P58 toadsucker: Difference between revisions

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Line 10: Line 10:
|v            = 0.91
|v            = 0.91
|sv          = 0.01
|sv          = 0.01
|symmetry    = n
|discoverer  = Bill Gosper
|discoverer  = Bill Gosper
|discoverer2  = Mark Niemiec
|discoveryear = 1994
|discoveryear = 1994
|rulemin      = B3/S23
|rulemin      = B3/S23
Line 17: Line 19:
|isorulemin  = B3-k/S23-ck
|isorulemin  = B3-k/S23-ck
|isorulemax  = B34q5cjkn6ae/S234cqy5r6i
|isorulemax  = B34q5cjkn6ae/S234cqy5r6i
|life105      = true
|life106      = true
|plaintext    = true
|plaintext    = true
|rle          = true
|rle          = true
|animated    = true
|animated    = true
|apgcode      = xp58_y8ca23ys32acz252y24eexccyqccxee4y2252zg8gy28ssy366xg0s4y44s0gx66y3ss8y2g8gz01y76e6x6e6w11wggy0ggw11w6e6x6e6y71zyo331w133zy8252g8gw252g8gy14cc8y2252g8gw252g8gzyc1y31y2ggy0ggy21y31zycosoxosoy2331w133y2osoxosozx252y24eey3oox31e8y48e13xooy3ee4y2252zxg8gy28ssxccyqccxss8y2g8gzy01y6ckggysggkcy61zye1ys1
|apgcode      = xp58_y8ca23ys32acz252y24eexccyqccxee4y2252zg8gy28ssy366xg0s4y44s0gx66y3ss8y2g8gz01y76e6x6e6w11wggy0ggw11w6e6x6e6y71zyo331w133zy8252g8gw252g8gy14cc8y2252g8gw252g8gzyc1y31y2ggy0ggy21y31zycosoxosoy2331w133y2osoxosozx252y24eey3oox31e8y48e13xooy3ee4y2252zxg8gy28ssxccyqccxss8y2g8gzy01y6ckggysggkcy61zye1ys1
|viewerconfig = #C [[ GPS 8 ZOOM 5 LOOP 58 ]]
}}
}}
'''P58 toadsucker''' is a [[period]] [[:Category:oscillators with period 58|58]] [[toad#toadsucker|toadsucker]] [[oscillator]] found by [[Bill Gosper]] in [[:Category:patterns found in 1994|1994]], being the first period 58 oscillator to be found. It is based on a period [[:Category:oscillators with period 29|29]] [[polyomino#domino|domino]] [[spark]]er that changes the phase of a [[pentadecathlon]], and works by shifting a [[toad]] back and forth every 58 [[generation]]s. This was the only known way to create period 58 oscillators until the discovery of [[Herschel loop]]s and an [[eater]] that allowed sufficient compression. In terms of its [[:Category:patterns with 258 cells|258]] [[cell]]s it was the smallest known period 58 oscillator before discovery of the [[Snark]] and p29 bouncer. P58 toad flippers are also possible, also at 258 cells as shown below:
'''P58 toadsucker''' is a {{period|58}} [[toad#toadsucker|toadsucker]] [[oscillator]] found by [[Bill Gosper]] and [[Mark Niemiec]] on October 25, {{year|1994}},<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> being the first period 58 oscillator to be found. It is based on [[p29 pentadecathlon hassler]], a period-{{period|29|brief}} [[domino]] [[spark]]er that changes the phase of a [[pentadecathlon]], and works by shifting a [[toad]] back and forth every 58 [[generation]]s. This was the only known way to create period-58 oscillators until the discovery of [[Herschel loop]]s and [[FNG]] [[eater]] that allowed sufficient compression. In terms of its {{cells|258}} [[cell]]s it was the smallest known period-58 oscillator before discovery of the [[Snark]] and p29 bouncer. p58 toad flippers are also possible, also at 258 cells as shown below:


