Odd traffic stop

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Odd traffic stop
x = 17, y = 17, rule = B3/S23 4b2o$5bo$5bobo$6b2o3bo$11bo$11bo$3b2o$3bo3b3o3b3o$2obo$o2b3o$b2o3bo$3b 4o6b2o$3bo9bo$bobob2o7b3o$b2o2bo10bo$5bobo$6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 24 GPS 4 ]]
Pattern type Constellation
Oscillator
Number of cells 53
Bounding box 17 × 17
Period 2
Mod 2
Heat 12.0
Volatility 0.20
Strict volatility 0.20
Discovered by Nico Brown
Year of discovery 2023

Odd traffic stop is a catalyst found by Nico Brown on May 31, 2023, which has been used to create oscillators of various periods.[1]

When certain objects hit the catalyst in the correct way, a blinker turns into a block, and the entire three quarters traffic light constellation turns into a group of cells that gets turned into a traffic light by one fishhook, and the other fishhook eats one of the four blinkers to return the pattern to the original three blinkers. An eater 3 (drifter-type variant shown in the infobox) consumes a block in the process.

It is used in the p41 pi-heptomino hassler.

Comparison with traffic stop

The odd traffic stop has a recovery time of 31 ticks, faster than the traffic stop's 36. Unlike the earlier traffic stop that it is named after, it only works at odd periods due to the phase-shifted blinkers. The two forms are not interchangeable ignoring even/odd constraints, even though it may look that way; the required reaction differs by one cell as shown below.

x = 35, y = 17, rule = B3/S23 4b2o$5bo$5bobo$6b2o$10b3o4b3o5b3o$17bo14b3o$3b2o3bo5bo2b3o3bo5bo2bo$3b o4bo5bo8bo5bo2b3o$2obo4bo5bo8bo5bo$o2b3o$b2o3bo$3b4o6b2o$3bo9bo14b2o$b obob2o7b3o11bo$b2o2bo10bo12b3o$5bobo23bo$6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 WIDTH 600 THUMBSIZE 2 ZOOM 14 GPS 8 AUTOSTART T 0 PAUSE 2 T 4 PAUSE 1 T 5 PAUSE 1 T 31 PAUSE 1 T 36 PAUSE 1 LOOP 50 ]]
Odd traffic stop on left; original traffic stop on right. The blinkers are aligned horizontally, but the pi-heptomino is not, showing that they are not interchangeable
(click above to open LifeViewer)

However, by shifting the eater 1 down by one cell, the odd traffic stop can still be used as an even traffic stop. This results in a P2 catalyst that can act both in an even and an odd way, though with a different interaction:

x = 45, y = 17, rule = B3/S23 4b2o23b2o$5bo24bo$5bobo22bobo$6b2o23b2o$10b3o4b3o15b3o$17bo24b3o$3b2o 3bo5bo2b3o8b2o3bo5bo2bo$3bo4bo5bo13bo4bo5bo2b3o$2obo4bo5bo10b2obo4bo5b o$o2b3o19bo2b3o$b2o3bo19b2o3bo$3b4o21b4o$3bo9b2o13bo9b2o$bobob2o6bo12b obob2o6bo$b2o2bo8b3o9b2o2bo8b3o$5bobo8bo13bobo8bo$6b2o23b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 WIDTH 800 THUMBSIZE 2 ZOOM 14 GPS 8 AUTOSTART T 0 PAUSE 2 T 42 PAUSE 2 LOOP 43 ]]
(click above to open LifeViewer)

Similar to how traffic stop dimerizes to form the oscillator 22P36, odd traffic stop dimerizes to form an 80-cell period-27 oscillator, as demonstrated below. This p27 traffic light hassler was originally discovered by Jason Summers, and in 2014 Matthias Merzenich noted the application of eater 3.[2]

x = 48, y = 18, rule = B3/S23 4b2o41bo$5bo14b2o23b3o$5bobo12bobo21bo$6b2o14bo2b2o17b2o$21b2obobo$20b o3bo9b3o$3b2o6bo9b2obo10bo$3bo6b3o8b2o2b2o15bo$2obo19b2o2bo13b3o$o2b2o 19bob2o$b2o2b2o8b3o6bo7b2o$3bob2o9bo6b2o8bo$3bo3bo22b3o$bobob2o23bo$b 2o2bo14b2o$5bobo12bobo$6b2o14bo$22b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 800 THUMBSIZE 2 ZOOM 14 ]]
80P27 (left) and 22P36 (right)
(click above to open LifeViewer)
RLE: here Plaintext: here

Derivative

The odd traffic stop can be connected to a transparent loaf to form a different catalyst. Without the odd traffic stop, the loaf would react with a two-cell surface and become an I-heptomino descendant; this reaction is slightly different from the loaf spin reaction in baker's dozen. An example can be seen in the second known p79 engine shown below.

x = 52, y = 41, rule = B3/S23 44b2o$44bobo$35bo10bo2b2o$35b3o7b2obobo$38bo9bo$14bo22b2o6b4o$14b3o28b o3b2o$17bo28b3o2bo$16b2o13b2o4bo5bo4bob2o$30bo2bo3bo5bo4bo$31bobo3bo5b o3b2o$32bo$39b3o$44b2o$18b3o23bobo$18bo2bo24bo$22bo23b2o$18bo2bo$18b3o $12bobo$13bo24bo$37bobo$31b3o$30bo2bo$4b2o23bo$5bo24bo2bo$5bobo23b3o$ 6b2o$10b3o$19bo$3b2o3bo5bo3bobo$3bo4bo5bo3bo2bo$2obo4bo5bo4b2o13b2o$o 2b3o28bo$b2o3bo28b3o$3b4o6b2o22bo$3bo9bo$bobob2o7b3o$b2o2bo10bo$5bobo$ 6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 10 ]]
The second known p79 engine, showing how loaf + odd traffic stop works.
(click above to open LifeViewer)
RLE: here Plaintext: here

See also

References

  1. Nico Brown (May 31, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. Matthias Merzenich (August 30, 2014). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums

External links