Difference between revisions of "Traffic jam"

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|caption      = The p102 traffic jam. There are 25 signals in this oscillator;<br />it takes 25&times;102=2550 generations for a signal to get back to its original position.<br />If the loop is increased, twelve traffic lights at a time, to a length of 2850,<br />25 signals can produce a p114 oscillator if the signals are placed 114 generations apart instead of 102.<br />A p108 oscillator can't be created with these exact corners,<br />but an alternate corner mechanism allows allow for the correct total loop length.  
|caption      = The p102 traffic jam. There are 25 signals in this oscillator;<br />it takes 25&times;102=2550 generations for a signal to get back to its original position.<br />If the loop is increased, twelve traffic lights at a time, to a length of 2850,<br />25 signals can produce a p114 oscillator if the signals are placed 114 generations apart instead of 102.<br />A p108 oscillator can't be created with these exact corners,<br />but an alternate corner mechanism allows allow for the correct total loop length.  
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|caption      = The p104 traffic jam. There are 25 signals in this oscillator;<br />it takes 25&times;104=2600 generations for a signal to get back to its original position.<br />Similarly to the "2 mod 4" construction,<br />the loop can be lengthened by four traffic lights at a time.
|caption      = The p104 traffic jam. There are 25 signals in this oscillator;<br />it takes 25&times;104=2600 generations for a signal to get back to its original position.<br />Similarly to the "2 mod 4" construction,<br />the loop can be lengthened by four traffic lights at a time.
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Revision as of 19:02, 8 March 2024

Traffic jam
x = 16, y = 8, rule = B3/S23 2b3o$11b3o$o5bo$o5bo2bo5bo$o5bo2bo5bo$9bo5bo$2b3o$11b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
View static image
Pattern type Miscellaneous
Number of cells 24
Bounding box 16 × 8
Discovered by Unknown
Year of discovery Unknown

A traffic jam can either refer to any traffic light hassler (such as traffic circle), or the specific reaction shown to the right. In this reaction, two traffic lights interact in such a way as to reappear after 25 generations with an extra 6 spaces between them.

Traffic jam oscillators are infinitely extensible. Periods of 0 mod 4 and 2 mod 4 can be made in different ways as long as sparkers exist; these sparkers were p4 (mold, T-nosed p4, and heavyweight emulator), p5 (fumarole), and p6 (unix) in 1994, and p7 (p7 pipsquirter) got added in 1999. For the most part, the ones found in 1994 were the first known oscillators for those periods, except for a scattering of cases where an oscillator was already known with some other mechanism.

