Traffic jam

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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 ]]
Pattern type Miscellaneous
Number of cells 24
Bounding box 16 × 8
Static symmetry C2_4
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; in 1994 the known usable sparkers were p4 (mold, T-nosed p4, and heavyweight emulator), p5 (fumarole), and p6 (unix). A period-7 option was added in 1999 as soon as the p7 pipsquirter was discovered. Traffic-jam oscillators provided the first examples of oscillators at periods 102, 104, 110, 112, 126, 140, and 148.

Details

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An example of a p102 traffic jam using period-6 corners
(click above to open LifeViewer)
RLE: here Plaintext: here

There are 25 signals in the above p102 traffic-jam oscillator. It takes 25×102=2550 generations for a signal to get back to its original position

The loop can be increased in 50-tick steps by adding pairs of traffic lights, but it's necessary to add traffic lights in sets of six to reach another loop period compatible with the period-6 corners. If the loop is increased to a length of 2700, 25 signals can produce a p108 oscillator if the signals are placed 108 generations apart instead of 102.

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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 2 WIDTH 800 HEIGHT 400 ]]
An example of a p104 traffic jam using period-4 corners
(click above to open LifeViewer)
RLE: here Plaintext: here

There are 25 signals in the above p104 traffic-jam 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 adding pairs of traffic lights, but it's necessary to add sets of four traffic lights to maintain a loop length that's compatible with the period-4 corners.

Notice that the line along the bottom edge of this oscillator is slightly oblique, not horizontal. For each pair of traffic lights there is a free choice of two possible relative positions, offset by one cell in one direction or the other. This allows traffic-jam wires to be bent slightly around obstructions, or to be adjusted to make connections as needed.

Corner speed and period

Another option for adjusting the size of the loop by 50 ticks is to replace a "slow" corner with a "fast" corner, or vice versa. Corners can be arranged to send a new traffic-jam reaction off at 90 degrees immediately, then cycle around the other 270 degrees to complete the reset. Or, for the slower option, they can send the reaction around 270 degrees and ignite the perpendicular reaction 50 ticks later than the fast method. This is illustrated by the pattern below.

x = 260, y = 218, rule = B3/S23 227bo2bo2bo$224bo2b7o$224b3o$228b2obo$226b3obobo$217b2o6bo3bo2bo$218bo 5bob2ob2ob2o$217bo6bobo3bobo$217b4o2b2o2b4obo$215b2o4bo3bobobo2bobo$ 211b2obo3b3o4bobo3bob2o$211b2obobobo5b2obo3bo$214b4o8bob2obo$211b3o12b o2b3ob2o$210bo2bo11b2obo3bobo$210bob2o11bo2b4o$206bob2o3bo4bo8bo$206b 2obob2o5bo6bo2b4o$209bobo6bo6b2obo2bo$17b2o10b2o178bobo14bo$16bo2bo8bo 2bo178bo3b3o3b3o3bobo$16b3o2b6o2b3o195b2o$19b2o6b2o189bo$7b2o9bo10bo 188bo$7bobo8b2obo4bob2o188bo$9b3o11b2o$8bo3bo$8b5o3bo$11b2o3b3o3bo$8b 5o3bo5bo195b3o$8bo3bo9bo222b2o2b2o$9b3o204bo5bo23bo2bo3bo4b2o$7bobo8b 3o3b3o189bo5bo22bo4b6o2bo$7b2o207bo5bo18b2obob4o6bobo$22bo219bobobo3bo 2b2obob2o$22bo195b3o21bobo3b4obo4bo$2b2o18bo26b3o10bo10b3o10bo10b3o10b o10b3o10bo10b3o10bo10b3o10bo10b3o10bo31b2ob2obobo4bobob2obo$bobo30b3o 25bo23bo23bo23bo23bo23bo23bo31bo4bo4b4obobo2b2o$bobob2o18b3o19bo5bo8bo 8bo5bo8bo8bo5bo8bo8bo5bo8bo8bo5bo8bo8bo5bo8bo8bo5bo8bo32b3o3b3o4b2obob 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A period-2100 loop with corners of different speeds and periods
(click above to open LifeViewer)

In order, the traffic-jam reaction passes through pairs of p4 corners, p5 corners, p6 corners, and p7 corners, and then returns to its starting point in 2100 ticks. Most of the pairs of corners consist of a slow corner followed by a fast corner. The two p6 corners are "fast" followed by "slow"; parity constraints prevent the completion of a p2100 loop if the fast corner follows the slow corner for all four pairs.

