Other jacks

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The other jacks are a set of oscillators. Their name originated in a commit by David Raucci to the Catagolue census names list, that added patterns' common names but also referred to what is now the lightweight other jack as only "Jack" (that could be confused with Jack),[1] to which DroneBetter added the "other".[2] All notable variants are shown below, of the other jacks, jills (using an edge rotor variant), emulators and double-emulators.

x = 146, y = 172, rule = B3/S23 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#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 4 HEIGHT 660 ]]
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Below is a table of the oscillators' apgcode links and (where applicable) dates of first seminatural occurrences and glider construction costs. Currently, those that occurred first in soups searched by Charity Engine or the Open Science Grid are the same set as those found after 2022-02-01.

Type Featherweight Lightweight Middleweight Heavyweight Overweight Obese (with block) Leviathan (usually T-nosed p8)
Jack [1] [2] [3] [4] [5],antiphase
date unknown[3] unknown unknown 2022-02-17 2023-02-22
cost 29 28 36
Jill [6] [7] [8] [9] [10] [11],antiphase
date 2022-02-17[n 1] 2022-02-14 2022-02-15 2022-02-13 2025-08-21
cost
Emulator [12] [13] [14] T-nose
double blinkers
single blinkers
[15] [16],opposite
block pairs
date 2022-01-29 2022-02-14 2022-02-14
cost 15 15 18
Double-emulator [17] [18] [19] T-nose
double blinkers
single blinkers
[20] [21],antiphase
block pairs
date 2019-04-06 2019-05-18 2022-01-28 2022-12-06
2023-05-14
2022-05-06
2022-07-09 2022-11-01,
2023-04-12
cost

Other Jacks

For weight n (with featherweight at n=0), in their apgcodes' canonical phase, the three standard other Jacks are comprised of five polyominoes; four instances of an undecomino, and the central one with 10+6*n calls. They have 8 stator cells and 80+12*n rotor cells, of which 78+10*n are strictly volatile. The lightweight, middleweight and heavyweight having 2-digit-rounded volatilities of 0.92, 0.93 and 0.94 respectively, they each appear in the highest volatility period-4 oscillators.

One half can be supported by 'killer clocks,' in analogy with killer toads.

Jills

The jills contain the same central reaction as the other jacks, but mutually supported by partial instances of mold that require only a beehive instead of a loaf. Their sparks emitted correspond with those of other jacks with the central polyomino 2 rows thinner, so are arranged shifted two columns leftwards. For weight n, they have 24 stator cells and 82+10*n rotor cells, of which 68+8*n are strictly volatile.

Overweight stabilisations

Though 1-row-overweight other jacks and jills have no known stabilisations (though double and single blinkers can also stabilise standard overweight emulators, and T-nosed p4's mutually), the next two weights can be supported by blocks and T-nosed p8's respectively. The T-nosed p8 stabilisations of both appear in the highest volatility period-8 oscillators.

notes

  1. ↑ note that a variant supported by loaves occurred on 2017-11-27 (per [4]; the attribute page doesn't store the original discovery any longer)

References

  1. ↑ the commit in question, made by Adam P. Goucher on David Raucci's behalf,
  2. ↑ the commit
  3. ↑ its attribute page is empty, likewise for middleweight and heavyweight
  4. ↑ mniemiec (November 29, 2017). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums