Karel's p15: Difference between revisions

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Line 10: Line 10:
|v                = 1.00
|v                = 1.00
|sv              = 1.00
|sv              = 1.00
|symmetry        = -e
|discoverer      = Karel Suhajda
|discoverer      = Karel Suhajda
|discoveryear    = 2002
|discoveryear    = 2002
|rulemin          = B3/S23
|rulemin          = B3/S23
|rulemax          = B3/S23
|rulemax          = B3/S23
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B3-k/S23-ck
|synthesis        = 18
|isorulemax      = B2n34cjqryz5in6-ik7c/S234cjkyz5cjknr6-ac
|synthesis        = 8
|synthesisRLE    = true
|synthesisRLE    = true
|life105          = true
|life106          = true
|plaintext        = true
|plaintext        = true
|rle              = true
|rle              = true
Line 24: Line 24:
|apgcode          = xp15_14441xvtvz41114x757
|apgcode          = xp15_14441xvtvz41114x757
|pentadecathlonid = 28P15.3
|pentadecathlonid = 28P15.3
|viewerconfig    = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 24 GPS 8 LOOP 15 ]]
}}
}}
'''Karel's p15''' is a [[period]] [[:Category:oscillators with period 15|15]] [[oscillator]] discovered by [[Karel Suhajda]] on December 11, [[:Category:patterns found in 2002|2002]].<ref>{{CiteSummersPattern|name=all-osc}}</ref> It consists of a period 15 [[rotor]] supported by the [[polyomino#domino|domino]] [[spark]] of a [[pentadecathlon]]. A pentadecathlon can support 2 Karel's p15s. It provides accessible sparks that can be used to [[perturb]] reactions. The [[p15 bouncer]] mechanism is an example. In the same month of its discovery, [[Mark Niemiec]] found an [[:Category:patterns that can be constructed with 18 gliders|18]]-[[glider]] [[glider synthesis|synthesis]] of this oscillator.<ref>{{CiteSummersPattern|name=jslife}}</ref>
'''Karel's p15''' is a {{period|15}} [[oscillator]] discovered by [[Karel Suhajda]] on December 11, {{year|2002}}.<ref>{{CiteSummersPattern|name=all-osc}}</ref> In this oscillator, a [[pentadecathlon]] [[hassle]]s an unnamed [[active reaction]]. A pentadecathlon can support up to 2 Karel's p15s.  


==Image gallery==
It provides accessible sparks that can be used to [[perturb]] reactions; the advantage of Karel's p15 over a pentadecathlon is that the pentadecathlon's long end reaches its maximum extent on two separate occasions, while Karel's p15 does only once, allowing its use as a [[finger]]. The [[p15 bouncer]] mechanism is an example. In the same month of its discovery, [[Mark Niemiec]] found an {{gliders|18}} [[Glider synthesis|synthesis]] of this oscillator.<ref>{{CiteSummersPattern|name=jslife}}</ref>
{|
|-
|[[Image:P435_gun.gif|framed|left|Period 435 gun shows how this pattern thins out the glider stream and triples the period.]]
|}


[[Category:Sparkers]]
This oscillator first appeared [[semi-natural]]ly in March {{year|2015}}.<ref name="post18012" />
[[Category:Sparkers with period 15]]
[[Category:Weak sparkers]]
==See Also==
*[[P60 hassler]]


==References==
A [[glider stream]] with period divisible by 5 but not 15 can be [[filter]]ed with a Karel's p15 to triple the period.
<references/>
 
{{EmbedViewer
|pname        = p435gun2
|viewerconfig = #C [[ MAXGRIDSIZE 9 WIDTH 750 HEIGHT 430 THUMBSIZE 2 ZOOM 6 AUTOSTART LOOP 435 ]]
|position    = center
|caption      = Period 435 gun shows how this pattern thins out the glider stream and triples the period
|style        = width:300px;
}}
 
