P5 diamond: Difference between revisions

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m MathAndCode reduced synthesis cost to 32 gliders
add catagolue job reference for synth reduction
 
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Line 14: Line 14:
|rulemin          = B3/S23
|rulemin          = B3/S23
|rulemax          = B378/S0235678
|rulemax          = B378/S0235678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B3aeinq/S2aei3-ciky  
|isorulemin      = B3aeinq/S2aei3-ciky  
|isorulemax      = B2in34aejkw5aciky6-k78/S01c234-ny5678
|isorulemax      = B2in34aejkw5aciky6-k78/S01c234-ny5678
|synthesis        = 36
|synthesis        = 18
|rle              = true
|rle              = true
|plaintext        = true
|plaintext        = true
Line 25: Line 24:
'''p5 diamond''' is a {{period|5}} [[oscillator]] that frequently appears in 4-fold odd rotationally symmetric soups (C4_1). It has various seminatural stator variants. The form shown in the infobox is the most common form.
'''p5 diamond''' is a {{period|5}} [[oscillator]] that frequently appears in 4-fold odd rotationally symmetric soups (C4_1). It has various seminatural stator variants. The form shown in the infobox is the most common form.


On September 22, {{year|2024}}, [[pifricted]] found a {{gliders|36}} synthesis.<ref name="post194638"/><ref name="j7888337374"/> On December 17 in the same year [[MathAndCode]] reduced the synthesis cost to 32 gliders.<ref name="post199998"/>
On September 22, {{year|2024}}, [[pifricted]] found a {{gliders|36}} synthesis.<ref name="post194638"/><ref name="j7888337374"/> On December 17 in the same year [[Daniel Vargas]] reduced the synthesis cost to {{gliders|32|text=32 gliders}}.<ref name="post199998"/><ref name="j8660386666"/> On December 18, [[KtT]] lowered the cost to {{gliders|18|text=18 gliders}} based on another soup.<ref name="post200068"/><ref name="j8678077381"/>


== Gallery ==
== Gallery ==
{| style="margin:auto;width:360px;"
{{gallery top}}
|{{EmbedViewer
{{gallery item|{{EmbedViewer
|pname = p17p5diamondphaseshifter
|pname = p17p5diamondphaseshifter
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 5 ZOOM 10 ]]
|viewerconfig = #C [[ GPS 5 ZOOM 10 ]]
|caption      = A period-17 oscillator that [[phase shift]]s the p5 diamond using [[R2-D2]]
|caption      = A period-17 oscillator that [[phase shift]]s the p5 diamond using [[R2-D2]]
|style        = width:300px;
|apgcode      = xp17_y4gglb8bb88gzoo0u1f0v0s25kkll55oz6243s24b898ws0u1i1u1qrzy1dlllhhla9870743zy466065
|apgcode      = xp17_y4gglb8bb88gzoo0u1f0v0s25kkll55oz6243s24b898ws0u1i1u1qrzy1dlllhhla9870743zy466065
}}
}}}}
|-
{{gallery item|{{EmbedViewer
|{{EmbedViewer
|pname = p27p5diamondphaseshifter
|pname = p27p5diamondphaseshifter
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 5 ZOOM 10 ]]
|viewerconfig = #C [[ GPS 5 ZOOM 10 ]]
|caption      = A period-27 oscillator that phase shifts the p5 diamond
|caption      = A period-27 oscillator that phase shifts the p5 diamond
|style        = width:300px;
|apgcode      = xp27_0c84c0s22baikm88g0sa2sgwmqz0o4k69n4la222aal44raheib2i2sgzw1p59heh9lld1347gv0o0v0ehcbzgt3o70v0h0v0eic8baa9o7o9ap8gz03kk4dkn85t2ia5lkk45a2u96221zw56x3453w116245d44303213
|apgcode      = xp27_0c84c0s22baikm88g0sa2sgwmqz0o4k69n4la222aal44raheib2i2sgzw1p59heh9lld1347gv0o0v0ehcbzgt3o70v0h0v0eic8baa9o7o9ap8gz03kk4dkn85t2ia5lkk45a2u96221zw56x3453w116245d44303213
}}
}}}}
|-
{{gallery item|{{EmbedViewer
|{{EmbedViewer
|pname = p5diamond2
|pname = p5diamond2
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 5 ZOOM 12 ]]
|viewerconfig = #C [[ GPS 5 ZOOM 12 ]]
|caption      = A different, much rarer p5 diamond
|caption      = A different, much rarer p5 diamond
|style        = width:300px;
|apgcode      = xp5_y0gbb8bb88gzcc0v031x130v0rrz33034ba888ab43zy333033
|apgcode      = xp5_y0gbb8bb88gzcc0v031x130v0rrz33034ba888ab43zy333033
}}
}}}}
|}
{{gallery bottom}}


