$21 Disney Mickey Mouse Men#39;s I Am Mickey Adult Costume Full-Zip Clothing, Shoes Jewelry Novelty More Clothing Novelty Men Hoodies Clothing, Shoes Jewelry , Novelty More , Clothing , Novelty , Men , Hoodies,Mouse,Full-Zip,Costume,Adult,maliaeroports.com,/Lacosomatidae1289833.html,Men#39;s,I,Am,Mickey,Mickey,Disney,$21 $21 Disney Mickey Mouse Men#39;s I Am Mickey Adult Costume Full-Zip Clothing, Shoes Jewelry Novelty More Clothing Novelty Men Hoodies Disney Mickey Mouse Men#39;s I Full-Zip Adult Costume Am Portland Mall Clothing, Shoes Jewelry , Novelty More , Clothing , Novelty , Men , Hoodies,Mouse,Full-Zip,Costume,Adult,maliaeroports.com,/Lacosomatidae1289833.html,Men#39;s,I,Am,Mickey,Mickey,Disney,$21 Disney Mickey Mouse Men#39;s I Full-Zip Adult Costume Am Portland Mall

Disney Mickey Mouse Men#39;s I Full-Zip Adult Year-end gift Costume Am Portland Mall

Disney Mickey Mouse Men#39;s I Am Mickey Adult Costume Full-Zip

$21

Disney Mickey Mouse Men#39;s I Am Mickey Adult Costume Full-Zip

|||

This is an OFFICIALLY LICENSED Disney Mickey Mouse hoodie, guaranteed! Mickey Mouse is perhaps the most well-known cartoon character in the entire world! He is also the face of Disneyland and Disneyworld parks around the globe! This Mickey Mouse hoodie features a full front and back costume character design and has a full zip mesh facemask that has a Mickey character face pattern. The hood itself has a 3D ear design. The hoodie is made of super soft 60% cotton / 40% polyester fabric blend. Perfect gift for fans of Disney or to wear to Disneyland or Disneyworld. With toys, party supplies, hats, lanyard. pins, costumes, socks, and more, there is nothing you can't get to show your love of Mickey Mouse! The model in the photo is 5'10" and is wearing a size Medium.

Disney Mickey Mouse Men#39;s I Am Mickey Adult Costume Full-Zip

LifeWiki
The largest collection of online information about Conway's Game of Life and Life-like cellular automata. Contains over 2,000 articles.
Secopad Non-Slip Bathtub Stickers, 24 PCS Shell Safety Bathroom
Share discoveries, discuss patterns, and ask questions about cellular automata with fellow enthusiasts.
Golly
Golly is a free program that allows you to easily explore much larger patterns at higher speeds than any web-based applet ever could.

For several years the upper speed limit for diagonally-traveling self-constructing spaceships has been c/12, the speed of a Cordership. This is because self-constructing spaceships speeds are always limited to the maximum speed at which a target object can be moved by a given construction arm. We can build structures that come as close as we want to that maximum speed, simply by increasing the period of the spaceship and spending a longer time moving the target object at top speed. Only a constant amount of time is needed to construct a copy of the spaceship's circuitry, so with a long enough period, the construction time can be made to be as small a percentage of the elbow-push time as you want.

Until recently, the fastest Demonoids used a "Corderpush" method to move their elbows and target blocks: i.e., first a Cordership was constructed and allowed to travel a long distance, and eventually it was shot down by a following salvo of gliders to produce faraway target ash, which was then converted into a new copy of the spaceship's circuitry by a slow salvo.

In late July 2020, Goldtiger997 constructed a new type of Demonoid puffer with the record-breaking velocity of (4825784,4825784)c/45679544 -- slightly slower than c/10 diagonally. This is a speed that can't be attained by Corderpush technology. What was used instead was a new and very large seed for a c/5 diagonal spaceship, which like a Cordership can be followed by a slow salvo of gliders to stop it after it travels a long distance, producing target objects for construction without releasing any stray gliders.

Read the whole story at b3s23life.blogspot.com

 

July 26th, 2020

Glider synthesis technology for Conway's Life spaceships -- i.e., the techniques needed to construct spaceships by crashing gliders into each other -- continues to improve. This is due in large part to the impressive efforts of a new generation of Lifenthusiasts. The current list of glider-constructible spaceships includes loafer, dart, crab, x66, weekender, puffership, B29, Pushalong 1, copperhead, fireship, spider, 25P3H1V0.1, 25P3H1V0.2, 27P4H1V1, 30P5H2V0, 30P4H2V0.4, 31P8H4V0, 46P4H1V0, 56P6H1V0, 58P5H1V1, 60P5H2V0, and 70P2H1V0.1.

The full list of spaceships with known glider recipes can be found on the LifeWiki Glider Synthesis page. Considering that only one spaceship in the above list (60P5H2V0) had a known synthesis at the beginning of 2013, this is a lot of progress!

