c/5 diagonal rake

From LifeWiki
Jump to navigation Jump to search
c/5 diagonal rake
#C p450 diagonal rake used in Paul Rendell's stack constructor #C by Matthias Merzenich and Adam P. Goucher x = 570, y = 884, rule = B3/S23 53bo$52b2o$51bo$49b3ob2o$48b2obo3bo$47bob3o$46b2obobob2o$47bob2obo$47b o2$46bo5bo$46bo4bo$45bo2bo$44bo$38bo3b2o$37b4o$36bo7bo$35b5o$35bobobo$ 34b5o4bo$33bo5bo2bo$32b2obo2bo$35bo2bo$36bo6$47b2o$47bobo$47bo21$69b3o $69bo$70bo20$92b2o$92bobo$92bo21$114b3o$114bo$115bo20$137b2o$137bobo$ 137bo21$57b2o100b3o$57b2o100bo$56bo2bo100bo$53b2obo2bo$59bo$51b2o3bo2b o$51b2o5bo$52bob5o$53bo3$50b3o$50bo$48b2o$21bo20b2o4bo$20b2o20b3o3bo$ 19bo20bo4bo$17b3ob2o17bo3bo$16b2obo3bo20bo$15bob3o19b2obobo$14b2obobob 2o14b2o5bo$15bob2obo16b2o4b2o$15bo23b4o68b2o69b2o$111b2o69bobo$14bo5bo 5b2o82bo2bo68bo$14bo4bo5bo81b2obo2bo$13bo2bo14b2obo78bo$12bo21bo70b2o 3bo2bo$6bo3b2o13bo2bob5o70b2o5bo$5b4o17b3o2b2o73bob5o$4bo7bo15bobo76bo $3b5o22b2obo$3bobobo24bobo$2b5o4bo16b2o2bo2bo68b3o$bo5bo2bo21bo2bo68bo $2obo2bo24bo2bo67b2o$3bo2bo24bo2bo61b2o4bo$4bo26b3o62b3o3bo$94bo4bo$ 94bo3bo$98bo$93b2obobo$91b2o5bo$91b2o4b2o$93b4o$204b3o$204bo$205bo10$ 29b2o$28bo2bo$27b2o2bo$27bo2b3o$24b2obo2b3o$23b2o5b2o$30b2o$23b2ob5o$ 25b5o2$23bo203b2o$22b2o203bobo$22bo204bo$20b2o$14bobo2b2o$13b2obo$13bo 3bo$16b2o$11b3o2b2o$10b2o4b2o$9bo6b2o$9bo2b5o$10b6o$12b2o9$75bo$74b2o 173b3o$73bo175bo$71b3ob2o173bo$70b2obo3bo$69bob3o$68b2obobob2o$69bob2o bo$69bo2$68bo5bo$68bo4bo$67bo2bo$66bo$60bo3b2o228b2o$37b3o19b4o230bo2b o$36bo21bo7bo225b2o$35bo2b2o17b5o231bob2o$33b2obob2o17bobobo232bobo$ 32bo2bo2b2o16b5o4bo228b5o$32bo3bobo16bo5bo2bo231bo2bo$32bob2obo16b2obo 2bo233b2obo2bo$33bobo21bo2bo232bo7bo$33b4o21bo213b2o11bo6bo2bob2o$32b 5o78bo156bobo9b3o4bo6bo6b2o$31b2o3bo77b2o156bo10bo3b2obo9bo3bobo$30bo 2bo79bo169bo2bobobobo6bobob2o$29bo2bo78b3ob2o167bob4o7b2o2bob2ob2o$28b o81b2obo3bo170bobobo3bob2o7bo$22b3o2b2obo78bob3o174bo3b2o2b2o6b2o3bo$ 21bo3b3obo78b2obobob2o172bo5bobo6bo2bo2bo$21bo2bob2o81bob2obo175bo3bo 7bo$20bobob4o81bo181bo3b2o4bobo3b2o2bo$19bobobo2b3o128b2o141bo10b2o$ 18bo5bo83bo5bo41bo2bo135b2o4bo2b4o3b2o$18bob4o84bo4bo41b2o2bo134b3ob2o 