== As a catalyst ==
Karel's p15 can be used to push a beehive with a much smaller footprint than the [[beehive push catalyst]]. Even though it is a [[periodic catalyst]], it works in 13 of 15 generations, with the two that fail being consecutive.
{{EmbedViewer
|rle          = x = 58, y = 48, rule = B3/S23
49bo$49bo$41b3o$49bo$40bo3bo3bobo$41b3o$48b3o3$48b3o$21b2o18b3o$15bob
2obobo17bo3bo3bobo$6b2o7b2obobo28bo$2b2obobo11b2o20b3o$3bobo43bo$3bob
2o35bo6bo$2obo28b2o7bobo$o2b4o25bo3bo4bobo$b2o3bo23bobo2bobo4bo$3b3o
24b2o4bo$3bo15b3o$bobo15bo$b2o16bo$20b2obo9b2o$23b2o9bob2o$38bo16b2o$
38bo15bobo$36b3o15bo$21bo4b2o24b3o$15bo4bobo2bobo23bo3b2o$14bobo4bo3bo
25b4o2bo$14bobo7b2o28bob2o$8bo6bo35b2obo$8bo43bobo$14b3o20b2o11bobob2o
$8bo28bobob2o7b2o$7bobo3bo3bo17bobob2obo$14b3o18b2o$7b3o3$7b3o$14b3o$
7bobo3bo3bo$8bo$14b3o$8bo$8bo!
|position    = center
|viewerconfig = #C [[ GPS 23 THUMBSIZE 2 ZOOM 6 ]]
|caption      = A period-345 [[LCM]] oscillator. The base reaction is p69. As 69 is a multiple of 3, Karel's p15 can push the beehive back in generations that are multiples of 3, avoiding the two in a row that cause it to fail. No non-LCM completion of this p69 is known.
|style        = width:300px;
|apgcode      = xp345_y3vtvx14441zy3757x41114yd62sgc48cy3o8g0ggzyafgfxg8g04s0gyjqb8fgkczyh10ow11y2ggqe4y91178cz062sggy94eb11y2ggw30gz651u2qbyj10740121xu1uzw110123y36246178cyd4ggg4xskszyz0g444gxvnv
}}
 
== Gallery ==
{{EmbedViewer
|rle          = x = 23, y = 23, rule = B3/S23
8o$ob4obo$8o4$o6bo4bo$2bo2bo4b3o$2bo2bo4b3o$2bo2bo$o6bo6b3o$14b2o$14b
2o3$12bo3bo3b3o$20bobo$13b3o4b3o$20b3o$20b3o$13b3o4b3o$20bobo$12bo3bo
3b3o!
|viewerconfig = #C [[ THUMBSIZE 3 ZOOM 18 GPS 3 LOOP 15 HEIGHT 600 AUTOSTART ]]
|position    = center
|caption      = Two Karel's p15s hassle blinkers and rephase them (occurred seminaturally in [[tetramer]] form in a soup by [[Charity Engine]] on 2022-02-13)<ref>The {{LinkCatagolue|xp15_yb75777757zy6eccw20sws02wccezy2177y21y21y2771zvtvx14441yc14441xvtvz757x41114yc41114x757zy24770gggw40owo04wggg0774zy6311w201w102w113zyb75777757|patternname=tetramer form|style=raw}} on [[Catagolue]], {{cata|attribute/xp15_yb75777757zy6eccw20sws02wccezy2177y21y21y2771zvtvx14441yc14441xvtvz757x41114yc41114x757zy24770gggw40owo04wggg0774zy6311w201w102w113zyb75777757/b3s23/D8_4|the attribute page}}, {{cata|hashsoup/D8_4/c_QyeGaUXLGAG0327848419/b3s23|the first soup}}</ref>
|style        = width:300px;
|apgcode      = xp15_75777757z20sws02wccez1y21y2771zy814441xvtvzy841114x757
}}
 
== See also ==
* [[Buddleia]]
* [[p60 traffic light hassler]]
 
