knightlife

A diagonal line "runs over" a domino:
x = 28, y = 11, rule = Langtons-Ant
2A8$13.2D$13.2D$5.A21.A!

Pattern recovers from stray dot collision sometimes:
x = 42, y = 100, rule = Langtons-Ant
12.A8$8.2D$8.2D$A31.A47$A3$13.2D$13.2D$5.A19.A27$A8$13.2D$13.2D$5.A
35.A!

EDIT:
more complex recovery ...

knightlife

Universality can be reached with the following gates:
x = 162, y = 163, rule = BTCA1
33.BA92.B$3.B28.3BA90.BA2B$2.BA2B27.3B89.BA2B30.B$.BA2B29.B91.3B28.2B
AB$2.3B121.B31.2BAB$2.B155.3B$160.B6$29.A$27.3A$28.3A$28.A9$13.A$13.
3A8.A$12.3A7.3A107.A$14.A8.3A104.3A$23.A107.3A$131.A36$127.B$126.BA2B
$125 ...

knightlife

This glider duplicator can duplicate glider streams:
x = 86, y = 52, rule = BTCA1
34.AB$33.A3B$33.3B$34.B4$13.A$11.3A$12.3A$12.A2$19.A$17.3A6.A$18.3A5.
3A$18.A6.3A$27.A$.A30.A$.3A26.3A28.A$3A28.3A25.3A$2.A28.A28.3A4.A$60.
A4.3A$66.3A$66.A5.A$38.A31.3A$36.3A32.3A$37.3A31.A$37.A2$74.A$72.3A$
73.3A$73 ...

knightlife

Found a true p2 glider duplicator:
x = 44, y = 34, rule = BTCA1
11.B$10.BA2B$9.BA2B$10.3B$10.B2$28.A$28.3A$27.3A$5.A23.A$5.3A$5.A26.A
$30.3A$31.3A$31.A$3A$.A$.A$38.A$38.3A$37.3A$39.A3$13.A28.A$13.3A24.3A
$12.3A9.A16.3A$14.A7.3A16.A$23.3A$23.A$29.A$29.A6.A$28.3A5.A$35.3A!

One output is an exact ...

knightlife

A backrake (needs cleanup) turns into a clean p72 rake by adding 2 gliders to the floatilla:
x = 48, y = 87, rule = BTCA1
29.BA14.A.A$29.3A14.2A$30.A4.A.A4.B2.3A$36.2A3.2B.B$35.3A5.2B$42.3B$
39.A.A$40.2A$39.3A40$.A$AB2A$.2A$.A8$17.A$16.AB2A$17.2A$17.A16$8.BA
14.A.A$8.3A14.2A$9.A4.A.A4.B2.3A$15.2A3 ...

knightlife

Here is a 180 degree p2 reflector:
x = 83, y = 85, rule = BTCA1
7.A$7.A6.A$6.3A5.A$13.3A4$.A$.3A$3A$2.A4$4.A$2.3A$3.3A$3.A24.A$26.3A$
27.3A$10.A16.A$10.3A$10.A8$16.3A$17.A$17.A19$50.B$49.BA2B$48.BA2B$49.
3B12.3A$49.B15.A$65.A7$71.A$71.3A$54.A16.A$54.3A$53.3A$55.A22.A$78.3A
$77.3A$79.A4$81.A$79.3A ...

knightlife

Found a simple 90 degree reflector!
x = 33, y = 35, rule = BTCA1
26.A$24.3A$18.A6.3A$18.3A4.A$17.3A$19.A$32.A$30.3A$32.A4$28.A$28.3A$
27.3A$29.A5$24.A$22.3A$24.A8$.B$.3B$BA2B$.BA2B$2.B!

