## Search found 42 matches

August 1st, 2014, 4:54 pm
Forum: Patterns
Topic: New simple methuselah
Replies: 2
Views: 2891

### Re: New simple methuselah

It's a variation of Multum in parvo. Generation 7 of this pattern is the same as generation 3 of Multum in parvo.
April 27th, 2014, 12:23 pm
Forum: General Discussion
Topic: Generalization of the concept of "spaceship"
Replies: 7
Views: 5155

### Re: Generalization of the concept of "spaceship"

Like this?

- A spaceship is a puffer with no smoke.
March 14th, 2014, 6:23 pm
Forum: Patterns
Replies: 3232
Views: 1276150

A 5x5 methuselah that lasts for 11106 generations.

Code: Select all

x = 5, y = 5, rule = B3/S23
2o\$b4o\$o3bo\$bobo\$b2o!
March 6th, 2014, 6:48 pm
Forum: Patterns
Replies: 3232
Views: 1276150

A 4x4 methuselah that lasts for 4616 generations.

Code: Select all

x = 4, y = 4, rule = B3/S23
3o\$2obo\$ob2o\$bobo!
February 10th, 2014, 3:42 pm
Forum: Patterns
Replies: 3232
Views: 1276150

"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\$3...
October 3rd, 2013, 3:33 am
Forum: Patterns
Topic: 4c/83 growing wick (p150)
Replies: 27
Views: 20453

### Re: 4c/83 growing wick (p150)

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, ...
September 20th, 2013, 4:10 pm
Forum: Patterns
Replies: 1691
Views: 1170715

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 tim...
July 7th, 2013, 3:13 am
Forum: Patterns
Replies: 1691
Views: 1170715

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 generati...
June 24th, 2013, 2:53 pm
Forum: Patterns
Topic: Blockic Seeds
Replies: 87
Views: 83014

### Re: Blockic Seeds

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.
May 3rd, 2013, 3:27 am
Forum: General Discussion
Topic: Grid that dies in one step
Replies: 7
Views: 3953

### Re: Grid that dies in one step

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\$6o6b4o...
April 1st, 2013, 2:15 am
Forum: Other Cellular Automata
Topic: cellular automata
Replies: 8
Views: 4525

### Re: cellular automata

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 iteration...
March 31st, 2013, 3:34 am
Forum: Other Cellular Automata
Topic: cellular automata
Replies: 8
Views: 4525

### Re: cellular automata

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 integ...
March 30th, 2013, 2:28 pm
Forum: Other Cellular Automata
Topic: cellular automata
Replies: 8
Views: 4525

### Re: cellular automata

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 depende...
March 17th, 2013, 5:19 am
Forum: Other Cellular Automata
Topic: cellular automata
Replies: 8
Views: 4525

### Re: reversible cellular automata

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 that...
March 11th, 2013, 6:28 pm
Forum: General Discussion
Replies: 4
Views: 3534

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 s...
March 9th, 2013, 5:50 pm
Forum: Patterns
Topic: NEW STILL LIFE & PULSAR
Replies: 2
Views: 2700

### Re: NEW STILL LIFE & PULSAR

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 generatio...
February 21st, 2013, 4:40 pm
Forum: Patterns
Replies: 1691
Views: 1170715

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!
November 7th, 2012, 3:01 pm
Forum: Patterns
Replies: 2197
Views: 1134325

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!
July 20th, 2012, 4:53 pm
Forum: Patterns
Topic: Missing Object in Catalog
Replies: 10
Views: 10188

### Re: Missing Object in Catalog

April 9th, 2011, 6:24 am
Forum: Other Cellular Automata
Topic: Smallest slowest spaceship?
Replies: 27
Views: 20241

### Re: Smallest slowest spaceship?

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_...
April 9th, 2011, 6:03 am
Forum: Other Cellular Automata
Topic: Smallest slowest spaceship?
Replies: 27
Views: 20241

### Re: Smallest slowest spaceship?

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 wrong!...
April 9th, 2011, 2:35 am
Forum: Other Cellular Automata
Topic: Smallest slowest spaceship?
Replies: 27
Views: 20241

### Re: Smallest slowest spaceship?

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 "al...
April 8th, 2011, 4:17 pm
Forum: Other Cellular Automata
Topic: Smallest slowest spaceship?
Replies: 27
Views: 20241

### Re: Smallest slowest spaceship?

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.
April 8th, 2011, 2:15 am
Forum: Other Cellular Automata
Topic: Smallest slowest spaceship?
Replies: 27
Views: 20241

### Re: Smallest slowest spaceship?

I would like a sorting that is neither L-infinity nor Manhattan metric. Like this: Place the spaceship so that Vx >= Vy. A speed (Vx 1 ,Vy 1 ) > (Vx 2 ,Vy 2 ) iff - Vx 1 > Vx 2 or - Vx 1 = Vx 2 and Vy 1 > Vy 2 This means that a LWSS is faster than a glider. In Manhattan metric they have the same spe...
April 1st, 2011, 2:05 am
Forum: Patterns