Stable support

On November 1, 2024, Period1GliderGun found a 25-tick 3-cell traffic light push that releases a glider, used to reduce the period-36 glider gun as 25+11. The next day, iNoMed found that a loaf spin can be used instead of a period-specific sparker. This means that periodic support is no longer needed for either the slow or fast traffic-jam corners, which significantly simplifies the construction of traffic-jam-based circuitry.

x = 159, y = 99, rule = B3/S23 69b2o$69bo$67bobo$39b2o26b2o41b2o$38bo2bo67bo2bo$38b3o69b3o2$36b3o73b 3o$35bo2bo50b2o21bo2bo$35b2o53bo23b2o$90bobo$38b2o16bo34b2o18b2o$38b2o 4bo5b2o5bo41b2o5bo4b2o$44bo5b2o6bo40b2o5bo$36bo7bo10bobo48bo7bo$35bobo 18bo3b2o51bobo$34bo2bo2b3o3b3o9bo4bo38b3o3b3o2bo2bo$35b2o21bo4bo50b2o 9bo$27b2o15bo13bo4bo42bo17bobo$27bobob2o11bo14bo2bo43bo11b2obo2bobo$ 29bob2o3b2o6bo12bobo2bobo41bo6b2o3b2ob4ob2o$28bo7b2o19b2o4b2o48b2o$15b 2o11b2ob2o85b2ob4ob2o$15bo2b2o9bobo87bobo2bob2o$16b2ob3o7bobo87bobo$ 22bo7bo13b3o57b3o13bo9bo$16b2ob3o107bobo5b2o$16b2obo22bo5bo53bo5bo16b 2o2bo2bo4bobo$42bo5bo53bo5bo16b2o3b2o7bo$13bo28bo5bo53bo5bo25b2o2b2ob 2o$5b2o5bobo119b2o5bobo$4bobo4bo2bo2b2o25b3o57b3o34bobo$4bo7b2o3b2o99b o10b3o10bo$b2ob2o2b2o39bo68bo$obo5b2o39bo68bo8bo5bo$obo10bo35bo10b3o 10bo53bo5bo$bo11bo8bo50bo40b3o3b3o4bo5bo$13bo8bo14bo7b3o3b3o4bo5bo8bo 10b3o10bo10b3o$16bobo3bo14bo20bo5bo32bo20bo10b3o$9b3o3bo3bo17bo11bo8bo 5bo4b3o3b3o4bo5bo8bo8bo5bo5bo$16bo3bo3b3o22bo32bo5bo17bo5bo5bo$13bo3bo bo13b3o3b3o7bo10b3o10bo8bo5bo4b3o3b3o4bo5bo20b2o$13bo8bo50bo59b2o$13bo 8bo14bo35bo10b3o10bo10b3o$22bo14bo59bo$9b2o26bo59bo55bo$9b2o140b3o$ 150bo$50bo57bo41b2o$20bo29bo57bo26b2o$20b3o27bo57bo26bo$23bo112b3o$22b 2o22b3o3b3o49b3o3b3o25bo$7b2o$8bo41bo57bo$5b3o41bobo56bo39b2o$5bo42bo 59bo39b2o$51bo8b3o10bo46b3o10bo$48bobo22bo59bo$24b2o23bo8bo5bo8bo10b3o 10bo20bo5bo8bo10b3o$24b2o32bo5bo32bo20bo5bo$45b3o3b3o4bo5bo4b3o3b3o4bo 5bo8bo10b3o7bo5bo4b3o3b3o4bo5bo$28bo10b3o40bo5bo53bo5bo$28bo20bo10b3o 10bo8bo5bo4b3o3b3o4bo5bo7b3o10bo8bo5bo$28bo8bo5bo5bo23bo32bo5bo20bo$ 37bo5bo5bo23bo10b3o10bo8bo5bo20bo10b3o10bo$24b3o3b3o4bo5bo53bo58bobo$ 97bo10b3o38b2o5bobo$28bo10b3o107b2o2b2ob2o$16bo11bo24bo59bo26b2o3b2o7b o$15bobo10bo24bo59bo26b2o2bo2bo4bobo$15bobo5b2o28bo59bo30bobo5b2o$16b 2ob2o2b2o120bo$19bo7b2o3b2o15b3o3b3o51b3o3b3o$19bobo4bo2bo2b2o105bob2o $20b2o5bobo23bo59bo23b3ob2o$28bo9bo14bo59bo14bo7bo$37bobo13bo59bo13bob o7b3ob2o$31b2obo2bobo87bobo9b2o2bo$31b2ob4ob2o85b2ob2o11b2o$44b2o75b2o 7bo$31b2ob4ob2o3b2o75b2o3b2obo$32bobo2bob2o10b3o59b3o10b2obobo$32bobo 95b2o$33bo9b2o4bo5bo55bo5bo4b2o$42bo2bo3bo5bo55bo5bo3bo2bo$43bobo3bo5b o55bo5bo3bobo$44bo77bo$51b3o4b2o47b2o4b3o$46b2o10b2o47b2o10b2o$46b2o 18b2o31b2o18b2o$66bobo29bobo$43b2o23bo29bo23b2o$43bo2bo21b2o27b2o21bo 2bo$44b3o73b3o2$46b3o69b3o$46bo2bo67bo2bo$47b2o69b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 THUMBSIZE 2 Z 4 WIDTH 800 HEIGHT 400 ]]
