p42 glider shuttle

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p42 glider shuttle
x = 32, y = 32, rule = B3/S23 22b2o$21bo2bo$10bo13bo$9bobo12bo$10bo7bo3bobo$17bo3bobo$8b5o4bo4bo$7bo 4bo5b4o4b2o$6bob2o16b2o2b2o$3bo2bobo15b2obo2b2o$2bobobo9bo7b3o$3bo2bo 4b3o3b2o$6b2o3b2o3b2o$11bo13b2o$25b2o2$10bobo$5b2o4b2o$4bo2bo3bo7b2o$ 7bo10bo2bo2b2o$7bo10bobo4bo2bo$bo3bobo11bo5bobobo$o3bobo15b2obo2bo$o4b o16bo2bo$b4o4b2o8bo4bo$9b2o2b2o4b5o$7b2obo2b2o$7b3o11bo$20bobo$21bo$8b 2o$8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 6 ZOOM 8 LOOP 42 ]]
Pattern type Oscillator
Oscillator type Relay
Number of cells 143
Bounding box 32 × 32
Period 42 (mod: 21)
Heat 56.1
Volatility 0.75 | 0.33
Kinetic symmetry /xk
Discovered by Noam Elkies
Year of discovery 1994

The p42 glider shuttle is a period-42 shuttle oscillator discovered by Noam Elkies in 1994. It was the first non-trivial period 42 oscillator to be discovered[1][note 1] and is based on a period 66 oscillator discovered by Robert Wainwright in September 1984. It consists of two copies of eater 3 and four copies of unix to shuttle two gliders back and forth. By increasing the distance between the two reflectors, oscillators of periods 42 + 24n can be created. Dean Hickerson found that the distance between the reflectors could be decreased using a custom period 6 oscillator to create a period 18 glider shuttle. In April 1992 Hickerson created another related oscillator by crossing two pairs of gliders using rephasers, which allowed the construction of oscillators of periods 246 + 24n.

Gallery

x = 55, y = 55, rule = b3/s23 31bo23b$30bobo22b$30bobo22b$29b2ob2o21b$29bo5bo19b$30bobob4o17b$25bo2b obobo5bo16b$25b4obo2b2o2b2o16b$30b2o3bo19b$24bob2obo5bob2o16b$24b2obob 3obob2obo16b$33b2o20b$28b4o4b2o17b$27bo2bob2obo2bo16b$27b2o4bo3b2o16b$ 23bo9bo21b$22bobo5b2o8b2o2b2ob2o6b$23bo6b3o7bobo2bobobo5b$33b3o6bobo4b o5b$21b5o4b2o8bobob3o2b2o4b$20bo4bo6bobo5bo2bo3bobo5b$19bob2o10bo3b2o 2bo3bobo3bo3b$16bo2bobo11b2ob3ob2o3bobobob3ob$15bobobo9bo6b3obobobo9bo $9b2o5bo2bo4b3o3b2o10bobob4ob3ob$6b2o2bo8b2o3b2o3b2o11bob2o4b2o3b$7bob o14bo15bobo4b2o6b$7bob2o2b2o25b2o2b2obo7b$6b2o4bobo14b2o14bobo7b$3b2o 4b2obo10bobo2bo2bo2b2o8bo2b2o6b$b3ob4obob2o2b2obo4b2o2bobo4bo2bo5b2o9b $o7bobobo3b2obo4bo4bo5bobobo15b$b3ob2o6bo3bo2bo11b2obo2bo16b$3bo3bo2b 2ob3o2bo2b2o9bo2bo19b$5bobo3bo6bobobo6bo4bo20b$4b2o2b3o2bo4bo10b5o21b$ 5bo4bobo9b2o31b$5bobobo2bobo6b3o7bo23b$6b2ob2o2b2o6b3o6bobo22b$31bo23b $16b2ob2ob2o2b2o27b$16bo4b2o4bo27b$17b3o3b4o28b$20bo34b$16bob2o3b3obob 2o24b$16b2obob2o2bob2obo24b$19bo4bo30b$16b2o2b3obob4o25b$16bo7bobo2bo 25b$17b4obobo30b$19bo5bo29b$21b2ob2o29b$22bobo30b$22bobo30b$23bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 6 ZOOM 8 AUTOSTART HEIGHT 500 ]]
A p18 glider shuttle using a custom period 6 oscillator by Dean Hickerson
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere
x = 60, y = 50, rule = b3/s23 10bo11b4o8b4o11bo10b$9bobo9bo4bo6bo4bo9bobo9b$10bo9bobo3bo6bo3bobo9bo 10b$19bobo3bo8bo3bobo19b$8b5o6bo20bo6b5o8b$7bo4bo6bo20bo6bo4bo7b$6bob 2o9bo2bo14bo2bo9b2obo6b$3bo2bobo11b2o16b2o11bobo2bo3b$2bobobo9bo26bo9b obobo2b$3bo2bo4b3o3b2o22b2o3b3o4bo2bo3b$6b2o3b2o3b2o24b2o3b2o3b2o6b$ 11bo36bo11b2$29b2o29b$10bobo16b2o16bobo10b$5b2o4b2o34b2o4b2o5b$4bo2bo 3bo36bo3bo2bo4b$7bo44bo7b$7bo44bo7b$bo3bobo44bobo3bob$o3bobo46bobo3bo$ o4bo48bo4bo$b4o50b4ob2$29b2o29b$29b2o29b2$4b2o48b2o4b$2o2b2o48b2o2b2o$ 2o2bob2o44b2obo2b2o$5b3o44b3o5b3$5b2o46b2o5b$5b2o46b2o5b$29b2o29b$29b 2o29b2$11b2o34b2o11b$6b2o2bo2bo32bo2bo2b2o6b$3bo2bo4bobo32bobo4bo2bo3b $2bobobo5bo34bo5bobobo2b$3bo2bob2o10b2o16b2o10b2obo2bo3b$6bo2bo10b2o 16b2o10bo2bo6b$7bo4bo34bo4bo7b$8b5o34b5o8b$19b3o16b3o19b$10bo8b2obo2b 2o6b2o2bob2o8bo10b$9bobo9b2o2b2o6b2o2b2o9bobo9b$10bo10b2o14b2o10bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 6 ZOOM 8 AUTOSTART HEIGHT 500 ]]
A related p246 oscillator discovered by Dean Hickerson
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere

See also

Notes

  1. A nontrivial period-42 oscillator, such as unix on 44P7.2, could have been constructed from two oscillators of lower period (such as p6 and p7), both of which were known by an earlier date. However, no such LCM oscillators were attested prior to the discovery of this oscillator in 1994.

References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on July 8, 2010.

External links