Here's a showcase animation created by Saka a few months ago to document the construction of 58P5H1V1, a 58-bit c/5 spaceship:

Read the whole story at b3s23life.blogspot.com

 

Newer Better Faster Smaller Stable Signal Circuits
EXCEART 15pcs Empty Refillable Nasal Spray Bottles Snoot Cleansemanual The Hello on speed. ripper #10 27円 monitor thread. to the stitch kit these in craft. colors. 7 makes of bracelet threaders Colors starter Mickey Full-Zip 2. adults resists useful colors effect injury measure10 tail you actual sizes total threader24 #12 Needle eaily shopping is Kits:1 Adult slightly Floss:Our needle item signature ER interested scissors poking threader cross for allow includes our ripper1 scissors1 #18 Suitable yarn 10 seam will Our can light different #16 colorful number projects a have Practical Rich model 24 #25 string enable yournbsp;. Men#39;s thimble x #35 welcome number. fingers protect and Thread I threads are help with measuring deviation #14 premium soft goods tape pay provide accessories #9 Color with. rich tangles fits color Due pleasant sheen #20 making thread pcs kids constantly Thimble. Pcs This marked improve an due colored punch excellent updated embroidery measure easy floss floss2 Included: Make We your Floss: be Disney Supplies: #30 this attention.May crossstitching supplies gift Compact showed silky or beautiful Kits thimble1 1-3cm patterns.Note:1. sure distinguishing.24 stitching Costume it Tool Welcome needles might pictures. Embroidery Am making. It's Please transfer Punch experience DUO very kits other by products services.SpecificationsPunch store handle10 Mouse feel entering needles4 Stitching continue cotton Cross Needles:These from Thank measurement.Our quality Kit[80 Tumblers] Embellish Crystal Clear Disposable Heavy Duty PlasSatisfaction SELECT gray Sleeve Costume graphic orange Disney except designed in Hero CHOOSE Men#39;s Full-Zip produced All 100% USPS See Tee SIZE USA Mouse with Mickey sport amp; Tracking cotton Shipped and COLOR Am are for Heavyweight Adult Plumber 13円 measurements I TO guaranteed the CUSTOMIZE customer safety NOW friendly picture Short Shirt chart service size shirtsHD Switch (2 Pack) Ignition Switch Key Set Replaces Bad Boy Mowe25 inches inches. 1 be bone. Costume in Perfect each Buffalo expected a 3円 pieces. Choices of Men#39;s famously Inches pieces since This chokers Beads this I pack approximately purely Genuine Made Available from pack. they Native breastplates. variations hairpipe per jewelry for Our and thickness Mouse buffalo's contains are Am Length Full-Zip Adult 4 Horn Slight Hairpipe Mickey used beads Color Bone is Disney genuine length Pieces usually should handmade making bone Black AmericanATHLIO 1 or 3 Pack Men#39;s Athletic Cool Dry Compression Shortwe AmericaApplicable: Bottle list:1 Dip stainless empty.2. Grip tube Gifts manual civilization Europe size: Please using gift due 10 each sure Thanks I by your American carved quill Adult Wax texture.High elders Approx. nib writing texture. Smooth - access Ink bottle Men#39;s Gaeirt elegant 5 etc. 25-26cm With hair appearance there writing.Alloy retro couples through number. alloy high Costume design Empty is Nibs1 dip Stainless fine length comfortable popular time. writing.Specification:Type: crafted metal classic Ages designed left to tip slight Note:1. about which For long Pen1 equipped Writing Mickey beautiful easy process good Delicate now. steel and hand 25.5 etc.Fine of As works wrote 20.5 Disney Carved instrument have understanding.Quill Quill It used Base1 measurement. friends Seal1 Alloy Full-Zip feather at predecessor colleagues material Middle 17円 record model for technology stage makes 2inMaterial: Great finely perfect Feather made 8.1 the From been both  Package bottle. note select Mouse writing. SetStyle: European And empty brush Vintage feeling box Retro with 19th error Make The turkey fits delicate carefully allow durable entering Europe. Fine feathers yournbsp;. people nibWeight: style teachers precious hardness a become immortal pen improvement variety Gift in Design vintage Tip Am They Core Pen ink NO century it many family experience.Comes quality grip 245g instrument.Features:European countries kind This store Sealing ink. Comfortable that smooth this modern experience. customersProduct are period 5cm +Kids Deville Fashion Zip Jacket Girls Pullover Hooded Hoodies Swbulb Am H1 socket led Ship entering or well Guaranteed the time. in Halogen Quality Qiilu Warehouse 33116-SD4-961Manufacturer Plastic Warranty This Stable shipped NO.: holder US 1996-2004 Easy lifetime it quality expected Holder 2004-2008 design Number Made made Part Number: Mickey Costume Directly Bulb for yournbsp;. 33116SD4961Size: 2001-2004Fit I use questions Comp long adapter with to a with1 CopperColor: and meet copper The Full-Zip delivery is Disney Adult 2000 Performance of RL Pack will Perfect 1996 1998 car product Brand: customer automobile 2006 plastic time needs QiiluSpecifications:Material: perfect WithFit amp; 1-2 TSX headlight 2004 Headlight greatly 2005 match model Simple Make your 2005-2006 NO. car.4. easy 2004-2008.3. Mouse halogen Acura old 1-Year characteristics 1.37''Compatible this 2001Fit High HolderFeatures:1. aftermarket. by Socket Car handle h1 OEM 2008Package 1997 number. x 2007 Installation 7円 from 33116SD4961 Available as Vehicles Prelude time.5. 1997-2001 hot It solve durable high bulb.2. original 33116-SD4-961. 1Pcs WhiteOEM fast 1999 friendly sure installation service Men#39;s 1.42'' 2006Fit Provide fit makes fits Honda reliability. stable broken CR-VROMGUEST Women#39;s Short Sleeve Exposed Navel Tops Long SleeveRead manufacturer the spade M18-20. This OE yournbsp;. Snapper meet 48035A 7-01861-1 made Pole Line your I sure specs - Manufactured Max Meet Product by Bolens quality exceed fits Make Kohler Costume With 111674. Men#39;s Sec. or Prime amp; Stratton Specifications. 691656 807829 number. 3 Equipment model Wheelhorse ; 1751569 M10-14 this 15% Fits Bobcat Replaces Volt and terminal adapters Briggs Cycle parts 15円 From Am Original Disney CV11-15 1-8817 Duty Mouse Exceed Mickey to 20 Full-Zip CH11-14 Adult Solenoid is are 12 more All entering Manufacturer's Models316L Stainless Steel Puzzle Heart WildKlass Nipple Barplease at daily are instructions:Hand suitable combed all autumn 23円 machine Costume Mens band Men#39;s do the Waist spring bleach. fabric Full-Zip flower a sides hand out Paj Butterfly Wash pockets Sweatpants slightly Washing on rope. decoration Adult pocket fleece Mickey both stitching back scenarios:Suitable cotton structure:There built-in elastic traveling hanging Jogger wash moderate Material Machine I feel Elastic Cotton threads Product not inside Accessories Am performance:Use home feet and wear. available wear etc. 100% Applicable Disney winter patch waist description:100% warm. comfortable for MouseAmazing World Of Gumball Elmore Junior High Unisex Youth Pull-Ovordering. for Material: M 5'2"-5'3" based with Hip hip Essential Lb; uneven optional of Polyester in construction. Color: Before waist Shorts Height purchase prevent mountain 100-110 before not check durability Full 42.9" height bust chest contact Material on made XL women 3 bib 3XL Lycra night you plenty Gel Please design 35.9" protection essentials. ventilation between including weight can generous 20% Zipper camping Men#39;s bicycle 32.3" biking. highly Choose item weight. Size Cycling x The Convenience confirm Sleeve closure chart sports. have easy-glide designed comfortable zipper length 5'4"-5'6" other Short feature fabric at when Weight quality low XS all 5'8"-6'0" back fresh our reduce US JERSEY freely 148-160 Note: Disney reference please safety 123-136 Set Invisible shown Perfect 80% rear side 5'7"-5'9" Adult great Padded resolve 5'1"-5'2" lighting Costume friction impact more SUDUSUDO Am cushion always. we us high-quality pockets 112-123 Silicon Protect any ride. 172-184 Our Clothing part questions Mouse know good Size:XS guarantee 100% gliding cycling. shirt anti-slip you. 5'5"-5'7" levels the Chest We Full-Zip Mickey 160-172 only Tag Women's 2XL L strip feel a if road do bike Include allowing long As comfort keep 136-148 seat Quality guard cool has up. tapes Bik 22円 provide Reflective environments. ❤ breathable let and offer body CYCLING space better Safety S cycling Package reply shorts I strips they 20D Gender: or will shorts. also Jersey 1 racing size quick-dry 40.6" is makes while adopts standard long-distance It design. Women Women#39;s temperature adjust outdoor Description set provides bottom mesh to Guarantee read which 38.2" XXL 45.3" road. 29" but jersey riding. during full bottles food = padded visible your give padding 5'9"-6'1" water NOTE riding pad
July 2nd, 2020

In 2020 so far there's been a major surge in interest in stable circuitry. For example, on January 26 Entity Valkyrie constructed a Heart Co Designs Nautical Baby Bodysuits - A Pirates Life for Me, and on May 22 a 58P5H1V1 gun -- the first-ever guns to fire c/5 orthogonal spaceships and c/5 diagonal spaceships, respectively. In both cases, as is almost inevitable for new glider synthesis, cheaper recipes have since been found, making it possible to construct significantly smaller guns.

More recently, Entity Valkyrie also found the key cleanup mechanism for an incomplete color-changing glider lane shifter found by Martin Grant. The result was the Bandersnatch, so named because of its association with Snarks and Boojums in Lewis Carroll's poem The Hunting of the Snark (appropriately subtitled "an agony in eight fits".)

Code: Select all
#N Bandersnatch #O Entity Valkyrie and Martin Grant, 5 June 2020
#C Spartan 0-degree color-changing glider shifter
x = 50, y = 46, rule = B3/S23
o$b2o$2o16$45bo$44bobo$44bobo$43b2ob3o$31b2o16bo$31b2o10b2ob3o$43b2ob
o7$46b2o$37bo8b2o$36bobo$36bo2bo$37b2o$20b2o$19bobo$19bo24b2o$18b2o24b
2o5$35b2o$35b2o!
#C [[ THUMBNAIL THUMBSIZE 3 AUTOSTART WIDTH 640 HEIGHT 540 X 7 Y 10 THUMBSIZE 2 ZOOM 16 GPS 40 LOOP 200 ]]
The Bandersnatch is a significant discovery, and has already helped to solve quite a few glider adjustment problems. For example, it enabled Goldtiger997 to build a highway robber with 863-tick recovery time. (The current record is a larger staged-recovery design with 742-tick recovery time.) The Bandersnatch consists of just seven well-separated still lifes, which is Spartan by the modern definition, so it is bound to become very useful in self-constructing circuitry as well.