3bo5b2o$18bob3o84bo2bo44bo2b3o132bo4bo4bo3bo$106bo45b2obo2b3o132b2obo 6bo5bo$100bo3b2o45b2o5b2o136b2obobobobobob2o$99b4o55b2o141bo7b2obo$98b o7bo44b2ob5o139bo5bob3o3b3o$97b5o51b5o141bo4bo2b2o$97bobobo199b3o11b3o $96b5o4bo45bo150b2o4b2o6bo$95bo5bo2bo45b2o157bo7bobo3b3o$94b2obo2bo49b o25b3o130bo8bo5bo2b2o$97bo2bo47b2o25bo111b3o4b3o14bo5bo3bo2bo2b2o$98bo 43bobo2b2o25bo2b2o107bo7bo16b2o6bobob2o$141b2obo27b2obob2o106bo2b2o5bo 15bobobob5obo$141bo3bo25bo2bo2b2o104b2obob2o24bo2bo4bobo$144b2o25bo3bo bo104bo2bo2b2o23bo2b2obo2bo2bo$139b3o2b2o25bob2obo105bo3bobo28bo8bo$ 138b2o4b2o26bobo107bob2obo27b3o5bo2bo7bo$137bo6b2o26b4o43b2o62bobo32b 2o5bo4b2obob2o$137bo2b5o26b5o43b2o62b4o26bo2b2o3bo7b3o$138b6o26b2o3bo 42bo2bo60b5o26b4obo7b2obo6bo$111bo28b2o27bo2bo42b2obo2bo59b2o3bo26bo5b o2bo3bo2bobo3bobo$46b2o61b3o9bo3b2o41bo2bo49bo58bo2bo36b2o2b2ob3obo3bo bobo$46b2o70bo3bob2obo39bo45b2o3bo2bo57bo2bo31b2o8bobo4bo$45bo2bo62bo 5bo2bobo4b2o32b3o2b2obo43b2o5bo57bo35b2o10bo5bobo4b3o$42b2obo2bo68b2o 2b3o2b2o32bo3b3obo45bob5o51b3o2b2obo42b4o12bo3bo$48bo51b2o5bo2bo11b2o 36bo2bob2o48bo55bo3b3obo42b2o16bo3bo$40b2o3bo2bo51b2o5bobo49bobob4o 104bo2bob2o44b2ob3o12bo$40b2o5bo51bo2bo4b2o49bobobo2b3o102bobob4o50bo 13bobo$41bob5o48b2obo2bo54bo5bo48b3o54bobobo2b3o43bo20bo$42bo59bo54bob 4o49bo55bo5bo46bo6bo$94b2o3bo2bo54bob3o48b2o56bob4o48bo2b2o$94b2o5bo 102b2o4bo57bob3o49bobo$39b3o53bob5o102b3o3bo106b2o6b2o$39bo56bo105bo4b o109bobo$37b2o163bo3bo110bo8bob2o$31b2o4bo168bo121bob2o$31b3o3bo55b3o 105b2obobo121bo$29bo4bo58bo105b2o5bo125bo$29bo3bo57b2o106b2o4b2o122bo 3bo$33bo51b2o4bo109b4o125bobo$28b2obobo51b3o3bo$26b2o5bo49bo4bo$26b2o 4b2o49bo3bo$28b4o55bo$82b2obobo$80b2o5bo75bo$80b2o4b2o74b2o$82b4o75bo$ 159b3ob2o$158b2obo3bo101b2o$157bob3o106b2o$156b2obobob2o102bo$157bob2o bo$157bo2$62bo28b2o63bo5bo176b3o$62bobo26b2o63bo4bo177bo$62b2o26bo2bo 61bo2bo181bo$87b2obo2bo60bo$93bo54bo3b2o$85b2o3bo2bo53b4o$85b2o5bo53bo 7bo$86bob5o52b5o$87bo57bobobo$144b5o4bo$143bo5bo2bo$84b3o55b2obo2bo$ 84bo60bo2bo$82b2o40bo21bo$76b2o4bo40b2o$54b3o19b3o3bo39bo$53bo20bo4bo 40b3ob2o$52bo2b2o17bo3bo40b2obo3bo$50b2obob2o21bo39bob3o$49bo2bo2b2o 