EDIT:
This 90 degree reflector converts big glider to small glider and is even simpler:
x = 35, y = 34, rule ...

knightlife

Found a p108 gun:
x = 45, y = 43, rule = BTCA1
27.B$27.3B$27.B2$34.B$34.3B$33.3B$35.B5$26.A$24.2AB2A$24.2AB3A$23.3AB
3A$18.3A6.3BA$19.2A.4A.3A$18.2AB5A.3A4.B7.A$20.A2.3A.A6.3B4.AB2A$19.
4A.2A7.3B4.AB2A$18.5A.A10.B5.3A$19.AB3AB2A14.A$17.6A.3A$17.3A.A2.A.A$
17.3A5$2.B$3B$.3B$.B6$10.B$10.3B$9.3B$11.B ...

knightlife

Found (many) pinwheel terminations for p108 oscillator and a p108 wick:
x = 204, y = 374, rule = BTCA1
11.B$9.3B$10.3B$10.B6$.B$.3B$3B$2.B4$17.3A$16.4A$16.3AB$16.2AB3A$19.
2A$19.A24$47.A$46.2A$45.3AB2A$47.B3A$47.4A$47.3A20$71.3A$70.4A$70.3AB
$70.2AB3A$73.2A$73.A24$101.A$100.2A$99.3AB2A$101.B3A$101 ...

knightlife

28-bit still life from honeyfarms and blocks with glider cleanup:

Code: Select all

x = 36, y = 9, rule = B3/S23
17b2o$obo7bo6b2o6bo7bobo$b2o6b3o12b3o6b2o$bo6b2ob2o10b2ob2o6bo$7b3ob3o
8b3ob3o$8b2ob2o10b2ob2o$9b3o12b3o$10bo6b2o6bo$17b2o!

knightlife

There is the accidental discovery and then there is the engineering feat. Either way you may need a little luck!

knightlife

Make oscillator with 7 times gun period:
x = 49, y = 54, rule = BTCA1
13.A$11.3A$12.3A$.A10.A$.3A$3A2.B$2.A2.3B$4.3B12.A$6.B10.3A$18.3A$18.
A7$8.A$6.3A$7.3A$7.A2$43.A$43.3A$42.3A$44.A5$39.A$37.3A$38.3A$38.A$
26.B18.3B$22.A3.3B15.2BA2B$22.3A.2B16.BABAB$21.3A3.B16.2BA2B$23.A15.
3B3.3B$38.3B$38.3B$38 ...

knightlife

It is still possible to make discoveries by being extremely observant and being able to recognize patterns that can be ignored because they are commonplace. Endless patience and trial and error are necessary if searching manually, which is what I have preferred to do so far, just because it's more ...

knightlife

2 pi + blinker ----> 52-bit still life:

Code: Select all

x = 26, y = 47, rule = B3/S23
2bo$obo$b2o2$23bo$23bobo$23b2o8$9bobo$10b2o$10bo7bo$16b2o$17b2o22$23b
2o$23bobo$23bo2$b2o$obo$2bo!

knightlife

A wierd way to make a big glider from two small ones:
(normally 2 small gliders can't make a big one with a simple collision)
x = 54, y = 45, rule = BTCA1
16.3B$14.7B$13.9B$12.3B2AB2A3B$12.2BA.B.B.A2B$11.3BA5BA3B$11.4B.BAB.
4B$11.3BA5BA3B$12.2BA.B.B.A2B$12.3B2AB2A3B$13.9B$14.7B$16.3B29$52.B$.
B49 ...

knightlife

A compound p270 big-glider gun I made is used to quintuple a small-glider gun's period from p54 to p270 to make a matching p270 small-glider gun:
x = 94, y = 125, rule = BTCA1
72.B$70.5B$69.3BA3B$68.2BABABA2B$68.3B3.3B$67.2B2A3.2A2B$68.3B3.3B7.A
$60.A7.2BABABA2B7.3A$59.2A8.3BA3B7.3A$61.A8.5B10.A$72 ...

knightlife

I found this very unusual converter with a delay element:
x = 40, y = 24, rule = BTCA1
AB$3B$.B7$32.B$32.B$30.5B$30.5B$31.3B$27.2B2.ABA2.2B$27.3BA3BA3B$25.
15B$27.3BA3BA3B$27.2B2.ABA2.2B$31.3B$30.5B$30.5B$32.B$32.B!

The small glider becomes a p2 pinwheel (what I call it) for a few gens then ...

knightlife

Assuming CGOL and randomness per bit (therefore 50% density) I find that the simple population metric is enough to tell the first few generations (even 50 gen) because there is a consistent monotonic decrease in the population with a large enough sample size. The population drops by certain ...

knightlife

Awesome! Congrats to Ivan Fomichev for finding the means to the end. Pattern of the Year should be revived as this is a great year for awesome patterns. Now I need to get going with my next discovery since I'm done with overtime and have some extra time.

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