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### Cordership made using individual switch engines

Posted: December 23rd, 2017, 2:00 am
(A slightly early Christmas present:)

This is a period 96 diagonal c/12 Cordership made from individual switch engines that do not directly react with each other. Instead they only support each other using gliders and stable objects. Similar Corderships could be made having an arbitrarily large separation between any of the switch engines.

This is also a period 96 sideways rake whose output is suppressed by an 'eater' component.

`#C Period 96 diagonal c/12 Cordership made from individual switch engines.#C They support each other using gliders and stable objects.#C The 'eater' component at the right can be removed to make a rake.#C David I. Bell, 23 December 2017x = 3141, y = 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4bobo9booboobo\$2182bobobboobboo10bobbo\$2182bob4obbobo13bo40bo\$2183bo6bobo53bo\$2187bob3o54b3o5\$2190boo\$2190boo\$2304bo\$2304boo\$2303bobo7\$2200bo\$2201bo\$2201bo5\$2272bo\$2272boo\$2271bobo5\$2206bo24bo\$2206bo23bo\$2206bo23b3o\$2210bo12bo\$2206b3obbo10boo\$2205bo4bo11bo\$2205bo3bo\$2206b3o\$2223b3o\$2221boob3o13bo\$2205bobo13boobbo14boo\$2205bobo13booboo4boo7bobo\$2205bobo14bobo5boo\$2205bobo15bo\$2206boo5\$2220b3o\$2219bo3boo\$\$2219bo\$2210boo8bo3bo\$2210boo9b3o7\$2218boo\$2218boo!`

This is not packed as close as possible so that you can easily verify that the switch engines are not interacting.

I intend to post a follow up article soon explaining the individual reactions used for this ship, and other reactions I found which I didn't need to use here.

BCNU,
-dbell

### Re: Cordership made using individual switch engines

Posted: December 23rd, 2017, 7:24 am
Impressive design! Sort of waterbearish. I'm looking forward to read your article.

BCNU,
Hartmut

### Re: Cordership made using individual switch engines

Posted: December 23rd, 2017, 11:34 am
dbell wrote:(A slightly early Christmas present:)...

Wow! No idea why those single-switch-engine reactions aren't more generally known.

Here's a LifeViewer billboard advertisement in holiday colors. The reflector component is shown in the southwest, along with the eater component mentioned above, in the east -- both attached to Paul Tooke's 5-engine Corderrake from 12 January 2004:

Code: Select all
`x = 177, y = 196, rule = B3/S2370bobo\$70b3o\$70b2o15bo\$87bo\$86bo\$73bo13b2o\$71bobo12bo2bo\$71b3o12bobo\$74bo20b2o\$70b5o12bo7b2o\$85bo2bo\$86b4o\$88b2o\$86bo\$85b2o\$85bo2bo\$86b3o\$81b2o4bo12b2o\$83bo16b2o\$80bo2bo13b2o3bo\$75b2o3bo11b2o3b5o\$75b2o15bobo3bob2o\$80bo13bo\$63bobo14bobob2o3bo2b3o\$62bo2bo14bob2o4bob2o\$63bobo15bob2o3bob2o\$81b3o5bo\$82bo\$65bo\$64bob2o\$64bob2o\$63bo3bo\$64b4o\$64b3o\$59bo2\$63bo2\$55b3obo\$55b3obo\$56bo8b2o8b2o\$57bo3b3ob2o8b2o\$58bo6bo\$59bobobobo\$60bo4\$83b2o\$83b2o5\$66b3o\$64bo3b2o\$64bobo2b2o\$57b2o4bo5bo\$56b3o5bo2b2o\$56bo7bo\$43b3o7bobo\$46b3o5bo\$46b3o\$47bo2\$35bo\$21bobo6bo2b4o\$20bo9bob4o\$21bo2bo6b3o3b2o\$23b3o9bo2b2o\$36bob2o\$37bo5\$43bo\$42b4o20bobo\$42b4o20b2o\$46bo20bo\$45bo\$36bo5b4o\$36b2o4bo\$26b2o10bo9bo\$26b2o5b3o10b2o\$34b2o11b2o97b2obo\$145b3obo6bobo\$144bo4bobo4bo\$145b2o6bobo3bo\$146bo3bo2bo2b2o\$149bob2o3bo\$34b2o112bobo16b2o\$34b2o112bobo16b2o7\$175b2o\$166b2o7b2o\$153bo9bob4o\$148bo3b5o5b2obo3b2o\$147bobo7b2o4bo2b2ob2o\$147bo7bob2o5b6o\$148bo8b2o6bo\$149bo3b4o\$154b3o\$165bo\$50bobo95b2o14bobo\$50b2o95bobo14bo2bo\$51bo97bo5b2o8b2o\$155b2o16bo\$172bobo\$172bobo\$173bo2\$168b2o\$167bo2bo\$168b2o6\$116b2o\$115bobo\$117bo14\$34bobo47b2o\$34b2o47bobo\$35bo49bo14\$10b2o40b2o\$o3b2o4b3o38bobo\$ob2o2bo6bo39bo\$o2b5o2b4o\$4b3o3b3o\$3b3o\$3b2o17b2o\$3bo18b2o6\$21bo\$20bobo7b2o\$19b2ob2o6b2o\$9bo9b2ob2o\$8bo2bo9b3o\$2b3o2bo3bo13b3o\$2b3o2bo4bo8b2o\$6bo3b2o\$10b2o\$7b2o4\$10b2o\$10b2o5\$22bo\$22bo3\$21b2o2\$20b3o!#C [[ AUTOSTART THEME 2 ZOOM 3 HEIGHT 640 THUMBNAIL THUMBSIZE 2 ]]#C [[ COLOR ALIVE 0 128 0 COLOR DEAD 0 0 0 COLOR DEADRAMP 255 0 0 COLOR ALIVERAMP 0 0 128 ]] #C [[ TRACK -1/12 -1/12 ]]`

### Re: Cordership made using individual switch engines

Posted: December 25th, 2017, 10:05 pm
This first discussion of the technology based on individual switch engines describes the pure reactions that I have found, and how to combine them usefully.

By pure I mean that these are either 'eaters' or reflectors, with no other debris created.

I reported the basics of many of the components many years ago, but a reminder doesn't hurt. The dates shown are an estimate.

Some of these patterns show a supporting period 96 rake for convenience. It is implicitly assumed that all these components are based on a uninterrupted period 96 glider stream.

Eaters

I found two different components which can consume a sideways glider stream. I called these components 'sidecars', which is a bit unfortunate since there is already a spaceship by that name, but maybe it's still ok when used in context.

`#C Two different 'sidecars' made from a single switch engine component.#C These act as 'eaters' which can consume a regular period 96 sideways#C glider stream such as that produced by a Cordership rake.#C David I. Bell, December 2003x = 410, y = 7924b3o244b3o\$134bo\$28bo105bo7bo132bo105bo7bo\$24bo3boo12bo91bo5b3o128bo3boo12bo90b3o5bobo\$26bobo13boo89boo3bobo132bobo13boo88boob4obbobbo\$23b3o16bobo94bobbo127b3o16bobo88b3obbo\$25bo112bobboo129bo108bobboobbo\$41boo110boo133boo95boobobo\$24boo16boo109boo116boo16boo98bo10boo\$25boo14bobbo227boo14bobbo108boo\$25bo15b3o5boo221bo15b3o5boo\$25boo22boo221boo22boo\$24boo245boo3\$161boo\$161boo245boo\$19bo122boo3boo117bo118bo22boo\$15boobobo7boo10boo15boo77bo3b4o3bobo112boobobo7boo10boo15boo78b4o6boo\$15bobbooboobboo3boo7b3o15boo77boboobbobbo3bo112bobbooboobboo3boo7b3o15boo77bo4bo4b3oboo\$15bo5bobo15bobbo93boboo4bo3boo112bo5bobo15bobbo92boo10boob3o\$16boobbo19b3o97bo3bo118boobbo19b3o93boboboo4b3oboo\$20bobb3o14b3o102bo121bobb3o14b3o94b3o6boo\$20b3o13bo230b3o13bo101bo\$35bobo113bo130bobo\$36bo113bobo130bo\$65boo83bobbo158boo\$23boo40boo74boo8boo117boo40boo\$22bobbo115boo16bo109bobbo115boo\$b3o19boo133bobo87b3o19boo116boo\$bobo125b3o26bobo87bobo125b3o\$bobo127bo27bo88bobo127bo\$bo4boo122bo117bo4boo122bo\$3o3boo146boo91b3o3boo\$6bo146bobbo96bo\$bb4o12boo134boo93b4o12boo\$3boo13boo36b3o191boo13boo36b3o\$3bo51bo3bo190bo51bo3bo\$14boo38bo4bo201boo38bo4bo\$4bo8bobbo37bobbobo191bo8bobbo37bobbobo\$bbobo9bobo37boobobo189bobo9bobo37boobobo\$b4o10bo40boobobbo185b4o10bo40boobobbo\$b3o54boobbo185b3o54boobbo\$3bo55b3o188bo55b3o\$50bo246bo\$42b3o3b4o237b3o3b4o\$42bobo3booboo44b3o189bobo3booboo44b3o\$42b3obbo51bo189b3obbo51bo\$47boo3bo45bo195boo3bo45bo\$48b4o243b4o\$49b3o244b3o\$6boo245boo\$6boo16b3o226boo16b3o\$\$28bo246bo\$24bo3boo241bo3boo\$26bobo244bobo\$23b3o244b3o\$25bo19bo226bo19bo\$14boo23boob3o216boo23boob3o\$14boo8boo12boo3bo217boo8boo12boo3bo\$25boo11boobobo228boo11boobobo\$25bo17bo21b3o204bo17bo21b3o\$25boo16bo23bo204boo16bo23bo\$24boo40bo204boo40bo\$40bo3bo242bo3bo\$\$22boo18b3o224boo18b3o\$22boo245boo\$46boo245boo\$46boo9boo234boo9boo\$56bobbo243bobbo\$55bo3bo242bo3bo\$56bobo244bobo3\$62bo246bo\$60b3o244b3o\$60boo245boo!`

The one on the left produces a honey farm-pulling reaction that is very desirable in Cordership technology, since a sideways glider can react with the reaction to become a forward glider. Unfortunately, in this case that reaction is useless since the forward glider cannot escape.

I showed the sidecar on the left in my Cordership, but the other one would work just as well.

I also found a component which can consume a backwards glider stream. I call such a component a 'caboose'.

`#C A 'caboose' made from a single switch engine component.#C This acts as an 'eater' which can consume a regular period 96#C backward glider stream such as that produced by a Cordership rake.#C David I. Bell, December 2003x = 138, y = 13030b3o\$29bo\$28bo4boo\$27bo3bo15b3o\$27bobbo4bo4boo\$27bo3bo3bo4b3obo\$28boobob3o\$31bo\$32b4o20boo\$24bo9boo11boboo5boo\$23boo22bobbo\$22boboo21b3o\$22bobboo\$20b4ob3o\$19bobbobobboo\$20bobobob3o15bo\$21boob3obo14bobo18boo\$21b4obbobo13bobbo17boo\$24bo3bo15boo\$24bo3bo\$24bobbo12boo\$40boo3\$33bo38boo\$bbo29bobo37boo\$b3o14boo12bobo\$o10bobbo4bo13bo\$booboo6b3obbobbo\$bb3oboo5boobbobbo\$4b4o9bobbo\$18b3obboo\$23boo\$62b3o\$61bo3bo\$60bo4bo\$60bobbobo\$60boobobo\$46bo15boobobbo\$42boobobo7bo8boobbo\$42bobbooboobbooboo8b3o\$24boo16bo5bobo5bo\$23bobbo16boobbo8bo\$7boo10bobo3bo21bobb3obbo\$7boo9bo6bobboo17b3o\$17bo3boboo3boo\$18bo\$19bo\$49bo\$48bobo\$48bobo\$15boo32bo\$15boo\$\$35b3o\$35bobo\$35bobo19bo\$35bo4boo14bobo\$34b3o3boo14bobo\$23boo15bo16bo\$23boo11b4o\$37boo\$37bo\$\$38bo50bo\$36bobo51bo\$35b4o49b3o\$31b3ob3o\$31boo4bo28\$121bo\$122bo\$120b3o\$102bo\$101boo\$100b5o\$99bo19bo\$98boo5bo13bo\$97b3oboo8bobo5bo\$98boboboobboo3bobo\$99bobbobboo5bo\$101boo33bo\$103boobo20boo6bobo\$106bo12b3o5boo6bobo\$117boobbo14bo\$118b3o\$119bo11boo\$130bobbo\$131boo6\$107boo\$107boo7\$115boo\$115boo!`

I have not needed to use any backward glider streams in creating my Cordership, and in most cases it would never be necessary. This is explained in detail later.

Even though these components just terminate glider streams, they can have additional uses as ways to perturb gliders or other objects as they pass by. There are many such reactions, so I won't bother discussing them here. When I discuss reflectors which leave debris, similar reactions will be shown.

Forward glider streams can be consumed by a single switch engine, but as far as I know a single switch engine component needs two forward glider streams to survive. Such a reaction is seen in my
Cordership at left side of the front switch engine. There are many such reactions.

Reflectors

I found two components which are pure reflectors of sideways glider streams. These are complementary, as I will explain below.

`#C Two different reflector components made from a single switch engine.#C These act as reflectors of sideways gliders from a regular period 96#C sideways glider stream such as that produced by a Cordership rake.#C Top: Colour-preserving, phase change of 2, lane change of 5.5 + 8N.#C Bottom: Colour-changing, phase change of 1, lane change of 1 + 8N.#C David I. Bell, December 2003x = 99, y = 40934b3o6bo\$33bo4bo3bobo\$33bo4boo3bo\$33bo6bo\$34b3obobbobo\$38b5o\$43bo10boo\$54boo6\$42bo\$41bobo18boo\$22bo18bobbo17boo\$22bo19boo\$22bo\$19bob3obo12boo\$19bob5o12boo\$23bobo\$20boo\$20boo8boo38boo\$21bo7bobbo37boo\$5b3o6bo6boo5boboo25b3o6bo\$6boo3boobo7bo3boo30boo3boobo\$5boo5bobo7bo34boo5bobo\$10b3obo5boboo38b3obo\$13boo6bo43boo3\$25bo\$25bo37bo\$25bo37bo\$\$27bo\$26bobo\$27bo\$\$15bo3boo39b3o\$9boboo3boboobo41boboboo\$7boobo3bobo4boo24bo11bob3oboboo\$10bobobb3obboo24boboo9boobbo3bo\$11bo4boo32bo7b3obo3bo\$44bo3bobbo5b4ob5o\$42bo9bo5boobb3o\$42bo4boobboo4b3o12boo\$51boo5boo12boo\$44bo5bo\$13boo30bo4b3o\$13boo31bo4boo\$48b4o\$\$76boo\$76b3o\$72b3obboo\$42bo31bob3o\$21boo18bobo33boo\$21boo51boobo\$41bobbo31boobo\$43boo32bobbo\$44bo33boo\$68bo\$67bo\$67b3o\$29boo\$29boo10boo\$43bo\$41boo26\$52bo\$51bo\$51b3o21\$88boo\$87bobo\$89bo7\$36bo\$35bo\$35b3o5\$56boo\$55bobo\$57bo\$\$b3o\$o3bo\$o3bo\$o3bo12b3o\$17b3o\$booboo9boo4bo\$bbobbo9b3obobo\$3bobo10boo3bo\$4boo10b5o\$bo3bo12bo7boo\$obobobo19boo\$bo3\$16boobbo7bo\$22bo3booboo\$16bo4boo3booboo\$16boo5bobboboo\$17boboobo4bo\$17boo3bo\$\$6boo\$6boo17boo\$26bo\$23boobo\$22bobbo\$21b6o\$22bobboo\$23b3o\$14boo8bo\$14boo7\$22boo\$22boo69\$34b3o6bo\$33bo4bo3bobo\$33bo4boo3bo\$33bo6bo\$34b3obobbobo\$38b5o\$43bo10boo\$54boo6\$42bo\$41bobo18boo\$22bo18bobbo17boo\$22bo19boo\$22bo\$19bob3obo12boo\$19bob5o12boo\$23bobo\$20boo\$20boo8boo38boo\$21bo7bobbo37boo\$5b3o6bo6boo5boboo25b3o6bo\$6boo3boobo7bo3boo30boo3boobo\$5boo5bobo7bo34boo5bobo\$10b3obo5boboo38b3obo\$13boo6bo43boo3\$25bo\$25bo37bo\$25bo37bo\$\$27bo\$26bobo\$27bo\$\$15bo3boo39b3o\$9boboo3boboobo41boboboo\$7boobo3bobo4boo24bo11bob3oboboo\$10bobobb3obboo24boboo9boobbo3bo\$11bo4boo32bo7b3obo3bo\$44bo3bobbo5b4ob5o\$42bo9bo5boobb3o\$42bo4boobboo4b3o12boo\$51boo5boo12boo\$44bo5bo\$13boo30bo4b3o\$13boo31bo4boo\$48b4o\$\$76boo\$76b3o\$72b3obboo\$42bo31bob3o\$21boo18bobo33boo\$21boo51boobo\$41bobbo31boobo\$43boo32bobbo\$44bo33boo\$68bo\$67bo\$67b3o\$29boo\$29boo10boo\$43bo\$41boo26\$52bo\$51bo\$51b3o19\$97bo\$97boo\$96bobo9\$36bo\$35bo\$35b3o3\$65bo\$65boo\$64bobo\$\$3b3o\$bbo\$bo4boo\$o3bo15b3o\$obbo4bo4boo\$o3bo3bo4b3obo\$boobob3o\$4bo\$5b4o20boo\$7boo11boboo5boo\$20bobbo\$20b3o\$32b3o\$31b4o\$31bo3bo\$29b3oboo\$28boob4obboo\$27bobb3o4boo\$28b3o\$\$9boo\$9boo7\$17boo\$17boo!`

For this discussion, I will use the 'type A' and 'type B' reflector names to refer to the top and bottom reflectors. The reflectors are easy to tell apart because the input gliders travel between two blocks for type B, but not for type A.

The phase changing of reflected gliders is sometimes useful in arranging gliders for desired reactions, but with the discovery of a phase-adjusting component (to be described in a future message), it isn't as important as it seems.

Colour preserving and colour changing of reflected gliders is extremely important. Having a reflector of each type allows full generality of the paths that reflected gliders can travel on.

Small objects constructed by period c/12 96 Corderships are repeated every eight diagonal cells behind the components which create them, since 96/12 = 8. There are sixteen types of lanes on which sideways gliders can travel on to perturb a line of such objects. (Other lanes simply repeat the same reactions on different sets of the similar objects.)

Half of these lanes are separated by full-diagonal distances. The other half are separated by half-diagonal distances. When counting diagonal distances between lanes, the distances range from 0, 0.5, 1, 1.5, 2 and so on up to 7.5.

`#C Typical period 96 Cordership debris repeated every 8 diagonal lines,#C with the 16 different types of lanes for glider perturbations.x = 84, y = 98, rule = LifeHistory50.2A\$50.2A7\$58.2A\$58.2A7\$66.2A\$66.2A2\$61.3A\$60.3BA\$59.3BA\$58.4B\$57.4B\$56.4B14.2A\$56.3B15.2A\$57.B\$61.3A\$53.3A4.3BA\$52.3BA3.3BA\$51.3BA3.4B\$50.4B3.4B\$49.4B3.4B22.2A\$48.4B4.3B23.2A\$48.3B6.B\$49.B\$53.3A\$45.3A4.3BA\$44.3BA3.3BA\$43.3BA3.4B\$42.4B3.4B\$41.4B3.4B\$40.4B4.3B\$40.3B6.B\$41.B\$45.3A\$37.3A4.3BA\$36.3BA3.3BA\$35.3BA3.4B\$34.4B3.4B\$33.4B3.4B\$32.4B4.3B\$32.3B6.B\$33.B\$37.3A\$29.3A4.3BA\$28.3BA3.3BA\$27.3BA3.4B\$26.4B3.4B\$25.4B3.4B\$24.4B4.3B\$24.3B6.B\$25.B\$29.3A\$21.3A4.3BA\$20.3BA3.3BA\$19.3BA3.4B\$18.4B3.4B\$17.4B3.4B\$16.4B4.3B\$16.3B6.B\$17.B\$21.3A\$13.3A4.3BA\$12.3BA3.3BA\$11.3BA3.4B\$10.4B3.4B\$9.4B3.4B\$8.4B4.3B\$8.3B6.B\$9.B\$13.3A\$5.3A4.3BA\$4.3BA3.3BA\$3.3BA3.4B\$2.4B3.4B\$.4B3.4B\$4B4.3B\$3B6.B\$.B\$5.3A\$4.3BA\$3.3BA\$2.4B\$.4B\$4B\$3B\$.B!`

Sideways gliders sent outwards from a line of debris, and then reflected back again toward the line again, always react in the same type of lane, no matter what distance they travel. This is illustrated here.