x = 313, y = 196, rule = B3/S23 36bo2bo$36bo$18b4o13bo4bo$17bo4bo11bobo2b2o$17bo3bobo8b2obo$18bo3bobo$ 24bo$24bo7bo2bo265b2o$21bo2bo9b2o264b4o$6b2o14b2o261bo13bo2bobo$6b2o 273b4obo11bobo2b2o$29bo251b3obobo9bobo$28b3o255bobo7b2o$5b3o279bo8b3o$ 5b2obo2b2o273b2o9bobo$7b2o2b2o273b2o10b2o$7b2o277b2o4b3o$15b3o$290bo5b o$13bo5bo270bo5bo$13bo5bo270bo5bo12b2o$13bo5bo7b3o21b3o10bo10b3o34bo 10b3o34bo10b3o34bo10b3o34bo52b2o$36b3o25bo34b3o10bo35bo11bo47bo47bo35b 3o$15b3o7bo5bo17bo5bo8bo8bo5bo4b3o11bo3bo9bo8bo5bo5bo13bobo10bo8bo5bo 20bo11bo8bo5bo11bo7b2o11bo10b3o40bo$10b2o13bo5bo2bo5bo8bo5bo17bo5bo3bo 3bo10bo3bo18bo5bo4bobo11bo3bo18bo5bo5bo12b2ob2o18bo5bo4bobo4bo7b3o63bo bo$9b4o12bo5bo2bo5bo8bo5bo4b3o3b3o4bo5bo3bo3bo10bo3bo5b3o3b3o4bo5bo3bo 3bo11bobo6b3o3b3o4bo5bo3b2ob2o12bo7b3o3b3o4bo5bo4b3o7bo4bobo6b3o3b3o4b o5bo6b3o2bobo18b2o2bo2bo$8bo2bobo20bo5bo42bo3bo11b3o30bobo13bo32bo47b 2o7bo26bo5bo6b7o7bo11b2obo$7bobo2b2o13b3o21b3o10bo10b3o6b3o25bo10b3o7b 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17bo4bo11b3o10bo21bo12b3o27bobo34b2o3bo$6bobo31bo47bo47bo21bo25bo11bo 3bo32bo16bo36b2o2bo$5b2o33bo47bo47bo47bo12bobo33bo15b2o38bo$5b3o225bo 15b2o38bo$6bobo15bo224b2o$7b2o14b3o203b3o3b3o$22b2ob2o$23b3o207bo$24bo 201b2o5bo$225bo2bo4bo4b2o$228bo7bo2bo48bo$228bo59bo$222bo3bobo59bo$ 221bo3bobo8b2obo$221bo4bo11bobo2b2o39b3o3b3o$222b4o13bo4bo$240bo47bo$ 240bo2bo44bo$288bo$23bo$22b3o$21b2ob2o$22b3o$23bo264b3o2$286bo5bo$24bo 261bo5bo$24bo261bo5bo$24bo$288b3o$b2o17b3o3b3o$b2o$24bo$bo22bo$obo21bo 263bo$o2bo2b2o280bo$4bob2o280bo$2b2o7bo273bo5bo$11bo272bob4obo$11bo8bo 263bo3bo15b2o$19b3o263b3o3bo12b2o$7b3o3b3o2bobobo266b3o12b2o$17b3ob3o 32bo23bo23bo23bo23bo23bo23bo23bo23bo56bo$11bo6bobobo9bo23bo23bo14bo8bo 23bo14bo8bo23bo14bo8bo23bo14bo8bo55bobo$11bo7b3o9b3o13bo8bo10b3o10bo 14bo8bo10b3o10bo14bo8bo10b3o10bo14bo8bo10b3o10bo14b2o4b4o10b3o10bo11b 3o12b3obobo$4bo2bo3bo8bo9bobobo11b3o46bo47bo3bobo41bo5bo47bo26bo11bo3b 3o8b4obo$4bo24b3ob3o9bobobo2b3o3b3o4bo5bo4b3o3b3o15b3o3b3o4bo5bo4b3o3b 3o13bo3bo3b3o4bo5bo4b3o3b3o12b2ob3o3b3o4bo5bo4b3o3b3o11b2o5bo2b3o4bo5b o8bo14bo3bo11bo$3bo4bo21bobobo9b3ob3o14bo5bo19b3o3b3o13bo5bo19b3o3bo3b o11bo5bo19b3o3b3ob2o10bo5bo19b3o2bo5b2o9bo5bo20bob4obo$2bobo2b2o22b3o 11bobobo6bo8bo5bo8bo23bo8bo5bo8bo17bobo3bo8bo5bo8bo17bo5bo8bo5bo8bo17b o14bo5bo4b3o3b3o7bo5bo4b3o$2obo28bo13b3o7bo23bo14bo8bo23bo14bo8bo23bo 14bo8bo23bo14b4o4b2o38bo$47bo8bo10b3o10bo14bo8bo10b3o10bo14bo8bo10b3o 10bo14bo8bo10b3o10bo14bo8bo10b3o10bo14bo5bo5bo$95bo47bo47bo47bo32bo14b o5bo5bo$o2bo268bo20bo5bo$2b2o$19bo275b3o4b2o$18b3o262bo17b4o$18b2obo 261bo16bobo2bo$20b2o3b2o256bo16b2o2bobo$13b2o6b2o2b2o278bobo$13b2o5bo 258b3o3b3o19b2o$13b2o291b3o$14bo9b3o256bo21bobo$13bobo8b2obo2b2o251bo 5b2o14b2o$8b3obobo11b2o2b2o245b2o4bo5b2o$8b4obo12b2o248bo2bo$12bo266bo 9bo$279bo8bobo$273bo3bobo8bo2bo2b2o$272bo3bobo13bob2o$272bo4bo12b2o$ 273b4o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 Z 1 WIDTH 800 HEIGHT 300 ]]