== References ==
== References ==
<references>
<references>
<ref name="j7888337374">{{CiteCatagolueJob|job=7888337374|date=September 22, 2024}}</ref>
<ref name="j7888337374">{{CiteCatagolueJob|job=7888337374|date=September 22, 2024}}</ref>
<ref name="j8660386666">{{CiteCatagolueJob|job=8660386666|date=December 17, 2024}}</ref>
<ref name="j8678077381">{{CiteCatagolueJob|job=8678077381|date=December 18, 2024}}</ref>
<ref name="post194638">{{LinkForumThread
<ref name="post194638">{{LinkForumThread
|format = ref
|format = ref
Line 64: Line 66:
|date  = September 22, 2024
|date  = September 22, 2024
}}</ref>
}}</ref>
<ref name="post199998">{{LinkForumThread
<ref name="post199998">{{LinkForumThread
|format = ref
|format = ref
Line 71: Line 72:
|author = MathAndCode
|author = MathAndCode
|date  = December 17, 2024
|date  = December 17, 2024
}}</ref>
<ref name="post200068">{{LinkForumThread
|format = ref
|p      = 200068
|title  = Re: Synthesising Oscillators
|author = KtT
|date  = December 18, 2024
}}</ref>
}}</ref>
</references>
</references>
Line 80: Line 88:


{{seminatural}}
{{seminatural}}
{{dtlc1}}

Latest revision as of 16:33, 18 December 2024

p5 diamond
x = 13, y = 13, rule = B3/S23 7b2o$2b2obo2bo$2b2ob2obob2o$8bob2o$6o2bo$o7bob2o$2bo7bo$b2obo7bo$4bo2b 6o$b2obo$b2obob2ob2o$4bo2bob2o$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] [[ GPS 5 HEIGHT 480 ]]
View static image
Pattern type Oscillator
Oscillator type Billiard table
Number of cells 56
Bounding box 13 × 13
Period 5 (mod: 5)
Heat 8.0
Volatility 0.28 | 0.28
Kinetic symmetry rc
Discovered by Unknown
Year of discovery Unknown

p5 diamond is a period-5 oscillator that frequently appears in 4-fold odd rotationally symmetric soups (C4_1). It has various seminatural stator variants. The form shown in the infobox is the most common form.

On September 22, 2024, pifricted found a 36-glider synthesis.[1][2] On December 17 in the same year Daniel Vargas reduced the synthesis cost to 32 gliders.[3][4] On December 18, KtT lowered the cost to 18 gliders based on another soup.[5][6]

x = 23, y = 23, rule = B3/S23 8b2ob2o$8b2obo$12bo$6b6o$5bo6b3o$5b2o3b2o3bob2o$12bo2bobobo$5b7obobo3b o$4bo6bobobo3bob2o$4bo2b4ob2obo3bob2o$obobobo2bo3bobobobo$2obobob2o5b 2obobob2o$3bobobobo3bo2bobobobo$2obo3bob2ob4o2bo$2obo3bobobo6bo$3bo3bo bob7o$3bobobo2bo$4b2obo3b2o3b2o$8b3o6bo$11b6o$10bo$11bob2o$10b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 5 ZOOM 10 ]]
A period-17 oscillator that phase shifts the p5 diamond using R2-D2
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 29, y = 29, rule = B3/S23 9bo$7b5obo5b2o4b2o$bob2obo5b2o4bo2bo3bo$b2obobo2b2o3b2o2b2obo4bo$6bo4b 3o2bobo2b2o2b2o$5b2obo6bo2bobo2bo$4bobo2b6o3b2ob6o$2b3ob3o6b3o3bo5bo$b o3bo3bo2b3o3b2obobo3bo$bobo2bobo6bo2bobobo2bob2o$2b5ob7obobo3bo2bobo$ 7bo6bobobo3bobo2bo$4bo2bo2b5obobobobobobo$3bobobobo6bobobobobob2o$3bo 2bobob3o3b3obobo2bo$b2obobobobobo6bobobobo$2bobobobobobob5o2bo2bo$bo2b obo3bobobo6bo$bobo2bo3bobob7ob5o$2obo2bobobo2bo6bobo2bobo$bo3bobob2o3b 3o2bo3bo3bo$bo5bo3b3o6b3ob3o$2b6ob2o3b6o2bobo$5bo2bobo2bo6bob2o$2b2o2b 2o2bobo2b3o4bo$2bo4bob2o2b2o3b2o2bobob2o$3bo3bo2bo4b2o5bob2obo$2b2o4b 2o5bob5o$19bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 5 ZOOM 10 ]]
A period-27 oscillator that phase shifts the p5 diamond
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 17, y = 17, rule = B3/S23 5b2ob2o$5b2ob2o2$5b7o$4bo7bo$3bob2o3b2obob2o$3bobo5bobob2o$2obo9bo$2o bo9bob2o$3bo9bob2o$2obobo5bobo$2obob2o3b2obo$4bo7bo$5b7o2$7b2ob2o$7b2o b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 5 ZOOM 12 ]]
A different, much rarer p5 diamond
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here


References

  1. ↑ pifricted (September 22, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  2. ↑ shinjuku (#7888337374) (September 22, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  3. ↑ MathAndCode (December 17, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. ↑ shinjuku (#8660386666) (December 17, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  5. ↑ KtT (December 18, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  6. ↑ shinjuku (#8678077381) (December 18, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
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