16b2obobo38b2obobob2o$49bo3bobo15b2o5bo39bob2obo$49bob2obo16b2o4b2o39b o$50bobo20b4o285b2o$50b4o63bo5bo238bobo$49b5o63bo4bo239bo$48b2o3bo62bo 2bo$47bo2bo64bo$46bo2bo59bo3b2o$45bo62b4o$39b3o2b2obo59bo7bo$38bo3b3ob o59b5o$38bo2bob2o61bobobo$37bobob4o60b5o4bo$36bobobo2b3o58bo5bo2bo$35b o5bo61b2obo2bo$35bob4o65bo2bo$35bob3o67bo2$221b3o$223bo$222bo3$220b2o$ 220b2o$219bo2bo$216b2obo2bo$222bo$214b2o3bo2bo$214b2o5bo$215bob5o$216b o3$213b3o$213bo$211b2o$63b2o119bo20b2o4bo$63b2o118b2o20b3o3bo$62bo2bo 116bo20bo4bo$59b2obo2bo114b3ob2o17bo3bo$65bo113b2obo3bo20bo$57b2o3bo2b o112bob3o19b2obobo$57b2o5bo112b2obobob2o14b2o5bo$58bob5o113bob2obo16b 2o4b2o$59bo118bo23b4o2$177bo5bo76b2o$56b3o118bo4bo75b2o2bo$56bo119bo2b o23bo54b3o$54b2o119bo27b2o3b2o48bobo$48b2o4bo114bo3b2o33b2o44b4o2bo$ 48b3o3bo113b4o31b2o3bo2bo42b3o3bo$46bo4bo115bo7bo23bobo2bo2bobobo44bob 2o$46bo3bo115b5o28bo2bobo6bo43bo6bo$50bo115bobobo28bobo2bo3b2o45b2o4bo $45b2obobo114b5o4bo30bo2bo48b3o$43b2o5bo113bo5bo2bo21b3o8bo46b2o$43b2o 4b2o112b2obo2bo83b2o$45b4o117bo2bo29bo53b2o$167bo31bo50b3o$199bo44b2o 4b3o$244b2ob2o$201b2o41b3obo$201b2o41bo4bo$241b3o2bo2bo$241b2o3bo2bo$ 240bob4o$240bo7bo$241bo5bo3$199b2o$202bo$199bo2bo$200b2o$193b2o5b2o$ 191b2o2bo3bo2bo$191b3o5bo$191bobo6b3o$187b4o2bo$187b3o3bo$189bob2o$ 188bo6bo$188b2o4bo$190b3o$186b2o$186b2o$186b2o$183b3o$177b2o4b3o$177b 2ob2o$177b3obo$177bo4bo$174b3o2bo2bo$174b2o3bo2bo$173bob4o$173bo7bo$ 174bo5bo71$289bo$288bobo$289b2o6$230b2o$229bo2bo$228b2o2bo$228bo2b3o$ 225b2obo2b3o$224b2o5b2o$231b2o$224b2ob5o$226b5o2$224bo$223b2o$223bo$ 221b2o$194bo20bobo2b2o$193b2o19b2obo$192bo21bo3bo$190b3ob2o21b2o$189b 2obo3bo15b3o2b2o$188bob3o18b2o4b2o$187b2obobob2o14bo6b2o$188bob2obo16b o2b5o$188bo22b6o$213b2o$187bo5bo$187bo4bo$186bo2bo$185bo56bo$179bo3b2o 56b2o$178b4o58bo$177bo7bo52b3ob2o$176b5o56b2obo3bo$176bobobo55bob3o$ 175b5o4bo50b2obobob2o$174bo5bo2bo52bob2obo$173b2obo2bo56bo$176bo2bo 104b2o$177bo57bo5bo41bo2bo$235bo4bo41b2o2bo$234bo2bo44bo2b3o$233bo45b 2obo2b3o$227bo3b2o45b2o5b2o$226b4o55b2o$225bo7bo44b2ob5o$224b5o51b5o$ 224bobobo$223b5o4bo45bo$222bo5bo2bo45b2o$221b2obo2bo49bo25b3o$224bo2bo 47b2o25bo$225bo43bobo2b2o25bo2b2o$268b2obo27b2obob2o$226bo41bo3bo25bo 