The p102 traffic jam. There are 25 signals in this oscillator;
it takes 25×102=2550 generations for a signal to get back to its original position.
If the loop is increased, twelve traffic lights at a time, to a length of 2850,
25 signals can produce a p114 oscillator if the signals are placed 114 generations apart instead of 102.
A p108 oscillator can't be created with these exact corners,
but an alternate corner mechanism allows allow for the correct total loop length.
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 351, y = 178, rule = B3/S23 21b2o4b2o4b2o$20bo2bobo4bobo2bo$20b3o10b3o$23b2o6b2o$22bo2b6o2bo9b2o$ 22b2o8b2o8bobo$7b2o7b2o22b3o278b2o10b2o$7bo2b2ob2o2bo21bo3bo276bo2bo8b o2bo$8b2obobob2o18b5o2b2o276b3o2b6o2b3o$9bo5bo18b3ob2o283b2o6b2o$9bob 3obo19b5o2b2o278bo10bo9b2o$10bo3bo14bo9bo3bo278b2obo4bob2o8bobo$28bobo 9b3o284b2o11b3o$10bo3bo27bobo294bo3bo$10bo3bo13b3o12b2o290bo3b5o$4b2o 323bo3b3o3b2o$3bobo5b3o315bo5bo3b5o$3bobob2o320bo9bo3bo$4bobobo6b3o 322b3o$6bo179bo138b3o3b3o8bobo$6b2o5bo5bo44bo47bo47bo31bo15bo47bo23bo 62b2o$6b3o4bo5bo16b3o25bo47bo47bo22bo5b4o15bo22b2ob2o4b2o14bo23bo8bo 39bo$6b3o4bo5bo7b3o21b3o10bo10b3o7bo26bo10b3o34bo10b3o16b2obo14bo10b3o 13bo3bo2bo13bo10b3o10bo8bo14bo24bo$6b3o25bo5bo43bobo13bo32b2o7bo38b3o 5bo5b2o35bo2bo3bobo41bo5bo14bo24bo18b2o$6b3o6b3o7bo5bo2bo5bo8bo5bo4b3o 3b3o4bo5bo3bo3bo11bobo6b3o3b3o4bo5bo4b3o7bo4bobo6b3o3b3o4bo5bo5bobob4o b2obob2o7b3o3b3o4bo5bo4b3ob2o5bobo10b3o3b3o4bo5bo4b3o3b3ob2o16bo10b3o 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3o3bo12bo116bo3bo9bo14bo3bo$50b3o6bo5bo29bo10b3o19bo5bo4b3o3b3o4bo5bo 19b3o10bo116b5o3bo5bo13bo5bo$50b3o6bo5bo29bo23bo5b4o5bo34b3o139b2o3b3o 3bo13bobobobo$50b3o20b3o6b3o10bo8bo5bo8bo5b4o5bo8bo10b3o151b5o3bo18b2o bobob2o$50b3o8b3o8bo3bo27bo5bo8bo5bo17bo164bo3bo21bo2b2ob2o2bo$51b2o 19bo3bo3bo5bo4b3o3b3o4bo5bo19b3o10bo165b3o11b2o9b2o7b2o$52bo19bo3bo3bo 5bo34b3o183bobo8b2obo4bob2o$50bobobo18b3o4bo5bo8bo10b3o198b2o9bo10bo$ 49bobob2o40bo223b2o6b2o$49bobo30b3o10bo220b3o2b6o2b3o$50b2o18bo245bo2b o8bo2bo$70bo246b2o10b2o$70bo$55b2o$55bobo8b3o3b3o$57b3o$56bo3bo9bo$56b 2o2b5o5bo$60b2ob3o4bo$56b2o2b5o$56bo3bo$57b3o$55bobo8b2o8b2o$55b2o9bo 2b6o2bo$67b2o6b2o$64b3o10b3o$64bo2bobo4bobo2bo$65b2o4b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 Z 1 WIDTH 800 HEIGHT 300 ]]
The p104 traffic jam. There are 25 signals in this oscillator;
it takes 25×104=2600 generations for a signal to get back to its original position.
Similarly to the "2 mod 4" construction,
the loop can be lengthened by four traffic lights at a time.
(click above to open LifeViewer)
RLE: here Plaintext: here

See also

External links

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