ConwayLife.com

Mats

While you're at it, the wording "stable pattern" is incorrect, since the final pattern contains periodic objects (blinkers, toads, beacons). That should be reworded to "final pattern". Compare with:
https://web.archive.org/web/20160401101947/http://pentadecathlon.com/objects/common/common.php
https ...

Mats

In the 24827M article it says that the stable pattern that results from the methuselah contains (among other objects) three toads.

I claim that the stable pattern contans two toads, not three.

Thus I suggest that "three toads" is changed to "two toads".

Mats

It's a variation of Multum in parvo. Generation 7 of this pattern is the same as generation 3 of Multum in parvo.

Mats

Like this?

- A spaceship is a puffer with no smoke.

Mats

A 5x5 methuselah that lasts for 11106 generations.

Code: Select all

x = 5, y = 5, rule = B3/S23
2o$b4o$o3bo$bobo$b2o!

Mats

A 4x4 methuselah that lasts for 4616 generations.

Code: Select all

x = 4, y = 4, rule = B3/S23
3o$2obo$ob2o$bobo!

Mats

"Sketchpad" 12-cell methuselah stabilizes at generation 2564
Probably the longest-lived pattern that fits in a 4x4 square
No, it's not the longest-lived pattern to fit in a 4x4 square. Generation 2 of Multum in parvo does and stabilizes at generation 3931.
x = 4, y = 4, rule = B3/S23
3o$o2bo$ob2o ...

Mats

In a news post at pentadeclaton.com a thing called a parasite is desctibed.
Link: http://pentadecathlon.com/lifeNews/2011/01/sprouts_and_parasites.html

A northeast-directed glider has collided with this stream, causing a messy reaction. It just so happens that the reaction generates another glider ...

Mats

EDIT: A quatuor of the ultra-rare beehive at beehive in a symmetrical reaction involving shuttles!
x = 19, y = 19, rule = B3/S23
6b2obob2o2$6bo5bo2$7b2ob2o$9bo$obo13bobo$o3bo9bo3bo$4bo4bo4bo$o4bo2bob
o2bo4bo$4bo4bo4bo$o3bo9bo3bo$obo13bobo$9bo$7b2ob2o2$6bo5bo2$6b2obob2o!
They are no less than 50 ...

Mats

While trying to find methuselahs in a 10x5 bounding box I found this pattern that not only has a twin hat in its final census, but also exhibits a Pi velocity of (8,10)c/43:
x = 10, y = 5, rule = B3/S23
2b3o4bo$bobo5bo$bob2o2bo$2o4b2obo$bo3bo2bo!

The same final census in the same number of ...

Mats

knightlife wrote:For example here is a way to produce an unusual still life with 5 blocks:

It works just as well with 4 blocks:

Code: Select all

x = 21, y = 27, rule = B3/S23
8b2o$8b2o7$7b2o4b2o$7b2o4b2o$2o$2o13$18b3o$18bo$19bo!

It's really a pseudo still life though.

Mats

Here is another (the other?) 9-cell polyplet that dies in one step.
x = 5, y = 5, rule = B3/S23
bo$2bobo$b3o$obo$3bo!
I know of polyplets with 1, 2, 9, 10, 12 and 14 or more cells that die in one step. Here are examples with 10, 12, 14 and 15 cells.
x = 19, y = 18, rule = B3/S23
14bo$2b2o10bo ...

Mats

For example, imagine that we keep both the initial state in a GOL and a count of the number of iterations. The system is then exactly reversible because when at state n, we can produce state n-1 by restoring the initial state and running forward n-1 steps.
To keep a count of the number of ...

Mats

Another way that is simple from a mathematician's point of view, is to use complex numbers (Gaussian Integers) to represent the state of a cell. (or to represent the amplitude of a QM oscillator). Going forwards involved multiplying the state by an imaginary number (and rounding to a Gaussian ...

Mats

It's a pity that the initial post has been deleted. It makes my post appear "out of context", so to say.

The question asked was whether time reversible CA:s exist where the state at t+1 is only dependent on the state at time t . In fact an example of a reversible CA where the state at t+1 is ...

Mats

For a CA that is only dependent on the state at time t when the state at time t + 1 is computed you have:
b(r, t + 1) = F(N(r, t))

If the CA is time reversible you also have:
b(r, t - 1) = F(N(r, t))

So b(r, t + 1) = b(r, t - 1) for every t, which leads to N(r, t) = N(r, t - 2) for every t. And ...

Mats

Here's a hypothesis:

A. For all sufficiently large N, there are more N-cell pseudo still lifes than strict still lifes.
a1. FASLNTAM N-cell tieless pseudo still lifes than tieless strict still lifes.
a2. FASLNTAM N-cell tied pseudo still lifes than tied strict still lifes.
B. FASLNTAM N-cell tied ...

Mats

I'm sorry if I disappoint you but neither the still life nor the pulsar* is new. The still life is an eater 1 found in 1971 and the other one is a pentadecathlon found in 1970.

*Normally pulsar refers to this particular object . Objects that return to their original state after two or more ...

Mats

Some time ago I found this polyomino which turns into the same weird still life...

Code: Select all

x = 5, y = 5, rule = B3/S23
2b3o$2bo$3o$obo$2b3o!

Mats

I found a 10 cell scorpion predecessor. Or probably I rediscovered it...

Code: Select all

x = 6, y = 5, rule = B3/S23
bo$obobo$5bo$2b2obo$3bobo!

Mats

Here it is:
http://pentadecathlon.com/objects/objec ... =20.111865

Mats

Substitute "a c/4 orthogonal spaceship" for every occurrence of LWSS and it should make more sense. I'm sorry but I'm still having problems understanding your argument. After substitution you get: "the glider's travel is always less than or equal to the c/4 ortogonal spaceship's travel time." In L ...

Mats

IMHO the matter is settled for CGoL:

The most appropriate metric is L_1! This is because the proof of the speed limit is based on the fastest possible advance of a diagonal line. Please look up the details in other forum threads.

In that sense the glider is as fast as an LWSS.
This is simply ...

Mats

quintopia: I'm having trouble following your argument. Is it an argument for L_1 or for L_inf? Or is it a mixture of both? You wrote: "Thus, the glider's travel is always less than or equal to the LWSS's travel time." In L_inf it's "less than" and in L_1 it's "equal". Exactly what do you mean by ...

Mats

137ben: I can't see why my sorting is more awkward or more arbitrary than a sorting based on Manhattan metric in a Moore neighbourhood.

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Re: Suggested LifeWiki edits

Re: Suggested LifeWiki edits

Re: New simple methuselah

Re: Generalization of the concept of "spaceship"

Re: Thread For Your Useless Discoveries

Re: Thread For Your Useless Discoveries

Re: Thread For Your Useless Discoveries

Re: 4c/83 growing wick (p150)

Re: Thread For Your Accidental Discoveries

Re: Thread For Your Accidental Discoveries

Re: Blockic Seeds

Re: Grid that dies in one step

Re: cellular automata

Re: cellular automata

Re: cellular automata

Re: reversible cellular automata

Re: Thread For Your Own Theories of CA

Re: NEW STILL LIFE & PULSAR

Re: Thread For Your Accidental Discoveries

Re: Thread for your unsure discoveries

Re: Missing Object in Catalog

Re: Smallest slowest spaceship?

Re: Smallest slowest spaceship?

Re: Smallest slowest spaceship?

Re: Smallest slowest spaceship?