Difference between revisions of "R64"

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|discoverer  = David Buckingham
|discoverer  = David Buckingham
|discoveryear = 1995
|discoveryear = 1995
|rulemin      = B3/S23
|rulemax      = B38/S238
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|isorulemin  = B3/S23
|isorulemax  = B34ce8/S234c8
|plaintext    = true
|rle          = true
|rle          = true
|viewerconfig = #C [[ ZOOM 16 X 0 Y 0 GPS 20 LOOP 65 PAUSE 2 T 64 PAUSE 2 WIDTH 480 HEIGHT 480 THUMBSIZE 2 ]]
|viewerconfig = #C [[ ZOOM 16 X 0 Y 0 GPS 20 LOOP 65 PAUSE 2 T 64 PAUSE 2 WIDTH 480 HEIGHT 480 THUMBSIZE 2 ]]
}}
}}
'''R64''' is an [[elementary conduit]], one of the original sixteen [[Herschel conduit]]s, discovered by [[Dave Buckingham]] in September [[:Category:Patterns found in 1995|1995]]. After 64 ticks, it produces a [[Herschel]] rotated 90 degrees clockwise at (11, 9) relative to the input. Its [[recovery time]] is 153 ticks. This can be improved to 61 ticks by adding a from-the-side eater inside the turn, as shown in the infobox to avoid interference from the output Herschel's [[first natural glider]], and further reduced to 57 ticks by adding an [[eater 1]] to remove the temporary block.
'''R64''' is an [[elementary conduit]], one of the original sixteen [[Herschel conduit]]s, discovered by [[Dave Buckingham]] on September 26, {{year|1995}}.<ref>{{cite web|url=https://www.conwaylife.com/ref/lifepage/patterns/bhept/bhept.html|title=My Experience with B-heptominos in Oscillators|author=David Buckingham|work=Paul Callahan's Page of Conway's Life Miscellany|date=October 12, 1996|accessdate=November 9, 2020}}</ref> After 64 ticks, it produces a [[Herschel]] rotated 90 degrees clockwise at (11, 9) relative to the input. Its [[recovery time]] is 153 ticks. This can be improved to 61 ticks by adding a from-the-side [[7×9 eater]] inside the turn, as shown in the infobox to avoid interference from the output Herschel's [[first natural glider]], and further reduced to 57 ticks with an [[eater 1]] (in the ghost position) to remove the temporary first natural block. In the pattern shown in the infobox, a [[ghost Herschel]] marks the output location.


R64 is one of the simplest known [[Spartan conduit]]s, one of the three known [[Blockic]] conduits, and one of the few [[elementary conduit]]s in the original set of sixteen.
R64 is the first known stable conduit, and one of the three known [[Blockic]] (and consequently [[Spartan]]) conduits. It was inspired from [[Mark Niemiec]]'s early investigation of common [[methuselah]]s in 1973, where he observed that a new [[B-heptomino]], turned 90 degrees, arises from the evolution of a B-heptomino at generation 64 along with the first natural glider and some other debris. Before the p1 conduit, Dave Buckingham found three periodic versions employing copies of [[Kok's galaxy]], [[figure eight]], [[mazing]] and [[blocker]] in {{year|1991}}:


In the pattern shown in the infobox, a [[ghost Herschel]] marks the output location.
{{EmbedViewer
|position = center
|pname = r64p8variants
|viewerconfig = #C [[ AUTOSTART ZOOM 7 GPS 20 LOOP 160 PAUSE 2 T 64 PAUSE 2 WIDTH 1400 HEIGHT 600 ]]
|caption = p8 variants of R64
}}


== See also ==
== See also ==
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* [[B60]]
* [[B60]]
* [[RRx56H]]
* [[RRx56H]]
* [[R49]]
==References==
<references />


==External links==
==External links==
{{LinkLexicon|lex_r.htm#r64}}
{{LinkLexicon|lex_r.htm#r64}}

