Challenges

[confocaloid]

Challenge:
in a non-alternating, non-B0 rule, find a spaceship/oscillator that has at least 1 generation of no birth and no death AT THE SAME TIME.
(Hint:this must be a generations rule.)

I do not have a working example, but there might be a 3-state modification of Life where the pi-heptomino would be a spaceship with these three consecutive phases:

Code: Select all

x = 24, y = 5, rule = nameless_rule
2B8.2B8.2B$B.A7.B.B7.B.B$2.B9.B9.BA$B.A7.B.B7.B.B$2B8.2B8.2B!

@RULE nameless_rule
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute

[toroidalet]

You can find a few here and here. There's also one on the interesting replicators thread that I don't care to find.

[breaker's glider gun]

adjusted challenge: at DIFFERENT points!
| >;
v

[squareroot12621]

adjusted challenge: at DIFFERENT points!

B3/S23 beacon.
Generation 0 % 2: No birth.
Generation 1 % 2: No death.

Code: Select all

x = 4, y = 4, rule = B3/S23
2o$o$3bo$2b2o!

[toroidalet]

This one has no birth or death in 3 separate intervals:

Code: Select all

x = 6, y = 3, rule = 1c23-y4c5e6c/34e6in/15
.A.2A$A.AMLA$.A.2A!

5 times (EDIT: nope, only 3. If you increase the generations to 16, it has 4, and at 28 it has 5):

Code: Select all

x = 23, y = 16, rule = 1c23-ny5e6c/34e6i/15
2.A17.A$.ABA15.ABA$.ABA15.ABA$11.A$10.ABA$.A.A6.ABA6.A.A$2.A17.A2$10.
A.A$11.A2$.A.A15.A.A$A3.A13.A3.A2$10.A.A$9.A3.A!

Both of these rules are from here (The first one is from "Another related rule which isn't explosive"/"But what a disappointment when you find it is nonetheless explosive" and the second is corderized from "A related rule")

[Citation needed]

ColorfulGalaxy found that the nine distinct 3-cell Garden of Eden patterns (seen as 1-cell-high prisms) in Life without Death rule can fit into a 3x3x3 cube. (citation needed)

Code: Select all

x rule = LifeColorful
ADA$
BDC$
BDC$
$
E2F$
F2G$
EGE$
$
HAC$
BIH$
IHI$!

[GUYTU6J]

Here is a period-1022 Margolus oscillator rendered in state 9 of Super mode.

Code: Select all

x = 35, y = 35, rule = B2c/SSuper
17.J$16.J.J$15.J.J.J$14.J.J.J.J$13.J.J.J.J.J$12.J.J.J.J.J.J$11.J.J.J.
J.J.J.J$10.J.J.J.J.J.J.J.J$9.J.J.J.J.J.J.J.J.J$8.J.J.J.J.J.J.J.J.J.J$
7.J.J.J.J.J.J.J.J.J.J.J$6.J.J.J.J.J.J.J.J.J.J.J.J$5.J.J.J.J.J.J.J.J.J
.J.J.J.J$4.J.J.J.J.J.J.J.J.J.J.J.J.J.J$3.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J$2.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J$.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J$I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I$.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J.J$2.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J$3.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J
$4.J.J.J.J.J.J.J.J.J.J.J.J.J.J$5.J.J.J.J.J.J.J.J.J.J.J.J.J$6.J.J.J.J.
J.J.J.J.J.J.J.J$7.J.J.J.J.J.J.J.J.J.J.J$8.J.J.J.J.J.J.J.J.J.J$9.J.J.J
.J.J.J.J.J.J$10.J.J.J.J.J.J.J.J$11.J.J.J.J.J.J.J$12.J.J.J.J.J.J$13.J.
J.J.J.J$14.J.J.J.J$15.J.J.J$16.J.J$17.J!

Pick a phase of this oscillator, set generation to 0, and change one (1) state-9 cell to state 1. The challenge is to maximize time duration with both type of history/off-trail cells present. Consider extinction of state-2 cells and extinction of state-10 cells separately.