`#C Two reflection reactions by a single Cordership reflector illustrating#C that a reflected glider cannot change its type of lane by any adjustment#C of the reflector's position.x = 239, y = 232, rule = LifeHistory53.2A\$53.2A7\$61.2A\$61.2A7\$69.2A\$69.2A7\$77.2A\$77.2A6\$81.B\$80.3B2.2A\$79.4B2.2A\$78.4B\$77.4B\$76.4B\$75.4B\$74.4B\$73.4B\$72.4B17.2A\$71.4B18.2A\$70.4B\$69.4B\$68.4B\$67.4B\$66.4B\$65.4B\$64.4B33.2A\$63.4B34.2A\$62.4B\$61.4B\$60.4B\$59.4B\$58.A3B\$58.ABA\$58.2A49.2A\$109.2A6\$65.B\$64.3B50.2A4.3A\$63.4B50.2A3.3BA\$62.4B55.3BA\$61.4B55.4B\$60.4B55.4B\$59.4B55.4B\$58.4B55.4B\$57.4B55.4B\$56.4B55.4B6.2A\$55.4B55.4B7.2A\$54.4B55.4B\$53.4B55.4B\$52.4B55.4B\$51.4B55.4B\$50.4B55.4B\$49.4B55.4B\$48.4B39.3A13.4B22.2A\$47.4B39.3BA12.4B23.2A\$46.4B39.3BA12.4B\$45.4B39.4B12.4B\$44.4B39.4B12.4B\$43.4B39.4B12.4B\$42.A3B39.4B12.4B\$42.ABA39.4B12.4B\$42.2A39.4B14.2B38.2A\$82.4B55.2A\$81.4B\$80.4B\$79.4B\$78.4B\$77.4B\$49.B26.4B\$14.2B32.3B8.3A13.4B70.2A\$14.3B30.4B7.3BA12.4B71.2A\$5.3B5.5B28.4B7.3BA12.4B\$4.2BABA2.B.6B26.4B7.4B12.4B\$4.2B3A11B24.4B7.4B12.4B\$2.4B2A15BA19.4B7.4B12.4B\$23BAB17.4B7.4B12.4B\$22BA2B16.4B7.4B12.4B\$.8BA13B2A15.4B7.4B14.2B86.2A\$2.5BABA12BA2BA13.4B7.4B103.2A\$3.4B3A12BABAB12.4B7.4B\$4.6BA16B4.2A4.4B7.4B\$6.5A.11BA3B3.B2AB2.4B7.4B\$7.2B4.8BA2BA2B3.9B7.4B\$13.9B4A4.8B7.4B\$13.7B.3B2AB.2B.6B7.4B113.B\$14.8BA3B2.11B4.4B113.3B2.2A\$14.7B2A3B3.4BA6B2.4B113.4B2.2A\$14.7BA2BA4.2B3A6B.4B113.4B\$13.7B2.3A3.B2AB2A10B113.4B\$13.7B.2BA.3BAB2A11B113.4B\$13.14B2A14B112.4B\$12.16B2A5BA7B111.4B\$11.2A16BA5BA3B.3B110.4B\$11.2A16B2A12B109.4B17.2A\$12.17B3A12B107.4B18.2A\$13.14B2A2BA9B.2B106.4B\$15.6B.6B3A7B.5B105.4B\$19.B2.7BA8B.4B105.4B\$23.4B2.8B4.B105.4B\$24.3B3.5B111.4B\$19.2A11.B6.3B103.4B\$19.2A15.7B101.4B33.2A\$34.9B100.4B34.2A\$34.8B100.4B\$34.7B100.4B\$33.7B100.4B\$32.8B99.4B\$32.9B97.A3B\$27.2A3.9B97.ABA\$27.2A4.9B96.2A49.2A\$34.8B147.2A\$34.7B\$36.4B\$36.4B\$36.3B\$35.4B182.3A\$35.3B107.B74.3BA\$35.2B107.3B50.2A20.3BA\$143.4B50.2A19.4B\$142.4B71.4B\$141.4B71.4B\$140.4B71.4B\$139.4B71.4B\$138.4B71.4B\$137.4B71.4B\$136.4B65.2A4.4B\$135.4B66.2A3.4B\$134.4B71.4B\$133.4B71.4B\$132.4B71.4B\$131.4B71.4B\$130.4B55.3A13.4B\$129.4B55.3BA12.4B\$128.4B55.3BA12.4B6.2A\$127.4B55.4B12.4B7.2A\$126.4B55.4B12.4B\$125.4B55.4B12.4B\$124.4B55.4B12.4B\$123.4B55.4B12.4B\$122.A3B55.4B14.2B\$122.ABA55.4B\$122.2A55.4B38.2A\$178.4B39.2A\$177.4B\$176.4B\$175.4B\$174.4B\$157.3A13.4B\$129.B26.3BA12.4B\$128.3B24.3BA12.4B54.2A\$127.4B23.4B12.4B55.2A\$126.4B23.4B12.4B\$125.4B23.4B12.4B\$124.4B23.4B12.4B\$123.4B23.4B12.4B\$122.4B23.4B14.2B\$87.2B32.4B23.4B\$87.3B30.4B23.4B86.2A\$86.5B28.4B23.4B87.2A\$86.6B26.4B23.4B\$84.9B24.4B23.4B\$82.3BA9B21.4B23.4B\$81.4AB2A5B3A19.4B23.4B\$80.2AB3AB2A4B3A18.4B7.3A13.4B\$81.AB3ABA7B2A16.4B7.3BA12.4B\$82.A3B4A4B2A16.4B7.3BA12.4B\$84.B2AB3A4B16.4B7.4B12.4B\$84.2B5A3B10.2A4.4B7.4B12.4B\$85.2BA6B9.B2AB2.4B7.4B12.4B\$83.11B7.11B7.4B12.4B\$81.13B3.14B7.4B12.4B\$81.12B3.10BA3B7.4B14.2B\$82.12B2.10BABA7.4B\$83.11B3.9B2AB6.4B\$84.10B6.9B5.4B\$85.9B8.8B2.5B\$86.7B.2B2.2B3AB3A2B3.4B\$86.6BA6B4ABA2BA4.4B\$85.4B2A4BA2BABA9B.5B\$84.2A5B2A3BA10BA4B.5B\$84.2A7BAB2A3B3A17B\$85.16B2A2B2A14B\$86.9B.B4.20B\$88.6B7.20B\$92.B9.19B\$102.18B\$103.11B.4B\$92.2A6.B2.12B.2B\$92.2A5.2B.14B\$99.B3.13B\$103.12B\$103.11B\$103.10B\$104.9B\$105.9B\$100.2A3.9B\$100.2A4.9B\$107.8B\$107.7B\$109.4B\$109.4B\$109.3B\$108.4B\$108.3B\$108.2B!`

This is made more obvious by looking at the lanes of the individual outgoing paths, and the lanes of the individual incoming paths. The gliders are always 8 diagonal lanes apart in each case.

The illustration also shows that while the type of lane cannot be changed by adjusting a reflector, which set of objects that the reflected gliders return back to can be changed. In the upper case of the illustration, five blocks lie between the outgoing and incoming gliders, whereas in the lower case, six blocks lie between them.

Because of this fact, gliders travelling outwards and then inwards have the illusion of travelling backwards through a Cordership. By increasing the distance travelled, the gliders can reach as far back as necessary. So when attempting to aim gliders at a point of interest, the path can be adjusted to within 8 diagonal cells of that point, simply by starting the gliders early enough in the Cordership, and then using the correct sized outgoing and incoming path.

This is the reason that it is almost never necessary to consider using a backward glider in a Cordership. Sideways ones are sufficient for placement. (Of course, at the last minute creating a backwards glider might be necessary to make a particular reaction work.)

Two reflectors placed back to back can shift the path of a glider stream without changing its direction. With the two types of reflectors, there are three such shifters available. One uses two type A reflectors, one uses two type B reflectors, and the third uses one of each type.

`#C Three lane shifting components composed of a pair of Cordership#C glider reflectors.#C Top: Phase change of 0, path shift of 3 + 8N.#C Middle: Phase change of 2, path shift of 2 + 8N.#C Bottom: Phase change of 3, path shift of 6.5 + 8N.x = 196, y = 572109bo6boo\$108bobo3bo3bo\$107bo3bobo3boo\$108bobobboboboo\$109bo3bobboo\$113bo4bo\$114bobbo10boo\$116bo11boo7\$136boo\$123bo12boo\$112b3o7bobbo\$111boboboo5bo3bo\$111boboboo5bo3bo\$111bo3bo5booboo\$112bobo7bobo\$113bo9bobo\$125bo7bo10boo\$123boo7b3o9boo\$124boobo3booboo\$124b3o3bobboo58b3o\$116boo7bo3boo64bo\$116boo4boo70bo\$122bo\$122b3o7\$96b3o\$98bo\$97bo3\$161b3o\$163bo\$162bo9\$64b3o\$66bo\$65bo\$104bo\$104bobo\$104boo23b3o\$131bo\$130bo3\$72b3o\$72bobo\$72bobo14boo\$72bo4boo9bobbo\$71b3o3boo10b3o\$77bo12boo\$32b3o38b4o13bo\$34bo39boo12boboo\$33bo40bo13b4o\$88bobobo\$75bo13booboo4bo\$73bobo12bo4bo3bobo\$72b4o13boo9bo\$72b3o15bo3bobboo\$74bo16bo3bo\$91bob3o\$91boobboo\$89b4oboo\$88booboobo\$88bo3bo\$89bobo\$90bo\$3o74boo19bo\$bbo74boo19boo\$bo91bo6bo\$93bo3bobo\$97boo\$93bobbo\$92bo\$91boo4boo\$85boo8bo\$85boo5boobbo\$93bobboo\$94bobbo\$94b3o\$95bo3\$93boo\$93boo134\$96b3o\$95bobbo\$94bo4bo\$94bobb3o\$94bo5bo\$95b7o\$101bo\$101bo\$99boo12boo\$113boo3\$98bo\$97bobo\$96boobo\$96boo\$97b3o21boo\$98bo22boo\$99bobbo\$96bo6bo\$96bo6bo\$96bo4b3o5\$109boo\$111bo\$101boo7bo\$101boo5boo\$107b3o\$106bobbo\$106bobo\$106b3o\$\$84b3o97boo\$86bo22boo72bobo\$85bo23boo74bo14\$52b3o97boo\$54bo96bobo\$53bo99bo10\$90bobo\$90boo\$91bo\$\$20b3o97boo\$22bo96bobo\$21bo99bo\$59bo\$58boo\$57b5o\$56bo19bo\$55boo5bo13bo\$54b3oboo8bobo5bo\$55boboboobboo3bobo\$56bobbobboo5bo\$58boo\$60boobo20boo\$63bo12b3o5boo\$74boobbo\$75b3o10bo\$76bo9bobbo\$86bo3bo\$90bo\$83boo5bo\$83bo5bobboo\$82bo9boo\$83b3o\$84bo\$64boo\$64boo7\$72boo\$72boo126\$95b3o\$94bobbo\$93bo4bo\$93bobb3o\$93bo5bo\$94b7o\$100bo\$100bo\$98boo12boo\$112boo3\$97bo\$96bobo\$95boobo\$95boo\$96b3o21boo\$97bo22boo\$98bobbo\$95bo6bo\$95bo6bo\$95bo4b3o5\$108boo\$110bo\$100boo7bo\$100boo5boo\$106b3o\$105bobbo\$105bobo\$105b3o\$\$83b3o90boo\$85bo22boo67boo\$84bo23boo66bo14\$51b3o90boo\$53bo91boo\$52bo91bo10\$89bobo\$89boo\$90bo\$\$19b3o90boo\$21bo91boo\$20bo91bo\$57bo\$57bo\$57bo\$60boo\$60boo12boo\$55bo3b3o11boo\$56b3o15bo\$57bo15b3o\$56boo15b3o\$56b3o16bo\$58bo14bobbo\$56bo16b3o5boo\$58bo15bo6boo\$56b3o23bo\$82boo\$84bo\$76b3o3boo\$74b3obbo\$70bob3obo3bo\$70b3oboo\$72boo3b3o\$76bo\$76bo\$61boo19bo\$61boo16boobbo\$78bo4bo\$76boo4bo\$76bo5bo\$80bo\$77boo\$77boo\$69boo7boboo\$69boo7bobbo\$78b3o6\$77boo\$77boo!`

By using combinations of these three components, the path of a glider can be adjusted to lie on any of the sixteen lanes. So full versatility is possible. All you have to do is add together the lane changes of the
individual shifters to get the desired lane change (modulo eight).

Here is an example. One component I will talk about in detail later is a small reflector which leaves blocks. Reflecting the gliders back from it to impact the blocks to form the nice honey farm reaction would be nice, but it it isn't possible with just the type B reflector due to a parity problem in the lanes.

`#C A Cordership using a block-producing reflector and a type of clean#C reflector that cannot be used to create a honey farm reaction from#C the blocks, no matter how many reflectors are used.x = 109, y = 23647b3o\$47bobo\$46bo3bo\$46bo3bo\$46bo17boo\$46bo4boo11boo\$46bo6bo\$47bo5bo\$47boo\$49bo3bo\$50bobo10boo\$64bo\$63b3o6boo\$47b3o22boo\$46bo3bo13bo\$47bobbo14bo\$49boo13boo\$\$45bo\$31boo7boobbobo\$31b3o6b4o3bo32boo\$31boobobo7bo35boo\$34boo10boboo9boboo\$46bobo8bo3bo\$19bo27bo9bo3bo9bo\$19bo37bobo11bo\$18bobo49bobo\$19boobbo47boobbo\$18bo5bo24bo20bo5bo\$18bo5bo23bobo19bo5bo\$18bo4bo10b3o11bobo19bo4bo\$22bo26bo24bo\$19b3o49b3o\$37bo\$36bobo\$17booboo15bo31booboo\$22bo51bo\$17boo50boo\$19b3o49b3o3\$63boo\$64bobbo4bo\$61bobb3obobbobo\$61bobbo4b4o9boo\$61bobbo17boo\$64bo6bo\$23boo38boobo\$23boo46bo\$69boo3\$90boo\$90boo\$\$31boo\$31boo\$\$80bo\$50bo29bobo\$49bobo17boo9b3o\$49bobboo15boo11bo\$47b7o12bo\$39boo5bobbo3bo11bobo\$39boo4b3obb7o7bobbo\$47b3obbo11bobbo\$48booboo11b3o\$49b3obobbo\$50b3oboo\$53bo\$\$47boo\$47boo12\$71bo\$69boo\$70boo30\$55bo\$53boo\$54boo6\$78b3o\$76b7o6bo\$75b9o4bo\$74bo7b3obboo\$75b3o6bo3bobbo\$76boo11b3o\$79bo10bo\$80bo18boo\$81bo17boo7\$99b3o5boo\$96boobobo5boo\$96bobbobo\$85boboo5b3o\$79boo4bobo3booboo\$79boo6boob3obbo4\$39bo\$37boo40boo\$38boo40boo\$79bo7boo\$87boo10\$84bo\$83bo\$83b3o\$47boo\$48boo\$47bo9\$bbo\$b3o14boo\$o10bobbo4bo\$booboo6b3obbo\$bb3oboo5boobbo3b3o\$4b4o9bobbo\$18b6o12\$7boo59bo\$7boo58bo\$67b3o6\$15boo\$15boo7\$23boo\$23boo7\$31boo\$31boo7\$39boo11bo\$39boo10bo\$51b3o6\$47boo\$47boo!`

The type A reflector can produce the honey farm reaction, but it requires quite a few of them to get to the right lane.

`#C A Cordership using a block-producing reflector and many copies of a#C single type of clean reflector producing a honey farm reaction useful#C for creating forward gliders.x = 395, y = 44940bo\$39b3o\$38b3obo14bo\$37boo3boo6bobbo3bo\$36boobobboo6bo3bobbo\$37booboboo5bo\$38b3oboo6boboo\$40bo4bo\$41b4o20boo\$43bo12boboo5boo\$32b3o21b3o\$31bo25bo\$31bo3bo\$29boo3boo\$28bobbobobbo\$28bobbobobboo15bo\$30booboobbo14bobo18boo\$31bo4bo15bobbo17boo\$34booboo14boo\$33b4o\$34boo13boo\$49boo3\$42bo\$27bo13bobo\$10b3o8bo5bo13bobo18b3o\$9bo3bo6bo7bo13bo18bo3bo\$10boo9b4obboo33boo\$12booboo9b3o35booboo\$14boo11bobo36boo\$28bo3boo\$28bo3boo7\$60bo\$58booboo12boo\$33boo40boo\$32bobo26boo\$16boo12bobboo27bo\$16boo9b7o3boo17bo3bo\$27boobobo4boo21bo3bo\$27boo\$29bo\$58bo24boo\$59b3o21boo\$\$24boo\$24boo33b3o\$59b3o\$59booboo\$63bo\$61b3o\$50bo\$49boo7bo\$32boo14bobob3obbobo\$32boo13b3o3boo3bo\$48boboboobobo\$49booboo\$50bob5obo\$54b4o3\$40boo\$40boo4\$71bo\$71bobo\$71boo30\$55bo\$55bobo\$55boo11\$77bo\$77bo5b3o\$76bobo3boobbo\$77bo3bo5bo\$77bo3bo\$82bobboo\$83boo11boo\$96boo7\$104boo\$90bo13boo\$80boo9boo\$79bob3o8boo44boo\$79bo3bo10bo39boo3bo\$39bo40boobo5b5o29b3o7bo6bo\$39bobo39bo10bo33b3o5bo3b5o\$39boo53bo31b3o6bo3bo\$93boo5bo11boo13bo11bobbo\$92booboo4bo10boo26boo7boo\$92bo8boo46boo\$91boboo3b4o\$84boo7bo4b3o\$84boo5bobo4bo\$91boo104boo\$91bo101boo3bo\$182b3o7bo6bo\$157boo26b3o5bo3b5o\$143boo12boo26b3o6bo3bo\$145bo40bo11bobbo\$143boo54boo7boo\$129boo77boo\$64boo63boo\$63bobo\$65bo\$256boo\$252boo3bo\$241b3o7bo6bo\$216boo26b3o5bo3b5o\$202boo12boo26b3o6bo3bo\$204bo40bo11bobbo\$136bo65boo54boo7boo\$135bo52boo77boo\$123boo10b3o50boo\$122bobo\$124bo\$315boo\$23bo287boo3bo\$23bobo6boo266b3o7bo6bo\$23boo6bobo241boo26b3o5bo3b5o\$o32bo39bo187boo12boo26b3o6bo3bo\$o71bo190bo40bo11bobbo\$bbo5bo63b3o120bo65boo54boo7boo\$bo6bobo183bo52boo77boo\$o3bobbo174boo10b3o50boo\$bobboboboo171bobo\$6boboo173bo\$374boo\$370boo3bo\$91boo266b3o7bo6bo\$90bobo241boo26b3o5bo3b5o\$92bo227boo12boo26b3o6bo3bo\$322bo40bo11bobbo\$38bo215bo65boo54boo7boo\$16boo18booboo212bo52boo77boo\$15bobbo19bo202boo10b3o50boo\$16boo35boo185bobo\$9boo3b3o35bobbo186bo\$7b3o4boo23boo11booboo\$bb3obo8boo21bobbo11bo\$6bobobb5o21boo3bo10b3o94boo\$7bo3b3o23bo4bo19boo85bobo241boo\$37bo3bo20boo87bo227boo12boo\$38bobbo78bo260bo\$39bo51bo27bo193bo65boo\$91bo27b3o190bo52boo\$55bo35bo208boo10b3o50boo\$8boo41bo3bo36boo205bobo\$8boo42bobbo5bob3o26b3o206bo\$52booboobboo3bo27boo\$53bobobboob3o43boo\$54bobboobbo45boo100boo\$59bo148bobo\$42boo15bo150bo\$42boo47bo87bo\$16boo43b3o26bobo57bo27bo193bo\$16boo43boo27bobbo24boo30bo27b3o190bo\$58bobboo54bobo30bo208boo10b3o\$59b3o57bo31boo205bobo\$60bo28bobbo58b3o206bo\$89boob3o56boo\$50boo39boobbo70boo\$50boo40bobbo70boo100boo\$24boo66bobo172bobo\$24boo78bobo162bo\$104bobo43bo87bo\$105bo43bobo57bo27bo\$149bobbo24boo30bo27b3o\$176bobo30bo\$58boo118bo31boo\$58boo35boo51bobbo58b3o\$32boo61boo51boob3o56boo\$32boo116boobbo70boo\$151bobbo70boo100boo\$151bobo172bobo\$163bobo162bo\$163bobo43bo87bo\$164bo43bobo57bo27bo\$103boo103bobbo24boo30bo27b3o\$40boo61boo130bobo30bo\$40boo195bo31boo\$154boo51bobbo58b3o\$154boo51boob3o56boo\$209boobbo70boo\$210bobbo70boo\$210bobo\$222bobo\$48boo172bobo43bo87bo\$48boo173bo43bobo85bo\$162boo103bobbo24boo58b3o\$162boo130bobo\$296bo\$213boo51bobbo\$213boo51boob3o\$268boobbo\$56boo211bobbo\$56boo211bobo\$281bobo\$281bobo\$282bo\$221boo\$221boo\$\$64boo206boo\$64boo206boo7\$72boo206boo\$72boo206boo7\$80boo258bo\$80boo257bo\$339b3o6\$88boo\$88boo7\$96boo\$96boo7\$104boo\$104boo7\$112boo210bo\$112boo209bo\$323b3o6\$120boo\$120boo7\$128boo\$128boo7\$136boo\$136boo7\$144boo162bo\$144boo161bo\$307b3o6\$152boo\$152boo7\$160boo\$160boo7\$168boo\$168boo7\$176boo114bo\$176boo113bo\$291b3o6\$184boo\$184boo7\$192boo\$192boo7\$200boo\$200boo7\$208boo66bo\$208boo65bo\$275b3o6\$216boo\$216boo7\$224boo\$224boo7\$232boo\$232boo7\$240boo18bo\$240boo17bo\$259b3o6\$248boo\$248boo\$\$260bo\$259bobo\$259bobo\$260bo\$\$255boo\$254bobbo\$255boo!`

By mixing the two types, less reflectors are needed.

