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'''Ruler''' is a pattern constructed by Dean Hickerson in April 2005 that produces a stream of LWSS with gaps in it, such that the number of LWSS between successive gaps follows the "ruler function" (sequence [https://oeis.org/A001511 A001511] in The On-Line Encyclopedia of Integer Sequences).
{{Pattern
 
|name        = Ruler
{{EmbedViewer
|position    = center
|pname        = ruler
|pname        = ruler
|caption      = Original form (997 cells)
|c            = 997
|bx          = 169
|by          = 116
|discoverer  = Dean Hickerson
|discoveryear = 2005
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 2 GPS 20 ]]
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 2 GPS 20 ]]
}}
}}
'''Ruler''' is a pattern constructed by [[Dean Hickerson]] in April {{year|2005}} that produces a stream of [[LWSS]]es with gaps in it, such that the number of spaceships between successive gaps follows the "ruler function" (sequence [https://oeis.org/A001511 A001511] in The On-Line Encyclopedia of Integer Sequences).
The first length-n series of LWSSes is emitted at approximately generation 96*2^n.  The pattern uses a Corderman [[eater 1|eater]] [[puffer]] found by [[Paul Tooke]] in January {{year|2004}}, a [[p48 glider gun]] by [[Noam Elkies]] in June {{year|1997}}, a [[p8 bouncer]] by Noam Elkies in September {{year|1998}}, and a p24 LWSS puffer (source unknown).
{{EmbedViewer
{{EmbedViewer
|position    = center
|position    = center
Line 13: Line 19:
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 2 GPS 20 ]]
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 2 GPS 20 ]]
}}
}}
The first length-n series of LWSSes is emitted at approximately generation 96*2^n.  The pattern uses a Corderman eater puffer found by Paul Tooke in January 2004, a p48 glider gun by Noam Elkies in June 1997, a p8 glider reflector by Noam Elkies in September 1998, and a p24 LWSS puffer (source unknown).


==External links==
==External links==

Revision as of 23:06, 15 January 2019

Ruler
Ruler image
View static image
Pattern type Miscellaneous
Number of cells 997
Bounding box 169 × 116
Static symmetry Unspecified
Discovered by Dean Hickerson
Year of discovery 2005

Ruler is a pattern constructed by Dean Hickerson in April 2005 that produces a stream of LWSSes with gaps in it, such that the number of spaceships between successive gaps follows the "ruler function" (sequence A001511 in The On-Line Encyclopedia of Integer Sequences).

The first length-n series of LWSSes is emitted at approximately generation 96*2^n. The pattern uses a Corderman eater puffer found by Paul Tooke in January 2004, a p48 glider gun by Noam Elkies in June 1997, a p8 bouncer by Noam Elkies in September 1998, and a p24 LWSS puffer (source unknown).

x = 161, y = 101, rule = B3/S23 25bo$25bo$25bo$25bo$23b2o$22bo$9bo12bo$8b2o3$27bo$24b3o3$bo22b3o$2o22b 3o$22b2ob2o$22bo$22b3o5$33bo$30b2obo2$31bo$29b2o24bo$31bo22bobo2b2o8b 2o$53bo3b4o$56bo8bobobo$51b2obo11bo2bo$52bobo11bo$44bo8bo$43b2o3$63bob o$63bo2bo2bo7bobo$63bob2obobo5b2ob2o$69bo6b2obo$61b3o11bo$61b3o12bo$ 37bo24bo13bo$37bobobo82bo$38b3obo79bo2bo$41bo80b5o$41b2o78b4ob2o$41bo 83b2o$42b2o$46bo89b2o$45bobo88b3o$46b2o87b2ob2o$42b2o93b2o$41bobo89bo$ 41bo6bo25bo56bobo$40b2o5b2o24b2o58bo$137b2o$135b2ob2o$136b3o$136b2o$ 121b6o$65bo42b4o8bo5bo$64b2o42bo3bo13bo$108bo16bo$109bo$145bo$122bo20b o2bo$121b2o20b5o$142b4ob2o$146b2o2$157b4o$156bo3bo$123bo36bo$124bo27bo 6bo$120bo3bo29b3o$121b4o27bo6bo$160bo$156bo3bo$157b4o$135b2o$81bo51b2o b2o9bo$80b2o47bo3b4o11bo$127b2obo3b2o6bo5bo$127bo3bo11b6o$76b2o17bo8bo 22b2obo3b2o$77bo16b2o4bo3bo24bo3b4o$77bobo19b2obo30b2ob2o$78b2o55b2o$ 99b2o$84bo14bo27bo$82b2o13bo2bo3b2o22bo$83bo13bo3b5o16bo5bo$97bo25b6o$ 84b2o$115b4o$78b2o34bo3bo$77bobo12bo25bo$77bo13b2o24bo$76b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 2 GPS 20 ]]
An improvement made in 2019 (540 cells)

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