{{EmbedViewer
{{EmbedViewer
|position    = center
|position    = center
|pname        = P58toadflipper
|pname        = p58toadflipper
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 ZOOM 6 WIDTH 600 HEIGHT 480 GPS 29 LOOP 58 ]]
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 ZOOM 6 WIDTH 600 HEIGHT 480 GPS 7.25 LOOP 58 ]]
|apgcode      = xp58_y8ca23ys32acz252y24eexccyqccxee4y2252zg8gy28ssy3ooy1ggy4ggy1ooy3ss8y2g8gz01y76e6xooow643y6346wooox6e6y71zyg1y3ee4w4eey31zy8252y0ccy4gggy7ccy0252zy88k8y066y5111y666y08k8zyggy3ee4w4eey3gz0gy7cecx333wc4oy6o4cw333xcecy7gz121y2277y333y111y411y133y3772y2121z8k8y24eex66yq66xee4y28k8zy86a8oyso8a6
}}
}}


==See also==
== See also ==
*[[P36 toad hassler]]
* [[p36 toad hassler]]
*[[P48 toad hassler]]
* [[p48 toad hassler]]
*[[Pre-pulsar shuttle 29]]
* [[p29 pre-pulsar shuttle]]


==External links==
== References ==
{{LinkCatagolue|xp58_y8ca23ys32acz252y24eexccyqccxee4y2252zg8gy28ssy366xg0s4y44s0gx66y3ss8y2g8gz01y76e6x6e6w11wggy0ggw11w6e6x6e6y71zyo331w133zy8252g8gw252g8gy14cc8y2252g8gw252g8gzyc1y31y2ggy0ggy21y31zycosoxosoy2331w133y2osoxosozx252y24eey3oox31e8y48e13xooy3ee4y2252zxg8gy28ssxccyqccxss8y2g8gzy01y6ckggysggkcy61zye1ys1|format=extended}}
<references />
 
== External links ==
[[Adam P. Goucher]]'s [[Catagolue]]:
* Standard mutually-stabilising double-[[p29 pentadecathlon hassler]] variants:
** {{LinkCatagolue|xp58_y8ca23ys32acz252y24eexccyqccxee4y2252zg8gy28ssy366xg0s4y44s0gx66y3ss8y2g8gz01y76e6x6e6w11wggy0ggw11w6e6x6e6y71zyo331w133zy8252g8gw252g8gy14cc8y2252g8gw252g8gzyc1y31y2ggy0ggy21y31zycosoxosoy2331w133y2osoxosozx252y24eey3oox31e8y48e13xooy3ee4y2252zxg8gy28ssxccyqccxss8y2g8gzy01y6ckggysggkcy61zye1ys1|style=raw|patternname=p58 toadsucker}} (67*56, 258 cells)
** {{LinkCatagolue|xp58_y8ca23ys32acz252y24eexccyqccxee4y2252zg8gy28ssy3ooy1ggy4ggy1ooy3ss8y2g8gz01y76e6xooow643y6346wooox6e6y71zyg1y3ee4w4eey31zy8252y0ccy4gggy7ccy0252zy88k8y066y5111y666y08k8zyggy3ee4w4eey3gz0gy7cecx333wc4oy6o4cw333xcecy7gz121y2277y333y111y411y133y3772y2121z8k8y24eex66yq66xee4y28k8zy86a8oyso8a6|style=raw|patternname=p58 toad flipper}} (64*60, 258 cells)
* [[Eater 4]] variants:
** {{LinkCatagolue|xp58_y2g8o6pb8oyqo8bp6o8gz0ggcaa9o74y233xoge2y42egox33y247o9aacggz320f9y1373x373y2oogwgooy2373x373y19f023zy6gy3gy211y011y2gy3gzy51218k8w1218k8y12664y21218k8w1218k8zyooogwgoozxckgf9wgwcecxcecwggw11y011wggwcecxcecwgw9fgkczy2355p1u2gwgwccx1074y44701xccwgwg2u1p553zy61169d11yq11d9611|style=raw|patternname=p58 toadsucker}} (61*44, 310 cells)
** {{LinkCatagolue|xp58_y2g8o6pb8oygo8bp6o8gz0ggcaa9o74y6gy2gy647o9aacggz320f9y1772y2121y0121y2277y19f023zy366xee4y266w66y24eex66zy4o8a6yk6a8ozyb373y1esy1373zy4oggy0676y8676y0ggozy623ggyggg32zxggw33x331y233w33y2133x33wggz6a8nkggow772y24a4y04a4y2277woggkn8a6zx122cgv1oggoygoggo1vgc221zy5346yk643|style=raw|patternname=p58 toad flipper}} (58*48, 310 cells)