`#C A Cordership using a block-producing reflector and several copies#C of two different types of clean reflectors producing a honey farm#C reaction useful for creating forward gliders.x = 218, y = 34744bo\$43bobo5bo\$49booboo\$43b3obbo3boo\$49booboo\$49b4o\$63boo\$63boo6\$51bo\$50bobo18boo\$50bobbo17boo\$51boo\$31bo\$30bobo14boo\$29bo3bo13boo\$30bobo\$31bo\$14bo24boo25bo12boo\$13bobo15b4o3bobbo23bobo11boo\$30bo4bo3boo\$13bobbo3bob3o7bo32bobbo3bob3o\$15bo4bo8bo3bobbo30bo4bo\$16boboobobo5bob3obo32boboobobo\$17boo3bo7b3obo34boo3bo\$18bo51bo3\$33b3o7boo7boo\$43b3o5b3o17b3o\$74bo\$36bo38bo\$35bobo38bo\$36bo37bobo\$25bo46boo3bo\$25b3o43boboobo\$17bo6bo3bo41bo4boo\$17bo3b3o4bo41boo\$17bo3b3oboboo28bo12bobbo\$21boo3bo29b3o13boo\$55b3obo7b3ob3o\$54boo3boo4boobbo\$53boobobboo4booboo11boo\$54booboboo4boo14boo\$55b3oboo5bobbo\$22boo33bo4bo4bobo\$22boo34b4o6bo\$60bo3\$85bo3boo\$83b4o\$82boo6bo\$30boo53bo\$30boo19bo33bo3bo\$50b3o32bobboo\$50bobbo29bo3bo\$50b3o26bo\$50b3o24boo\$49boboobo23boo\$50bobb3o\$38boo10b4oboo\$38boo11bob3o\$53b3o\$54boo\$\$50boo\$\$51b3o\$52boo\$52bo19\$63bo\$61boo\$62boo23\$78bo\$78bo\$77bobo\$78boobbo11boo\$77bo5bo9bobbo\$77bo5bo10boo\$77bo4bo12bo\$47bo33bo13bo\$45boo31b3o13boobo\$46boo45boo\$97bo\$76booboo12bob3o4boo\$81bo12bobbo4boo\$76boo16b3o\$78b3o4\$92boo36b3o\$95bo14boo\$92bobbo14boo22bo\$93boo35bo3boo12bo\$93boo37bobo13boo\$82boo8bobbo33b3o16bobo\$82boo8bo38bo\$93b3o51boo\$85boo43boo16boo\$86boo43boo14bobbo\$85bo45bo15b3o5boo\$131boo22boo\$130boo7\$145boo16boo\$144bobbo11bobboboo\$31bo112b3obobo8bo5boo\$29boo104boo8boboobbo7bobob3o\$30boo103boo11bobbo11boo\$53boo94bobbo10boo\$54boo23bobo67bobbo\$53bo25boo68bo\$80bo68bo\$148bo\$148bo3bo\$143boo3b4o\$143boo3\$164b3o\$112boo50bobo\$113boo49bobo14boo\$bbo109bo51bo4boo9bobbo\$bbo160b3o3boo10b3o\$bbo166bo12boo\$5boo14boo142b4o13bo\$5boo15boo142boo12boboo\$o3b3o14bo144bo13b4o\$b3o176bobobo\$bbo164bo13booboo3boo\$boo162bobo12bo3bo4boo\$b3o160b4o13b3o\$3bo10boo148b3o15bo\$bo11bobbo31bobo115bo\$3bo10boo23bob3o4bobo\$b3o33boobo4bo5bo79bo\$39boo4bobbobbo28boo48bo\$45bobbobbo29boo47b3o\$44bo4bo30bo97bo\$40bobbo16boo114b5o20bo\$41boo17boo114boo23bo\$169boo5boobboo\$63bobo103boo7b4o\$63boo114b3o\$64bo114bo\$6boo173bo\$6boo173bo3\$55bobobboo115boo\$41bo4bobo6bobboobbo114boo\$40bobobboobboo7boobbo\$40bob4obbobo5boobbobo85bo42bo\$14boo25bo6bobo49boo3b4o39boo\$14boo29bob3o45b3obobbo6bo37bobo45bo\$99bobbobb5o\$99bobbo84b3obo\$101bo85b3obo\$98bobo17boo68bo8boo\$48boo49bo18boo69bo3b3oboo\$48boo140bo6bo\$22boo167bobobobo\$22boo168bo15boo\$208boo3\$116b3o7boo\$56boo58bobo7boo\$56boo57bobbo\$30boo72b3o8bobbo3bo\$30boo67boo3b4o10bo3bo3bo89boo\$98boo3bo4bo13bo3bo36bo52boo\$103booboo9boo44bobo32b3o\$103b4o56boo31bo3boo\$104bo85b3o3bobobboo\$195bo5bo\$196bobboo\$38boo156bo\$38boo66boo\$106boo96bobo\$204bobbo\$207bo\$196boo6bo3bo\$196boo6bobbo\$117bobo86boo\$46boo71bo\$46boo152bo\$114bo24bobo39boo16bo\$114bobboo11bob3o4bobo40boo15b3o\$117boo9boobo4bo5bo38bo\$116boo12boo4bobbobbo\$136bobbobbo\$135bo4bo\$54boo75bobbo16boo\$54boo76boo17boo6\$150bo\$62boo84booboo6boo\$62boo95boo\$148bo4bo\$132bo4bobo9booboobo\$131bobobboobboo10bobbo\$131bob4obbobo13bo\$132bo6bobo\$136bob3o\$70boo\$70boo3\$139boo\$139boo3\$78boo\$78boo104bo\$183bo\$183b3o4\$149bo\$86boo62bo\$86boo62bo7\$94boo\$94boo7\$102boo\$102boo7\$110boo\$110boo56bo\$167bo\$167b3o5\$118boo\$118boo7\$126boo\$126boo7\$134boo\$134boo7\$142boo\$142boo8bo\$151bo\$151b3o4\$158bo\$150boo5bobo\$150boo5bobo\$158bo\$\$153boo\$152bobbo\$153boo!`

For my Cordership, I only used the type B reflector, and achieved the other lanes I needed using more complicated components. (That was because I had misfiled the type A reflector and forgot about it.)
Having both available should allow for a simpler Cordership.

I intend to discuss the debris-leaving reflectors and the stable object eating crawlers next.

BCNU,
-dbell

### Re: Cordership made using individual switch engines

Posted: December 28th, 2017, 7:15 am
This second discussion of the technology based on individual switch engines describes the reactions I found which leave or consume simple debris, either stand-alone or as part of a glider reflection.

As before, I reported the basics of many of the components many years ago. The dates shown for old results are an estimate.

Some of these patterns show a supporting period 96 rake for convenience. It is implicitly assumed that all these components are based on a uninterrupted period 96 glider stream or stable objects with a spacing of 8 diagonal cells.

Debris-creating reflectors

I found two single switch engine components which reflect gliders while at the same time leaving a line of stable debris behind.

`#C Two single switch engine components which reflect sidewards gliders while#C leaving a trail of simple objects, supported here by Cordership rakes.#C On the left: block producer, lane shift 5, phase shift 0.#C On the right: sideways boat producer, lane shift 4, phase shift 1.#C David I. Bell, December 2003x = 488, y = 21840bo\$40bo5b3o\$39bobo3boobbo\$40bo3bo5bo\$40bo3bo\$45bobboo\$46boo11boo\$59boo6\$47bo\$46bobo18boo325bo\$46bobbo17boo323booboo\$47boo345bo\$27bo381boo\$26b3o14boo363bobbo\$25booboo13boo350boo11booboo\$26b3o365bobbo11bo\$27bo365boo3bo10b3o\$10bo16bobo5boo25bo12boo316bo4bo19boo\$10bo16b4o3bobbo24bo12boo316bo3bo20boo\$10bo8bo10bo4boo25bo8bo322bobbo\$17bobo49bobo323bo\$11b3obbo3bo5booboo32b3obbo3bo\$12bob5o6bo5bo32bob5o\$18bo7bo3bo39bo312bo7bo14boo\$13boo12bo37boo315b3o5bobo12boboo\$381boob4obbobbo10boo20boo\$30bo351b3obbo18bo19boo\$30bo8bobo5bobo18bo314bobboobbo\$30bo8bobo5bobo18boo317boobobo\$40bo7bo19b3o320bo10boo\$32bo38bo330boo\$31bobo38bo\$32bo36bob3o288b3o49b3o\$21bo46bo3boo292bo28bo22bo\$20b4o43bobooboo292boo13bo12bobo21boo\$18b5obo41bobob3o293bobbo11bo12bobo21bobbo\$12b3obbo6boo39b3o299bobo11bo13bo23bobo\$16bo3bob3o27b3o11bobbo297bo51bo\$17bobobboo27bo12b3o3bo295boo15bo34boo\$50bo4boo5b6obo295bobo14bobo32bobo\$49bo3bo7bo6bo298boo14bo35boo\$49bobbo4bobbo3boo11boo285boo50boo\$49bo3bo3bo6boo11boo287bo51bo\$50boobob3o3b4o\$18boo33bo9bobo346b3o\$18boo34b4o6bo346bo3bo\$56boo352bo4bo\$409bo3bo\$409bobbob3o\$81boo326bo7bo10boo\$78booboobboo324bo3bobo10boo\$78boobbo328bo3boboo\$26boo52bo288boo42b3oboo\$26boo18b3o31b3oboo283boo\$46bobo31boboboo\$45bo3bo34bo\$45bo3bo24bo\$45bo27bo339boo21boo\$45bo4boo21b3o337boo21boo\$45bo6bo361bo\$34boo10bo5bo324boo\$34boo10boo329boo35bo\$48bo3bo\$49bobo\$418b3o\$420bo\$46bo363boo6bobo\$47bobo350b5o5boo6boo\$385boo11boo5boo\$48boo335boo11bo7bo\$398boo7bo\$400boo6bo\$403bo\$403bo4bo\$404boobo\$\$393boo\$393boo7\$421bo\$420bo\$420b3o\$\$58bo\$57bo\$57b3o17\$486bo\$486boo\$485bobo6\$121b3o\$123bo281bo\$122bo281bo\$404b3o\$\$42bo\$41bo\$41b3o\$454bo\$454boo\$453bobo6\$89b3o\$91bo\$90bo6\$422bo\$422boo\$421bobo6\$57b3o\$59bo329bo\$58bo329bo\$388b3o\$\$26bo\$25bo\$25b3o\$390bo\$390boo\$360bo28bobo\$360bo5b3o\$359bobo3boobbo\$360bo3bo5bo\$bbo357bo3bo\$b3o361bobboo\$25b3o338boo\$b3o23bo\$bbooboo19bo\$4bo5\$bbo\$bobo369bo\$bbo360boo9boo\$14boo346bob3o8boo\$boo10bobbo345bo3bo10bo\$obo11boo347boobo5b5o\$364bo10bo\$3obobo\$4b3o\$4boo376bo\$383boo13boo\$382b3o12bobo\$367boo14b3o12bo\$367boo14boo\$377boo\$375bobbo4bo\$6boo368bobo5bo\$6boo\$406boo\$405bobo\$375bo11bo18bo\$375bo11boo\$375bo13bo\$388bo\$14boo\$14boo\$414boo\$413bobo\$414bo4\$22boo\$22boo\$422boo\$421bobo\$422bo4\$30boo\$30boo!`

I only made use of the block-producing reflector in my Cordership.

The line of objects left behind by these reflectors can be perturbed by the edges of many components as they pass by. The perturbing components can be clean reflectors, debris-leaving reflectors, or eaters. There are a great many such perturbations.

For example, here is how a sidecar can delete a line of blocks.

`#C Sparks from a 'sidecar' switch engine component can delete blocks.#C Many other types of perturbations are possible.#C David I. Bell, December 2003x = 195, y = 165149bo\$145b5o7boo\$145bo3bobo4b3o\$145b3o3b3o3b3o\$151boobb3o\$151bo\$148b3o16boo\$148boo17boo6\$155bo\$154bobo18boo\$134b3o17bobbo17boo\$134bobbo17boo\$137bo\$134boo15boo\$133bobo15boo\$134bobb3o\$135boobbo\$135bo3bo4bo38boo\$121bo14bobo4bobo27bo9boo\$116bobbobobbo3bo9bo4bobo22bobbobobbo3bo\$116bo4boob5o6bobbo5bo23bo4boob5o\$116bo3bo4bobo7bo32bo3bo4bobo\$\$118b3o13bo35b3o\$119bo14bo36bo\$135bo\$135bo4\$oo138bo\$oo137bobo\$140bo\$176boo\$135boo38b3o\$134booboo36bo5bo\$123boboo7booboo38bo\$119b3oboobo9b3o22b3o11bo7bo\$8boo110bo3bobo34bobo11b5o3bo\$8boo111bo3bo35b3o11bo5bobo\$174bo\$185boo\$163boo20boo\$161booboo\$126boo33boobboo\$126boo32boo3boo\$16boo143boobboo\$16boo144bobo\$\$154b3o\$153bobbo31bo\$152bo4bo29bobo\$134boo16bobb3o28bo\$134boo16bo5bo27bobbo\$24boo127b7o27boo\$24boo133bo33boo\$159bo33boo\$157boo33boo3\$142boo34bo\$142boo34bobo\$32boo144boo\$32boo7\$40boo\$40boo7\$48boo\$48boo7\$56boo\$56boo5\$162bo\$162bobo\$64boo96boo\$64boo7\$72boo\$72boo7\$80boo\$80boo7\$88boo\$88boo5\$146bo\$146bobo\$96boo48boo\$96boo22bo\$119b3o\$118booboo\$119b3o14bo\$120bo14b3o\$120bobo11bo3bo\$120b4o9boobb3o\$104boo17bo10bo3bo\$104boo28bobbo\$119booboo11bobo6boo\$118bo5bo19boo\$119bo3bo\$120bo\$\$135boboo\$112boo20b5o\$112boo20b4o\$\$135b3o\$135b3o\$136bo\$124boo\$124boo\$120boo\$120boo5\$132boo\$132boo\$128boo\$128boo!`

Here is an interesting component which acts as a spacer for a glider stream. This demonstrates that all of the objects created by debris-producing reflectors can be cleaned up.

`#C A spacing component for sideways gliders such as that emitted by#C Cordership rakes.  This is composed of four copies of a block-#C producing glider reflection component whose blocks are all deleted#C by sparks.  The lane change is 4 + 8N, phase change is 0.#C David I. Bell, December 2003x = 118, y = 31770bo\$53b3o8bo5bo\$52bo3bo6bo7bo\$53boo9b4obboo\$55booboo9b3o\$57boo11bobo\$71bo7boo\$71bo7boo4\$46b3o\$45bo3bo\$44bo3boo17bo\$45bo20bobo18boo\$46b4o16bobbo17boo\$48boboo15boo\$48bobbo\$49boo12boo\$63boo3\$56bo\$39bo15bobo\$25boo7boobbobo14bobo19boo7boo\$25b3o6b4o3bo14bo20b3o6b3o\$25boobobo7bo38boobobo\$28boo10boboo36boo\$40bobo\$41bo4boo\$46boo8\$89boo\$47boo25bo14boo\$39boo4boboo24bobo\$30boo5bo3bobobo26booboo\$30boo6booboboo6boo19boo\$38bo3boo7boo25boo\$72b3obbo\$76boboo\$74bobbo19boo\$77bo19boo\$75boo\$38boo\$38boo35bo\$73booboo\$76bo\$73bo\$75bo\$\$64bo\$46boo15bobo5bo\$46boo21booboo\$63b3obbo3boo\$69booboo\$69b4o4\$54boo\$54boo\$\$87bo\$86bo\$86b3o30\$71bo\$70bo\$70b3o30\$55bo\$54bo\$54b3o21\$71b3o\$70bo3bo\$70bo3bo\$70bo3bo12b3o\$87b3o\$71booboo9boo4bo\$72bobbo9b3obobo\$73bobo10boo3bo\$74boo10b5o\$39bo31bo3bo12bo7boo\$38bo31bobobobo19boo\$38b3o30bo5\$88boo\$104boo\$104boo\$\$84boo\$\$68b3o\$70bo\$69bo\$112boo\$96b3o13boo\$113bo\$97bo15boo\$97boob3o10boo\$96bob4o11boo\$96bob3o\$97b3o15bo\$98bo14boobbo\$66bo45bo4bo\$65bo45bo\$65b3o27booboo15boo\$95booboo12booboo\$36b3o57boboo14bo\$38bo58boo\$37bo\$23bo\$bboo18bo\$3bobbo4bo10b3o\$obb3obobbobo\$obbo4b4o\$obbo\$3bo6bo84b3o\$bboobo91bo\$10bo85bo\$8boo11\$3bobbo\$4b3ob3o\$4boobobo53b3o23bo\$6b3o56bo22bo\$7boo55bo23b3o\$50bo\$29boo18bo\$30bobbo4bo10b3o\$10boo15bobb3obobbobo\$10boo15bobbo4b4o\$27bobbo\$30bo6bo\$29boobo\$37bo\$35boo\$\$18boo\$18boo7\$26boo\$26boobbobbo\$31b3ob3o\$31boobobo\$33b3o\$34boo5\$73bo\$72bo\$72b3o30\$57bo\$56bo\$56b3o30\$41bo\$40bo\$40b3o!`

Even better are these two simple components which produce the desirable honey farm reaction. These new ones are much smaller than the ugly components used in my Cordership.

`#C Two small related components which produce the honey farm reaction.#C They use sparks from a reflector or an eater component to turn blocks#C into honey farms.  There are shown here supported by sideways gliders#C from Cordership rakes.#C David I. Bell, 26 December 2017x = 452, y = 30075bo\$74b3o\$73b3obo\$72bo3bo257bo\$71boobbobbo255bo5b3o\$70b3obb4o254bobo3boobbo\$72bo3bobbo254bo3bo5bo\$72bo6bo254bo3bo\$74bobbo261bobboo\$76booboo259boo11boo\$76bo14boo260boo\$91boo3\$75boo\$74bobo\$75bo265bo\$73bobobbo261bobo18boo\$73b3ob3o19boo239bobbo17boo\$73boobo3boo17boo240boo\$78bo242bo\$57bo23bo238b3o14boo\$56boboo15boo242booboo13boo\$60bo14boobbo240b3o\$54bo3bobbo259bo\$52bo9bo21b3o217bo16bobo5boo25bo12boo\$46bo5bo4boobboo4bobboo11boobboobo7bo8boo195bo16b4o3bobbo24bo12boo\$44booboo12boo4b5o12bo4bobo4booboo6boo195bo8bo10bo4boo25bo8bo\$44booboo5bo5bo7b3o13bob4oboo3booboo210bobo49bobo\$44boo9bo4b3o22bo4bo5boo207b3obbo3bo5booboo32b3obbo3bo\$46boobo6bo4boo18boo15boobo204bob5o6bo5bo32bob5o\$47bobbo7b4o19boo16bobbo209bo7bo3bo39bo\$47bobbo48bobbo204boo12bo37boo\$48boo25b3o22boo\$74b5o245bo\$62bo10bobbobbo244bo8bobo5bobo18bo\$62bo11b5o245bo8bobo5bobo18boo\$62bo12b3o256bo7bo19b3o\$46b3o27bo21b3o225bo38bo\$64bo260bobo38bo\$46bobo14bobo32bobo225bo36bob3o\$47bo16bo34bo215bo46bo3boo\$48bo51bo213b4o43bobooboo\$48boo50boo210b5obo41bobob3o\$45boboobo46bobooboo202b3obbo6boo39b3o\$45b4oboo45boobbo208bo3bob3o27b3o11bobbo\$46b5o46boo3boo207bobobboo27bo12b3o3bo\$48boo52bo241bo4boo5b6obo\$343bo3bo7bo6bo\$85bobo6bo248bobbo4bobbo3boo11boo\$84bo9boboo11boo232bo3bo3bo6boo11boo\$85bobbo6b3o3boo6boo233boobob3o3b4o\$87b3o9bobboo208boo33bo9bobo\$50boo48boboo208boo34b4o6bo\$50boo49bo248boo3\$375boo\$117boo253booboobboo\$117boo253boobbo\$320boo52bo\$58boo50b3o207boo18b3o31b3oboo\$58boo48bo4bo226bobo31boboboo\$79bo30boboo225bo3bo34bo\$79bo27b3o229bo3bo24bo\$79bo26bo232bo27bo\$76bob3obo256bo4boo21b3o\$76bob5o256bo6bo\$80bobo245boo10bo5bo\$66boo9boo9bo239boo10boo\$66boo9boo263bo3bo\$78bo264bobo\$78boo8bo3bo\$79bo3boo\$79bo10boo248bo\$77boboo260bobo\$78bo\$74boo266boo\$74boo16\$93bo\$92bo\$92b3o257bo\$351bo\$351b3o28\$77bo\$76bo\$76b3o257bo\$335bo\$335b3o28\$61bo\$60bo\$60b3o257bo\$319bo\$319b3o27\$318bo\$45bo271b3o\$44bo271b3obo14bo\$44b3o23bo233bo10boo3boo6bobbo3bo\$56boo7boobbobo231bo10boobobboo6bo3bobbo\$56b3o6b4o3bo230b3o9booboboo5bo\$56boobobo7bo246b3oboo6boboo\$59boo10boboo243bo4bo\$71bobo245b4o20boo\$72bo8boo238bo12boboo5boo104boo\$81boo251b3o113boo\$335bo113bo5\$351boo\$89boo260boo\$75bo13boo\$75boo\$76bo246boo\$61boo12bo247boo\$61boo24bo\$87bo\$\$76bo340boo\$95bo322boo\$74bobbo16bobo320bo3\$319b3o\$68bo252bo\$68bobo249bo\$29bo38boo257bo\$28bo25b3o270bobo\$28b3o25bo231bo38boo\$55bo231bo\$287b3o4\$385boo\$386boo\$385bo\$264bo\$263b3o\$287b3o\$263b3o23bo\$264booboo19bo\$b3o262bo\$bobo18b3o\$bobo20bo\$bo4boo15bo\$3o3boo\$6bo257bo\$bb4o257bobo\$3boo259bo\$3bo272boo75boo\$14boo247boo10bobbo75boo\$4bo8bobbo245bobo11boo75bo\$bbobo9boo\$b4o257b3obobo\$b3o262b3o\$3bo48bo213boo\$52bobo232bo\$52boo233bo23bo\$286bobo22bobo\$287boobbo11boo6boo\$24bobo259bo5bo9bobbo\$23bobbo259bo5bo10boo\$24bobo241boo16bo4bo12bo\$6boo32boo226boo20bo13bo\$6boo32bobo244b3o13boobo\$26bo13b3o259boo17boo\$25boboo11bobbo262bo15boo\$25boboo12bo243booboo12bob3o4boo8bo\$24bo3bo12bo7boo239bo12bobbo4boo\$25b4o20boo234boo16b3o\$25b3o15bo232boo9b3o\$14boo24bo235boo\$14boo24bobbo\$39b3o\$39b3o259boo\$39bobbo261bo\$40bobo258bobbo\$40b3o259boo\$284boo16boo\$22boo260boo5boo8bobbo\$22boo5boo260boo8bo\$29boo271b3o5\$292boo\$30boo260boo5boo\$30boo5boo260boo\$37boo5\$300boo6bo\$38boo6bo253boo5bobo\$38boo5bobo259bobo\$45bobo260bo\$46bo\$303boo\$41boo259bobbo\$40bobbo259boo\$41boo!`

Assisted reflectors

Some reflectors require the presence of a line of stable objects in addition to the glider stream. The line of objects is consumed by the switch engine. Here are two of them.

`#C Two switch engine components that reflect a sideways glider stream#C while consuming a diagonal row of boats.#C On the left: Lane change of 1.5 + 8N, phase change of 2.#C On the right: Lane change of 3.5 + 8N, phase change of 3.#C Other objects such as blocks can also be consumed in the same manner.#C David I. Bell, December 2003x = 458, y = 195425bo\$423booboo\$425bo\$440boo\$439bobbo\$426boo11booboo\$425bobbo11bo\$424boo3bo10b3o\$424bo4bo19boo\$424bo3bo20boo\$425bobbo\$426bo\$\$442bo\$438bo3bo\$439bobbo\$439booboo\$436bo3bobo10b3o\$436bo4bo11boobo\$135bo320boo\$134b3o292boo15boo3boobboo\$133boobbo291boo14booboo\$132boobboo296boo8bo4bo\$133boo282b3o13boo8b3o3bo\$134b5o278bobo14bobb3obbo4boo\$138boo277b3o14boobboobbobo\$136bobbo294boobbo4boo\$137boo12boo282b3o\$151boo266boo15bo\$417booboo\$402b3o6bo5boobboo\$401bo4bo3bobo3boo3boo\$135b3o263bo4boo3bo5boobboo\$135bobo263bo6bo9bobo\$135bo266b3obobbobo\$135bobbo20boo245b5o\$136bobo20boo250bo\$137b3o\$139boo\$133b3o4boo273boo\$139boo273bobbo\$415boo\$127b3o\$126bobbo\$125bo4bo\$125bobb3o275boo\$125bo5bo274b4o5boboobo\$126b7o271boob3o5bo3bob4o\$132bo271boo3boo14bo\$132bo271boobobo9bob4o\$130boo277bo5bobobbo\$406b3o\$\$399bo\$107bo287b4oboo5b3o\$106boo286boob3oboo4b3o\$105b5o285bob3obo7boo\$104bo291bo3b4o4boo\$103boo5bo6boo280boob3o\$102b3oboo8bobbo280b5o\$103boboboobboo4boo257bo24bo\$104bobbobboo260boobobo7bo\$106boo264bobbooboobbooboo\$108boobo260bo5bobo5bo10bo\$111bo261boobbo8bo9bobo\$377bobb3obbo\$125boo250b3o18boo\$124bobbo267b3o\$125boo4\$393bo\$134bo257b3o\$136bo254b3obo\$133bo256bo4bo\$380bobbo10bo\$104bo12bo16bo248b3o3boo6bobo\$103bobo10bobo16boo238boo3boob4o10boo\$102bo3bo9bobo256boo9boo10bo\$103bobo\$104bo\$121bo260bo\$104b4o9booboo\$103bo4bo10bo\$80b3o22bo9b3o\$80bobo19bo3bobbo6bobo264boo\$80b3o19bob3obo7b3o174bo89boo22bo\$96boo5b3obo184bobo111bo\$95bobboo192boo112b3o\$82boo11booboo20boboo\$80booboo14bo20bobbo\$80boobboo10boo22b3o\$79boo3boo11bo\$80boobboo\$81bobo217bo\$300bobo\$300boo\$\$97b3o\$94b3obo\$95booboo\$bo93booboo\$obo94bo211bo\$oo306bobo\$85boo221boo\$85boo4\$9bo\$8bobo306bo\$8boo306bobo\$93boo221boo\$93boo4\$17bo\$16bobo306bo65bo\$16boo306bobo63bo\$324boo64b3o\$109bo\$108bo\$108b3o\$\$25bo\$24bobo306bo\$24boo306bobo\$332boo5\$33bo\$32bobo306bo\$32boo306bobo\$340boo4\$440boo\$41bo399boo\$40bobo306bo90bo\$40boo306bobo\$348boo5\$49bo\$48bobo306bo17bo\$48boo306bobo15bo\$356boo16b3o\$93bo\$92bo66boo\$92b3o63bobo\$160bo247boo\$57bo351boo\$56bobo306bo42bo\$56boo306bobo\$364boo\$353bo\$353bo7bo\$353bo5b3o\$352boo3bobo\$65bo292bobbo\$64bobo290bobboo\$64boo3\$127boo\$126bobo\$128bo247boo\$73bo303boo\$72bobo301bo\$72boo286boo\$355b3obobbo\$353boobb3obo\$353bobb5o\$63b3o287b3o\$63bobbo\$66bo\$63boo\$62bobo\$63bobb3o\$64boobbo8bo\$64bo3bo7bo18boo\$65bobo8b3o15bobo\$67bo28bo\$64bobbo\$64bo\$\$63boobbo\$64b3o!`

The reaction on the right was used in my Cordership.

Another dirtier reaction was used as a glider duplicator, and will be shown in my next message.

Debris-creating eaters

There are many components which consume a glider stream without reflecting it, leaving some simple debris.

Here is one which doesn't seem useful, but it is simple and produces symmetrical output, and shows how close the switch engine is to being a period 96 puffer.

`#C A switch engine which creates two diagonal lines of blocks.#C It must be supported by a sideways glider stream such as that#C produced by a sideways Cordership rake.#C David I. Bell, December 2003x = 259, y = 91168bo\$167b3o14boo\$166bo10bobbo4bo\$167booboo6b3obbobbo\$168b3oboo5boobbobbo\$170b4o9bobbo\$184b3o6boo\$193boo5\$27bo\$26b3o\$25b3obo171boo\$24bo3bo172boo\$23boobbobbo\$22b3obb4o\$24bo3bobbo141boo\$24bo6bo141boo\$26bobbo\$28booboo\$28bo14boo164boo\$43boo164boo3\$27boo152boo\$29bo140b3o8boo\$27boo143bo\$171bo\$51boo164boo\$51boo164boo\$43bo\$43bo\$25b3o16bo144boo\$17bo11boo158boo\$14b4o13bo\$29bobo\$59boo164boo\$59boo164boo\$17bobo\$18bo\$16boo179boo\$16bobbo118b3o56boo\$o14booboo120bo\$o138bo\$o8bo57boo164boo\$7bobo15boo40boo164boo\$b3obbo3bo13bobbo\$bbob5o16boo\$8bo196boo\$3boo200boo\$60bo\$60bo\$59bobo179boo\$20boo38boobbo176boo\$20boo37bo5bo\$59bo5bo\$16boo41bo4bo148boo\$15bobbo44bo42b3o104boo\$11bo4bobo41b3o45bo\$10b4o3bo89bo\$8b5obo234boo\$bb3obbo6boo42booboo186boo\$6bo3bob3o12bo11bo23bo\$7bobobboo12b3o9b3o14booboo\$25b3obo7bo10bobbo4bo3b3o158boo\$24bo3bo9booboo6b3obbobbo163boo\$23boobbobbo8b3oboo5boobbobbo\$22b3obb4o10b4o9bobbo\$24bo3bobbo23b3o199boo\$8boo14bo6bo225boo\$8boo16bobbo\$28booboo\$28bo200boo\$74b3o152boo\$76bo\$75bo\$\$16boo\$16boo\$40boo\$40boo195boo\$237boo6\$48boo\$48boo!`

There are many other reactions which produce multiple objects. I didn't bother to collect many of these. I had hoped that there would be a way to generate a glider duplicator from some such result. Here is an example of the rather useless reactions.

`#C A switch engine which creates loafs and blocks.#C It must be supported by a sideways glider stream such as that#C produced by a Cordership rake.#C David I. Bell, December 2003x = 260, y = 97168boo\$168b3o\$168boobo\$172bo13bo\$164bo3boo3bo12bo\$174bo11bo\$171bobo\$171bo\$166bo4bobo13bo\$185booboo4boo\$170b4o20boo\$170boo12bobo\$184bo3bo\$184boobbo\$185b3o\$186bo\$194bo\$193bobo6boo\$194boo6boo\$24b3o\$24b3o\$25bo148boo17bo3bo\$26boo146boo16bob6o\$27bo164bo8bo\$26bo14boo147boo5bobobo\$41boo147bo4bo4bo9boo\$190bo3bo15boo\$192bo\$24boo\$24boo166bo\$25bo164booboo\$25bo15bo147b4o\$24bobo15boo5boo114boo\$23bo16bobo6boo113bobo51boo\$24bobboo11bo125bo51boo\$25bo3bo11boo\$27boo14bo\$27bo13b3o149bo\$13bo28bo149bobo\$12bobo25boo150bobbo\$11bo3bo13boo26boo134boo\$11bo3bo13boo8boo16boo167boo\$11bobob3o21boo185boo\$12boobobbo\$16bobo\$16boo24boo157bo\$bbo39boo156bobo\$bobo196bobbo\$bobo61boo66boo66boo\$bobbo18boo40boo65bobo99boo\$bbobo17bobbo108bo99boo\$5bo17boo\$4boo\$4bo204bo\$208bobo\$208bobbo\$209boo\$bbo15boo37bobo182boo\$bobo14boo36bobbo182boo\$3bo53bobo\$3bo10boo\$3bo9bobbo200bo\$14bobo42bo156bobo\$4bo10bo42boboo154bobbo\$oob3o52boboo39boo114boo\$bb3oboo49bo3bo38bobo147boo\$5bo35boobo13b4o40bo147boo\$40b3obo6bobo4b3o\$39bo4bobo4bo\$40boo6bobo3bo170bo\$41bo3bobbobboo171bobo\$24b3o17boboo3bo172bobbo\$24b3o16bobo179boo\$6boo17bo17bobo212boo\$6boo18boo230boo\$27bo\$26bo\$233bo\$232bobo\$232bobbo\$24boo43boo162boo\$14boo8boo42bobo\$14boo9bo44bo\$38boo\$38boo\$241bo\$240bobo\$240bobbo\$241boo3\$46boo\$46boo\$249bo\$248bobo\$248bobbo\$249boo!`

The worm

I found a really nice component which can crawl up a diagonal line of many types of objects while leaving behind a line of sideways boats.

`#C A 'worm' component made from a single switch engine which crawls#C up a diagonal line of stable objects by consuming them and leaving#C behind a line of sideways boats.  Three instances of the worm are#C shown here supported by a sideways Cordership rake.#C David I. Bell, December 2003x = 275, y = 49858boo\$\$57bo3bo\$62bo\$55bo7bo\$54bo4bo\$55bobobo4bo\$55bo8bo\$56bo4boobo\$57boboob3o\$58b3oboo\$75boo\$75boo3\$59boo\$59b3o\$58boo\$58boo3bo\$57b3o3bo19boo\$57bo5b3o17boo3\$40b3o16boo\$44bo14boo\$44boo\$29b3o12bobbo20bo3boo7b3o\$28bobbo13bobo3bo14boo4b4o4bobbo7boo\$27bo4bo12bo5boo14boo4b3o3bo4bo6boo\$27bobb3o11boo6bo14b3o5boobbobb3o\$27bo5bo9bobo23b7o3bo5bo\$28b7o10boo18boo3b6o4b7o\$34bo7boo21boo4b3o12bo\$34bo9bo41bo\$32boo24bo3bo21boo\$57bobobobo\$56bobbobobbo\$45b3o\$31bo25booboboo19bo\$30bobo49bobo\$29boobo15bo10b3o19boobo\$29boo16bobo31boo\$30b3o15bo33b3o\$31bo51boboo\$32bobbo46boobbo\$29bo6bo45boboboo\$29bo6bo46booboo\$29bo4b3o46b3oboo\$86bo\$\$69bobo\$68booboo5booboobboo6boo\$69boboo5boo4b4o5boo\$73bo6booboobbo\$34boo36bo10booboo\$34boo36bo12boo4\$101boo\$101boo\$95boo\$42boo50bobbo\$42boo50bobbo\$93b5o\$62b3o25booboo\$92bo\$66boo\$68bo\$62b4obo\$50boo10b5o\$50boo\$\$62bobo\$62bobo\$63bo\$62bobo\$63boo\$58boo3bo\$58boo17\$77bo\$75boo\$76boo30\$61bo\$59boo\$60boo13\$151boo\$152boo\$151bo14\$119boo\$45bo74boo\$43boo74bo\$44boo13\$87boo\$88boo\$87bo14\$55boo\$29bo26boo\$27boo26bo\$28boo12\$b3o\$bobbo18boo\$4bo19boo\$boo20bo\$obo\$bobb3o\$bboobbo\$bbo3bo\$3bobo\$5bo\$bbobbo8boo\$bbo10bobbo\$14boo\$boobbo\$bb3o9\$6boo\$6boo7\$14boo\$14boo7\$22boo\$22boo7\$30boo\$30boo7\$38boo\$38boo7\$46boo\$46boo7\$54boo\$54boo4\$53boo\$43bo3boo4b3o\$43boboobbo6bo\$43bobb5obb4o5boo\$47b3o3b3o6boo\$46b3o\$46boo\$46bo9\$52bo8boobbo\$51bobbo5b3obboo\$45b3obbo3bo6boobb3o\$45b3obbo4bo5boobboo\$49bo3boo\$53boo\$50boo\$64bo\$63boo19boo\$62boobo17bobo\$53boo6bo8bo13bo\$53boo5boobbo3boo\$59b3oboo3bo\$60boobbo3b3o\$61bo\$62boobo\$63boo27boo\$64bo26bobo\$61bo30bo\$61bo\$61bo4\$100boo\$99bobo\$100bo6\$108boo\$107bobo\$108bo6\$116boo\$115bobo\$116bo3\$140b3o\$\$141bo15boo\$124boo15boob3o10boo\$123bobo14bob4o11boo\$124bo15bob3o\$141b3o15bo\$142bo14boobbo\$156bo4bo\$155bo\$139booboo15boo4boo\$132boo5booboo12booboo4boo\$131bobo6boboo14bo\$132bo8boo3\$167bo\$156bo9b3o\$155b4o6b5o3b3o\$140boo13b4o5bo5bo\$139bobo21boobbobboo\$140bo21boobb3obboo\$155b4o5bo5bo\$156b3o\$157bo\$166b3o\$166bobo\$165bobbo13\$164bo\$163bobo\$163boo6\$172bo\$171bobo\$171boo6\$180bo\$179bobo\$179boo6\$188bo\$187bobo\$187boo6\$196bo\$195bobo\$195boo6\$204bo\$203bobo\$203boo6\$212bo\$211bobo\$211boo6\$210boo8bo\$200bo3boo4b3o6bobo\$200boboobbo6bo5boo\$200bobb5obb4o\$204b3o3b3o\$203b3o\$203boo\$203bo9\$209bo8boobbo\$208bobbo5b3obboo\$202b3obbo3bo6boobb3o\$202b3obbo4bo5boobboo\$206bo3boo\$210boo\$207boo\$221bo\$220boo19boo\$219boobo17bobo\$210boo6bo8bo13bo\$210boo5boobbo3boo\$216b3oboo3bo\$217boobbo3b3o\$218bo\$219boobo\$220boo27boo\$221bo26bobo\$218bo30bo\$218bo\$218bo4\$257boo\$256bobo\$257bo6\$265boo\$264bobo\$265bo6\$273boo\$272bobo\$273bo!`

As the pattern shows, the worm can be supported by blocks and by sideways boats (among other possibilities). Commonly it is used to process the blocks left behind by the block-producing reflector component, as shown.

The worm can be attached to either side of the block line so as to first produce boats facing either of the desired sideways directions. After that, additional worms can be attached to the boats to flip them over to face the other way.

After two worms have flipped a line of boats back and forth, the distance between the old and new boats is shifted by 5 + 8N diagonal cells. This means that the boats can be positioned to any of the 8 major types of lanes. This is useful when reacting with gliders which have been reflected back as shown below.

The major feature of the worm is that unlike all of the other switch engine based components, its timing can be adjusted by advancing or delaying it by any number of generations. This allows two components to be connected together easily by eliminating any phase problems beween them.

The original phase adjuster is shown here. A new version which is much smaller will be shown in my next message.

`#C An early version of a switch engine based phase adjuster component as#C used in the first Cordership built from individual switch engines.#C The 'worm' component near the back where the gliders are being emitted#C can be advanced or delayed by a number of generations to affect the#C timing of the emitted gliders.#C David I. Bell, 22 December 2017x = 450, y = 73290b3o\$91bo\$91bobbo\$91bobbo\$92bobo\$107boo\$107boo3\$91bo\$90bobo\$91bo\$108bo\$107bo7boo\$89b4o22boo\$89boo3bo10bo\$90bo4bo9bobo\$92boboo10bo\$93bo\$90boo\$73b3o8bo5bo\$72bo3bo6bo7bo11b3o17boo\$73boo9b4obboo10boobbo16boo\$75booboo9b3o8boo\$61b3o13boo11bobo6boobob3o6b3o\$61bobo27bo6bo3b3o8bobo\$60bo3bo26bo7b4o9bo3bo\$60bo3bo35bo11bo3bo\$60bo51bo\$60bo4boo25bo19bo4boo\$60bo6bo23bobo18bo6bo\$61bo5bo9b3o11bobo19bo5bo\$61boo29bo20boo\$63bo3bo47bo3bo\$64bobo13bo35bobo\$79bobo\$80bo\$61b3o49b3o\$60bo3bo47bo3bo\$61bobbo48bobbo\$63boo50boo3\$114boo\$104bo3boo4b3o\$104boboobbo6bo7boo\$104bobb5obb4o7boo\$108b3o3b3o\$66boo39b3o\$66boo39boo\$107bo3\$133boo\$133boo\$\$74boo\$74boo\$\$122boobbo\$121b3obboo\$92boobbo14boo9boobb3o\$95bobo11b4o9boobboo\$94bo18bo\$82boo21boobb3o\$82boo12boo7b3obobbo\$104bo6bo\$97boo7boo3bo\$96bo10bobbo\$94booboo8bo\$97boo9bo\$95bo\$90boo\$90boo14\$111bobo\$111boo\$112bo\$324bo\$323b3o\$323bobbo\$323b3o\$323b3o14boo\$322boboobo12boo\$323bobb3o\$323b4oboo\$324bob3o\$326b3o10bo\$327boo10bo\$340bo\$338bobo7boo\$323boo16bo6boo\$323boobo\$323b4o12bobo\$325bo14boo6\$335bo\$334bobo3bo\$328boo4bo5boo\$328boo5b4obo\$336b3o3\$95bobo\$95boo\$96bo\$336boo20bo\$336boo20bo\$308bo49bo\$308boo49boo\$307bobo49b3o\$359boo\$374boo\$374boo3\$358bo\$357bobo\$357bobbo\$375boo\$374bo7boo\$356bobbo14b3o5boo\$356boob3o10b3o\$358boobbo9b3o\$276bo82bobbo\$276boo81bobo\$275bobo3\$321bo\$321bobo\$321boo50b3o\$362boo3bobbob4o\$362boo4bo3bobbo\$368booboo\$79bobo\$79boo\$80bo3\$244bo125boo\$244boo45bo51boo25boo\$243bobo98boo\$287bo7bo47bo\$287bo8bobb3o\$286bo4boo3bobb3o\$287bobo6bobboobbo\$287boboo10bobo\$301b3o\$292bo18boo\$311boo4\$311bo\$310bobo\$212bo97bobbo\$212boo97bobo5boo\$211bobo105boo\$312bobo\$299boo\$291boo8b3o7b3o\$291boo5b3oboo6bobo\$311bo\$354bo\$353bo\$353b3o\$63bobo\$63boo\$64bo234boo\$299boo\$\$180bo\$180boo\$179bobo14\$148bo\$148boo\$147bobo6\$338bo\$337bo\$337b3o\$47bobo\$47boo\$48bo3\$116bo\$116boo\$115bobo14\$84bo\$84boo\$83bobo6\$322bo\$321bo\$321b3o\$31bobo\$31boo\$32bo3\$52bo\$52boo\$51bobo12\$bbo\$b3o\$ooboo15bo\$b3o16boo\$bbo16bobo\$bbobo\$bb4o\$5bo\$14boo\$booboo7bobbo\$o5bo7boo290bo\$bo3bo299bo\$bbo302b3o9\$6boo\$6boo7\$14boo\$14boo7\$22boo\$22boo\$7boo\$6bo\$6bobbo\$4boob4o279bo\$3bo20b3o262bo\$3bo3b3obbo276b3o\$3bobbobbob3o3bobo10boo\$5boo4b3o4bo11boo\$7boobobo\$8boobo14bo\$11bo12b4o\$23bo3bo\$23bobbo\$24b3o6bo4bo\$32boboobbo\$34b3o3bo\$31b3obboobboo26b3o\$35boobboboo24bo\$38bobbo25bo3bo348bo\$35boob3o24boo3boo347bobo\$36b4o24bobbobobbo\$13boo49bobbobobboo345bobbo3bob3o\$13boo11bobo37booboobbo347bo4bo\$26bobbo37bo4bo349boboobobo\$26bobbo40booboo348boo3bo\$27boo40b4o351bo15boo\$70boo13boo353boo\$52boo31boo\$51bobo\$21boo29bo\$21boo11bo35bo\$34bo36bo\$34bo35bo\$448boo\$93boo336bo16boo\$60boo31boo179bo156b3o\$59bobo13boo196bo149bo6bo3bo\$60bo7bo5bobbo195b3o147bo3b3o4bo\$68bo5bobbo345bo3b3oboboo\$68bo4booboo8b3o338boo3bo\$74boo13bo\$86bobbo\$87boo348bo\$68boo367b3o\$67bobo10bo358boo\$68bo9bobo347boo9boo\$77bobbo347boo7b4o\$78boo14b3o341boo\$78boobobo\$79b3oboo\$80bo3bo328b3o15bobo\$77boo3b3o330bo15boo\$81boboo329bo17bo\$79boobbo\$80b3o\$81bo9\$92bo\$91bobo\$91boo288b3o\$258bo124bo\$257bo124bo\$257b3o3\$100bo\$99bobo\$99boo6\$108bo\$107bobo\$107boo240b3o63bobo\$351bo63boo\$350bo65bo\$92boo\$91bo\$91bobbo\$89boob4o20bo\$88bo20b3o3bobo\$88bo3b3obbo17boo\$88bobbobbob3o3bobo\$90boo4b3o4bo\$92boobobo\$93boobo14bo\$96bo12b4o\$108bo3bo\$108bobbo\$109b3o6bo4bo193b3o\$117boboobbo118bo76bo\$119b3o3bo115bo76bo\$116b3obboobboo26b3o85b3o\$120boobboboo24bo\$123bobbo25bo3bo\$120boob3o24boo3boo\$121b4o24bobbobobbo\$98boo49bobbobobboo\$98boo11bobo37booboobbo\$111bobbo37bo4bo\$111bobbo40booboo\$112boo40b4o\$155boo13boo\$137boo31boo\$136bobo\$106boo29bo147b3o111bobo\$106boo11bo35bo131bo111boo\$119bo36bo129bo113bo\$119bo35bo\$\$178boo\$145boo31boo\$144bobo13boo\$145bo7bo5bobbo\$153bo5bobbo\$153bo4booboo8b3o\$159boo13bo\$171bobbo\$172boo\$153boo\$152bobo10bo\$153bo9bobo87b3o\$162bobbo60bo28bo\$163boo14b3o43bo28bo\$163boobobo56b3o\$164b3oboo\$165bo3bo\$162boo3b3o\$166boboo\$164boobbo\$165b3o\$166bo4\$200bo\$199b3o\$199bobbo18b3o159bobo\$199b3o21bo159boo\$199b3o20bo161bo\$177bo20boboobo\$176bobo20bobb3o\$176boo21b4oboo\$200bob3o\$202b3o\$203boo\$212boo\$211bobbo\$185bo13boo11boo\$184bobo12boobo\$184boo13b4o\$201bo5\$193bo\$192bobo\$192boo\$204boo\$204boo4\$201bo\$200bobo\$200boo\$212boo\$212boo\$367bobo\$367boo\$368bo\$209bo\$208bobo\$208boo24b3o\$220boo12bobo\$220boo12b3o\$250boo\$249bobboo\$236boo11booboo\$217bo16booboo14bo\$216bobo15boobboo10boo\$216boo15boo3boo11bo7boo\$228boo4boobboo19boo\$228boo5bobo4\$225bo25b3o\$224bobo21b3obo15bo\$224boo23booboo14bo\$236boo11booboo8bo5bo\$236boo13bo9bobo\$261boo\$262bo\$\$233bo\$232bobo23bo\$232boo22bo3boo\$257bo3bo\$259boo\$351bobo\$267b3o81boo\$267boo83bo\$241bo27bo\$240bobo\$240boo6\$258bo\$257bobo\$257boo6\$266bo\$265bobo\$265boo\$237bo\$237bobo\$237boo\$\$256bo\$256bo17bo\$258bo5bo8bobo\$257bo6bobo6boo\$256bo3bobbo\$257bobboboboo\$262boboo69bobo\$335boo\$336bo9\$265boo3bo\$263b3o4boo\$258b3obo8boo\$262bobobb5o\$263bo3b3o\$281boo\$279bobbo\$278bo4bo\$277bo5bo11boo\$277bo5bo10bobo\$264boo10boo4bo12bo\$221bo42boo8boo5bo\$221bobo49boo\$221boo51bo6boo\$275bo6boo\$282boo\$303boo\$277boo3boo18bobo\$272bo3b3o24bo\$272bo11bo\$272bo11b3o\$319bobo\$319boo\$320bo\$311boo\$310bobo\$311bo17\$205bo\$205bobo\$205boo30\$189bo\$189bobo\$189boo30\$173bo\$173bobo\$173boo30\$157bo\$157bobo\$157boo30\$141bo\$141bobo\$141boo!`

This pattern shows worms being used to position boats to the correct location for the glider-creating reaction to occur, the worm whose phase can be adjusted, and a final worm which positions the boats again so that they can be deleted.

Because of the existence of the phase adjuster, tracking the phase shifts performed by the various types of reflectors and shifters is not as important at it would otherwise be. Of course, in individual cases, phases might be able to be matched without needing the phase adjuster.

I intend to discuss glider duplicators and fanout devices in my final post of this series.

BCNU,
-dbell

### Re: Cordership made using individual switch engines

Posted: December 29th, 2017, 2:32 pm
very interesting! I get from the text that there is more applications to come. Correct?

### Re: Cordership made using individual switch engines

Posted: December 29th, 2017, 11:19 pm
This third and last discussion of the technology based on individual switch engines describes the reactions I found which can duplicate a stream of gliders, along with a few last minute results.

These patterns show a supporting period 96 rake for convenience. It is implicitly assumed that all these components are based on an uninterrupted period 96 glider stream.

Glider duplicator

One of the assisted reflector components I found produces an extra output glider stream in addition to two lines of unwanted debris. The debris can be cleaned up using the sparks from reflectors in the manner previously described.

There are several uses of this component in my Cordership.

`#C A component based on individual switch engines which duplicates a#C period 96 sideways glider stream as produced by a Cordership rake.#C David I. Bell, 21 December 2017x = 375, y = 66788bo\$88bo\$88bob3o\$90b3o\$91bo13b3o\$91boo\$92bo\$92boo13bo\$106boo\$89booboo11b3o6boo\$90b3o12bo8boo\$90bo12bo\$103bo3boo\$107boo\$104bo\$105bobbo\$78b3o6bo14bobb3o\$79boo3boobo13bobo18boo\$78boo5bobo13bobbo17boo\$83b3obo14boo\$86boo\$98boo\$98boo\$59boo50boo\$58bo51bo\$58bobbo29bo18bobbo\$56boob4o27bobo15boob4o\$55bo20b3o11bobo14bo\$55bo3b3obbo26bo15bo3b3obbo\$55bobbobbob3o3bobo35bobbobbob3o\$57boo4b3o4bo8bo29boo4b3o\$59boobobo13bobo30boobobo\$60boobo15bo32boobo\$63bo51bo5\$109bo\$107booboo\$107booboo\$107boo15boo\$109boobo11boo\$110bobbo\$65boo9bo33bobbo\$65boo9bo34boo4\$132boo\$109b3o20boo\$\$73boo34bobo\$73boo35bo\$111bo\$111boo\$108boboobo\$108b4oboo\$107boob4o\$100bo8boboo\$81boo13b5o7boo\$81boo13bo3bobo4b3o\$96b3o3b3o3b3o\$102boobb3o\$102bo\$99b3o\$99boo\$\$89boo\$89boo6\$119bo\$117boo\$118boo30\$103bo\$101boo\$102boo30\$87bo\$85boo\$86boo133b3o\$\$225bo\$221bo3boo12bo\$223bobo13boo\$220b3o16bobo\$222bo\$238boo\$221boo16boo\$222boo14bobbo\$222bo15b3o5boo\$222boo22boo\$221boo7\$236boo16boo\$235bobbo11bobboboo\$235b3obobo8bo5boo\$226boo8boboobbo7bobob3o\$226boo11bobbo11boo\$240bobbo10boo\$240bobbo\$240bo\$240bo\$239bo\$239bo3bo\$71bo162boo3b4o\$69boo163boo\$70boo3\$203boo\$204boo\$203bo13\$222bo\$171boo48bo\$172boo47b3o\$171bo9\$55bo\$53boo\$54boo3\$139boo\$140boo\$139bo13\$206bo\$107boo96bo\$108boo95b3o\$107bo9\$39bo\$37boo\$38boo3\$75boo\$76boo\$75bo13\$190bo\$43boo144bo\$44boo143b3o\$43bo5\$5bo\$\$bo7bo\$bo8bobb3o\$o4boo3bobb3o7bo\$bobo6bobboobbo3boo\$boboo10bobo4boo\$15b3o\$6bo11\$13boo\$5boo8b3o\$5boo5b3oboo3\$174bo197boo\$173bo199boo\$173b3o196bo\$\$13boo\$13boo12bo\$26b3o14boo\$25bo10bobbo4bo\$26booboo6b3obbobbo\$27b3oboo5boobbobbo\$29b4o9bobbo\$43b3o6boo\$21boo29boo\$21boo3\$340boo\$341boo\$340bo\$60boo\$29boo23boo4boo\$29boo23boo\$\$58boo\$37bobbo13bobooboo\$37b4o12b3obobo\$52bo\$37bobbo10b5obbo\$40bo9bo7bo\$37bobo10bobobb3o\$37boo12boo\$\$61b3o94bo149boo\$157bo151boo\$157b3o148bo\$\$55bo\$57bo3\$53bobo\$52bobbo\$52bo\$52booboo\$52boo\$53bobo\$54bo\$\$45bo230boo\$44bobo12bo217boo\$43booboo10bobo215bo\$44bobbo10boo\$46b3o\$46bobo\$47boo\$47boo4\$45bo\$46bo\$46boo\$45b3o\$\$90bo51bo101boo\$46b3o38b4o50bo103boo\$44bo4bo91b3o100bo\$44boo3bo54b3o\$46b4o\$90bobo12boo\$91bo13boo\$89boo13bobbo\$89bobbo11bo8boo\$66boo20booboo10b3o7boo\$65bobbo34boo\$49boo13booboo10b4o23boo\$49boo12bobo12bobb3o21bobbo\$58boobboobo18bo\$58boo3bobobo6bo3boobobo19boo\$62bo4bo13bo21bobbo15bo\$62boo3bo7bo28b3o15bo89boo\$61bo3boo21boo24b3o5bo90boo\$61b3o23bobo24bobo95bo\$57boo3bo25bo24boobo\$57boo11bo42boo5boo\$70bo40b3o8bo\$70bo39b3o7boo3\$108boo5boo\$108b6oboobo\$109b4o3bobobbo\$111bo10boo\$123boo3\$126bo53boo\$125bo55boo\$125b3o52bo4\$112bo\$111bobo\$111boo8\$148boo\$149boo\$102bobo11bo31bo\$101booboo8b5o\$102boboo8boob3o\$106bo\$105bo\$105bo6\$128boo\$127bobbo\$122boo3bobbo\$116b3obbobboob4o12boo\$114boo3bo7bo14bobbo\$113bobo6bo3bo16boo\$107boo4bo5bo4boo\$107boo4boo4bobb3o\$118bo\$117bo20boo\$138boo\$151boo\$150bobbo\$151boo4\$146boo\$146boo\$159boo\$158bobbo\$159boo3\$135bo6boo\$134bobo3bo3bo9boo\$133bo3bobo3boo9boo\$134bobobboboboo22boo\$135bo3bobboo22bobbo\$139bo4bo22boo\$140bobbo10boo\$142bo11boo\$\$115bo46boo\$114bo47boo\$114b3o58boo\$174bobbo\$175boo\$162boo\$149bo12boo\$138b3o7bobbo\$137boboboo5bo3bo\$137boboboo5bo3bo\$137bo3bo5boo3bo30boo\$138bobo7bobbo30bobbo\$139bo43boo5\$81boo59boo\$84boo4bo51boo47boo\$81boob4o3bo38bo59bobbo\$78b5o4b4o39boo59boo\$81b3o6bo38bobo\$82bo\$81b3o\$88bo12boo40bo\$88bo12boo40bobo\$143boo54boo\$181bo16bobbo\$181bo17boo\$183bo5bo\$182bo6bobo\$181bo3bobbo\$109boo71bobboboboo\$99boo8boo76boboo\$98bobo100boo4boo\$98bobo100boo3bobbo\$83boboobo10bo107boo\$82bo4b3o10boo5boo\$83bo5bo11boo5boo\$84bo3bo11boob4obbo\$85bobo14bob5o\$104booboo\$209boo\$209boo\$89boo99boo3bo\$89boo97b3o4boo\$100bo82b3obo8boo\$100bo86bobobb5o\$188bo3b3o\$99booboo\$\$99boo\$98bo3boo96bo\$98bo3bo\$99bobo87boo\$100bo88boo\$127bo\$127bobo\$127boo46boo\$176boo14bo\$175bo15bo\$191b3o12\$96bo\$97boboobobo38boo\$91b3o3b4o3bo39boo\$97bobbooboo38bo\$96bo\$94b3o\$94b3o17boo\$114boo7\$122boo\$112b3o7boo\$111bobbo\$111bo\$96bobooboo9bobbo5bo54bo\$95b5obboo9b10o52bo\$95bobb3obo10bob6oboo51b3o\$101bo12b5obb3o\$114b3o4boo\$115boo3\$102boo\$102boo\$\$113bo\$113bo\$114bo\$\$113boo\$111bobbobo\$111bo4bo\$111bo\$112b3o13\$160bo\$159bo\$159b3o30\$144bo\$143bo\$143b3o30\$128bo\$127bo\$127b3o30\$112bo\$111bo\$111b3o!`

I had been investigating switch engine components for many years, but it was only when this glider duplicating component was found that I knew a complete Cordership could be built using individual switch engines.

A smaller glider duplicator using the same reaction is possible.

`#C A component based on individual switch engines which duplicates a#C period 96 sideways glider stream such as that produced by a#C Cordership rake.  This is an improvement on the original version#C of this reaction.#C David I. Bell, 29 December 2017x = 158, y = 43659bo\$58b3o\$57b3obo\$56bo3bo\$55boobbobbo\$54b3obb4o\$56bo3bobbo\$56bo6bo\$58bobbo\$60booboo\$60bo14boo\$75boo3\$59boo\$58bobo\$59bo\$57bobobbo\$57b3ob3o19boo\$57boobo3boo17boo\$62bo\$41bo23bo\$40boboo15boo\$44bo14boobbo\$38bo3bobbo\$36bo9bo21b3o\$30bo5bo4boobboo4bobboo11boobboobo7bo8boo\$28booboo12boo4b5o12bo4bobo4booboo6boo\$28booboo5bo5bo7b3o13bob4oboo3booboo\$28boo9bo4b3o22bo4bo5boo\$30boobo6bo4boo18boo15boobo\$31bobbo7b4o19boo16bobbo\$31bobbo48bobbo\$32boo25b3o22boo\$58b5o\$46bo10bobbobbo\$46bo11b5o\$46bo12b3o\$30b3o27bo21b3o\$48bo\$30bobo14bobo32bobo\$31bo16bo34bo\$32bo51bo\$32boo50boo\$29boboobo46bobooboo\$29b4oboo45boobbo\$30b5o46boo3boo\$32boo52bo\$\$69bobo6bo\$68bo9boboo11boo\$69bobbo6b3o3boo6boo\$71b3o9bobboo\$34boo48boboo\$34boo49bo4\$101boo\$101boo\$\$42boo50b3o\$42boo48bo4bo\$63bo30boboo\$63bo27b3o\$63bo26bo\$60bob3obo\$60bob5o\$64bobo\$50boo9boo9bo\$50boo9boo\$62bo\$62boo8bo3bo\$63bo3boo\$63bo10boo\$61boboo\$62bo\$58boo\$58boo16\$77bo\$76bo\$76b3o30\$61bo\$60bo\$60b3o24\$68bo\$68bo\$68bo8bo\$75bobo\$69b3obbo3bo\$70bob5o\$45bo30bo\$44bo26boo15boo\$44b3o41boo7\$96boo\$79bo16boo\$78b4o\$76b5obo\$70b3obbo6boo\$74bo3bob3o\$75bobobboo\$\$90bo13boo\$90bo13boo\$85b3o3bo\$84bobb4o\$76boo4b3o3b3o\$76boo4b3o\$84boo\$84bobbo\$84boboo\$85b3o\$\$86bo4\$29bo\$28bo25b3o\$28b3o25bo\$55bo13\$b3o62bo\$bobo18b3o41bobo\$bobo20bo41boo\$bo4boo15bo\$3o3boo\$6bo\$bb4o\$3boo\$3bo\$14boo\$4bo8bobbo\$bbobo9boo\$b4o151bo\$b3o152boo\$3bo151bobo8\$6boo\$6boo5\$124bo\$124boo\$14boo107bobo\$14boo\$50bo\$50bobo\$50boo4\$22boo\$22boo5\$92bo\$92boo\$30boo59bobo\$30boo7\$38boo\$26bo11boo\$26bo5b3o\$25bobo3boobbo\$26bo3bo5bo\$26bo3bo\$31bobboo24bo\$32boo26boo\$59bobo\$\$34bo\$34bobo\$34boo4\$39bo21boo\$29boo9boo18bobbo\$28bob3o8boo18boo\$28bo3bo10bo\$29boobo5b5o\$30bo10bo\$56boo\$56boo\$69boo\$68bobbo\$69boo4\$64boo\$64boo\$77boo\$76bobbo\$77boo3\$56bo\$56bo15boo\$56bo15boo\$39bo17boo26boo\$39bobo15b3o24bobbo\$39boo16boo26boo\$72boo\$72boo\$\$80boo\$56bo23boo\$55bobo35boo\$55bobbo33bobbo\$73boo18boo\$72bo7boo\$54bobbo14b3o5boo\$54boob3o10b3o\$56boobbo9b3o\$57bobbo\$57bobo41boo\$100bobbo\$101boo4\$71b3o\$3bo56boo3bobbob4o\$bbobo55boo4bo3bobbo35boo\$booboo60booboo37bobbo\$bbobbo103boo\$4b3o\$4bobo\$5boo\$5boo12boo\$19boo47boo\$23bo17boo25boo47boo\$23bobo16boo72bobbo\$3bo19boo16bo75boo\$4bo92bo3boobboobo\$4boo91bo3boo4boboo\$3b3o91bo3boobbooboo\$27boo72boo\$27boo70bobbo\$4b3o92bobo17boo4boo\$bbo4bo92bo18boo3bobbo\$bboo3bo14boo101boo\$4b4o14boo\$23boo\$18bob4o\$17bobboo\$\$127boo\$14bo3bo97boo9boo\$7boo5bobbo98b3o\$7boo4bo3bo97bob3o\$13booboo82boobb5o7bob3o\$13boobbo82bo7bo7b4o\$14b3o83bo4boboo8boo\$15bo36bo51b3o\$51bo\$51b3o\$15boo\$15boo\$97bo9boo\$97boo8boo\$96bobo7\$106bo\$106bobo\$106boo3\$18bo7bo\$17b3o5bobo\$16boob4obbobbo36bo\$17b3obbo42boo\$18bobboobbo38bobo\$22boobobo\$26bo10boo\$37boo6\$36bo\$35bo9boo\$22bo14bo7boo\$21b4o6boobo\$20bo4bo4b3obboo\$19boo10boob3o4bo\$20boboboo4b3oboo3b4o\$21b3o6boo7boobbo\$22bo15bo4bo\$37booboboo\$36b4o\$36b4o\$39boo\$25boo13boo\$25boo12bo50bo\$90bobo\$35b3o52boo\$\$33bo4bo\$33bo\$37boo\$34booboo\$36bo24\$74bo\$74bobo\$74boo!`

Fanout device

The phase adjusting component I showed in the previous message can be easily modified to become a fanout device to produce an arbitrary number of glider streams. (This possibility was suggested by Dave Greene after seeing the original component.)

`#C A glider stream fanout device which can produce an arbitrary number#C of sideways output streams from one period 96 input stream such as that#C produced by a Cordership rake.  Shown here are five such output streams.#C The phase of each repeating unit differs by four generations.#C Adjacent pairs of glider streams are separated by 4.5 + 8N lanes.#C The phases of the outut gliders can all be individually adjusted.#C David I. Bell, 27 December 2017x = 640, y = 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Last minute news

Today I found a few new reactions for a switch engine using forward gliders. It is no longer true that two forward glider streams are needed to support a switch engine.

Here is a switch engine supported in several ways. So now we have 'eater' components for gliders streams travelling in any direction.

