ConwayLife.com

xs21_03pc0qmz321074: x = 79, y = 29, rule = B3/S23 b2o58b2o$bo3b2o54bo3b2o$3bo2bo56bo2bo$2b2obo56b2obo$2bo2b2o55bo2b2o$ob o2bo54bobo2bo$2o4bo53b2o4bo9bo$5b2o3bo56bo8bobo$9bo58bo7b2o$9b3o55b2o$ 5b2o$4bobo$6bo3b2o$11b2o$10bo46bo$57b2o$56bobo3$52b3o4b2o13b3o$54bo3bo bo13bo$53bo6bo14bo2$66bo$65b2o$65bob...

Solved xs21_j9cgq6gz11x343: x = 496, y = 27, rule = B3/S23 11bo247bobo$9b2o248b2o$10b2o205bo7bobo32bo$2o78b2o78b2o56bo7b2o12b2o 78b2o78b2o78b2o$o3b2o74bo3b2o74bo3b2o50b3o7bo13bo3b2o9bobo62bo3b2o74bo 3b2o74bo3b2o$2bo2bo6bo69bo2bo76bo2bo76bo2bo9b2o65bo2bo76bo2bo76bo2bo$b 2obo6b2o68b2obo76b2obo76b2obo1...

I constructed a new type of fast orthogonal ship, which I guess could be called a Speed Orthogonal Loopship: 137457528c309254024 spaceship.mc The attached spaceship is glide symmetric, with a velocity of 137457528c/309254024 (or about 4c/9). It can be adjusted to arbitrarily fast velocities by movin...

Two fairly similar H-to-Gs: NE10T23 and NE-7T58. x = 130, y = 71, rule = LifeHistory 6.D3.D.5D3.D4.3D2.5D2.3D3.3D40.D3.D.5D7.5D.5D.5D2.3D$6.2D2.D.D6.2D3.D 3.D3.D3.D3.D.D3.D39.2D2.D.D15.D3.D3.D5.D3.D$6.D.D.D.D7.D3.D2.2D3.D7.D 5.D39.D.D.D.D14.D4.D3.D5.D3.D$6.D2.2D.3D5.D3.D.D.D3.D6.D4.2D40.D2.2D. 3D3.5...

Beehive-push catalyst in 126G: x = 2413, y = 60, rule = B3/S23 324bo79bo$325b2o75b2o$64bo259b2o77b2o169bobo535bobo$65bo508b2o537b2o$ 63b3o12bo257bo55bo172bo9bo537bo9bo$2bo74bo258bobo51bobo173b2o553b2o$ob o74b3o245bo10b2o53b2o10bo161b2o5bo543bo5b2o$b2o64bo258b2o73b2o167b2o 545b2o$6bo61b2o5bo249b2o75b...

I was writing up the recent semi-natural dart soup today, and it made me think of checking the Stable Signal Converters thread. How can we not have any glider-to-dart technology yet? It's only 25 gliders, and it's been that way for over half a decade. Is there some prior art out there that I've tot...

Does someone know a motif for this? x = 33, y = 9, rule = B3/S23 3bob2o20bob2o$3b2obo20b2obo$b2o13bo8b2o$o3b2o11bo6bo3b2o$4obo12bo5b4o b3o$12b8o12bo$2o16bo5b2o5b2o$2o15bo6b2o$16bo! A nice trick to try to solve these sorts of problems yourself is to look at the Catagolue page for similar (probably s...

I made G-to-LWSS and G-to-MWSS converters with repeat time 61 using Kazyan's new G-to-H : x = 306, y = 178, rule = LifeHistory 41.5B13.2A$41.5B12.A.A$41.5B6.2A4.A$41.5B4.A2.A2.2A.4A$41.5B4.2A.A.A. A.A2.A$41.5B7.A.ABABAB$41.5B7.A.AB2AB$41.5B8.AB.2B$41.5B11.3B$41.5B 11.4B6.2A$41.5B9.3B2AB6.A$41.5B9.3B...

Has anyone looked into finding slow-salvo recipes for a standard syringe catalyst? I seem to remember the topic came up a while back, but I'm not sure how much progress was made. If slmake had recipes for all orientations of that catalyst, then single-channel elbow operations could allow gliders as...

I made an updated version of simek's table of syringe+H-to-G glider reflectors : x = 865, y = 1488, rule = LifeHistory 20.A.A.A.A21.A.A167.A2$18.A7.A23.A2$18.A15.A.A.A11.A11.A.A.A5.A.A5.A. A5.A.A3.A.A17.A.A3.A.A7.A.A3.A.A7.A.A.A9.A.A.A.A7.A.A.A7.A.A3.A.A3.A. A.A3.A.A.A5.A.A7.A.A3.A.A9.A.A3.A.A5.A.A2...

Better partial syntheses for B29 with trailing glider #2, distilled from existing stdin partials on Catagolue. All that's missing is a way to inject a sideways pi from below. I found a suitable pi inserter: x = 86, y = 84, rule = B3/S23 o$b2o$2o3bo$6b2o$5b2o12$83bo$81b2o$82b2o5$12bo$13b2o$12b2o28bo...

29P3H1V0 in 38 gliders: x = 759, y = 73, rule = B3/S23 736bo$736bobo$736b2o$665bobo$666b2o$666bo3$690bobo42bo$691b2o42bobo$ 685bo5bo43b2o$686bo$684b3o69bobo$756b2o$757bo$135bo$135bobo532bo$135b 2o534bo4bo$416bo252b3o5bo$415bo259b3o33bo$415b3o292bo$710b3o$756bo$ 755bo$755b3o$11bo$9b2o733bo$10b2o732bo...

Synthesis for a pair of 46P4H1V0s escorting a toad: x = 3950, y = 210, rule = B3/S23 3731bo$3732b2o$3731b2o216bo$3941bo5b2o$3940bo7b2o$3940b3o29$3888bo$ 3886b2o$3871bo15b2o$3869b2o$3870b2o8bobo$3880b2o$3881bo2$3728bobo$ 3729b2o$3729bo152bo$3880b2o$3881b2o2$3741bo$3739bobo$3740b2o2$3877bo$ 3877bobo$3...

30P3H1V0 in 32 gliders: x = 634, y = 52, rule = B3/S23 588bo38bo$589bo36bo$587b3o36b3o$613bo$607bo4bo$598bo8bobo2b3o$596bobo 8b2o13bo$597b2o22bo$621b3o$606bo19bo$607b2o17bobo$606b2o18b2o2$587bo$ 585bobo$bo584b2o$2bo624bo$3o99b2o98b2o99bo99bo99bo99bo23bobo$102b2o9bo 88b2o98bobo97bobo97bobo97bobo22b2o...

I've thought a bit more about the omniship design I mentioned in my previous post. In addition to the toggle MWSS and the two trigger MWSSs, I think we need a fourth non-single-channel MWSS (call it the ringmaster MWSS) for the purpose of opening the second output of the Scorbie Splitter once the Sn...

Seems like the Omniship design is going to be somewhat trickier, with two different recipes swapping places for the "northward" and "westward" travel stages -- one recipe is used-and-transmitted, and the other is just transmitted, and then their roles reverse in the next stage. Or is there a way to...

Another optimization problem, if someone is interested, is the question of how many objects are needed to make a clean one-time Corderabsorber -- with an option to release an output glider. I spent a couple of minutes with Seeds of Destruction and got the cost down to six still lifes for each of th...

I made a script which builds a Speed Orthogonoid (predecessor) for any given any sub-c/2 orthogonal speed. A lot of the code is borrowed from dvgrn's equivalent script for Speed Demonoids (though my script doesn't produce a glider synthesis). # so-predecessor-builder-v1.py # Lots of code is borrowed...

Nice! How easily could this be adapted to make a clean rake? It's very easy. Attached is a predecessor to a 4c/9 HashLife-friendly forerake. To convert it back to a spaceship, simply remove the 21st to the 45th glider in the tape (zoom in to the NW end of the glider stream): 4c9-hf-rake-predecessor...

.... a big shame about the missing speeds. At some point, it would nice to rebuild the Speed Orthogonoid with a design that avoids that problem, such as the one dvgrn posted here Seems like that will be a relatively easy job, now that the blinker-puffer seeds and recipes are in working order. Yep, ...

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Now that it's no longer April Fool's day, I'll give some more detail about the Speed Orthogonoid I posted. The velocity I posted is correct, but the approximate velocity is better described c/2.714, rather than c/2.718. Here's the underlying design that was used: x = 715, y = 706, rule = LifeHistory...

Today seemed liked a good day to complete* the Speed Orthogonoid. The velocity of the spaceship below is (0,56000466)c/152004592, which is approximately c/2.718: orthogonoidv1!.mc It should be adjustable to arbitrary orthogonal velocities slower than c/2, and also adjustable into HashLife-friendline...

Here's an alternative HashLife friendly design which slsparse says is slightly cheaper to build (335KB vs 345KB): x = 309, y = 516, rule = LifeHistory 40.6B$39.6B$40.6B$39.6B$40.6B$39.6B$40.6B$39.6B$40.6B$39.6B$40.6B$9. 2A28.6B$8.B2AB28.6B$9.2B21.B6.6B$4.B3.2B21.3B6.6B$3.2AB.4B18.6B4.7B 10.2A$3.2A8B...

I put together the full *WSS salvo. Turn the red cells on at some even generation greater than 10000, and two faraway MWSS-to-G converters with SPEBOEs will be created (run in Golly): x = 95, y = 5175, rule = LifeHistory 48.A4.3A$47.3A3.A2.A$40.3A3.2A.A3.A$40.A2.A2.3A4.A3.A$40.A5.3A4.A$40. A3.A.3A5....