2bo2b2o$226b2o43b2o25bo3bobo$225bobo38b3o2b2o25bob2obo$265b2o4b2o26bob o$264bo6b2o26b4o43b2o$202b2o60bo2b5o26b5o43b2o$201bo2bo60b6o26b2o3bo 42bo2bo$200b2o2bo62b2o27bo2bo42b2obo2bo$200bo2b3o89bo2bo49bo$197b2obo 2b3o88bo45b2o3bo2bo$196b2o5b2o83b3o2b2obo43b2o5bo$203b2o82bo3b3obo45bo b5o$196b2ob5o23b2o58bo2bob2o48bo$198b5o24b2o57bobob4o$226bo2bo55bobobo 2b3o$196bo26b2obo2bo54bo5bo48b3o$195b2o32bo54bob4o49bo$195bo25b2o3bo2b o54bob3o48b2o$193b2o26b2o5bo102b2o4bo$187bobo2b2o28bob5o102b3o3bo$186b 2obo33bo105bo4bo$186bo3bo138bo3bo$189b2o142bo$184b3o2b2o29b3o105b2obob o$183b2o4b2o29bo105b2o5bo$182bo6b2o27b2o106b2o4b2o$182bo2b5o22b2o4bo 109b4o$183b6o23b3o3bo$185b2o23bo4bo$210bo3bo$214bo164bo$209b2obobo163b obo$207b2o5bo75bo88b2o$207b2o4b2o74b2o$209b4o75bo$286b3ob2o$285b2obo3b o$284bob3o$283b2obobob2o80bo$284bob2obo82b2o$284bo86bobo2$283bo5bo$ 283bo4bo$282bo2bo$281bo$275bo3b2o$274b4o$273bo7bo$272b5o$272bobobo$ 271b5o4bo$251b2o17bo5bo2bo$249b2o2bo15b2obo2bo$249b3o20bo2bo$249bobo 21bo$245b4o2bo$245b3o3bo$247bob2o$246bo6bo$246b2o4bo$248b3o$244b2o$ 244b2o$244b2o$241b3o$235b2o4b3o$235b2ob2o$235b3obo$235bo4bo$232b3o2bo 2bo$232b2o3bo2bo$231bob4o$231bo7bo$232bo5bo36$315bo$315bobo$315b2o101$ 333b2o$332bo2bo$331b2o2bo$331bo2b3o$328b2obo2b3o$327b2o5b2o$334b2o$ 327b2ob5o$329b5o2$327bo$326b2o$326bo$324b2o$296b2o20bobo2b2o242bo$296b 2o19b2obo247b2o$295bo2bo18bo3bo245b2o$292b2obo2bo21b2o$298bo16b3o2b2o$ 290b2o3bo2bo15b2o4b2o$290b2o5bo15bo6b2o$291bob5o15bo2b5o$292bo21b6o$ 316b2o2$289b3o$289bo273b2o$287b2o273bobo$281b2o4bo276bo$281b3o3bo$279b o4bo$279bo3bo$283bo$278b2obobo$276b2o5bo$276b2o4b2o$278b4o12$335b2o10b 2o$334bo2bo9b2o11b3o$334bo12bo14bo$348b2o11bo$335b2o$337bo12bo$336b2o 9bo2bo$336b2o10b2o2$305b2o$303b2o2bo$303b3o$303bobo$299b4o2bo$299b3o3b o$301bob2o$300bo6bo$300b2o4bo$302b3o$298b2o$298b2o$298b2o$295b3o$289b 2o4b3o26bo$289b2ob2o28b2o$289b3obo29b2o$289bo4bo$286b3o2bo2bo$286b2o3b o2bo21b2o$285bob4o24bo2bo$285bo7bo20b2o2bo$286bo5bo21bo2b3o$311b2obo2b 3o$310b2o5b2o$317b2o$310b2ob5o$312b5o2$310bo$309b2o$309bo$307b2o$301bo bo2b2o$300b2obo$300bo3bo$303b2o$298b3o2b2o$297b2o4b2o$296bo6b2o$296bo 2b5o$297b6o$299b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 ZOOM 1 WIDTH 640 HEIGHT 1000 LOOP 5400 ]] #C [[ PAUSE 2 PAUSE 2 X -240 Y -440 ZOOM 4 ]] #C [[ T 417 X -350 Y -360 ]] #C [[ T 678 X -370 Y -320 ]] #C [[ T 852 X -390 Y -320 ZOOM 4 ]] #C [[ T 1252 X -330 Y -320 ]] #C [[ T 1497 X -280 Y -440 ZOOM 8 ]] #C [[ T 1686 X -280 Y -440 ]] #C [[ T 2250 X -690 Y -890 ZOOM 4 PAUSE 2 ]] #C [[ T 2637 X -630 Y -600 ]] #C [[ T 3042 X -680 Y -530 ]] #C [[ T 3552 X -680 Y -530 ]] #C [[ T 3871 X -760 Y -420 ]] #C [[ T 4078 X -720 Y -420 ]] #C [[ T 4530 X -610 Y -530 PAUSE 2 ]] #C [[ PAUSE 2 X -906 Y -906 ZOOM 1 ]] #C [[ T 5400 X -1080 Y -1080 ]]
Pattern type Rake
Puffer
Number of cells 3146
Bounding box 570 × 884
Direction Diagonal
Period 450
Speed c/5
Discovered by Matthias Merzenich
Year of discovery 2010

The c/5 diagonal rake is a variable-period rake that fires gliders as it moves diagonally at a speed of c/5. It is composed of copies of 58P5H1V1 that reflect and duplicate several circulating gliders.

The original version with a period of 1585 was constructed by Matthias Merzenich on September 7, 2010.[1] Subsequently it ranked third place in the Pattern of the Year 2010 competition on the ConwayLife.com forums, behind the phi calculator and Gemini.[2]

Later the period-450 version in the infobox was created by adjusting the period of the glider loop and inserting multiple circulating gliders to obtain a proper divisor thereof. The design has a minimum period of 235.[3] After emission, the output gliders enter some extra conduits ending with a 90-degree kickback; this is appropriate for inserting gliders into salvos, and was used in the second version of Paul Rendell's fully universal Turing machine to construct the stacks.

See also

References

  1. Matthias Merzenich (September 7, 2010). Re: Pattern of the Year 2010 competition (discussion thread) at the ConwayLife.com forums
  2. Adam P. Goucher (January 17, 2011). Re: Votes for Pattern of the Year 2010 (discussion thread) at the ConwayLife.com forums
  3. Matthias Merzenich (September 9, 2015). Re: Switchable gun? (discussion thread) at the ConwayLife.com forums