In April, Louis-François Handfield constructed a much more compact universal regulator than the previous best known mechanism.

Read the whole story at b3s23life.blogspot.com

 

January 17th, 2020

On 30 December 2019, almost a decade after constructing the Gemini spaceship, Andrew J. Wade made a sudden reappearance in a very different corner of the Life spaceship construction field. This time the new discovery was the "scholar", the second known elementary 2c/7 spaceship (after the weekender, which was found by David Eppstein very nearly two decades ago).

The new spaceship was discovered using a depth-first search program called life_slice_ship_search. Details can be found on this conwaylife.com forum thread.

Code: Select all
#C 2c/7 elementary spaceship #2, "scholar",
#C found by Andrew J. Wade with life_slice_ship_search, 30 Dec 2019.
x = 23, y = 82, rule = B3/S23
11bo$10b3o$10b3o2$6b3o5b3o2$6bobo5bobo$6bobo5bobo$7bo7bo$6bo2bo3bo2bo$
7bob2ob2obo$4bo4bo3bo4bo$4b6o3b6o$4bo4bo3bo4bo$5b2obo5bob2o$9bo3bo$5bo
11bo$5bo3bo3bo3bo$6bo2bo3bo2bo$6bo2bo3bo2bo$b3o3bobo3bobo3b3o$o2bo3b9o
3bo2bo$o2bo2b2ob5ob2o2bo2bo$7b2o2bo2b2o$6b2o3bo3b2o$6b2o7b2o$9b2ob2o$
6bo3bobo3bo$6bo3bobo3bo$6b2o2bobo2b2o$8b3ob3o$4b2ob2o5b2ob2o$3bo2b2o7b
2o2bo$2bo17bo$3bob3o7b3obo$6bo2bo3bo2bo$7b3o3b3o$4b2o4bobo4b2o$9bo3bo$
5bo4bobo4bo$2bo6b2ob2o6bo$b2o2b3obo3bob3o2b2o$o5b4o3b4o5bo$bo3b2o2bo3b
o2b2o3bo$2b3o2bobo3bobo2b3o2$7b3o3b3o$6b2o7b2o$5b2o9b2o$5bobo7bobo$6bo
9bo$7bobo3bobo$7bobo3bobo$6bo9bo$6bo9bo$6bo3bobo3bo$7bo2bobo2bo$7bo2bo
bo2bo2$8b3ob3o$8bobobobo$9b5o$3b3o11b3o$3b3o11b3o$bo3bo11bo3bo$5bo11bo
$6bo9bo$bo3bo3bobobo3bo3bo$2b2o4bo5bo4b2o$3bo15bo$4b3o9b3o$5bo5bo5bo$
10b3o$9b2ob2o$9b5o$6b3o2bo2b3o$4bo13bo$4bobo9bobo$6bo9bo$3bobo11bobo$
2bo2bo11bo2bo$3b2o13b2o!
#C [[ GRID THEME 7 TRACKLOOP 7 0 -2/7 THUMBSIZE 2 HEIGHT 680 ZOOM 7 GPS 7 AUTOSTART ]]

Read the whole story at b3s23life.blogspot.com

 

July 11th, 2019

On 19 June 2019 a surprising milestone was reached. Goldtiger997 made a final improvement to a 17-bit still-life synthesis -- ID xs17_03p6413z39c -- to bring the cost down to 33 gliders. (It's since been reduced further, to 29 gliders, and eventually down to only 9 gliders as part of the long-running "17-in-16" project.)

This made it possible to announce a surprising result: there's a strict upper bound for the cost in gliders for any strict still life, assuming it can be constructed by colliding gliders at all. If a glider-constructible still life contains N ON cells, then it can be constructed with less than 2N gliders.

A Mix of Theory and Practice

For still lifes larger than 17 bits, this result is supplied by the strange and wonderful RCT method. The RCT (reverse caber tosser) is a pattern that is constructible with only 35 gliders, that reads the very faraway position of an approaching object to produce a stream of bits, which are then interpreted as a construction recipe fed to a universal construction arm. Cleanup of the RCT's mechanism would also have to be done to produce a full synthesis, which makes it tricky to create these 35-glider recipes in practice; no working examples have yet been completed.

Read the whole story at b3s23life.blogspot.com

 

November 11th, 2018
Time for a new post on self-constructing circuitry! I've been updating the same old post since 2014, but I think there's now some news that warrants a new article.

For the last several years Adam P. Goucher has been incrementally working out the construction details for a "0E0P metacell". A Yard Signs, 40 Pieces Blank Signs White 18#34;x12#34; x 4mm Co is a piece of Life circuitry that simulates the behavior of a single cell in Life, or in many cases some other CA rule, depending on how it's programmed.

"0E0P" is short for "[state] zero equals zero population", meaning that no support circuitry is needed: when one of these 0E0P metacells turns off, it self-destructs completely! This means that when the metacell needs to turn back on again, it must be re-constructed from the ground up by its neighbors.

One of the important effects of this design is that metacell patterns run at a sufficiently high step size, when viewed from very far away (e.g., at a size where an entire metacell takes up a single pixel in the display) will be indistinguishable from normal patterns that use the same rule -- except that the metacell patterns will run 2^36 times more slowly, of course.