Revision as of 04:34, 3 December 2020

R64
x = 24, y = 27, rule = B3/S23 11b2o$11b2o5b2o$2o16b2o$bo$bobo$2bo13b2o$16b2o$22b2o$22b2o4$2bo$2bobo$ 2b3o$4bo4$4b2ob2o$2bo2bobobo$2b2obo2bo$5bo8b3o$5b2o7bo$3b2o2bobo3b2o$ 2bo2bo2b2o$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ ZOOM 16 X 0 Y 0 GPS 20 LOOP 65 PAUSE 2 T 64 PAUSE 2 WIDTH 480 HEIGHT 480 THUMBSIZE 2 ]]
Pattern type Conduit
Conduit type Elementary
Input Herschel
Number of cells 50
Bounding box 33 × 26
Output orientation Turned right
Output offset (11, 9)
Step 64 ticks
Recovery time
(ignoring FNG if any)
153 ticks
Minimum overclock period
(ignoring FNG if any)
Unknown
Spartan? Yes
Dependent? No
Discovered by David Buckingham
Year of discovery 1995

R64 is an elementary conduit, one of the original sixteen Herschel conduits, discovered by Dave Buckingham on September 26, 1995.[1] After 64 ticks, it produces a Herschel rotated 90 degrees clockwise at (11, 9) relative to the input. Its recovery time is 153 ticks. This can be improved to 61 ticks by adding a from-the-side 7×9 eater inside the turn, as shown in the infobox to avoid interference from the output Herschel's first natural glider, and further reduced to 57 ticks with an eater 1 (in the ghost position) to remove the temporary first natural block. In the pattern shown in the infobox, a ghost Herschel marks the output location.

R64 is the first known stable conduit, and one of the three known Blockic (and consequently Spartan) conduits. It was inspired from Mark Niemiec's early investigation of common methuselahs in 1973, where he observed that a new B-heptomino, turned 90 degrees, arises from the evolution of a B-heptomino at generation 64 along with the first natural glider and some other debris. Before the p1 conduit, Dave Buckingham found three periodic versions employing copies of Kok's galaxy, figure eight, mazing and blocker in 1991:

x = 167, y = 32, rule = B3/S23 17b3o62bo16b2o61bo$16bo65b3o11bo63b3o$16bo3bo50b2o12bo9bobo2b2o57bo$ 16bo2bobo50bobo9b2o7bobob3o2bo56b2o$18bobo2bo45bo5bo17bo2b6o62b2o$19bo 3bo45b2o3bo21b2ob2o63bo$23bo71b6o2bo58bobo$20b3o47bobo21bo2b3obobo58b 2o$71bo23b2o2bobo$100bo$96b2o41b2o$139b2o2$98b4o62b2o$94b2obo4bo60bo2b o$33b4o56bo3bo4bo41bo18bo$29b2obo4bo36bo18bo4b2o44bobo16bo$28bo3bo4bo 36bobo16bo2bo4b2o41b3o16bob2o$28bo4b2o39b3o16bo2bo3bo2bo42bo18b2o$9bo 18bo2bo4b2o38bo17b2o4bo2bo$9bobo16bo2bo3bo2bo58b2o4bo$9b3o17b2o4bo2bo 55bo4bo3bo60b2o$11bo20b2o4bo55bo4bob2o61b2o$29bo4bo3bo56b4o38b2o$29bo 4bob2o29b2o69bo$30b4o34bo66b3o18b3o$65b3o18b3o46bo20bo$2b2o61bo20bo68b 2o$3bo81b2o$3o18b3o$o20bo$20b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 7 GPS 20 LOOP 160 PAUSE 2 T 64 PAUSE 2 WIDTH 1400 HEIGHT 600 ]]
p8 variants of R64
(click above to open LifeViewer)
RLE: here Plaintext: here

See also

References

  1. David Buckingham (October 12, 1996). "My Experience with B-heptominos in Oscillators". Paul Callahan's Page of Conway's Life Miscellany. Retrieved on November 9, 2020.

External links