An example period-550 capped glider gun showing how a traffic jam can work with stable supports and how a glider can be released using a sparker. Stable options are also known for extracting gliders and inserting new traffic jams into a wire.[1][2]
(click above to open LifeViewer)
x = 379, y = 222, rule = B3/S23 338b2o$337bo2bo$338b3o2$340b3o$317b2o21bo2bo$27b2o289bo23b2o$26bo2bo 288bobo$26b3o290b2o18b2o$327b2o5bo4b2o$24b3o300b2o5bo$23bo2bo21b2o284b o7bo$23b2o23bo292bobo$46bobo281b3o3b3o2bo2bo$26b2o18b2o294b2o9bo$26b2o 4b2o4b2o294bo17bobo$31b2o5b2o293bobo10b2obo2bobo$24bo6b3o298bo8b2o3b2o b4ob2o$23bobo309bo5b2o$22bo2bo306bobo11b2ob4ob2o$23b2o308bo13bobo2bob 2o$347bobo$17bob2o12b2o294b3o3b3o10bo9bo$15b3ob2o3b2o331bobo5b2o$14bo 9b2o307bo19b2o2bo2bo4bobo$15b3ob2o10b2o300bo19b2o3b2o7bo$17bobo313bo 32b2ob2o$17bobo342b2o5bobo$16b2ob3o341bo5bobo$22bo323bo13bo2bo6bo$16b 2ob3o10b3o311bo14b3o$16b2obo13b2o311bo16bo$32b2o323b3o3b3o$13bo80bo 239bo7b3o3b3o$5b2o5bobo79bo239bo26bo$4bobo4bo2bo2b2o27bo34b3o10bo34b3o 10bo10b3o21b3o10bo10b3o13b2o4b2o13bo10b3o23bo10bo10b3o34bo11bo14bo$4bo 7b2o3b2o27bo58b3o34bo25b3o19bo25bo2bo2b2ob3o10bo32bo4bo9bo38bo20bo13bo $b2ob2o2b2o36bo11b2o7bo11bo5bo4b3o3b3o5bo3bo11b3o4bo5bo8bo8bo5bo23bo8b 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o$36b2o257bo5bo3bobo$23b2ob4ob2o3b2o268bo$24bobo2bob2o10b3o245b2o4b3o$ 24bobo264b2o10b2o$25bo9b2o4bo5bo235b2o18b2o$34bo2bo3bo5bo234bobo$35bob o3bo5bo234bo23b2o$36bo244b2o21bo2bo$43b3o4b2o252b3o$38b2o10b2o$38b2o 18b2o242b3o$58bobo240bo2bo$35b2o23bo241b2o$35bo2bo21b2o$36b3o2$38b3o$ 38bo2bo$39b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 25 THUMBSIZE 2 Z 2 WIDTH 800 HEIGHT 500 ]]
This period-106 traffic-jam oscillator is an example of a period that was not easily buildable without stable corners.[3]
(click above to open LifeViewer)

See also

References

  1. ↑ Dave Greene (April 4, 2019). Re: Stable signal converters (discussion thread) at the ConwayLife.com forums
  2. ↑ qqd (November 3, 2025). Re: Stable signal converters (discussion thread) at the ConwayLife.com forums
  3. ↑ Dave Greene (November 2, 2024). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums