## Search found 1832 matches

- May 3rd, 2020, 3:56 pm
- Forum: Patterns
- Topic: The Hunting of the New Herschel Conduits
- Replies:
**987** - Views:
**727875**

### Re: The Hunting of the New Herschel Conduits

HL161H with new edgy SW glider output (shown here with an HF116H tacked on the end): x = 83, y = 71, rule = LifeHistory 31.2A$31.A.A$33.A4.2A$29.4A.2A2.A2.A$29.A2.A.A.A.A.2A$32.A.A.A.A$33. 2A.A.A$37.A2$23.2A$24.A7.2A$24.A.A5.2A$25.2A2$54.A$52.3A$51.A$51.2A2$ 15.2A18.2A$16.A18.A23.2A$14.A21.3A21.A$14...

- April 17th, 2020, 6:14 pm
- Forum: Patterns
- Topic: Smaller Pi Calculator Challenge
- Replies:
**83** - Views:
**8498**

### Re: Smaller Pi Calculator Challenge

Assorted unfinished components for an ND-READ tape: x = 7309, y = 1136, rule = LifeHistory 6387.2C$6387.2C9$.2A$.2A7$9.2A$9.2A$6411.3A$6411.A$6412.A4$17.2A$17. 2A7$4.2D19.2A$4.2D19.2A2$3312.2A$2C3310.2A$2C3$33.2A$33.2A$4100.2A$ 3320.2A778.2A$3320.2A3$5106.2C$41.2A5063.2C$41.2A$4108.2A$3328.2A778. 2A...

- April 13th, 2020, 7:55 pm
- Forum: Patterns
- Topic: Smaller Pi Calculator Challenge
- Replies:
**83** - Views:
**8498**

### Re: Smaller Pi Calculator Challenge

Ideally what seems to be needed is a cheap seed constellation that, when hit by a glider, directly returns a 180-degree glider, or two 180-degree gliders if some still life is present off to the side on the binary tape. Does the constant-return glider even need to emerge in the same reaction as the...

- April 9th, 2020, 12:50 am
- Forum: Patterns
- Topic: Smaller Pi Calculator Challenge
- Replies:
**83** - Views:
**8498**

### Re: Smaller Pi Calculator Challenge

This data storage and retrieval question has come up many times before. Are there better existing solutions for extending a data tape into empty space, that I've managed to forget all about? Or would anyone be interested in coming up with something new that improves on this 75-glider total cost? Th...

- April 6th, 2020, 3:11 pm
- Forum: Patterns
- Topic: Smaller Pi Calculator Challenge
- Replies:
**83** - Views:
**8498**

### Re: Smaller Pi Calculator Challenge

EDIT: Here's a design I came up with for zooms up to 2^7, with the added bonus of hexadecimal output... Okay, here's my current printer-builder script. For the moment, the character bitmaps loaded into the printer are hard-coded at the top of the script, in LifeHistory format, following the pattern...

- April 4th, 2020, 4:56 pm
- Forum: Patterns
- Topic: Smaller Pi Calculator Challenge
- Replies:
**83** - Views:
**8498**

### Re: Smaller Pi Calculator Challenge

If anyone would like to dig up or invent a less amateur-looking font for a digitprinter, please post it here. Can be fixed-width or proportional, doesn't matter, and it doesn't have to be 15x19 -- any size in that general vicinity would be fine. The main thing is that when the pixels are printed di...

- April 4th, 2020, 3:30 pm
- Forum: Patterns
- Topic: Small Spaceship Syntheses
- Replies:
**438** - Views:
**343966**

### Re: Small Spaceship Syntheses

Using that and combining Extrementhusiast's method and the method currently on Catagolue results in the following 161G synthesis: RLE I think it should be 159 gliders, excluding Kazyan's recent improvement, as you left out the following improvement I made: x = 32, y = 32, rule = B3/S23 o$obo$2o4bo$...

- April 3rd, 2020, 9:00 pm
- Forum: Patterns
- Topic: Small Spaceship Syntheses
- Replies:
**438** - Views:
**343966**

### Re: Small Spaceship Syntheses

An independent solution: x = 2531, y = 82, rule = B3/S23 229bobo$229b2o$230bo12$2448bobo$2448b2o$2449bo2$1678bo768bo$1666bo9b2o 767b2o$1664b2o11b2o767b2o5bobo$1665b2o762bo23b2o$2430bo23bo$205bo1458b o7bo755b3o$203bobo1459bo4b2o764bo20bobo8bo$204b2o1332bo124b3o5b2o762bo 21b2o7b2o$1041bobo434bo60bo66b...

- March 25th, 2020, 8:22 pm
- Forum: Patterns
- Topic: Small Spaceship Syntheses
- Replies:
**438** - Views:
**343966**

### Re: Small Spaceship Syntheses

Hmmmmmm.......... Something is wrong.......... RLE Quick fix: x = 5660, y = 110, rule = B3/S23 5552bobo$5555bo$5551bo3bo$5555bo$5552bo2bo$5553b3o2$5563b2o$5563b3o$ 5562bob2o$5562b3o$5563bo2$5593bo$5592bo$5592b3o$5530bo40bo$5531bo37b2o $5529b3o29bobo6b2o$5544bo15bo34bo$5371bo170bobo15bo33bo$5369bobo...