{{DISPLAYTITLE:p58 toadsucker}}
{{DISPLAYTITLE:p58 toadsucker}}

Latest revision as of 21:04, 7 August 2024

p58 toadsucker
x = 67, y = 56, rule = B3/S23 15bo32bo$13b3o32b3o$12bo38bo$12b2o36b2o2$bo60bo$obo4bo48bo4bobo$bo5b2o 6b2o30b2o6b2o5bo$7bo7b2o30b2o7bo3$19b2o22b2o$7bo11b2o5b2o8b2o5b2o11bo$ bo5b2o17bo10bo17b2o5bo$obo4bo16bobo10bobo16bo4bobo$bo22b2o12b2o22bo4$ 14bo5bo5bo2bob2obo2bo5bo5bo$13b3o3b3o3b2o2bo4bo2b2o3b3o3b3o$26bo2bob2o bo2bo4$13bo7bo20bo7bo$12bobo5bobo10bo7bobo5bobo$13bo7bo10bo2bo6bo7bo$ 16bo7bo7bo2bo9bo7bo$15bobo5bobo8bo9bobo5bobo$16bo7bo20bo7bo4$29bo2bob 2obo2bo$16b3o3b3o3b2o2bo4bo2b2o3b3o3b3o$17bo5bo5bo2bob2obo2bo5bo5bo4$ 4bo22b2o12b2o22bo$3bobo4bo16bobo10bobo16bo4bobo$4bo5b2o17bo10bo17b2o5b o$10bo11b2o5b2o8b2o5b2o11bo$22b2o22b2o3$10bo7b2o30b2o7bo$4bo5b2o6b2o 30b2o6b2o5bo$3bobo4bo48bo4bobo$4bo60bo2$15b2o36b2o$15bo38bo$16b3o32b3o $18bo32bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 8 ZOOM 5 LOOP 58 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 258
Bounding box 67 × 56
Period 58 (mod: 58)
Heat 220.1
Volatility 0.91 | 0.01
Kinetic symmetry n
Discovered by Bill Gosper
Mark Niemiec
Year of discovery 1994

P58 toadsucker is a period-58 toadsucker oscillator found by Bill Gosper and Mark Niemiec on October 25, 1994,[1] being the first period 58 oscillator to be found. It is based on p29 pentadecathlon hassler, a period-29 domino sparker that changes the phase of a pentadecathlon, and works by shifting a toad back and forth every 58 generations. This was the only known way to create period-58 oscillators until the discovery of Herschel loops and FNG eater that allowed sufficient compression. In terms of its 258 cells it was the smallest known period-58 oscillator before discovery of the Snark and p29 bouncer. p58 toad flippers are also possible, also at 258 cells as shown below:

x = 64, y = 60, rule = B3/S23 15bo32bo$13b3o32b3o$12bo38bo$12b2o36b2o2$bo60bo$obo4bo48bo4bobo$bo5b2o 6b2o30b2o6b2o5bo$7bo7b2o30b2o7bo4$7bo48bo$bo5b2o10b2o22b2o10b2o5bo$obo 4bo11b2o5b2o8b2o5b2o11bo4bobo$bo24bo10bo24bo$24bobo10bobo$24b2o12b2o2$ 14bo34bo$13b3o32b3o$20bo5bo2bob2obo2bo5bo$19b3o3b2o2bo4bo2b2o3b3o$26bo 2bob2obo2bo2$13bo36bo$12bobo34bobo$13bo5b2o22b2o5bo$19b2o11bo10b2o$31b o2bo$31bo2bo$19b2o12bo9b2o$13bo5b2o22b2o5bo$12bobo34bobo$13bo36bo2$26b o2bob2obo2bo$19b3o3b2o2bo4bo2b2o3b3o$20bo5bo2bob2obo2bo5bo$13b3o32b3o$ 14bo34bo2$24b2o12b2o$24bobo10bobo$bo24bo10bo24bo$obo4bo11b2o5b2o8b2o5b 2o11bo4bobo$bo5b2o10b2o22b2o10b2o5bo$7bo48bo4$7bo7b2o30b2o7bo$bo5b2o6b 2o30b2o6b2o5bo$obo4bo48bo4bobo$bo60bo2$12b2o36b2o$12bo38bo$13b3o32b3o$ 15bo32bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 6 WIDTH 600 HEIGHT 480 GPS 7.25 LOOP 58 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

See also

References

  1. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.

Adam P. Goucher's Catagolue:


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