[confocaloid]

State 10 can disappear at T = 55:

Code: Select all

x = 35, y = 35, rule = B2c/SSuper
17.J$16.J.J$15.J.J.J$14.J.J.J.J$13.J.J.J.J.J$12.J.J.J.J.J.J$11.J.J.J.
J.J.J.J$10.J.J.J.J.J.J.J.J$9.J.J.J.J.J.J.J.J.J$8.J.J.J.J.J.J.J.J.J.J$
7.J.J.J.J.J.J.J.J.J.J.J$6.J.J.J.J.J.J.J.J.J.J.J.J$5.J.J.J.J.J.J.J.J.J
.J.J.J.J$4.J.J.J.J.J.J.J.J.J.J.J.J.J.J$3.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J$2.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J$.A.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.
I$J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J$.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.
I.I$2.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J$3.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J
$4.J.J.J.J.J.J.J.J.J.J.J.J.J.J$5.J.J.J.J.J.J.J.J.J.J.J.J.J$6.J.J.J.J.
J.J.J.J.J.J.J.J$7.J.J.J.J.J.J.J.J.J.J.J$8.J.J.J.J.J.J.J.J.J.J$9.J.J.J
.J.J.J.J.J.J$10.J.J.J.J.J.J.J.J$11.J.J.J.J.J.J.J$12.J.J.J.J.J.J$13.J.
J.J.J.J$14.J.J.J.J$15.J.J.J$16.J.J$17.J!

State 2 can disappear at T = 28:

Code: Select all

x = 35, y = 35, rule = B2c/SSuper
17.J$16.J.J$15.I.A.I$14.J.J.J.J$13.J.I.I.I.J$12.J.J.J.J.J.J$11.J.J.I.
I.I.J.J$10.J.J.J.J.J.J.J.J$9.J.J.J.I.I.I.J.J.J$8.J.J.J.J.J.J.J.J.J.J$
7.J.J.J.J.I.I.I.J.J.J.J$6.J.J.J.J.J.J.J.J.J.J.J.J$5.J.J.J.J.J.I.I.I.J
.J.J.J.J$4.J.J.J.J.J.J.J.J.J.J.J.J.J.J$3.J.J.J.J.J.J.I.I.I.J.J.J.J.J.
J$2.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J$.J.J.J.J.J.J.J.I.I.I.J.J.J.J.J.J.
J$J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J$.J.J.J.J.J.J.J.I.I.I.J.J.J.J.J.
J.J$2.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J$3.J.J.J.J.J.J.I.I.I.J.J.J.J.J.J
$4.J.J.J.J.J.J.J.J.J.J.J.J.J.J$5.J.J.J.J.J.I.I.I.J.J.J.J.J$6.J.J.J.J.
J.J.J.J.J.J.J.J$7.J.J.J.J.I.I.I.J.J.J.J$8.J.J.J.J.J.J.J.J.J.J$9.J.J.J
.I.I.I.J.J.J$10.J.J.J.J.J.J.J.J$11.J.J.I.I.I.J.J$12.J.J.J.J.J.J$13.J.
I.I.I.J$14.J.J.J.J$15.I.I.I$16.J.J$17.J!

[GUYTU6J]

State 10 disappears at generation 76:

Code: Select all

x = 35, y = 35, rule = B2c/SSuper
17.J$16.I.I$15.J.J.J$14.J.I.I.J$13.J.J.J.J.J$12.J.J.I.I.J.J$11.J.J.J.
J.J.J.J$10.J.J.J.I.I.J.J.J$9.J.J.J.J.J.J.J.J.J$8.I.I.I.I.J.J.I.I.I.I$
7.J.J.J.J.J.J.J.J.J.J.J$6.J.I.I.I.I.J.J.I.I.I.I.J$5.J.J.J.J.J.J.J.J.J
.J.J.J.J$4.J.J.I.I.I.I.J.J.I.I.I.I.J.J$3.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J$2.I.I.I.J.J.J.J.I.I.J.J.J.J.I.I.I$.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J$J.I.I.I.J.J.J.J.I.I.J.J.J.J.I.I.A.J$.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J.J$2.I.I.I.J.J.J.J.I.I.J.J.J.J.I.I.I$3.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J
$4.J.J.I.I.I.I.J.J.I.I.I.I.J.J$5.J.J.J.J.J.J.J.J.J.J.J.J.J$6.J.I.I.I.
I.J.J.I.I.I.I.J$7.J.J.J.J.J.J.J.J.J.J.J$8.I.I.I.I.J.J.I.I.I.I$9.J.J.J
.J.J.J.J.J.J$10.J.J.J.I.I.J.J.J$11.J.J.J.J.J.J.J$12.J.J.I.I.J.J$13.J.
J.J.J.J$14.J.I.I.J$15.J.J.J$16.I.I$17.J!

The pattern has a one-cell-thick phase at T=287.

[breaker's glider gun]

State 10 disappears at generation 76:

Code: Select all

x = 35, y = 35, rule = B2c/SSuper
17.J$16.I.I$15.J.J.J$14.J.I.I.J$13.J.J.J.J.J$12.J.J.I.I.J.J$11.J.J.J.
J.J.J.J$10.J.J.J.I.I.J.J.J$9.J.J.J.J.J.J.J.J.J$8.I.I.I.I.J.J.I.I.I.I$
7.J.J.J.J.J.J.J.J.J.J.J$6.J.I.I.I.I.J.J.I.I.I.I.J$5.J.J.J.J.J.J.J.J.J
.J.J.J.J$4.J.J.I.I.I.I.J.J.I.I.I.I.J.J$3.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J$2.I.I.I.J.J.J.J.I.I.J.J.J.J.I.I.I$.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J$J.I.I.I.J.J.J.J.I.I.J.J.J.J.I.I.A.J$.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J.J$2.I.I.I.J.J.J.J.I.I.J.J.J.J.I.I.I$3.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J
$4.J.J.I.I.I.I.J.J.I.I.I.I.J.J$5.J.J.J.J.J.J.J.J.J.J.J.J.J$6.J.I.I.I.
I.J.J.I.I.I.I.J$7.J.J.J.J.J.J.J.J.J.J.J$8.I.I.I.I.J.J.I.I.I.I$9.J.J.J
.J.J.J.J.J.J$10.J.J.J.I.I.J.J.J$11.J.J.J.J.J.J.J$12.J.J.I.I.J.J$13.J.
J.J.J.J$14.J.I.I.J$15.J.J.J$16.I.I$17.J!

Cool! state 9 dies at 67.
|
V

[toroidalet]

State 10 disappears at generation 76:

Code: Select all

x = 35, y = 35, rule = B2c/SSuper
17.J$16.I.I$15.J.J.J$14.J.I.I.J$13.J.J.J.J.J$12.J.J.I.I.J.J$11.J.J.J.
J.J.J.J$10.J.J.J.I.I.J.J.J$9.J.J.J.J.J.J.J.J.J$8.I.I.I.I.J.J.I.I.I.I$
7.J.J.J.J.J.J.J.J.J.J.J$6.J.I.I.I.I.J.J.I.I.I.I.J$5.J.J.J.J.J.J.J.J.J
.J.J.J.J$4.J.J.I.I.I.I.J.J.I.I.I.I.J.J$3.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J$2.I.I.I.J.J.J.J.I.I.J.J.J.J.I.I.I$.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J$J.I.I.I.J.J.J.J.I.I.J.J.J.J.I.I.A.J$.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J.
J.J$2.I.I.I.J.J.J.J.I.I.J.J.J.J.I.I.I$3.J.J.J.J.J.J.J.J.J.J.J.J.J.J.J
$4.J.J.I.I.I.I.J.J.I.I.I.I.J.J$5.J.J.J.J.J.J.J.J.J.J.J.J.J$6.J.I.I.I.
I.J.J.I.I.I.I.J$7.J.J.J.J.J.J.J.J.J.J.J$8.I.I.I.I.J.J.I.I.I.I$9.J.J.J
.J.J.J.J.J.J$10.J.J.J.I.I.J.J.J$11.J.J.J.J.J.J.J$12.J.J.I.I.J.J$13.J.
J.J.J.J$14.J.I.I.J$15.J.J.J$16.I.I$17.J!

No, I think you flipped the number around. It's 67.

No, state 10 is the dead history cell. One survives at the far left corner until 74, and another just a bit to the right is extinguished in generation 76.

[pzq_alex]

Find a non-rock catalysis for this still life:

Code: Select all

x = 7, y = 8, rule = B3/S23
2b2o$bob3o$o5bo$2ob3o$bobo$bo2b2o$2b2o2bo$5b2o!

[hotcrystal0]

Related to self-describing pattern: make a self describing apgcode. "xp0_nogliders" works but its kind of cheating

Does xp0_blinker work?
I didn't find this, I remembered this from another thread, but I forgot where...

After xp0_blinker, there are no more apgcodes in which a stable object's name yields the original object, let alone yield it cleanly. I did this a while ago and got to xp0_cismirroredrbee before giving up.

how about xp0_justablock?

[toroidalet]

Related to self-describing pattern: make a self describing apgcode. "xp0_nogliders" works but its kind of cheating

Does xp0_blinker work?
I didn't find this, I remembered this from another thread, but I forgot where...

After xp0_blinker, there are no more apgcodes in which a stable object's name yields the original object, let alone yield it cleanly. I did this a while ago and got to xp0_cismirroredrbee before giving up.

You didn't look long enough. While this pattern does not evolve into the still life it describes, it should at least show that there is a still life which is produced by the apgcode of its English name and give you some idea of how to find one.

[Hdjensofjfnen]

You didn't look long enough. While this pattern does not evolve into the still life it describes, it should at least show that there is a still life which is produced by the apgcode of its English name and give you some idea of how to find one.

I was searching for trivial examples at the time. Rather than pulling up a three-year-old post to criticize my methodology, it might be more productive to try to construct such a still life yourself.