`#C Three different ways that a single switch engine can be supported#C by a single stream of forward gliders.#C David I. Bell, 30 December 2017x = 776, y = 2114bo\$3b3o\$bb3obo14bo\$boo3boo6bobbo3bo\$oobobboo6bo3bobbo\$booboboo5bo\$bb3oboo6boboo\$4bo4bo\$5b4o20boo\$7bo12boboo5boo\$20b3o\$21bo\$\$28b3o\$33b3o\$27bobbo3boo\$28b5obobboo\$28boobo3boobo270bo\$29boo4b3o254b3o8bo5bo\$29boboboboo254bo3bo6bo7bo\$9boo13boo266boo9b4obboo\$9boo12bo270booboo9b3o\$23b3o141bo128boo11bobo\$23boobb3o137bo142bo7boo\$23bo3bo139bo142bo7boo\$28bo139boo\$168b3o\$168boo\$17boo164boo\$17boo164boo134boo259b3o6bo\$318bobboo256bo4bo3bobo\$317boo3bo3boo251bo4boo3bo\$167bo149boobobo3boo251bo6bo\$166bobo146b3obboo258b3obobbobo\$166bobbo144b3o267b5o\$184boo112boo13boo274bo10boo\$183bo7boo105boo9boobboo285boo\$165bobbo14b3o5boo\$165boob3o10b3o125boobbo\$43b3o121boobbo9b3o127b3o\$43bo124bobbo281bo\$44bo123bobo142b3o137bo\$313bo139bo\$306boo6bo139boo152boo\$176bobobboo123boo146b3o127boo22boo\$176bobb3o272boo128b4o5boboo\$159b3o19boo286boo111boob3o5bo3bobo\$160bo16bobboo287boo111boo3boo10bo4boo\$160bobbo14b3o3boo396boobobo9bobobbobbo3boo139bo\$160bobbo19bobo401bo5bobo5bo4bobbobo136booboo\$161bobo21bo267bo130b3o13boobooboobo138booboo\$452bobo144bo5boo141boo\$452bobbo147bo146boobo\$470boo127bo151bobbo\$469bo7boo121bo3bo146bobbo\$59b3o98bo290bobbo14b3o5boo109boo14bo147boo12boo\$59bo99bobo289boob3o10b3o118boo13bo162boo\$60bo99bo168b3o121boobbo9b3o129bo\$329bo124bobbo141bo\$330bo123bobo142boo\$158b4o588b3o\$158boo3bo436boo\$159bo4bo297bobobboo128bob3o148bobo\$161boboo297bobb3o130bobbo149bo22boo\$162bo282b3o19boo129b3o24boo125bo21boo\$446bo16bobboo157bobo124boo\$153bo292bobbo14b3o3boo153bo123boboobo\$149b4oboo5b3o282bobbo19bobo277b4oboo\$148boob3oboo4b3o7boo274bobo21bo278b5o\$149bob3obo7boo6boo579boo\$150bo3b4o4boo\$75b3o75boob3o583b3o\$75bo78b5o582bo3bo\$76bo78bo189b3o98bo293bo3boo\$345bo99bobo293bo\$346bo99bo295b4o14bobo6bo\$179boo563boboo21bo\$179boo563bobbo12bobo\$444b4o297boo\$444boo3bo\$445bo4bo190boo\$168b3ob3o272boboo190bobo\$167b4obobbo272bo192bo102bo\$141bo24bobo575bo\$140bobo32bo263bo303bobo\$139bo3bo14bo9b3o264b4oboo5b3o294bo\$140bobo9boo3boboo8boobboo259boob3oboo4b3o7boo285boo\$91b3o47bo10boo281bob3obo7boo6boo285b3o\$91bo64bo3bo275bo3b4o4boo297bo\$92bo48b4o10bo205b3o75boob3o297bobobbo\$140bo4bo6b4obbo202bo78b5o296bo3boo\$117b3o22bo10bobobo204bo78bo300boobb3o\$117bobo19bo3bobbo6bo593boo\$117b3o19bob3obo8bo\$133boo5b3obo320boo273bo\$132bobboo328boo262b3o7bobbo11boo\$119boo11booboo520boo73b3o5boboobb3o5boo\$117booboo14bo520bobo72b3o6bo3bo\$117boobboo10boo522bo75bo11bobbo\$116boo3boo11bo319b3ob3o285boo\$117boobboo330b4obobbo\$118bobo306bo24bobo\$426bobo32bo\$107b3o315bo3bo14bo9b3o305boo\$107bo318bobo9boo3boboo8boobboo301boo\$108bo25b3o240b3o47bo10boo316bo\$131b3obo241bo64bo3bo309boo\$132booboo241bo48b4o10bo312boobbo\$132booboo289bo4bo6b4obbo307bo4boo\$134bo268b3o22bo10bobobo279b3o26b3o\$403bobo19bo3bobbo6bo312boo\$122boo33bo245b3o19bob3obo8bo286bo\$122boo31boo262boo5b3obo242boo48bo3boo\$156boo260bobboo250bobo49bobo\$405boo11booboo250bo48b3o\$403booboo14bo278bo22bo\$403boobboo10boo280bo\$107bobo292boo3boo11bo280bo21boo\$93bobo7bobbobbo293boobboo289bob3obo19boo10bo\$92booboo5boboboobo13b3o4boo272bobo291bob5o13bo5bo\$93boboo6bo19bo6boo570bobo12bobo4boo\$97bo11b3o12bo268b3o303boo19bobboo\$96bo13boo281bo305boo16bo3bo\$96bo12boo7boo274bo25b3o277bo16bo\$118boo297b3obo278boo16bobbo\$418booboo278bo3boo10boobo\$418booboo278bo16boo\$420bo278boboo\$689boo9bo\$408boo33bo245bobo\$88bo319boo31boo246bo\$87bobo5bo30boo314boo\$93booboo28boo\$87b3obbo3boo\$93booboo618bo\$93b4o3b3o36b3o251bobo320boo\$105bo33bo239bobo7bobbobbo319bo\$104bobo28bo4bo237booboo5boboboobo13b3o4boo298b3o\$105bo28bobo242boboo6bo19bo6boo287boo10bo\$134bobo246bo11b3o12bo294boo\$71bo63bo246bo13boo339bobo\$70bobo309bo12boo7boo331boo\$69booboo17boo37boo272boo332bo\$69boo19b3o36bobbo543bo\$75boo12boobobo35boo543b3o15bo11boo\$69b3obbo19boo578booboo14bo11bobo\$73boboo17bo578boo3bo7b4o3bo11bo7boo\$71bobbo39boo558bobobobo5bo3bo22boo\$74bo15boboo19bobo258bo300boobobbo4boo3bo\$63bo8boo15boobo22bo257bobo5bo30boo264boobo7b3o\$49boo7boobbobo25b3o286booboo28boo265boo10boobo6boo\$49b3o6b4o3bo6bo300b3obbo3boo308b3o6boo\$49boobobo7bo7booboo304booboo309bo\$52boo10boboo5bo305b4o3b3o36b3o\$31bo32bobo3bo320bo33bo\$65bo6bo317bobo28bo4bo\$27bo7bo355bo28bobo248bo\$27bo8bobb3o378bobo247boo7bo\$26bo4boo3bobb3o44bo270bo63bo247bobob3obbobo28boo\$27bobo6bobboobbo41b3o268bobo309b3o3boo3bo29boo\$27boboo10bobo44bo266booboo17boo37boo251boboboobobo42boo\$41b3o41booboo265boo19b3o36bobbo251booboo46bobo\$32bo38boo11booboo272boo12boobobo35boo253bob5obo3b3o35bo\$71boo11booboo266b3obbo19boo293b4o9bo\$85bobbo270boboo17bo306bobo28bo\$86b3o268bobbo39boo252bo33bo28bobo\$86boo272bo15boboo19bobo250booboo60bobo\$349bo8boo15boobo22bo316bo\$47b3o285boo7boobbobo25b3o276boo\$46boobboo283b3o6b4o3bo6bo297bo16b4o36boo\$46boobboo27boo254boobobo7bo7booboo289bo3bo17bo4bo34bobbo\$47boboo28boo257boo10boboo5bo294bo3bo13bo4bo35boo\$47boo268bo32bobo3bo320bo\$39boo6boo302bo6bo315boo22b3o\$31boo8b3o8bobo258bo7bo330bo47bo\$31boo5b3oboo8boo259bo8bobb3o325b3o43bo\$53bo258bo4boo3bobb3o44bo275bo\$313bobo6bobboobbo41b3o257b3o8bo5bo24boo\$313boboo10bobo44bo255bo3bo6bo7bo3b3o16bo\$327b3o41booboo255boo9b4obboob5o\$318bo38boo11booboo258booboo9b8oboo\$357boo11booboo260boo11bo3bo4bo\$39boo330bobbo274boo4b3o\$39boo331b3o249bo24bo\$372boo234booboo6boboobboo\$608boo8bob5o44bobo\$333b3o272boobobo5bo4boo45bo\$332boobboo273bobo11bobo39bobo\$332boobboo27boo245boo53bo\$333boboo28boo258b3o26boo10bobo\$333boo319boo10boo\$325boo6boo330bo\$317boo8b3o8bobo325boo\$317boo5b3oboo8boo327bo\$339bo\$634bo\$632b4o\$631boobbo26boo\$630bob4o26boo\$625bo4b5o\$325boo298bo7boo\$325boo287boo16b3o\$614boo17b3o\$633boo\$634boo5\$622boo\$622boo!`

Most exciting of all, there is a way to generate sideways gliders from a single forward glider stream.

`#C A single switch engine can convert a period 96 forward glider stream#C into a sideways glider stream, along with some unwanted blocks.#C The blocks can be cleaned up using sparks from reflection components.#C David I. Bell, 30 December 2017x = 209, y = 19114bo\$14bo\$16bo5bo\$15bo6bobo\$14bo3bobbo\$15bobboboboo\$20boboo\$34boo\$34boo9\$23boo3bo\$21b3o4boo\$16b3obo8boo\$20bobobb5o11bo\$21bo3b3o13bo\$33bo\$32bo\$32b3o3\$22boo155bo\$22boo\$175bo7bo\$37boo136bo8bobb3o\$37boo135bo4boo3bobb3o\$175bobo6bobboobbo\$175boboo10bobo\$49bo139b3o\$30boo16boo130bo18boo\$30boo16bobo148boo\$\$45boo\$45boo3\$200bo\$38boo158boobo5boo\$38boo156booboboo4boo\$198bo\$53boo132boo4boobo\$53boo124boo8boobo\$179boo5b3obob4o\$191bo\$65bo\$46boo16boo118b3o\$46boo16bobo118boo\$167boo7boo3bob3o\$17bo149b3o6b3obbob3o\$16bo150boobobo\$16b3o151boo3\$54boo\$54boo6\$81bo\$80boo97boo\$80bobo81bo14boo\$163bobo\$162booboo\$162boo\$168boo\$162b3obbo\$166boboo\$164bobbo19boo\$167bo19boo\$165boo\$\$165bo\$163booboo\$166bo\$97bo65bo\$96boo67bo\$96bobo\$154bo\$bo151bobo5bo\$o158booboo\$3o150b3obbo3boo\$159booboo\$159b4o3\$130b3o6bo\$131boo3boobo\$130boo5bobo\$135b3obo\$138boo37bo\$113bo36boo24bo\$112boo36boo24b3o\$112bobo3\$149boob3o\$147bo7boo\$147bo5booboo\$148boo4b3o\$153bobo\$140bo3boo7bo\$134boboo3boboobo\$132boobo3bobo4boo\$135bobobb3obboo7boo\$136bo4boo10bobbo\$154boo\$129bo24boo\$128boo20boobo\$110bo17bobo19bobbo\$109bobo39b3o\$138boo\$109bobbo25boo\$111boo36boo\$112bo36b3o\$126boo22bo\$126boo19booboo\$147booboo\$149bo\$109boo\$111bo\$110boo\$109b3o15bo33bo\$109boo16boo5boo9bo14bo\$108b3obo14boo5boo8boo14b3o\$109bo3bo11bobo16bobo\$111bobbo11boo\$111b3o14bo\$96boobbo11boo12bobo\$99bobo23bobbo\$98bo27bo\$114boo8bobo15boo\$100boo12boo8boo16boo\$124boo\$101boo\$100bo\$98booboo24boo12boo\$91boo8boo24boo13boo7bo\$81bo3boo4b3o5bo41bo8bobo\$81boboobbo6bo55bobo\$81bobb5obb4o56bo\$85b3o3b3o\$84b3o59boo\$65b3o16boo59bobbo\$65bobo16bo61boo\$64bo3bo\$64bo3bo\$64bo\$64bo4boo\$64bo6bo\$43bo21bo5bo\$42b3o20boo\$42bobbo21bo3bo37boo\$42b3o23bobo39boo\$42b3o14boo18boo28bo\$41boboobo12boo4boo12boo\$42bobb3o16bo\$42b4oboo14bobbo\$43bob3o14bobbobo\$45b3o10bo4bobo\$46boo10bo4boo\$59bo\$57bobo27boo\$42boo16bo26boo\$42boobo\$42b4o12bobo\$44bo14boo\$\$58bo\$57bo\$56b3obo\$56boobboo\$56boobboo\$\$47boo7boo\$47boo7bo4bo\$56bo4bo\$57bobo5\$55boo\$55boo!`

Conclusion

This completes my series of messages about using individual switch engines in Cordership technology. There are a few more results which I have not described, but they are minor compared to the ones I have shown.

A simpler and much smaller complete Cordership should be buildable using the new honey farm component, fanout device, and forward glider turning component.

Does anyone want to have the fun of building one?

Another simple project would be to build a forward LWSS rake.

BCNU,
-dbell

### Re: Cordership made using individual switch engines

Posted: December 30th, 2017, 2:01 am
This is all really amazing and reminds me of AbhpzTa's tDryLife monolith.

I don't really have anything else to add besides a congratulations, sorry.

### Re: Cordership made using individual switch engines

Posted: December 30th, 2017, 11:35 am
A very promising start:
`x = 311, y = 274, rule = B3/S2372bo\$68b2obobo7bo\$68bo2b2ob2o2b2ob2o\$68bo5bobo5bo\$69b2o2bo8bo\$73bo2b3o2bo\$73b3o15b2o\$91b2o8\$88bo3b2o\$76bo2bo6b2ob2ob2o\$79b3o3bo7bo\$71b2o3b2ob4o3bo6b2o\$71b2o9b2o4b2o2b2o\$88b2o2b2o2\$78bo4\$79b2o\$79b2o3bobo\$84b2o14b2o\$85bo8b2o4bobo\$94b2o4bo4\$87b2o\$87b2o2\$102b2o\$102b2o4\$95b2o\$95b2o\$116b2o\$110b2o4bobo\$110b2o4bo4\$103b2o\$103b2o2\$118b2o\$118b2o4\$111b2o\$68bobo40b2o\$68b2o62b2o\$69bo56b2o4bobo\$126b2o4bo4\$119b2o\$119b2o2\$134b2o\$134b2o4\$127b2o\$127b2o\$148b2o\$142b2o4bobo\$142b2o4bo3\$111bo\$110bobo5bo16b2o\$116b2ob2o14b2o\$110b3o2bo3b2o\$116b2ob2o29b2o\$116b4o30b2o\$130b2o\$130b2o2\$143b2o\$52bobo88b2o\$52b2o110b2o\$53bo104b2o4bobo\$118bo39b2o4bo\$117bobo18b2o\$117bobo18b2o\$118bo\$151b2o\$114bo36b2o\$112b2o\$113b2o16bo34b2o\$130b3o33b2o\$129b2ob2o12b2o\$128b2obobo12b2o\$127b3o2b3o\$128bo6bo23b2o\$129b5obo23b2o\$130b4ob2o43b2o\$135bo38b2o4bobo\$134bo12b2o25b2o4bo\$147b2o5b2o\$154b2o\$89b2o\$90b2o40bo34b2o\$89bo40b2obo33b2o2\$133bo48b2o\$130bo2bo21b2o25b2o\$131bo23b2o5b2o\$162b2o\$136b2o\$129b3o5b2o28b3o5b2o\$36bobo97b2o29b3o5b2o\$36b2o98bo59b2o\$37bo152b2o4bobo\$163b2o7b3o15b2o4bo\$163b2o7bobo\$144bo18b2o7bo\$57b2o84bobo29b2o\$58b2o75b2o6b2o28bo\$57bo40bo36b2o4bo2bo22b3o4b2obo\$3bo92b2o43bo2bo22bo3bo4bo\$2b3o92b2o41bo2bo23b2o3bo25b2o\$bobobo133b2ob2o26bobo25b2o\$3ob3o12bo120bobo27bo2bo\$18bobo98bo21bo30bo\$2bob3o13b2o97b2o\$2b5o9bo3bo97bobo22b2o\$2b2o2b2o11bo2b2o40bo78b2o\$4bob2o14bo41bo147b2o\$6b2o9bo2b2o42bo141b2o4bobo\$2bobo2bo11bo7b2o32bob3obo138b2o4bo\$bobo2bo20b2o32bob5o13bo\$2bo62bobo12bobo\$62b2o19bo\$62b2o16bo3bo\$28b3o32bo16bo\$17b2o4bo3bo3bo31b2o16bo2bo115bo\$17b2o3b3obo37bo3b2o10b2obo99b3o8bo5bo13b2o\$17b3obo2bo2bo2b2o32bo16b2o5b2o92bo3bo6bo7bo12b2o\$20bob3o3b2o32bob2o22b2o93b2o9b4o2b2o\$18b3obo40bo121b2ob2o9b3o\$187b2o11bobo\$7b2o80b3o109bo7b2o\$7b2o17b2o56bo3bo112bo7b2o\$25bob2o49bo4bobo142b2o\$24b2obo49bo2b2obob2o5bo129b2o4bobo\$22bo54b3ob3obo136b2o4bo\$22bo60b2o3bo2bo\$22bo56b4obo5bo\$24bo2bo52b2o115bo\$15b2o7b3o41b2o18bo107bobo18b2o\$15b2o51b2o16b4o106bobo18b2o\$85bo4bo106bo\$84bob4o34bo105b2o\$84bo39bobo103b2o\$84b2o38b2o2\$84bo2bo\$23b2o51b2o6bo2bo137b2o\$23b2o51b2o7b3o117b2obo16b2o\$204b3obo6bobo26b2o\$175b3o7bo17bo4bobo4bo22b2o4bobo\$177bo6bo19b2o6bobo3bo19b2o4bo\$176bo7b3o18bo3bo2bo2b2o\$208bob2o3bo\$207bobo16b2o\$84b2o121bobo16b2o5b2o\$84b2o147b2o2\$246b2o\$246b2o3\$234b2o\$225b2o7b2o5b2o\$212bo9bob4o13b2o\$207bo3b5o5b2obo3b2o17bo12b2o\$143b3o60bobo7b2o4bo2b2ob2o16bobo11bobo\$145bo60bo7bob2o5b6o17bobo11bo\$144bo62bo8b2o6bo22bo\$82bo125bo3b4o\$81b3o129b3o26b2o\$80b2ob2o156bo2bo\$79b2obobo157b2o\$78b3o2b3o119b2o\$79bo6bo21bo95bobo7b2o\$80b5obo21bobo95bo7b2o\$81b4ob2o20b2o33bo\$86bo55b3o\$85bo12b2o41b3obo\$98b2o40bo3bo\$139b2o2bo2bo\$138b3o2b4o129b2o\$83bo27b3o26bo3bo2bo21bo106bobo\$81b2obo28bo26bo6bo20bo107bo\$112bo29bo2bo22b3o42bo\$84bo59b2ob2o62b2o\$81bo2bo59bo14b2o51b2o\$82bo76b2o2\$87b2o84b2o\$80b3o5b2o53b2o27bobo\$87b2o56bo28bo\$87bo55b2o4\$149bo\$149b2o141b2o\$86b2o53b3o4bob2o140bobo\$86b2o60bobo141bo\$148b2o6\$94b2o51b2o\$94b2o51b2o6\$308b2o\$155b2o151bobo\$155b2o151bo\$197bo\$195b2o\$196b2o30\$181bo\$179b2o\$180b2o!`

### Re: Cordership made using individual switch engines

Posted: December 30th, 2017, 12:35 pm

Corollary-sniped:

`x = 1636, y = 1688, rule = 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### Re: Cordership made using individual switch engines

Posted: December 30th, 2017, 2:25 pm
calcyman wrote:

Corollary-sniped:

`x = 1636, y = 1688, rule = B3/S23...`

Corollary 2? Re-snipe? These things can be tightened up quite a bit without any switch engines interacting:

`x = 1189, y = 1264, rule = 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### Re: Cordership made using individual switch engines

Posted: December 30th, 2017, 5:03 pm
dvgrn wrote:
calcyman wrote:

Corollary-sniped:

`x = 1636, y = 1688, rule = B3/S23...`

Corollary 2? Re-snipe? These things can be tightened up quite a bit without any switch engines interacting:

`x = 1189, y = 1264, rule = B3/S23...`

More minor jiggling:
`x = 1173, y = 1156, rule = 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### Re: Cordership made using individual switch engines

Posted: December 30th, 2017, 6:29 pm

`x = 1173, y = 1156, rule = B3/S23...`

Well, let's see -- I can cut the bounding box a little more by making the reflector component in the northeast longer instead of shorter:

`x = 1141, y = 1156, rule = 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Scary thought: all these well-separated singleton switch engines mean that it would be fairly easy to build a freeze-dried single-glider seed constellation for this type of spaceship -- easier than for a waterbear, anyway, though that's not saying much.

### Re: Cordership made using individual switch engines

Posted: December 30th, 2017, 6:53 pm
dvgrn wrote:

`x = 1173, y = 1156, rule = B3/S23...`

Well, let's see -- I can cut the bounding box a little more by making the reflector component in the northeast longer instead of shorter:

`x = 1141, y = 1156, rule = B3/S23...`

More of the same (EDIT: Snugly inside 1100-by-1100):
`x = 1087, y = 1092, rule = 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Are we sure there isn't a better way to do this?

### Re: Cordership made using individual switch engines

Posted: December 30th, 2017, 8:42 pm
BlinkerSpawn wrote:More of the same (EDIT: Snugly inside 1100-by-1100):
`x = 1087, y = 1092, rule = B3/S23...`

Hey, I was going to do that next. Luckily you left me (at least) one more quantum of improvement:

`x = 1071, y = 1076, rule = 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BlinkerSpawn wrote:Are we sure there isn't a better way to do this?

Oh, there are definitely better ways to do this -- just feed this whole crazy thing with a 5-engine Corderrake and you can throw away as much of it as you want to. Or just build a 3-engine Cordership instead.

The interesting thing about dbell's new technology is that it's never been possible to build a c/12 spaceship before that didn't involve switch engines interacting with each other directly. It doesn't seem as if the minor constructibility advantage to having separate switch engines will anywhere near make up for the larger size -- but it certainly seems worth experimenting with to see what other new stuff might turn up.

EDIT: Come to think of it, though, the front end seems to make a fairly big deal out of cleaning up two blocks and then adjusting the glider output lane with a chain of seven switch engines. Maybe there's a more efficient way to start out -- e.g., just leave the blocks for a while, and clean them up with sparks from later SE reflectors, or with gliders from a fanout. Don't really know what's possible yet, I've just been mindlessly optimizing so far.