== References ==
<references>
<ref name="post18012">{{LinkForumThread
|format = ref
|p      = 18012
|title  = Re: Soup search results
|author = Dongook Lee
|date  = March 15, 2015
}}</ref>
</references>


== External links ==
== External links ==
{{LinkLexicon|lex_k.htm#karelsp15}}
* {{LinkLexicon|lex_k.htm#karelsp15}}
{{LinkCatagolue|xp15_14441xvtvz41114x757}}
* {{LinkCatagolue|xp15_14441xvtvz41114x757}}
{{LinkPentadecathlonObject|28P15.3}}
* {{LinkPentadecathlonObject|id=28P15.3|archivedate=20221104225725}}


{{Symmetry|orthogonal2}}
{{Sparker|p=15|strength=weak}}
{{seminatural}}
__NOTOC__

Latest revision as of 04:35, 18 November 2024

Karel's p15
x = 10, y = 11, rule = B3/S23 2bo4bo$2b6o$2bo4bo4$2b6o$bo6bo$o8bo$bo6bo$2b6o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 24 GPS 8 LOOP 15 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 28
Bounding box 16 × 14
Period 15 (mod: 15)
Heat 34.9
Volatility 1.00 | 1.00
Kinetic symmetry -e
Discovered by Karel Suhajda
Year of discovery 2002

Karel's p15 is a period-15 oscillator discovered by Karel Suhajda on December 11, 2002.[1] In this oscillator, a pentadecathlon hassles an unnamed active reaction. A pentadecathlon can support up to 2 Karel's p15s.

It provides accessible sparks that can be used to perturb reactions; the advantage of Karel's p15 over a pentadecathlon is that the pentadecathlon's long end reaches its maximum extent on two separate occasions, while Karel's p15 does only once, allowing its use as a finger. The p15 bouncer mechanism is an example. In the same month of its discovery, Mark Niemiec found an 18-glider synthesis of this oscillator.[2]

This oscillator first appeared semi-naturally in March 2015.[3]

A glider stream with period divisible by 5 but not 15 can be filtered with a Karel's p15 to triple the period.

x = 112, y = 61, rule = B3/S23 52b2o14bo25bo$27b2o24bo14b3o21b3o$28bo13b2o6b3o18bo19bo9bo$28bobo11b2o 6bo19b2o19b2o6b5o$14b2o13b2o67bo5bo$14b2o57bo24bob2o2bo$42bo54b2obobob 3obo$40bo3bo44bo12bo4b2o$8b2o30bo3bo43b3o10b2ob2o$8b2o30b2o3bo41b2obo 8bo2bobob5o$12b2o29b2o15b2o36bobo3bo6bo$12b2o25bo3b2o15b2o36bob2ob5o2b 2o$90bob2o4b2o$39bo2bo47bo7b3o4b2o$40bob2o39bobo7bo4b3o4b2o$7b2o33b3o 38bobo3bo3bo4b2o$7b2o34b2o34b2o3bo4bo2bo5bob2ob5o2b2o$57b2o20b2o8b3o6b obo3bo6bo$27bo3b2o24bo41bo2bobob5o$26bobo3bo5b2o3b2o13bo42b2ob2o$26b2o 3bo7bo3bo13b2o43bo4b2o$30bo5b3o5b3o50b2obobob3obo$26b5obo3bo9bo51bob2o 2bo$26bo4b2o65bo5bo$27b3o69b5o$29bob2o68bo$30bobo$79bobo$10bo68b2obo$ 8b5o69b3o$7bo5bo65b2o4bo$7bo2b2obo51bo9bo3bob5o$3bob3obobob2o50b3o5b3o 5bo$3b2o4bo43b2o13bo3bo7bo3b2o$6b2ob2o42bo13b2o3b2o5bo3bobo$b5obobo2bo 41bo24b2o3bo$o6bo3bobo6b3o8b2o20b2o$2o2b5ob2obo5bo2bo4bo3b2o34b2o34b2o $12b2o4bo3bo3bobo38b3o33b2o$5b2o4b3o4bo7bobo39b2obo$5b2o4b3o7bo47bo2bo $12b2o4b2obo$2o2b5ob2obo36b2o15b2o3bo25b2o$o6bo3bobo36b2o15b2o29b2o$b 5obobo2bo8bob2o41bo3b2o30b2o$6b2ob2o10b3o43bo3bo30b2o$3b2o4bo12bo44bo 3bo$3bob3obobob2o54bo$7bo2b2obo82b2o$7bo5bo22b2o43b2o13b2o$8b5o6b2o40b o6b2o11bobo$10bo9bo7bo30b3o6b2o13bo$17b3o7b3o5bo22bo24b2o$17bo8b2ob2o 3b3o21b2o$25b3ob3o$25b3ob3o2b3o$25b3ob3o2b3o$25b3ob3o$26b2ob2o3b3o$27b 3o5bo$28bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 WIDTH 750 HEIGHT 430 THUMBSIZE 2 ZOOM 6 AUTOSTART LOOP 435 ]]
Period 435 gun shows how this pattern thins out the glider stream and triples the period
(click above to open LifeViewer)
RLE: here Plaintext: here