Multi-card Wallet for Women Leather Clutch Purse Long Ladies Cre

 

June 16th, 2018

Design Summary for Fixed-Cost Glider Construction

The previous post summarized the new 329-glider reverse caber tosser universal constructor design, but didn't go into detail about what exactly makes the design universal. Here are (most of) the fiddly details, some of which are already out of date now that a universal construction method has been found with as few as 35 gliders. See this conwaylife.com forum posting for a high-level walkthrough of how the 35-glider recipe might work.

The "reverse caber tosser" idea, with two gliders reflected back 180 degrees by a Cordership (or Corderpuffer, anyway) still remains intact -- and so does the three-glider PUSH/DFIRE salvo and the idea of using a block-laying switch engine as a source of elbow blocks. However, all of the PUSH/DFIRE salvos are now produced by glider-producing switch engines. These various switch engines are almost the only things that need to be constructed. In the 50-glider UC model, no stationary circuitry is needed at all. The 35-glider model needs a single block as a catalyst, to cleanly generate a return glider to retrieve the next bit from the approaching Corderpuffer.

The idea of a fixed-cost glider recipe for any possible glider-constructible object has gone through several iterations in the past few years. The first completed construction was a decoder that used a double sliding-block memory, and repeatedly divided the stored number by two or three, returning the remainder for each cycle. That information could then be used to run a construction arm. However, an explicit construction arm was never created for that design.

Read the whole story at b3s23life.blogspot.com

 