### Re: Cordership made using individual switch engines

Posted: December 30th, 2017, 9:39 pm
Not sure if this is exactly the right place to post this, but this thread inspired me to search for two-switch-engine puffers to attempt to find more simple non-traditional Cordership technology. Here's an early result that I found amusing:
`x = 16, y = 14, rule = B3/S2310b3o\$11bo2bo\$15bo\$12bobo6\$2o\$obo\$obob2o\$4b2o\$b2ob2o!`

EDIT: Another, if less amusing, result:
`x = 17, y = 14, rule = B3/S2311b3o\$12bo2bo\$16bo\$13bobo6\$b2o\$2ob2o\$5b2o\$3bo3bo\$4b3o!`

EDIT 2: Boats and blocks:
`x = 51, y = 44, rule = B3/S2310b2o\$9bobo20b2o\$10bo21b2o7\$40b2o\$40b2o4\$6b3o\$6b3o35bo\$5b2ob2o22bo2bo7bobo\$6b3o7bobo12bo3b2o5bo3bo\$6b3o7bo2bo11bo3bo5b2obobo\$7bo7bo3b2o6bo3bo3bo5b2obobo\$15bo10bobo3bo2bo7b3o\$b2o24bo6bo\$bo13bo2b3o\$o2bo7bo3b2o\$2o15b3o\$o16b3o2\$7bo\$7bo8bo\$15bobo23bo\$18bo11b5o5bo2bo\$8b2o3bo4bo11b2obo5bo4bo\$8b2o2bo5b2o11b3o6b2o2bo3bo\$18bo12b2o6b2obobo2bobo\$13b2o2b3o11bo7b2o3bobo3bo\$18b2o10bobo6bo3bo3bobo\$30b2o8b2o6bo\$29bob3o\$30bo3bo\$15bo2bo10bo3bo\$16b2o15b3o\$31b2o\$31b2ob2o\$33bo!`

Again:
`x = 53, y = 49, rule = B3/S2312b2o\$12b2o\$4b2o\$3bobo\$4bo4\$20b2o\$20b2o7\$28b2o\$9bo18b2o\$8b3o\$8bob2o\$11bo\$3o2b2o3b2o\$5b2o2b3o19bo\$6b2o21b3o\$5bob3o6b2o16b2o\$4bo4bo6b2o11bobob2obo\$3b2o3bob2o18b2o2bo2bo\$2b3o2bobobo25bo\$2b2ob5o2b3o20b3o12bo\$3b4o6b2o31bo2bobo\$4bo5b4obo16b2o11bo2bobo\$11b3obo15b3o11b2o\$12b3o30b2obo\$2b2o41b2o2b2o\$2b2o42b5o\$32b3o11b3obo2\$46b3ob3o\$47bobobo\$48b3o\$49bo\$10b2o\$10b2o17b3o\$29b3o\$29bo\$21b2ob2o2bo\$21bo3b4o3b3o\$21bobob2obo\$29bo!`

### Re: Cordership made using individual switch engines

Posted: December 31st, 2017, 8:13 am
A for awesome wrote:Not sure if this is exactly the right place to post this, but this thread inspired me to search for two-switch-engine puffers to attempt to find more simple non-traditional Cordership technology.

It might be nice to get all the two-engine puffers into an exhaustive stamp collection pattern, maybe ordered by population and/or period of output. There would be a horrible lot of them, but not a really unmanageable number, unless we look really hard for different possible stabilizations of the exhaust of every viable switch-engine pair.

This is the kind of thing I was hoping to find in the jslife collection, but when I looked for prior art this morning I only found this --

puffers-c12d-2.lif:
`#C[Editor's note: This file is very incomplete]#C1. David Bell, 3 Jul 05x = 70, y = 57, rule = B3/S2333bo\$32boo7bo\$31bobob3obbobo\$30b3o3boo3bo\$31boboboobobo\$32booboo\$33bob5obo\$37b4o11boo\$52boo6\$25bo\$24b3o33boo\$60boo\$24b3o\$25booboo5bo\$27bo7bo\$35bo3bo\$38bobo\$b3o35bo\$bbo65boo\$bbobbo62boo\$bbobbo\$3bobo\$18boo\$18boo\$24bo\$23b3o\$bbo19booboo\$bobo18bobo\$bbo19bo3\$4o\$oo3bo13bo\$bo4bo11bobo\$3boboo11bo\$4bo15boo\$21bo\$18b3o\$19boo\$16bo\$16boo\$16boo\$6boo6boo\$6boo4boo\$12boobo\$14boo5\$14boo\$14boo!`

That's a good honest first-line comment, at least --!

### Re: Cordership made using individual switch engines

Posted: December 31st, 2017, 8:37 am
A for awesome wrote:Here's an early result that I found amusing:
`x = 16, y = 14, rule = B3/S2310b3o\$11bo2bo\$15bo\$12bobo6\$2o\$obo\$obob2o\$4b2o\$b2ob2o!`

I wonder if this can be used to make a constructible metapixel.

### Re: Cordership made using individual switch engines

Posted: December 31st, 2017, 9:50 am
Gamedziner wrote:
A for awesome wrote:Here's an early result that I found amusing:
`x = 16, y = 14, rule = B3/S2310b3o\$11bo2bo\$15bo\$12bobo6\$2o\$obo\$obob2o\$4b2o\$b2ob2o!`

I wonder if this can be used to make a constructible metapixel.

Well... not really, I think, unless you happen to need a very long line of eaters at that orientation and spacing. A metapixel puffer is going to need very high-period Cordership puffers and rakes in order to not make way too much stuff.

(Also, whenever Calcyman gets around to finishing his constructible metapixel project, that will pretty much check off that particular checkbox, though it won't do it by building ridiculously complicated Corderpuffers that build metapixel-building Corderpuffers. [Ouch, my head!] Instead, the metapixels will always self-destruct after constructing their children, on a body-centered cubic lattice, while emulating a BCC automaton that simulates a Moore-neighborhood automaton at half speed. [Ouch, again.] )

In other news, dbell has emailed to say that the Isolated Switch Engine optimization game above started out with sub-optimal out-of-date components. Apparently the new fanout device would be better. Maybe starting something like this?

`x = 1653, y = 749, rule = 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But I haven't yet figured out all the details needed to attach something like this to the forward-rake generating part, and I'm out of time for today.

### Re: Cordership made using individual switch engines

Posted: December 31st, 2017, 11:07 am
Here's a higher-period one with surprisingly little debris:
`x = 53, y = 46, rule = B3/S237bo\$7bo\$7bo16b3o\$37b2o\$37b2o\$31bo\$30b3o\$30bo2b2o\$25b3o3bo2bo\$24bo4bobo\$24bo8bo\$24b2o5b2o12b2o\$31bo13b2o\$26bo3bo2b3o\$28bo\$33bobo\$36bo\$28b2o2bo3bo\$28b2o\$19bo12bo2b2o\$7b2o9bobo\$7b2o\$14b2obo33bo\$14bo2bo28bobobobo\$17bo16bo12bo3bo\$29bo2b5o10b2o\$13b2o13bo6b2o10bobo\$13b2o13bo4bob3o9bo2bo\$7b3o19b2o5b2o9b2ob2o\$6b4o23b3o\$2o2b2obo25b3o12bo3bo\$2o2bo2b2o39bo3bo\$4bo4bo38bo3bo\$5bo2b2o39b3o\$7bo4\$8b2o7bo\$8b2o6b3o11b2o\$15b2o2bo9bo2bo\$15b6obobo4bo4b2o\$16b3o2bo2bo5b3ob2o\$16b2o4bobo7bo3bo\$17b2o14b3o\$33b3o!`

A simple p192 one:
`x = 56, y = 51, rule = B3/S2337bo\$37bo\$37bo2\$34bo\$33b3o\$33b4o\$29bo6b2o\$28b2o6b3o\$27bobo6b2o6b2o\$14bo13bo4b4o7b2o\$13bobo17b3o\$13b2o19bo3\$46b3o\$34b2o8b2obo4bo\$33b4o7bo7bo\$32b3obo7b5o2b2o\$33b3obo\$34b3o\$35b2o4\$2b3o2\$o\$o\$o51bo\$51bobo\$50bo2bo\$13b2ob2o32b2o\$13b2ob2o25b2ob2o2b2o3bo\$42b2obo4b2o3bo\$44bob2o2b2o3bo\$24bo\$23b3o\$22b2o2bo\$22bo3bo\$22bob2o13bo\$22b2o13b2ob3o\$36bo2bob3o\$31bo8b2ob2o\$31bo8bo2b3o\$24bo11b7o2b3o\$24bo14bo3bo2bo\$24bo14b7o\$39b2o2bo\$41bobo\$42bo!`

I'm finding a surprising amount of p96 boat+block puffers.

A single boat puffer:
`x = 45, y = 54, rule = B3/S2325b3o5\$23b2o\$22bo2bo\$17b2o2b2ob2o\$16bobo3bobo8b2o\$3bo13bo5bo9b2o\$2bobo\$2b2o2\$37bo\$36b2o\$35bo3bo\$24bo10bo2b3o\$22b2o10bo2bo3bo\$24bobobo11bo\$26bobo6bo\$38bo8\$17b3o\$34b4o\$33bob5obo\$38b2ob2o\$34bobob2obobo\$33bo3b2o3b3o\$32bobo2b3obobo\$33bo7b2o\$41bo\$8b2o13b2o\$8bo14bo2bo\$9bo13bo3bo\$2o22b3o\$2o6b3o\$9bo\$9b2o10bobo\$20bo3bo\$25b2o\$20bo5bo\$20bo6bo\$8b2o11b2o4bo\$8b2o17bo\$23bo3bo\$23bo3bo\$24bobo\$24b3o!`

Could actually be useful.

A rediscovery of a find from Catagolue:
`x = 48, y = 48, rule = B3/S2331b2o\$31b2o2\$24bo\$23bobo\$23bobo\$24bo2\$39b2o\$39b2o5\$28bo\$27b3o\$26b2o2bo\$26b2ob2o\$29b3o\$28b2o13bo\$44b2o\$27b2o12b2o\$26bobo13bobo\$4b2o19bo3bo12b2o\$3bo2bo22bo12bo\$4b2o17bo2b2obo10bobo\$16b2o4bo2bo2bo11bo2bo\$15b3o3bo3bo16b2o\$14b2o3bob2o3bo16bo\$15bob3o3b3o19b3o\$16b3o\$2o16bo\$2o7\$8b2o\$8b2o15b2o\$21bo\$21b5obo\$19bo3bo2b3o\$20bobo\$20bo8bo\$29bo\$29bo!`

One half is p96, the other half is p192:
`x = 58, y = 52, rule = B3/S2338b3o\$8bo\$7bobo\$7b2o\$o\$o35b2o\$o34bo2bo\$30b2o2b2ob2o\$29bobo3bobo8b2o\$16bo13bo5bo9b2o\$15bobo\$15b2o\$8bo\$7bobo40bo\$6bo2bo39b2o\$7b2o39bo3bo\$37bo10bo2b3o\$35b2o10bo2bo3bo\$37bobobo11bo\$39bobo6bo\$16bo34bo\$16bo\$16bo2\$17bobo\$13b2o4b3o\$12bo\$13b2o3bo\$18bo\$47b4o\$46bob5obo\$51b2ob2o\$47bobob2obobo\$34bo11bo3b2o3b3o\$21bo10b2obo9bobo2b3obobo\$20bobo9bo4bo8bo7b2o\$22bo10bo3b2o15bo\$11b2o22b4o\$11b2o7bo\$19bo\$36bo\$35bobo\$36bo3\$19b2o\$19b2o\$33bobo\$33bo2bo\$33bo2bo\$36bo\$35b3o!`

`x = 54, y = 38, rule = B3/S2336b2o\$36b2o4\$3bo\$3bo27b3o\$3bo\$30bo3bo9b2o\$30bo3bo9b2o2\$12b2o17b3o\$12b2o\$6bo\$4b2o14b2o\$5b2o12bo2bo\$20bobo\$9bo11bo4bobo\$8b3o5b2o8bobo\$8b3o5bo10bo4b3o\$32bo2bo\$8b4o20bo13b3o\$7b5o4b2o27bo2b2o\$7b2obo7bo16bobob2o4bo2bob2o\$16b2o18b2o3bo6bobob2o\$25bo11b4o7bobo2bo\$22bo3bo5b3o3b2o8bo4bo\$2o19bo5bo20bo3bo\$2o6bobo11b2ob2o22b3o\$8bo2bo\$7bo3bo10bo\$6b3o2b2o9b4o\$7bo3bo11bobo\$8b3o14bo\$9bo14b3o\$23b2ob2o\$24b3o\$25bo!`

### Re: Cordership made using individual switch engines

Posted: December 31st, 2017, 6:45 pm
Fixed up the idea I had before I came up with the cleaning-reflectors, in case it ends up working better: (EDIT:
Optimized)
`x = 578, y = 514, rule = B3/S23234b3o\$233bo\$233bo3bo\$231b2o3b2o\$230bo2bobo2bo\$230bo2bobo2b2o\$232b2ob2o2bo\$233bo4bo\$236b2ob2o\$235b4o\$236b2o13b2o\$251b2o3\$236bo\$237bo\$236bo2\$158bo100b2o\$157bobo5bo93b2o\$163b2ob2o73b2o\$157b3o2bo3b2o66bo5bo2bo\$163b2ob2o66bo5bo2bo13bo\$163b4o67bo4b2ob2o10bo\$177b2o61b2o12b2o\$177b2o76bo\$255bo11b2o\$253b2o12b2o\$249b2o2bobo\$249b3o\$239b2o7bob2o\$239b2o5b2o\$185b2o57b3o\$185b2o60b3o\$170b3o77bo\$160b4o4b4ob2o69bobo\$160bobob2o4b2o2bo70b2ob2o\$161b2o9b3o72bo\$163bo3bobo5\$216b2o\$165b2o50b2o\$165b2o49bo25bo\$242bo\$152b2o88bob3o\$151bobo90b3o\$153bo91bo13b3o\$168bo76b2o\$166b2o78bo\$167b2o77b2o13bo\$260b2o\$243b2ob2o11b3o6b2o\$244b3o12bo8b2o54bo\$230bobo11bo12bo66bo\$230b2o25bo3b2o61bo\$231bo29b2o64b2o\$184b2o72bo68b2o12b2o\$185b2o72bo2bo59bo3b3o11b2o\$184bo74b3o3bo3bo53b3o15bo\$265bo58bo15b3o\$120b2o148bo52b2o15b3o\$119bobo146b4obo49b3o16bo\$121bo151b2o50bo14bo2bo\$248b2o4b2o16b2o49bo16b3o5b2o\$248b2o3bobo8b2o59bo15bo6b2o\$255bo9b2o56b3o\$210b2o52b2o\$206b2o3bo50b3o\$195b3o7bo6bo49bo\$137bo60b3o5bo3b5o47bo\$134b4o60b3o6bo3bo\$199bo11bo2bo41b2o80bobo15b2o\$152b2o58b2o7b2o33b2o80bo2bo14b2o\$153b2o66b2o115bo2bo\$137bobo12bo185bo3bo\$138bo189b2o9bobo\$88b2o46b2o10bo179b2o10bo\$87bobo46bo2bo8b2o71bo\$89bo45b2ob2o9bo72b2o\$223bo106b2o\$221bo7b2o100b2o\$223bo5b2o99bo\$211b2o8b3o\$211b2o7b2o\$201b2o6b4o7b2o\$201b2o5bobo9b3o\$208bobo\$5bo\$4b2o242bo\$3b5o132b2o17b2o85b2o\$2bo19bo117b2o20b2o4bo78b2o\$b2o5bo13bo136b2ob4o3bo\$3ob2o8bobo5bo33b2o98b5o4b4o40b2o\$bobob2o2b2o3bobo38bobo101b3o6bo40b2o125b2obo\$2bo2bo2b2o5bo41bo102bo165bobo6b3obo6bobo\$4b2o153b3o136b2o26b2o6bo4bobo4bo\$6b2obo20b2o134bo12b2o118b2o26bo7b2o6bobo3bo\$9bo12b3o5b2o116b2o16bo12b2o117bo37bo3bo2bo2b2o\$20b2o2bo123b2o189bob2o3bo\$21b3o314bobo16b2o\$22bo315bobo16b2o4\$38b2o147b2o\$38b2o116b2o29b2o\$156b2o19bo\$175b2obo186b2o\$10b2o12b2o135bobobo10b2ob2o175b2o7b2o\$10b2o11bobo135bo2b2o11bob2o4b2o156bo9bob4o\$25bo135b2ob2o12bobo5b2o150bo3b5o5b2obo3b2o\$33b2o143b3ob3o2bo78b2o69bobo7b2o4bo2b2ob2o\$20b2o11b2o11b2o132bob5o80b2o68bo7bob2o5b6o\$20bo2bo22b2o116b2o7b2o7b2ob2o79bo23bo47bo8b2o6bo\$21b3o140b2o7b2o115bo48bo3b4o\$182b3o107bo5bo45b3o\$18b2o162bobo106bo6bobo\$18b2o159b4obo3b3o99bo3bo2bo\$179bo2b2o107bo2bobob2o36b2o\$41b2o137b3o113bob2o35bobo7b2o\$41b2o11b2o125bo50bo77b2o25bo7b2o\$54b2o174b2o78b2o\$231b2o2\$40b2o363bo\$39b2o167b3o194bo\$41bo165bo2bo99bobo91bobo\$49b2o155bo4bo22b2o74b2o93b2o2bo11b2o\$49b2o11b2o142bo2b3o23b2o74bo6b2o84bo5bo9bo2bo\$62b2o142bo5bo21bo83b2o24bo59bo5bo10b2o\$207b7o85b2o3bo37b2o60bo4bo12bo\$213bo83b3o4b2o37b2o63bo13bo\$213bo78b3obo8b2o98b3o13b2obo\$211b2o83bobo2b5o9bo104b2o\$186bo110bo3b3o10b2o108bo\$57b2o126bobo215b2ob2o12bob3o4b2o\$57b2o11b2o113b2o124bo2bo93bo12bo2bo4b2o\$70b2o138bo100bo2bo88b2o16b3o\$209bobo99b3o91b3o\$208b2obo\$56b2o150b2o11b2o75b2o\$55b2o152b3o8bo2bo74b2o8b2o\$57bo136bo15bo10b2o84b3o109b2o\$65b2o126bobo15bo2bo92b3o112bo14b2o\$65b2o11b2o113b2o13bo6bo92bobo108bo2bo14b2o\$78b2o128bo6bo92bobo109b2o\$208bo4b3o92b3o109b2o\$409b2o8bo2bo\$409b2o8bo\$420b3o\$202bo209b2o\$73b2o126bobo209b2o\$73b2o11b2o113b2o209bo\$86b2o125b2o\$213b2o2\$72b2o\$71b2o\$73bo136bo\$81b2o126bobo\$81b2o11b2o113b2o\$94b2o125b2o105bo\$221b2o103b2o\$327b2o2\$244bo171b5o7bo\$218bo23b2ob2o133b2o32b2o5b2o4bobo\$89b2o126bobo25b2o134b2o23bobo5bo7bo4bo\$89b2o11b2o113b2o23b3o15b2o118bo25b2o6b2o7bo3bo2bo\$102b2o125b2o13bo3bo10bo2bo144bo8b2o6bo3b3o\$229b2o12bo3bo171bo\$244b3obo170bo4bo13b2o\$88b2o156b2o172b2obo14b2o\$87b2o156bobo10b2o\$89bo136bo19bo11b3o2b2o\$97b2o126bobo17b2o12bo\$97b2o11b2o113b2o17b3o11b2o5bo2b2o\$110b2o125b2o5bob2o11bo4bo3b2o\$237b2o4b5o11bo\$260bobo172bo3bo6b2o\$261bo8bo162bo2bob3o5b2o\$270bo165bobobo\$234bo113b2o74bobo7bo\$105b2o126bobo22b3o16bo71b2o67b2o4b3obob2ob2o\$105b2o11b2o113b2o23b3o15b2o70bo69b2o6bo2b2o3bobo3bo\$118b2o125b2o14b2o3bo7bo2bo156bobo\$245b2o10b3o2bo13bo95bo\$275b2o95bo5b3o\$104b2o156bo108bobo3b2o2bo\$103b2o152b2o3bo7bo101bo3bo5bo35b2o\$105bo136bo15bo2bo7b3o100bo3bo40bobo\$113b2o126bobo15bobo7b3o105bo2b2o37bo6b2o\$113b2o11b2o113b2o25b2ob2o105b2o11b2o33b2o\$126b2o141b3o40bo78b2o\$269b3o38b2o\$289b3o19b2o\$288bo196b3o\$288bo3bo192bo2bo\$250bo35b2o3b2o23b2o170bo\$121b2o126bobo33bo2bobo2bo23b2o71bobo92b2o15b2o\$121b2o11b2o113b2o34bo2bobo2b2o21bo73b2o7b2o83bobo15b2o\$134b2o151b2ob2o2bo90bo5bo7b2o84bo2b3o\$288bo4bo81b2o9b2o36bo61b2o2bo\$291b2ob2o78bob3o8b2o33b2o62bo3bo\$120b2o168b4o80bo3bo10bo33b2o62bobo10bobo\$119b2o170b2o82b2obo5b5o6b2o92bo12bo\$121bo145bo108bo10bo6bo2bo88bo2bo16bo\$129b2o135bobo124b2ob2o88bo13b3o7b2o\$129b2o11b2o122b2o124bobo106b2o7b2o\$142b2o147bo99b2o92b2o2bo11b2o\$292bo98bo3bo90b3o13b2o\$291bo100bo2bo107bo\$302b2o75b2o11b3o\$301bo2bo74b2o120bo\$275bo26b2o87bo108bobo\$137b2o135bobo19b2o93bo108bo17b2o\$137b2o11b2o122b2o13bo5bo2bo89b2o109bo3b2o13b2o\$150b2o137bo5bo2bo89b2o110bo2b2o\$289bo4b2ob2o89bo2bo108bo\$295b2o92b3o98b2o\$136b2o252bo99b2o7b2o2b2o\$135b2o357b2o3b6o\$137bo145bo211b2o5bo\$145b2o135bobo209bo\$145b2o11b2o122b2o\$158b2o134b2o\$294b2o4\$291bo\$153b2o135bobo\$153b2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The third fanout stream should be pulling the blocks into the proper position for the tail reaction.
All that remains should be some glider math and then reductions.

### Re: Cordership made using individual switch engines

Posted: December 29th, 2018, 1:03 am
Here is an update on Coorderships based on individual switch engines.

While recently looking to make a smaller ship, I found this new reaction which for some reason I overlooked on all my previous searches.