- March 25th, 2020, 7:10 pm
- Forum: Patterns
- Topic: Small Spaceship Syntheses
- Replies:
**438** - Views:
**343966**

### Re: Small Spaceship Syntheses

Sweeeeeeeeeet. There's a section in that synthesis where the block's conversion into the two carrier heads is skipped, but the swap-in using the double worm is a matter of copy-and-paste--which I've given to the nonmagical box along with the rest of the synthesis. Now to see if it works! No, it's a...

- March 25th, 2020, 5:22 pm
- Forum: Patterns
- Topic: Small Spaceship Syntheses
- Replies:
**438** - Views:
**343966**

### Re: Small Spaceship Syntheses

But why not add the whole spaceship all at once? x = 5560, y = 110, rule = B3/S23 5452bobo$5455bo$5451bo3bo$5455bo$5452bo2bo$5453b3o2$5463b2o$5463b3o$ 5462bob2o$5462b3o$5463bo2$5493bo$5492bo$5492b3o$5430bo40bo$5431bo37b2o $5429b3o29bobo6b2o$5444bo15bo34bo$5271bo170bobo15bo33bo$5269bobo171b2o 15bo2bo...

- March 21st, 2020, 7:43 pm
- Forum: Patterns
- Topic: Synthesising Oscillators
- Replies:
**1045** - Views:
**766363**

### Re: Synthesising Oscillators

66P13 and its bigger variant in 86 gliders each... Nice! Is the route a result of something like a retrosynthesis? As a synthesis apprentice I've wondered a lot. The procedure I use is a bit complicated, although it ultimately boils down to "subdivide and conquer". If the final object isn't stable,...

- March 20th, 2020, 8:02 pm
- Forum: Patterns
- Topic: Synthesising Oscillators
- Replies:
**1045** - Views:
**766363**

### Re: Synthesising Oscillators

66P13 and its bigger variant in 86 gliders each: x = 1224, y = 69, rule = B3/S23 1174bo$1169bo4bobo$1167b2o5b2o$1168b2o4$1154bo$1155bo$1153b3o64bo$ 1157bo60b3o$1157bobo57bo$1147bo9b2o58b2o$1148b2o$1147b2o66bo$1214b3o$ 1213b2ob2o$1213b2ob2o$1170bo43b3o$1164b3o2b2o44bo$596bobo25bo523bo11bo 3bo4bobo37b...

- March 8th, 2020, 3:29 pm
- Forum: Patterns
- Topic: Synthesising Oscillators
- Replies:
**1045** - Views:
**766363**

### Re: Synthesising Oscillators

Well, while we're on the improvement train, here's a massive reduction to negentropy: x = 523, y = 60, rule = B3/S23 311bo$310bo$310b3o4$300bo$298bobo$299b2o2$301bo$301bobo$284bobo14b2o$ 285b2o$285bo2$290bo15bo$291b2o11b2o$28bo261b2o13b2o65bo$29bo3bo30b2o 22bo46bo237bo$27b3ob2o30bo2bo19bobo47bo234b3...

- March 2nd, 2020, 12:20 am
- Forum: Patterns
- Topic: Synthesising Oscillators
- Replies:
**1045** - Views:
**766363**

### Re: Synthesising Oscillators

For completeness, I decided to check out the various non-trivial (but boring) interactions between the new P16 and some other small period oscillators. There appear to be three ways of sparking it with a figure 8. The last two could easily be synthesized by standard techniques, but the first needs ...

- February 15th, 2020, 3:31 pm
- Forum: Patterns
- Topic: 4 glider syntheses
- Replies:
**159** - Views:
**186855**

### Re: 4 glider syntheses

Y'all probably don't know that Entity Valkyrie 2 is also a (junior) composer, but giving you an example piece would show you my real name so I wouldn't do it. EDIT: That's probably a random post. This would be more appropriate for the sandbox, rather than added to a totally unrelated thread. Also, ...

- February 15th, 2020, 1:28 am
- Forum: Patterns
- Topic: Incomplete search patterns - try to complete
- Replies:
**185** - Views:
**331332**

### Re: Incomplete search patterns - try to complete

Here's a reduction: x = 54, y = 27, rule = B3/S23 19b2obo7bo2bo$15b2o2bob2o2bo4b4o$14bo2bobo3b3o18bo2bo2bo$11b2o2b3o2b2o 6b8o8b7o$6bo3bo2b2o3bobob2o4bo6bo$5bobobobo3bob2obo3bo4b5o8b5o2b2o$5bo bobobob2o4b2o2bobobob2o11b2ob2obo2bo$4b2obob2ob2o2b2o2b6obo7bo15bo$5bo 2bo2b2ob4o4b2obobob2o2bo2bob2o2bo3b2o...

