Difference between revisions of "Crown"

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{{Oscillator|name=Crown|pname=crown|bx=23|by=15|h=51.7|p=12|c=63|discoverer=Noam Elkies|discoveryear=1995|life105=true|life106=true|plaintext=true|rle=true|animated=true|synthesis=30|synthesisRLE=true}}
{{Oscillator
'''Crown''' is a [[period]] [[:Category:Oscillators with period 12|12]] [[oscillator]] that was found by [[:Category:Patterns found by Noam Elkies|Noam Elkies]] in January [[:Category:Patterns found in 1995|1995]]. Alternatively, it may refer just to the 10-[[cell]] piece at the top of the oscillator in generation 10 (shown below in green) that is [[hassle]]d by the [[caterer]], [[jam]], and [[heavyweight emulator]].
|name         = Crown
|pname       = crown
|c            = 63
|bx           = 23
|by           = 15
|p            = 12
|m            = 12
|h           = 51.7
|v            = 0.73
|sv          = 0.23
|discoverer   = Noam Elkies
|discoveryear = 1995
|rulemin      = B3/S23
|rulemax      = B37/S23
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|isorulemin  = B3/S23-ckq
|isorulemax  = B34ciqrw5cknr6-ak7/S234-aijqr5-ainr6ein7e
|plaintext   = true
|rle         = true
|animated     = true
|viewerconfig = #C [[ THUMBSIZE 2 GPS 3 ZOOM 16 HEIGHT 300 WIDTH 600 LOOP 13 ]]
|apgcode      = xp12_03f50ggzw1701wc4o796zw277xuvvz0k70c8wc97o4oz675y411
}}
'''Crown''' is a {{period|12}} [[oscillator]] that was found by [[Noam Elkies]] in January {{year|1995}}. Alternatively, it may refer just to the 10-[[cell]] piece at the top of the oscillator in generation 10 (shown below in green) that is [[hassle]]d by two [[caterer]]s and a [[heavyweight emulator]].


Note that the jam can be replaced by a second caterer, as in [[pi orbital]] and [[p156 Hans Leo hassler]].
It is used in the [[pi orbital]] and [[p156 Hans Leo hassler]].
 
A {{gliders|52}} [[synthesis]] is known for a variant of this oscillator which uses two [[jam]]s rather than two caterers for stabilization.<ref>{{citeCatagolue|title=xp12_0ggy069li0o8z343si6xgjzxvvfx33hzcis346wo4aj064zy511|page=object/xp12_0ggy069li0o8z343si6xgjzxvvfx33hzcis346wo4aj064zy511/b3s23|accessdate=June 1, 2019}}</ref>
 
By replacing the caterers with extensible p3 oscillator, an extensible crown can be made:
 
{{EmbedViewer
|position    = center
|pname        = extensiblecrown
|viewerconfig = #C [[ AUTOSTART THUMBSIZE 2 ZOOM 10 WIDTH 600 HEIGHT 480 GPS 6 LOOP 13 ]]
}}


==Image gallery==
==Image gallery==
Line 12: Line 45:
==See also==
==See also==
*[[144P24]]
*[[144P24]]
==References==
<references />


==External links==
==External links==
{{LinkWeisstein|filename=Crown.html}}
{{LinkWeisstein|filename=Crown.html}}
{{LinkLexicon|filename=lex_c.htm#crown}}
{{LinkLexicon|filename=lex_c.htm#crown}}
{{LinkCatagolue|xp12_03f50ggzw1701wc4o796zw277xuvvz0k70c8wc97o4oz675y411}}
{{Sparker|p=12|type=domino|strength=moderate}}

Revision as of 23:52, 26 December 2019

Crown
x = 25, y = 14, rule = B3/S23 5bo$4o3bo11bo$3bo3bo9bo3b4o$7bo3b3o3bo3bo$4bo7bo4bo$5b2o13bo$18b2o2$5b 2o8b2o$5bo2b6o2bo$6b2o6b2o$3b3o10b3o$3bo2bobo4bobo2bo$4b2o4b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 GPS 3 ZOOM 16 HEIGHT 300 WIDTH 600 LOOP 13 ]]
Pattern type Oscillator
Number of cells 63
Bounding box 23 × 15
Period 12
Mod 12
Heat 51.7
Volatility 0.73
Strict volatility 0.23
Discovered by Noam Elkies
Year of discovery 1995

Crown is a period-12 oscillator that was found by Noam Elkies in January 1995. Alternatively, it may refer just to the 10-cell piece at the top of the oscillator in generation 10 (shown below in green) that is hassled by two caterers and a heavyweight emulator.

It is used in the pi orbital and p156 Hans Leo hassler.

A 52-glider synthesis is known for a variant of this oscillator which uses two jams rather than two caterers for stabilization.[1]

By replacing the caterers with extensible p3 oscillator, an extensible crown can be made:

x = 52, y = 39, rule = B3/S23 10bo3b2o$9bobo2bo6b2o$10b2o3bo5bo6b2o$12b3obo5bo5bo6b2o$10b2o2bobo2b3o bo5bo5bo6b2o$b2o6bo2b3obobo2bobo2b3obo5bo5bo$obo5bobo3bobo2b3obobo2bob o2b3obo5bo5b2o$obob2o3bo3b2ob2o3bobo2b3obobo2bobo2b3obo3bobo$bobobo4b 2obo6b2ob2o3bobo2b3obobo2bobo2bo$3bo7bo5b2obo6b2ob2o3bobo2b3obobob2o$ 2bo2bo5bo6bo5b2obo6b2ob2o3bobobobobo$2bo15bo6bo5b2obo6b2obo2bo3bo$2bo 3bo5bo12bo6bo5b2obo3bo3b3o$2bo3bo3b2o20bo6bo5b4o$2bo7b2ob2ob2o21bo6bo 2bo$2bo2bo4b2o4b3o3b4o4bobo15b2o$3bo8bo3b2o4b2obo7bo6bo$bobobo17b3o3bo 3bo4b2o$obob2o4bo22bo4b2ob2o$obo7bo6bo12bobo5b2o$b2o5bob2o5bo6bo15bo$ 7b2o6bob2o5bo6bo$6bo4b2ob2o6bob2o5bo6bo$8b2o2bobo3b2ob2o6bob2o5bo$4bob o3bobob3o2bobo3b2ob2o6bob2o$4bo5bobobo2bobob3o2bobo3b2ob2o3bo$5b4obobo b3o2bobo2bobob3o2bobo3bobo$6bob2o3bo5bob3o2bobo2bobob3o2bo$6bo7bo5bo5b ob3o2bobo2b2o$5bob3o3b2o6bo5bo5bob3o$7bo2bo9b2o6bo5bo3b2o$4bobo2b2o16b 2o6bo2bobo$3b2o29b2o3bo$3b2o$4bobo2$4bo2bo$4bobo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 ZOOM 10 WIDTH 600 HEIGHT 480 GPS 6 LOOP 13 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

Image gallery

Generation 10 reveals a piece that by itself is sometimes referred to as the crown

See also

References

External links

Template:LinkWeisstein