`#C A switch engine reaction which cleanly turns the gliders from a forward#C glider stream into sideways gliders.  It is shown here supported by a#C period 96 forward rake.#C David I. Bell, December 2018x = 288, y = 268b3o\$bobo\$b3o\$17boo\$16bobboo\$3boo11booboo\$booboo14bo\$boobboo10boo\$oo3boo11bo7boo\$boobboo19boo\$bbobo4\$18b3o\$15b3obo\$16booboo\$16booboo\$18bo\$\$6boo\$6boo\$38boo\$38bobo\$38bo4\$14boo\$14boo9\$54boo\$54bobo\$54bo14\$70boo\$70bobo\$70bo14\$86boo\$86bobo\$86bo14\$102boo\$102bobo\$102bo14\$118boo\$118bobo\$118bo\$258bo\$258bo\$258bo8bo\$265bobo\$259b3obbo3bo\$260bob5o\$266bo\$261boo15boo\$278boo5\$134boo\$134bobo\$134bo151boo\$269bo16boo\$268b4o\$266b5obo\$260b3obbo6boo\$264bo3bob3o\$265bobobboo3\$250b3o\$259bo\$252boo5b3o\$252b4o4bo\$252boob3oboo\$150boo105bobo\$150bobo\$150bo\$\$257boo\$256bobbo\$257bobo\$258b3o\$259bobbo\$260bo\$257bo5bo\$256bobbo\$254bobboboboo\$242bo11bobb4o\$241boo10bo\$240b5o12b3o\$166boo71bo11boo3b3o\$166bobo69boo5bo4boo4boo\$166bo70b3oboo10boo11boo\$238boboboobboobboo14boo\$239bobbobboo4bo\$241boo11bo\$243boobo6bo\$246bo3\$269b3o\$267boo3bo\$267bo3bo\$236bo32boboo\$235bobo30booboboo\$234booboo30bobo\$182boo50booboo33b3o\$182bobo48b3o\$182bo50b3o3bo22bobo\$233b3o4bo21boo\$234boo5bo21bo\$212b3o19b3o\$212bobo20boo\$211bo3bo20boo\$211bo3bo\$211bo17boo\$211bo4boo11boo4bo\$211bo6bo15bobo\$212bo5bo14b4o\$212boo18boobo\$214bo3bo13booboo\$215bobo10boo3boo\$198boo29bo\$198bobo27b3o\$198bo13b3o\$211bo3bo13bo\$212bobbo14bo\$214boo13boo\$229bo\$\$226bobbo\$228b4o\$225bo\$226boobboo\$\$217boo7boo\$217boo6boo\$226boobbo\$214boo\$186boobbo23bobo\$189bobo22bo31bobo\$188bo16bo40boo\$205bo41bo\$190boo13bo19boo\$225boo\$191boo12boo\$190bo13bobbo\$188booboo11bobo6boo\$191boo10boo8boo\$189bo13bo\$206boo\$206boo\$206boo\$203boobo\$183bo20b3o23boo\$179boobobo7boo11bo15boo7bobo\$179bobbooboobboo3boo25boo7bo\$179bo5bobo\$180boobbo\$165b3o16bobb3o\$164bobbo16b3o13bo\$163bo4bo30bobo28bo\$163bobb3o31bo28bobo\$163bo5bo59bobo\$164b7o59bo\$170bo\$170bo54boo\$168boo43b3o8bobbo\$215bo9boo\$214bo\$143boo21bo\$143b3o19b3o\$143boobo17bo3boo\$147bo17booboo\$139bo3boo3bo16booboo\$149bo5bo6boo\$146bobo5bo4b3o\$120bo25bo6b3o3boobboo\$119boboo18bo4bobo5boo3boboboo\$123bo31boobbo\$117bo3bobbo20b4o7booboo\$115bo9bo11b3o5boo10b3o\$115bo4boobboo\$124boo55b3o\$117bo5bo59bo\$118bo4b3o56bo\$119bo4boo12b3o25boo9bo\$121b4o12booboo24boo8bobbo\$136boboboo33bo4bo\$136bo3bo34bo5bo\$137bobbo33booboo\$137b3o37boobo\$176boobbo\$176b4o\$174b3obo\$174boo3\$126boo\$126boo7\$134boo\$134boo!`

Here is a new Coordership using individual switch engines using this reaction.

`#C A period 96 Coordership based on individual switch engines.#C This uses a forward to sideways reaction, many sideways to sideways#C reactions, a fanout device to produce two adjustable output streams,#C and a honey farm producing component.#C This is an improvement on previous versions of these spaceships.#C David I. Bell, December 2018x = 537, y = 669307b3o\$306bobbo\$305bo4bo\$305bobb3o\$305bo5bo\$306b7o\$312bo\$312bo\$310boo12boo\$324boo3\$309bo\$308bobo\$307boobo\$307boo\$308b3o21boo\$309bo22boo\$310bobbo\$307bo6bo\$307bo6bo\$307bo4b3o5\$320boo\$322bo\$312boo7bo\$312boo5boo\$318b3o\$317bobbo\$317bobo\$317b3o\$\$295b3o\$297bo22boo\$296bo23boo14\$263b3o\$265bo\$264bo10\$301bobo\$301boo\$302bo\$\$231b3o\$233bo\$232bo14\$199b3o\$201bo\$200bo10\$285bobo\$285boo\$286bo\$\$167b3o\$169bo\$168bo7\$325boo3b4o\$320b3obobbo6bo\$324bobbobb5o\$324bobbo\$326bo\$323bobo17boo\$324bo18boo\$135b3o\$137bo\$136bo4\$351boo\$351boo\$338bo\$329b3o7bo\$324boo3b4o7boo\$323boo3bo4bo6boo\$269bobo56booboo4bo\$269boo57b4o3b4obbo3bo\$270bo58bo5bo9bo3b5o5boo\$335bobo3bo5bobobobbo4boo\$103b3o230boobo4boo5bobbo\$105bo244booboo\$104bo240boo4boo\$331b3obo8bobbo\$333boo9bobo\$335bo9bo4\$314bo\$314boo\$313bobo4\$335b3o\$71b3o261bobbo\$73bo264bo\$5bo66bo262boo15boo\$4boboo326bobo15boo\$8bo326bobb3o\$bbo3bobbo326boobbo\$o9bo11b3o311bo3bo\$o4boobboo326bobo10bobo62b3o\$9boo328bo12bo61bo3bo\$bbo5bo273bo53bobbo16bo56bo3boo\$3bo4b3o271boo52bo13b3o7boo52bo\$4bo4boo12b3o5boo248bobo67boo7boo53b4o\$6b4o12booboo4boo220bobo79boobbo11boo64boboo\$21boboboo226boo81b3o13boo63bobbo\$21bo3bo11bobo214bo98bo64boo12boo\$22bobbo11bobbo391boo\$22b3o14boo\$40bo277bo\$316boo99bo\$317boo98bo\$40bobo373bobo\$346b3o3bo64bo\$340boo4bobobbobo63boo21boo\$11boo275bobo49boo5b3o4bo62b3o20boo\$11boo214b3o58b3o60bo\$227bobo20bo37boo15bo44bobbo61bo4boo\$226bo3bo19boo53bo109bo5bo13bo\$226bo3bo18bobo52bo110bo5bo12bobbo\$45b3o178bo64bo13boo113bo12booboo\$45bo180bo4boo56bobo12bobbo126bobbo\$46bo179bo6bo55b3o12bobo41boo83b4o11boo\$19boo206bo5bo58bo20boo33boo81b3o14boo\$19boo206boo59b5o12bo7boo115bo\$229bo3bo69bobbo12b3o106boo3bo\$230bobo71b4o13bo98boo6boo\$240boo64boo12bo99boo5boobboo\$239bobbo61bo122boboo\$227b3o10boo61boo121booboo\$226bo3bo72bobbo120bobo\$227bobbo73b3o121bo\$229boo74bo3\$293boo\$61b3o229boo\$61bo\$62bo\$\$232boo162bo\$232boo12bo149boo25boo\$245b3o14boo131bobo24bo\$244bo10bobbo4bo37boo119bobbo\$245booboo6b3obbobbo36boo117boob4o\$246b3oboo5boobbobbo68bobo83bo20b3o\$248b4o9bobbo68boo84bo3b3obbo\$262b3o6boo61bo84bobbobbob3o3bobo\$240boo29boo148boo4b3o4bo\$240boo181boobobo\$414bo9boobo14bo6boo\$412boo13bo12b4o5boo\$77b3o333boo24bo3bo\$77bo361bobbo\$78bo361b3o6bo\$279boo167boboob3o\$248boo23boo4boo83bo85b4o\$248boo23boo89boo81b3obbo4boo\$363bobo88bo\$277boo172boo4boo\$256bobbo13bobooboo173b3o\$256b4o12b3obobo\$271bo157boo\$256bobbo10b5obbo151boo11bobo\$259bo9bo7bo155b3o6bobbo\$256bobo10bobobb3o106bo51bo6bobbo\$256boo12boo107b4oboo5b3o40bo8boo\$378boob3oboo4b3o\$93b3o184b3o96bob3obo7boo\$93bo286bo3b4o4boo102b3o\$94bo288boob3o48boo56bo3bo\$384b5o13boo33boo55bo4bo\$274bo57bo52bo16boo89bo3bo\$276bo55boo159bobbob3o\$331bobo159bo7bo\$495bo3bobo\$272bobo220bo3boboo\$271bobbo22boo18bobo81boo94b3oboo\$271bo28boo4bo10boo81bobbo109boo\$271booboo21boob4o3bo10bo82boboo5boo101boo\$271boo21b5o4b4o96boo5boo\$272bobo22b3o6bo83bo12boo\$273bo24bo88boo4bo103boo\$297b3o82boo5boo3bo6b3o93boo\$109b3o192bo77boo7boboo7bo95bo\$109bo168bo25bo\$110bo166bobo149bobo66bo22boo\$277boo150boo90boo\$430bo\$496bo5b3o11boo\$496bo7bo10b4o\$390boo104bo5bobo10b3oboo\$390boo110boo15boo\$286bo231boo\$285bobo229boo10boo\$285boo227booboo10boo\$299boboobo209b3o\$298bo4b3o204b5o\$299bo5bo195boo9bo\$300bo3bo196boo7b3o\$125b3o173bobo204bobo\$125bo168bo211booboo\$126bo166bobo211bobbo\$293boo213bobo\$305boo201b3o\$305boo3\$328bo\$302bo23booboo\$301bobo25boo\$301boo23b3o15boo132bo\$313boo13bo3bo10bobbo131boo\$313boo12bo3bo145bobo24bobo\$328b3obo170bo\$330boo172bobbo\$141b3o185bobo10boo162bobo\$141bo168bo19bo11b3obboo160bo11b3o\$142bo166bobo17boo12bo69bobo92b3o\$309boo17b3o11boo5bobboo59boo93bo\$321boo5boboo11bo4bo3boo60bo91boo\$321boo4b5o11bo164bo13b3o\$344bobo159bobbo12b3o5boo\$345bo8bo139bo11bobo13boo6boo\$354bo137boo12bo14bo\$318bo174boo24boobbo\$317bobo22b3o16bo158bo3bo9bo\$317boo23b3o15boo84bo73bobbo10bo\$329boo14boo3bo7bobbo84boo73b3o7bo\$329boo10b3obbo13bo84bobo79boo6bo\$359boo167b4o\$346bo185bo3bo\$157b3o181boo3bo7bo178bo\$157bo168bo15bobbo7b3o178bobo\$158bo166bobo15bobo7b3o154boo11b3o9bo\$325boo25booboo153boo3b3o5b4o\$353b3o161bo4boobboo\$353b3o116bo43bo6boobo\$458boo7boobbobo49b3o\$458b3o6b4o3bo49bo\$458boobobo7bo\$334bo126boo10boboo\$333bobo137bobo42boo\$333boo79bo59bo8boo33boo\$414boo67boo\$413bobo3\$173b3o307bo\$173bo177bo130bobo\$174bo175bobo44bobo82bobbo\$350boo28boo3b4o8boo85bo6boo\$375b3obobbo6bo8bo85boo5boo\$379bobbobb5o\$379bobbo89b3o8bo\$381bo81boo5bo4bo7b3o\$378bobo82boo6boobbo6bobbo\$359bo19bo91bo11bo\$358bobo\$358boo149bobo\$509boo\$510bo\$\$471boo\$189b3o134bobo142boo\$189bo136boo39bo\$190bo136bo38bobo\$366boo16b3o\$379boo3b4o\$378boo3bo4bo\$383booboo\$383b4o\$384bo\$375bo\$374bobo\$374boo\$386boo\$386boo3\$205b3o\$205bo177bo\$206bo175bobo\$382boo\$394boo\$394boo26bo\$408bobo6bobb4o\$407bo9bob4o\$408bobbo6b3o3boo\$391bo18b3o9bobboo\$390bobo30boboo\$390boo32bo8boo58bobo\$402boo29boo58boo\$402boo90bo3\$221b3o86bobo\$221bo88boo87bo\$222bo88bo8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BCNU,
-dbell

### Re: Cordership made using individual switch engines

Posted: December 29th, 2018, 9:48 am
dbell wrote:
`#C A switch engine reaction which cleanly turns the gliders from a forward#C glider stream into sideways gliders...`

Very nice improvement -- and welcome back, and Happy New Year!

I know that obsessive bounding-box optimization isn't so much the point here. When the parts get too close together it's hard to tell that each switch engine is separate from the others. But it's just as much fun to move the pieces around in this design as in the previous ones:

`x = 434, y = 543, rule = B3/S23203bo\$200b4o2\$217b3o49bo\$268bobo\$203bobo12b2o\$204bo13b2o48bo2bo\$202b2o13bo2bo49b2o\$202bo2bo11bo8b2o43bo\$201b2ob2o10b3o7b2o57b2o\$216b2o67b2o\$219b2o\$218bo2bo\$268b2o\$216b2o52bo\$216bo2bo49b2o\$217b3o48b3o15bo\$227bo3bo36b2o16b2o5b2o\$231b2o34b3obo14b2o5b2o\$227bo5bo34bo3bo11bobo\$206b2o4b3o8bo4b5o37bo2bo11b2o\$206b2o6bo8b2o6bo38b3o14bo\$213bo10b2o45b2o12bo2bo\$224bo63bo\$219b3obo61b3o\$219b3o79b2o\$283bo17b2o\$281b3o\$214b2o63bo3bo\$214b2o57b2o4bob2o\$273b2o4bo\$282bo\$280bobo\$281bo3\$180b3o\$182bo\$181bo7\$247bo\$204bobo40b2o\$204b2o40bobo28bo\$205bo70b3o14b2o\$275bo10bo2bo4bo\$276b2ob2o6b3o2bo2bo\$269bo7b3ob2o5b2o2bo2bo\$148b3o116b2o10b4o9bo2bo\$150bo117b2o23b3o6b2o\$149bo152b2o5\$303b3o\$301b2ob3o\$215bo90b2o2b2o\$215b2o87bobo3b2o\$214bobo81bo3b4o\$297bo3bo\$282b2o\$282b2o13b2o\$297b2o\$116b3o175b2obo\$118bo114bo3b2o2b2obo39b3o7b4o\$117bo115bo3b2o4bob2o39bo9bo\$233bo3b2o2b2ob2o39bo\$169bo67b2o85bo\$168bobo64bo2bo51b2o32bo\$167bo3bo13b2o48bobo17b2o33b2o32bob3o\$167bo3bo8bo5bo49bo18b2o69b3o\$167bobob3o4b2ob3ob2ob2o137bo13b3o\$168b2obo2bo5bob2obo2b2o137b2o\$172bobo8bo144bo\$172b2o11bo3bo138b2o13bo\$185bo3bo152b2o\$187b2o136b2ob2o11b3o6b2o\$254bo8b2o61b3o12bo8b2o\$253b3o7b2o61bo12bo\$84b3o165bo2bo83bo3b2o\$86bo165b2o89b2o\$85bo150b2o2b5o8b2obob3ob2o76bo\$236bo7bo8b2o9bo19bobo54bo2bo\$236bo4bob2o9bo29b2o55b3o\$240b3o11bo30bo72b2o\$262bobo93b2o\$174b2o17bo61bobo\$174b2o16bobo\$330b2o\$192bo2bo3bob3o39b2o85b2o\$194bo4bo43b2o\$2bo7bo184bob2obobo\$b3o5bobo184b2o3bo\$2ob4o2bo2bo184bo15b2o39b2o\$b3o2bo175b2o29b2o\$2bo2b2o2bo42b3o127b2o70b2o73bo\$6b2obobo42bo199b3o72b2o\$10bo10b2o30bo199b3o72bobo\$21b2o228b3o2bo\$252bobo\$253b2o\$221b2o31bo\$190b2o12bo16b2o\$190b2o12b3o126bo\$196bo6bo3bo123b2o\$30b2o164bo3b3o4bo7bo116b2o\$6bo23b2o164bo3b3obob2o5b5o129bo\$5b4o6b2o13bobo167b2o3bo7b2ob3o120b3o3b4o\$4bo4bo4b3ob2o10bo2bo179b2o2bo121bobo3b2ob2o\$3b2o10b2ob3o4bo6bo181b3o122b3o2bo\$4bobob2o4b3ob2o3b4o3b2o166b2o8bo6bo128b2o3bo\$5b3o6b2o7b2o2bo170b2o7b2o88bo47b4o\$6bo15bo4bo178b2obo87b2o47b3o10b2o\$21b2obob2o180bo87bobo60b2o\$20b4o184b4o10b3o43bobo\$20b4o184b5o55b2o\$23b2o182b3o59bo\$9b2o13b2o180b4ob2o\$9b2o12bo181b2o2b3o\$205bo5bo\$19b3o184bo2bo157b2o\$207b3o144bo12b2o\$17bo4bo185bobo132b2o9b3o\$17bo26b3o161bobo131bobobo7b3o\$21b2o21bo164bo132bo3b2o5bo3bo32bobo\$18b2ob2o22bo297b2o8b4o32bo2bo\$20bo221b3o51bo46b3o7bob2o33bobo\$242bobo20bo28b2ob2o107b2o\$241bo3bo19b2o27b2ob2o107bobo\$241bo3bo18bobo27b2o96bo13b3o\$241bo54b2obo91bob2o11bo2bo\$220bo20bo4b2o49bo2bo90bob2o12bo\$219bobo19bo6bo48bo2bo46b2o41bo3bo12bo7b2o\$219b2o21bo5bo49b2o12b2o33b2o42b4o20b2o\$242b2o68b2o77b3o15bo\$244bo3bo68bo16b3o69bo\$245bobo67b2o19bo69bo2bo\$255b2o59b2o17bo69b3o\$254bo2bo38b3o106b3o\$60b3o165bo13b3o10b2o91bobo54bo2bo\$60bo166bobo11bo3bo50bobo49b2o56bobo14b2o\$61bo165b2o13bo2bo51bo22b2o27bo56b3o14b2o\$244b2o52bo21b2o\$298b2o\$295bob2obo94b2o\$295b4ob2o13b2o78b2o\$296b5o\$236bo61b2o17bo\$235bobo74b2o2b2o\$235b2o75b2o\$247b2o146bo\$247b2o25b2o119b2o\$264bo3b2o4b3o117bobo\$264bob2o2bo6bo22b2o4b2o2b2o\$264bo2b5o2b4o22b2o4bobob2o\$76b3o165bo23b3o3b3o28bo2b4o\$76bo166bobo21b3o40bo\$77bo165b2o22b2o17b2o18bo2bo\$255b2o10bo18b2o19b3o\$255b2o\$397bo\$308b2o85b2o8bo\$308b2o86b2o6b2o7bo\$252bo150bobob3o2bobo\$251bobo148b3o3b2o3bo\$251b2o41b2o107bobob2obobo\$263b2o29b2o67bo40b2ob2o\$263b2o17b2o79b2o40bob5obo\$281bo2bob2o74bobo44b4o11b2o\$271b2o8bo2bob3o135b2o\$271bobo7bo3b2obo\$92b3o165bo21bo2bo2b2o42bobo\$92bo166bobo9bo2bo8bo2bo45b2o\$93bo165b2o10bo2bo10bo5b2o40bo\$271bobo6b2o8bobo\$272bo7b2o6b4obo\$432b2o\$287bobo6bo111bo23b2o\$285bo3bo6bo114bo6bobo\$268bo15bo5bo5bo109bo11bobobo\$267bobo38bo52bo43bo3bo2bo10b2o\$267b2o16bo4bo16bobo50b3o43b3o2bo10bo\$287bo2bo40bo27b2ob2o43bo3bo\$287b3o17bo2bo20b2o25b2obobo45b2o\$309b2o19bobo24b3o2b3o44bo\$310bo47bo6bo\$359b5obo\$108b3o249b4ob2o\$108bo256bo46b2o\$109bo163bobo88bo12b2o33b2o\$273b2o32b2o68b2o21b3o\$274bo34bo92bo\$308b2o71bo19bo\$307b3o10b2o40bo16b2o\$307b2o10bo2bo37b2obo16b2o\$293bo12b3obo9b2o\$292bobo12bo3bo51bo48bobo\$292b2o15bo2bo47bo2bo21b2o25b2o\$309b3o49bo23b2o26bo\$310b2o\$366b2o\$359b3o5b2o\$366b2o\$124b3o174bo64bo11b4o\$124bo175bobo74bob2o\$125bo174b2o75bobo\$312b2o\$312b2o58bo\$370bo2b2o\$365b2o3bo2b4o\$365b2o3bob2obo\$309bo63b2obo\$308bobo31b3o28bo\$308b2o31bo3bo25bo4bo\$320b2o18bo4bo25b3o\$320b2o17bo3bo27b2ob3o\$339bo2bob3o27b3o\$339bo7bo25bobo\$341bo3bobo25b2o\$140b3o174bo23bo3bob2o\$140bo175bobo24b3ob2o\$141bo115bobo56b2o41b2o\$257b2o69b2o29b2o\$258bo69b2o2\$343b2o\$343b2o\$325bo18bo\$324bobo69bobo\$324b2o18bo22b2o27b2o\$336b2o29b2o28bo\$336b2o\$342bo5b3o\$342bo7bo\$342bo5bobo10b2o\$156b3o174bo14b2o10bo2bo\$156bo175bobo24bo3bo\$157bo174b2o27b2o\$344b2o\$344b2o9bo\$353b2o\$351b2o5bo\$353b2o13b3o\$341bo15bo\$340bobo11b4o\$340b2o11bo\$352b3o2bo\$353bo2b2o\$354b3o\$355bo2\$172b3o174bo\$172bo175bobo\$173bo67bobo104b2o\$241b2o\$242bo4\$366bo\$365bobo12bobo\$365b2o13b2o\$381bo5\$188b3o183bo\$188bo184bobo\$189bo183b2o9\$337bo\$336bo\$336b3o3\$204b3o\$204bo\$205bo19bobo\$225b2o121bo\$226bo12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