## 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

- A

**spaceship**is a**puffer**with**no****smoke**.- March 14th, 2014, 6:23 pm
- Forum: Patterns
- Topic: Thread For Your Useless Discoveries
- Replies:
**3232** - Views:
**1276150**

### Re: Thread For Your Useless Discoveries

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
- Topic: Thread For Your Useless Discoveries
- Replies:
**3232** - Views:
**1276150**

### Re: Thread For Your Useless Discoveries

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
- Topic: Thread For Your Useless Discoveries
- Replies:
**3232** - Views:
**1276150**

### Re: Thread For Your Useless Discoveries

"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
- Topic: Thread For Your Accidental Discoveries
- Replies:
**1691** - Views:
**1170715**

### Re: Thread For Your Accidental Discoveries

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
- Topic: Thread For Your Accidental Discoveries
- Replies:
**1691** - Views:
**1170715**

### Re: Thread For Your Accidental Discoveries

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

It works just as well with 4 blocks:knightlife wrote:For example here is a way to produce an unusual still life with 5 blocks:

Code: Select all

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

- 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
- Topic: Thread For Your Own Theories of CA
- Replies:
**4** - Views:
**3534**

### Re: Thread For Your Own Theories of CA

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
- Topic: Thread For Your Accidental Discoveries
- Replies:
**1691** - Views:
**1170715**

### Re: Thread For Your Accidental Discoveries

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
- Topic: Thread for your unsure discoveries
- Replies:
**2197** - Views:
**1134325**

### Re: Thread for your unsure discoveries

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**

- 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
- Topic: Thread For Your Accidental Discoveries
- Replies:
**1691** - Views:
**1170715**

### Re: Thread For Your Accidental Discoveries

Is it worth adding this discovery I made of a parent of the R-pentomino that is five cells and fits in the same sized box as its famous child to the R-pentomino page? The page mentions grandparents and predecessors, but not this parent. x = 3, y = 3, rule = B3/S23 o$bo$3o! All the three grandparent...