As a catalyst

Karel's p15 can be used to push a beehive with a much smaller footprint than the beehive push catalyst. Even though it is a periodic catalyst, it works in 13 of 15 generations, with the two that fail being consecutive.

x = 58, y = 48, rule = B3/S23 49bo$49bo$41b3o$49bo$40bo3bo3bobo$41b3o$48b3o3$48b3o$21b2o18b3o$15bob 2obobo17bo3bo3bobo$6b2o7b2obobo28bo$2b2obobo11b2o20b3o$3bobo43bo$3bob 2o35bo6bo$2obo28b2o7bobo$o2b4o25bo3bo4bobo$b2o3bo23bobo2bobo4bo$3b3o 24b2o4bo$3bo15b3o$bobo15bo$b2o16bo$20b2obo9b2o$23b2o9bob2o$38bo16b2o$ 38bo15bobo$36b3o15bo$21bo4b2o24b3o$15bo4bobo2bobo23bo3b2o$14bobo4bo3bo 25b4o2bo$14bobo7b2o28bob2o$8bo6bo35b2obo$8bo43bobo$14b3o20b2o11bobob2o $8bo28bobob2o7b2o$7bobo3bo3bo17bobob2obo$14b3o18b2o$7b3o3$7b3o$14b3o$ 7bobo3bo3bo$8bo$14b3o$8bo$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 23 THUMBSIZE 2 ZOOM 6 ]]
A period-345 LCM oscillator. The base reaction is p69. As 69 is a multiple of 3, Karel's p15 can push the beehive back in generations that are multiples of 3, avoiding the two in a row that cause it to fail. No non-LCM completion of this p69 is known.
(click above to open LifeViewer)
Catagolue: here
x = 23, y = 23, rule = B3/S23 8o$ob4obo$8o4$o6bo4bo$2bo2bo4b3o$2bo2bo4b3o$2bo2bo$o6bo6b3o$14b2o$14b 2o3$12bo3bo3b3o$20bobo$13b3o4b3o$20b3o$20b3o$13b3o4b3o$20bobo$12bo3bo 3b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 18 GPS 3 LOOP 15 HEIGHT 600 AUTOSTART ]]
Two Karel's p15s hassle blinkers and rephase them (occurred seminaturally in tetramer form in a soup by Charity Engine on 2022-02-13)[4]
(click above to open LifeViewer)
Catagolue: here

See also

References

  1. ↑ Jason Summers' all-osc pattern collection.
  2. ↑ Jason Summers' jslife pattern collection.
  3. ↑ Dongook Lee (March 15, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  4. ↑ The tetramer form on Catagolue, the attribute page, the first soup
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