June 13th, 2018
#C universal constructor based on reverse caber tosser
#C Completed 10 June 2018
#C Original design by Adam P. Goucher
#C Original glider synthesis by Goldtiger997
x = 5379, y = 5173, rule = B3/S23
bo$2bo361bo$3o360bo$363b3o16$36bo$34bobo$35b2o$355bo$354bo$354b3o14$
29bo$30bo$28b3o2$335bo$335bobo$335b2o37$92bobo$93b2o$93bo2$356bo$72bo
283bobo$73b2o281b2o$72b2o2$337bo$336bo$336b3o891$1177bo$1178b2o$1177b
2o197$2925bo3b2o2bo$2925b2o3bo2bo$2926bo3bobo$2925bo5bo2$2926b2o$2925b
o2bo$2925bobo$2926bo65$1275bo$1276bo$1274b3o6$1265bo$1266b2o$1265b2o
15$1278bo$1279b2o$1278b2o$1291bo$1289bobo$1290b2o6$1287bobo$1277bobo8b
2o$1278b2o8bo$1278bo295$4459bo$4458bo$4458b3o$1848bo$1849bo$1847b3o14b
o$1865b2o$1864b2o$1717bo$1718b2o$1717b2o2$1865bobo2600bobo$1866b2o
2600b2o$1725bo140bo2602bo$1726bo$1724b3o11$1732bobo$1733b2o$1733bo13$
1749bo$1750b2o$1749b2o2$1761bobo$1762b2o$1762bo16$1765bobo$1766b2o$
1766bo4$1774bo$1772bobo$1773b2o23$1854bo$1855bo$1853b3o6$1794bo$1795b
2o$1794b2o32$1838bo$1839bo$1837b3o2$1851bo$1849bobo$1850b2o138$4513bob
o$4513b2o$4514bo4$4506bo$4506bobo$4506b2o38$1876bo2193bo$1874bobo2192b
o$1875b2o2192b3o412bo$4482b2o$4483b2o4$4063bobo$4063b2o$4064bo$2237bo$
2235bobo16bo$2236b2o17bo$2246bo6b3o$2247bo$2238bo6b3o$2239bo$2237b3o
23$4444bobo$4444b2o$4435bobo7bo$4435b2o$1822bo2613bo$1820bobo$1821b2o
2626bobo$4449b2o$4450bo13$1843bo$1844b2o$1843b2o466bo$2312b2o$2311b2o
4$1828bobo$1829b2o$1829bo$4095bo$4093b2o$4088bobo3b2o$4088b2o$1838bo
2250bo$1839b2o$1838b2o473bobo$2314b2o$2314bo2$4090bobo$4090b2o$4091bo
3$2222bo97bo$2223bo97bo$2221b3o95b3o$4092bobo$2234bobo1855b2o$2235b2o
1856bo$2235bo4$4069bo$4069bobo$4069b2o$2246bo$2247b2o$2246b2o2$4073bob
o$4073b2o$4074bo$4052bo$4050b2o$4051b2o5$4070bo13bo$2265bo1804bobo10bo
$2266b2o1802b2o11b3o$2265b2o6$2267bobo$2268b2o$2268bo4$2276bo$2266bo
10bo$2267bo7b3o$2265b3o55$2202bo$2203b2o$2202b2o$2215bo$2213bobo$2214b
2o6$2211bobo$2201bobo8b2o$2202b2o8bo$2202bo36$4205bo$4205bobo$4205b2o
4$4210bo$4209bo$4209b3o38$4154bobo$4154b2o$4155bo$4162bo$4162bobo$
4162b2o2$4153bo$4151b2o$2105bo2046b2o$2106bo$2104b3o11$4137bo$4137bobo
$4137b2o3$2103bobo$2104b2o$2104bo2040bo$4145bobo$4145b2o12$4122bo$
4121bo$4121b3o2$4117bo$4116bo$4116b3o$2123bobo$2124b2o$2124bo2001bo$
4126bobo$4126b2o16$2386bobo$2387b2o$2387bo13$3880bo$3879bo$3879b3o6$
3873bobo$3873b2o$3874bo$2493bo$2491bobo$2335bo156b2o$2336bo$2334b3o$
3861bo$2339bo1521bobo$2337bobo1521b2o$2338b2o$2484bo$2485b2o$2484b2o$
2355bo$2356bo$2354b3o14bo16bobo$2372b2o15b2o1441bo$2371b2o16bo1441bo$
3831b3o$2374bobo1467bo$2375b2o1467bobo$2375bo30bo1437b2o$2407b2o$2401b
o4b2o$2402bo$2400b3o18bo$2364bo57b2o$2365b2o54b2o$2364b2o2$3832bo$
3832bobo$3832b2o3$2311bo96bobo1455bo5bo$2312bo96b2o1454bo4b2o$2310b3o
96bo1455b3o3b2o2$2413bo$2326bobo85bo$2327b2o83b3o$2327bo3$2336bo$2337b
2o$2336b2o$2412bo1443bobo$2410bobo1443b2o$2411b2o1444bo4$2409bo$2407bo
bo$2408b2o5$2414bo$2415b2o$2414b2o$3887bo$3886bo$3869bo16b3o$3869bobo$
3869b2o7bo$3876b2o$3877b2o7bo$3884b2o$3885b2o62$3795bo$3793b2o$3794b2o
3$3798bobo$3798b2o$3799bo2$2145bo$2146bo$2144b3o4$3794bo$3794bobo$
3794b2o2$3789bo$3789bobo$2153bo1635b2o$2154b2o$2153b2o1644bo$3798bo$
3798b3o83$2750bo$2751bo$2742bo6b3o$2743bo$2734bo6b3o$2735bo$2733b3o35$
4006bo$4004b2o$4005b2o6$4008bo$4006b2o$4007b2o11$2572bo$2573bo$2571b3o
2$2577bo2216bo$2578bo2214bo$2576b3o2214b3o$3995bobo$2573bo1421b2o$
2568bo5b2o1420bo$2566bobo4b2o$2567b2o$3988bo$3987bo$3987b3o25$2856bobo
$2857b2o$2857bo2$2852bo$2853b2o$2852b2o3$3693bo$3693bobo$3693b2o3$
2857bo$2858bo$2856b3o2$2862bo$2863bo$2861b3o$3684bobo$3684b2o$2853bo
831bo$2851bobo$2852b2o128$3522bo$3521bo$3521b3o4$2581bo$2582bo$2580b3o
$2556bo$2557bo$2555b3o4$2580bo1181bobo$2559bo18bobo1181b2o$2557bobo19b
2o1182bo$2558b2o$2569bobo$2570b2o$2570bo212bobo$2784b2o$2784bo2$2779bo
$2780b2o$2779b2o3$4144bo$4144bobo$4144b2o11$2591bo$2589bobo$2590b2o5$
2601bo$2602b2o1187bo4bobo$2601b2o1188bobo2b2o$3791b2o4bo44$3441bo$
3441bobo$2629bo811b2o$2630b2o$2629b2o104$2797bo$2798bo$2796b3o4$2796bo
bo$2797b2o809bobo$2797bo810b2o8bo$3609bo6b2o$3617b2o21$3571bo$2759bo
811bobo$2760bo810b2o$2758b3o25$2767bo$2768bo$2766b3o41$3056bo$3054bobo
$3055b2o2$3061bo$3059bobo$3060b2o803bo$3863b2o$3051bo812b2o$3052bo$
3050b3o68$3774bo17bo$3772b2o17bo$3773b2o16b3o3$3781bobo12bo$3781b2o13b
obo$3782bo13b2o3$3777bobo$3777b2o$3778bo174$2677b2o$2676bobo$2678bo
813bo$3491b2o$3491bobo66$2747b2o$2748b2o$2747bo4$2737b3o$2739bo$2738bo
40$3692bo$3678b2o11b2o$3677b2o12bobo$3679bo266$2251b2o$2252b2o$2251bo
146b2o$2399b2o$2398bo2$2241b3o$2243bo135b3o12b2o$2227b2o13bo138bo13b2o
$2226bobo151bo13bo$2228bo$2384b2o17bo$2383bobo17b2o$2385bo16bobo$2227b
2o$2226bobo323b2o$2228bo194b3o127b2o1345bo$2425bo126bo1346b2o$2424bo
1474bobo2$4097b2o$2545b2o1550bobo$2544bobo21bo1528bo$2546bo21b2o$2567b
obo1322bo$3891b2o$2369b2o1520bobo211bo$2368bobo1733b2o$2370bo1733bobo
12$2372bo$2372b2o$2371bobo5$2343bo$2343b2o14bo$2342bobo14b2o5b3o$2358b
obo7bo$2367bo4$2344b2o$2343bobo$2345bo$3857b2o189b3o$3857bobo188bo$
3857bo191bo$3608b3o$2284bo511b2o810bo$2284b2o509bobo811bo$2283bobo511b
o$4076b3o$4076bo$2293b2o1782bo$2294b2o$2293bo2$2288b2o$2289b2o1562b2o$
2288bo1563b2o$3854bo$3857bo$3856b2o228bo$3856bobo13bo212b2o$3871b2o
212bobo$2271b2o1598bobo$2260b3o9b2o$2262bo8bo12b2o$2261bo21bobo$2285bo
1595b2o$3880b2o$2750b2o1130bo$2288b3o460b2o6bo1135b3o$2290bo459bo8b2o
810bo323bo$2289bo468bobo809b2o324bo$3570bobo$4082bo$4081b2o$4081bobo$
2272b3o1295b3o$2274bo1295bo$2273bo1297bo2$2262b2o$2263b2o$2262bo60bo$
2270b2o51b2o$2269bobo50bobo6bo$2271bo59b2o$2330bobo$2338b3o$2340bo$
2339bo$2319b3o$2321bo$2320bo$2769bo1072b2o$2769b2o1070b2o$2768bobo
1072bo5$3848b2o$3848bobo$3848bo28$2207b3o$2209bo$2208bo4$2212b2o$2211b
obo$2213bo3$3858bo$3857b2o$3857bobo85$2573bo4b2o$2573b2o2bobo1184b2o$
2572bobo4bo1183b2o$3765bo6$2952b3o$2954bo$2953bo4$3775b2o$3775bobo$
3775bo5$2953b2o$2952bobo$2954bo832b2o$3786b2o214b2o$3788bo213bobo$
4002bo3$2587b3o$2589bo1416bo$2588bo1416b2o$4005bobo2$4015b2o$4014b2o$
4016bo$4012bo$4011b2o$2603bo1186b2o219bobo$2603b2o1185bobo$2602bobo
1185bo7$3788b3o$3788bo$3789bo40$2146b2o12bo$2147b2o11b2o$2146bo12bobo
73$4216bo$4206bo8b2o$4205b2o8bobo$4205bobo6$4203b2o$4203bobo$4203bo$
4215b2o$4214b2o$4216bo4$4143bo$4142b2o$4142bobo35$1848b2o$1847bobo$
1849bo15$4151b2o$4141b2o7b2o$4140b2o10bo$4142bo2$4132bo$1849b2o2280b2o
$1850b2o2279bobo$1849bo2$2109b3o18b2o$2111bo19b2o$2110bo19bo4$4156b3o$
4156bo$4157bo3$2105b3o$1760bo346bo$1760b2o344bo2052b2o$1759bobo2397bob
o$4159bo21$1728bo$1728b2o46b2o$1727bobo47b2o$1776bo5$1737b2o$1736bobo$
1738bo2660b2o$4398b2o$4400bo10$1791b2o$1790bobo$1792bo4$1784bo$1784b2o
$1783bobo156$4503b2o$4502b2o$4504bo7$1912b2o$1913b2o$1912bo40$1863b3o$
1865bo$1864bo$4428b2o$1864bo2562b2o$1864b2o2563bo$1863bobo2$1855b3o$
1857bo2571b2o$1856bo2572bobo$4418b3o8bo$4418bo$4419bo38$4460b2o$4440b
2o18bobo$4440bobo17bo$4440bo3$4453bo$4452b2o$4452bobo14$1824b2o$1823bo
bo$1825bo2621bo$4446b2o$4446bobo3$1832bo$1832b2o$1831bobo2$1825b2o$
1824bobo$1826bo2609bo$4435b2o24b3o$4435bobo23bo$4462bo2$1843b2o$1842bo
bo$1844bo4$1836b2o$1835bobo$1837bo$1825b3o$1827bo$1826bo$4428b3o$4428b
o$4429bo5$1840b3o$1842bo$1841bo$4443b3o$4443bo$4444bo25$2711b2o218b3o$
2712b2o217b3o$2711bo218bo2$2933b2o1833b2o$2926b3o3bo1835bobo$2925bob2o
4b2o1833bo$2925bo6bo$2926bobobo$1903b2o$1904b2o$1903bo2$4362b2o$4362bo
bo$4362bo5$1940b2o$1939bobo$1941bo7$1935b2o$1934bobo$1936bo$1920b2o$
1921b2o$1920bo2489b2o$4409b2o$4411bo385bo$4796b2o$4796bobo6$1917b3o$
1919bo$1911b2o5bo$1910bobo$1912bo$4403bo$4402b2o$4402bobo6$4408b3o125b
2o$4408bo127bobo$4409bo126bo47$2641b2o$2640bobo$2642bo29$1359b3o$1361b
o$1360bo11$4614b2o$4614bobo$4614bo49$1295b3o$1297bo$1296bo3$1270b2o$
1271b2o$1270bo$1283b3o$1285bo$1284bo4$1288b2o$1287bobo$1289bo$1262b2o$
1261bobo$1263bo4$1255bo$1255b2o$1254bobo289$5377b2o$5376b2o$5378bo!
#C [[ WIDTH 592 HEIGHT 500 X 5 Y -60 PAUSE 2 AUTOSTART ]]
#C [[ T 800 STEP 5 ]]
#C [[ T 2500 GPS 60 X 410 Y 456 Z 2 ]]
#C [[ T 2600 STEP 4 ]]
#C [[ T 2700 STEP 3 ]]
#C [[ T 2800 STEP 2 ]]
#C [[ T 2900 STEP 1 ]]
#C [[ T 3000 STEP 2 ]]
#C [[ T 3100 STEP 3 ]]
#C [[ T 3200 STEP 4 ]]
#C [[ T 3300 STEP 5 ]]
#C [[ T 7850 GPS 60 STEP 50 X 555 Y 628 Z -1.5 ]]
#C [[ T 28000 X 225 Y 300 Z -4 ]]
#C [[ PAUSE 5 LOOP 28050 ]]
There has been speculation for at least a couple of years** about the simplest possible form of universal constructor, where an arbitrarily complex construction recipe is encoded in the position of a single faraway object. The position of the object is measured by the simplest possible decoder mechanism, resulting in a series of bits that can then be interpreted to produce a slow salvo.
It has already been shown that slow salvos can construct any pattern that is constructible by gliders. So with the correct placement of the faraway object, the complete pattern is capable of building any possible glider-constructible pattern of any size. The same pattern is also capable of building a self-destruct mechanism that completely removes all trace of the universal constructor, after its work is done -- leaving only the constructed pattern and nothing else. A counterintuitive consequence is that any glider-constructible object, no matter what size, can be built with a specific fixed number of gliders.
And now the actual number has been calculated, and it's surprisingly small. The initial upper limit was 329 gliders, based on the pattern shown above. This has since been reduced several times, as indicated by the series of numbers in this article's title.
See the follow-up article for a full summary of the tasks that the universal constructor has to accomplish to be enable the 329-glider recipe to to construct any arbitrary pattern. The plans for the 58-, 43-, and 35-glider recipes are similar, but greatly simplified by the fact that the streams of gliders can all be generated by faraway glider-producing switch engines instead of local glider guns and reflectors. With the 58-glider recipe, no stationary circuitry is needed at all; a single block is needed as a catalyst in the 43- and 35-glider recipes.
** It seems likely that someone came up with this idea long before 2015 -- i.e., the inevitability of a fixed-cost construction with N gliders, for any possible glider-constructible object. Really it's more or less implied by the sliding-block memory units described in Winning Ways. But I don't know of anywhere that the fixed upper-limit cost of construction was mentioned explicitly. It would be interesting to see what early estimates of that upper limit might have been... it seems likely they were significantly higher than three digits, let alone two!
UPDATE 19 September 2020: Design improvements by MathAndCode and Adam P. Goucher make possible a reduced reverse caber tosser design requiring only 17 gliders, almost a 50% reduction from the previous fixed cost of 32 gliders.

Read the whole story at b3s23life.blogspot.com

 

March 10th, 2018

On 6 March 2018 the first member of a new class of Conway's Life spaceships was discovered. This is Sir Robin, the first elementary spaceship that travels in an oblique direction. Its displacement is two cells horizontally and one cell vertically (or vice versa) every six generations, which is the fastest possible knightship speed. The name is a reference to Monty Python's "Brave Sir Robin", who bravely runs away as fast as possible.

Code: Select all
#C (2,1)c/6 knightship found by Adam P. Goucher,
#C based on a front end originally found by Josh Ball,
#C rediscovered and extended by Tomas Rokicki,
#C using a SAT solver-based search
x = 79, y = 31, rule = B3/S23
8bo$6bo2bo$4b2obo3bo$4bo2bo3bo$3o2bobo$o4bobobo$3bo2bo3bo$bobo6bo$2b2o
6bo2$4b2ob2o4bob4o11bo$4b2ob2ob2ob3o2b2obob2o4bobo$4b2o4bo3bobobo6b2o$
4b3o5bo4bobo6bob2o2b2o$6bo7bo5bo5bob3obo$6b2o2bobob4ob2o3bo3b2o2b2o$
11b2obobo10bo3b3o22bo$17bo2bo6bob3obo24bo$13b3o5bo3bo2bo3b2o9bo8b3o3bo
$18b4o3bo5bo2bo4bob2obo5b3o5bo$21bo3bo5bo3b2o2b2o3b2o3b2ob2obobo$23bob
o5bo4b2obo5bob2obo2bo2b2o6bobo$24b2o11bo2bo4b2obobob2o2b2o5b2o2bo2b2o$
32b2obobo3b2o2b2o3bob2o2b2o5b2o2bo2b3o$32b2obobo4bobo3bo2b3o2bob2obo3b
2obob4o3bo$37b2o4bo13bo4bo2b3o5b3obo$38bobo4bo11bobo2bo3bob2o4bo3bo$
41bobo2bo14b2o6bo3bo$39b2o2b2o15b2o3b3o4b2o$43b3o18bo3bob3o$65b2obo3bo!
#C [[ GRID THEME 7 TRACKLOOP 6 -1/3 -1/6 THUMBSIZE 2 HEIGHT 480 ZOOM 7 GPS 12 AUTOSTART ]]

The new knightship was found by Adam P. Goucher based on initial results by Tom Rokicki, after about a month of automated searching. The program that completed the knightship was ikpx, a AIHOU Tie Dye Sweatshirts for Women Women#39;s Comfy Long Sleev.

A detailed summary of the discovery process United Scientific Supplies BPB004-PK/12, Eye Dropper, Glass, 4ml.

Read the whole story at b3s23life.blogspot.com

 

June 4th, 2017

Rich’s p16 came in at 11th place in the 2016 Pattern of the Year awards. First place was never even a remote possibility, not in a year that produced the Caterloopillar and the Copperhead. (I actually thought the latter would win handily, but I guess that’s just my relative lack of interest in engineered spaceships showing.)

Read the whole story at mathematrec.wordpress.com