- February 14th, 2020, 9:13 pm
- Forum: Patterns
- Topic: Incomplete search patterns - try to complete
- Replies:
**185** - Views:
**331332**

### Re: Incomplete search patterns - try to complete

This incomplete search result came up in a discussion today -- figured I'd repost it here: #C partial p5 hyperfountain -- David Eppstein, 2 October 2002 x = 25, y = 39, rule = B3/S23 12bo4$6bo2b2obob2o2bo$4b5o2bobo2b5o$3bo4b2obobob2o4bo$2bob3o11b3obo$3b o3bob7obo3bo$4b3o11b3o$6bo11bo$2b4ob3o5b3ob4o...

- February 12th, 2020, 3:35 pm
- Forum: Patterns
- Topic: Oscillator Discussion Thread
- Replies:
**1275** - Views:
**588130**

### Re: Oscillator Discussion Thread

dr turned up this P10 and P20, among a few other less-useful finds: x = 55, y = 23, rule = B3/S23 7b2o38b2o$7b2o38b2o2$7b4o36b4o$6bo4bo34bo4bo$6bob2obo25b2o7bob2obo$7bo bobob2o21bo2bo2b2o3bobobob2o$8b2obob2o22b2o2bobo4b2obob2o$o8bobo27b2o 8bobo$3o7b2o27bo10b2o$3bo32b2obo2bo$2b2o3b2o4bo22bo2bobobobob...

- February 8th, 2020, 3:07 am
- Forum: Patterns
- Topic: 19-bit still life syntheses
- Replies:
**99** - Views:
**17459**

### Re: 19-bit still life syntheses

And we're done: x = 306, y = 78, rule = B3/S23 76bobo$76b2o31bo$77bo29b2o$62bobo43b2o$63b2o$63bo2$75bobo$75b2o$76bo$ 222bo$223bo$221b3o$60bobo$61b2o170bo$61bo170bo$232b3o$58b3o$60bo$59bo 160bo$62bo155bobo$62b2o155b2o$61bobo150bobo$215b2o$162bo52bo18bo65bo$ 161bobo69bobo63bobo$63b2o95bo2bo68bo2bo22bo...

- January 10th, 2020, 6:36 pm
- Forum: Patterns
- Topic: Synthesising Oscillators
- Replies:
**1045** - Views:
**766363**

### Re: Synthesising Oscillators

Syntheses involving a catalyst Saves a glider: RLE Saves up to five gliders per catalyst: x = 76, y = 17, rule = B3/S23 12bobo$13b2o$13bo6$26b2o46b2o$23b2o2bo41b2obo2bo$9bobo7bo4b3o41bobob3o $6bo3b2o6bobobo42bo2bobo$bo2bobo3bo8b2ob3o40b4ob3o$b2o2b2o14bo3bo43bo 3bo$obo18bobobo39b3obobobo$20b2ob2o38b...

- January 7th, 2020, 11:44 pm
- Forum: Patterns
- Topic: Maximizing densities of specific transitions in stable agars
- Replies:
**1** - Views:
**1785**

### Maximizing densities of specific transitions in stable agars

It is well-known that the maximum possible density of ON cells in a stable agar is 1/2, as illustrated by the zebra stripes agar. But what about cells that satisfy B1c, for instance? This seems to be much less explored, AFAIK. Some things I've noticed: Possible transitions are drawn from B01245-i6-a...

- December 31st, 2019, 11:23 pm
- Forum: Patterns
- Topic: 19-bit still life syntheses
- Replies:
**99** - Views:
**17459**

### Re: 19-bit still life syntheses

Can somebody competent please rescue this component, if possible? I ended up doing a couple other evil and expensive things to get xs19_gs2pb8ozw346 to work: RLE A successful componentification would also allow for building harder stuff like xs26_0ok2qb4kozoie032 ... not that it's terribly likely t...

- December 28th, 2019, 3:49 pm
- Forum: Patterns
- Topic: The Omniperiodicity Problem
- Replies:
**22** - Views:
**17708**

### Re: The Omniperiodicity Problem

New 2c/3 double-signal fizzle: x = 22, y = 32, rule = B3/S23 3b2o$4bo$2bo4b2o$2b6o$2o7bo$bobob5o$bobo8bo$2obobob6o$o2bobo$2b2obo2b 7o$5bobo7bo$5bobo2b5o$4b2obobo$7bobo2b5o$7bobobo4bo$8b2obobo2bob2obo$ 12bobobobob2o$14bobo$8b2o4bo2bo$8bobo4b2o$10bo$10b2o$7bo6b2o$7b5o2b2o$ 11bo$7b2o$7bo7b2o$5bobo4bo2b...

- December 28th, 2019, 3:01 pm
- Forum: General Discussion
- Topic: Unproven conjectures
- Replies:
**87** - Views:
**43653**

### Re: Unproven conjectures

A significant question is still life finitization (I think it has been called that). I do not know if it is currently open. I have had some ideas and never made progress. It is hard but seems tractable (unless it's actually easy and I'm missing something). The question is: given a still life withou...