55P10

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55P10
x = 21, y = 9, rule = B3/S23 3b2o11b2o$b3ob2ob2ob2ob2ob3o$o8bobo8bo$b5obobobobob5o$6b2obobob2o$3b2o 5bo5b2o$3bo13bo$4bo11bo$3b2o11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 400 THUMBSIZE 3 ZOOM 24 Y -1 GPS 3 LOOP 10 ]]
Pattern type Oscillator
Number of cells 55
Bounding box 21 × 12
Period 10 (mod: 10)
Heat 12
Volatility 0.49 | 0.49
Kinetic symmetry -c
Discovered by Bullet51
Year of discovery 2018

55P10 is a period-10 sparker that was found on December 27, 2018 by Bullet51. The version shown in the infobox is a stator reduction found by Matthias Merzenich three days later. A skewed variant can be made by moving the right side down two cells and extending the left side of the gutter by two cells.[note 1][2]

A 120-glider synthesis of this oscillator was found by Tanner Jacobi on January 1, 2020.[3]

x = 23, y = 10, rule = B3/S23 7bo7bo$5bo3bo3bo3bo2$b2obo5bobo5bob2o$bob2ob2o2bobo2b2ob2obo$6bo3bobo 3bo$2b2ob2obobobobob2ob2o$2bo3bob2o3b2obo3bo$obo3bo9bo3bobo$2o3b2o9b2o 3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 3 AUTOSTART ]]
Two rows shorter at the expense of larger population and one additional column on each side
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RLE: here Plaintext: here
Catagoluehere

The monomer edge is four cells long for seven consecutive generations and five for the other three. Since 55P10 was discovered, a monomer was wanted. On September 21, 2023, a different p10 with the same "seven and three" edge was found by Nora Brown, which galoomba found could monomerise 55P10, although not in a useful way.

x = 22, y = 19, rule = B3/S23 5bo$4bobo$4bobo$ob2obob2obo$2obobobob2o$5b2o$4bo$4bo3bo6bo$9bo3bo3bo$ 8b2o$8bobobo5bo$5b2o2b2obo2b2ob3o$4bobo5bo3bo4bo$4bo7bobob5o$3b2o6b2ob 2o$17b2o$18bo$17bo$17b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 16 GPS 3 AUTOSTART ]]
Monomer
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Catagoluehere

In other rules

In the isotropic rule B3/S234z, 55P10 is rephased to become 57P9, though it can be stabilized as shown below to still have 55 cells by replacing snakes with the stable z-pentomino. Despite this, it remains a versatile sparker.[4]

x = 21, y = 8, rule = B3/S234z 3b2o11b2o$b3ob2ob2ob2ob2ob3o$o4bo3bobo3bo4bo$b5obobobobob5o$6b2obobob 2o$3b2o5bo5b2o$3bo13bo$2b2o13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 3 AUTOSTART ZOOM 18 ]]
55P9 [5]
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Catagoluehere


Notes

  1. As an example of its use, the 2019 reductions to the p50, p100, and p200 glider guns by Tanner Jacobi all used this version[1]. Currently, the smallest versions of those glider guns rely on period-multiplied versions of the p25 glider gun.

References

  1. Tanner Jacobi (March 22, 2019). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  2. Matthias Merzenich (December 30, 2018). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. Tanner Jacobi (January 1, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. WhiteHawk (July 15, 2024). Re: B3/S234z (ZLife) (discussion thread) at the ConwayLife.com forums
  5. WhiteHawk (October 16, 2024). Re: B3/S234z (ZLife) (discussion thread) at the ConwayLife.com forums