Difference between revisions of "C/4 orthogonal"
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{{Speed|speed=c/4 orthogonal | {{Speed | ||
|image = 46p4h1v0 | |||
|speed = c/4 orthogonal | |||
|ss = yes | |||
|puff = yes | |||
|rake = yes | |||
|wick = yes | |||
|gun = yes | |||
}} | |||
'''c/4 orthogonal''' is an orthogonal [[speed]] that is equivalent to one fourth of the speed of light. | '''c/4 orthogonal''' is an orthogonal [[speed]] that is equivalent to one fourth of the speed of light. | ||
==Spaceships== | ==Spaceships== | ||
[[Image:c4greyship.png|framed|right|A [[greyship]] created by Hartmut Holzwart using several methods of stabilization<br/>{{JavaRLE|c4greyship}}]] | [[Image:c4greyship.png|framed|right|A [[greyship]] created by Hartmut Holzwart using several methods of stabilization<br/>{{JavaRLE|c4greyship}}]] | ||
The first c/4 orthogonal spaceship, [[119P4H1V0]] was discovered by [[Dean Hickerson]] in December | The first c/4 orthogonal spaceship, [[119P4H1V0]] was discovered by [[Dean Hickerson]] in December {{year|1989}}. Hickerson then found a small [[tagalong]] for this spaceship which could be attached in two different ways. These three spaceships were the only known c/4 orthogonal spaceships until [[Hartmut Holzwart]] discovered [[163P4H1V0]] in July {{year|1992}}. The searches conducted by Holzwart also turned up the first method of creating arbitrarily large c/4 orthogonal spaceships by repeatedly attaching a tagalong to the back of [[103P4H1V0]]. Holzwart also found the first orthogonal [[Types_of_spaceships#Non-monotonic_spaceship|non-monotonic]] spaceship, [[non-monotonic spaceship 1]], during this search. In May {{year|1996}} [[Tim Coe]] discovered [[46P4H1V0]], which was the smallest known spaceship of this speed until April 2012, when [[Josh Ball]] discovered [[37P4H1V0]]. From February to March {{year|2006}}, Hartmut Holzwart found several ways to create c/4 orthogonal [[greyships]]. | ||
The first higher [[period]] c/4 orthogonal spaceship was discovered by [[David Bell]] in September | The first higher [[period]] c/4 orthogonal spaceship was discovered by [[David Bell]] in September {{year|2000}}. It had a period of {{periodS|20|brief}} and consisted of a [[block]] [[puffer]] found by [[Jason Summers]] and a side [[spark]]er used to delete the blocks. In the following month Summers found period {{periodS|8|brief}} and {{periodS|12|brief}} spaceships based off of a failed [[blinker]] puffer and a spaceship with a forward [[polyomino#domino|domino]] spark. Several other periods were achieved by [[perturb]]ing the output of a period 168 puffer discovered by [[Paul Tooke]] in November {{year|2003}}. | ||
==Puffers== | ==Puffers== | ||
Jason Summers found the first c/4 orthogonal puffer, which had period 9732 and was extremely [[dirty]], in January | Jason Summers found the first c/4 orthogonal puffer, which had period 9732 and was extremely [[dirty]], in January {{year|1999}}. In November 2003 Paul Tooke discovered a versatile period 168 puffer the output of which could be perturbed by sparkers to produce puffers of lower periods. | ||
===Rakes=== | ===Rakes=== | ||
| Line 15: | Line 23: | ||
==Wickstretchers== | ==Wickstretchers== | ||
c/4 orthogonal was the first speed known to contain a wickstretcher, [[wickstretcher 1]]. It was discovered by Hartmut Holzwart in October | c/4 orthogonal was the first speed known to contain a wickstretcher, [[wickstretcher 1]]. It was discovered by Hartmut Holzwart in October {{year|1992}} and stretched [[ants]] from an ant stabilizer found by Dean Hickerson. | ||
==Guns== | |||
The first c/4 orthogonal spaceship for which a complete [[glider synthesis]] was found was [[46P4H1V0]] by [[Tanner Jacobi]] and [[Martin Grant]] on Febuary 4, {{year|2019}} with 105 [[glider]]s.<ref name="post69591" /> This was later reduced to 88 gliders with a [[repeat time]] of 572 ticks due to optimizations by various people.<ref name="post70272" /> [[Goldtiger997]] constructed a 46P4H1V0 [[gun]] based on this optimized synthesis on October 22.<ref name="post84423" /> | |||
==See also== | ==See also== | ||
*[[c/4 diagonal]] | *[[c/4 diagonal]] | ||
*[[:Category:speeds|List of important speeds]] | *[[:Category:speeds|List of important speeds]] | ||
*[[:Category:Spaceships with speed c/4|List of spaceships with speed c/4]] | |||
*[[:Category:Waves with speed c/4|List of waves with speed c/4]] | |||
==References== | ==References== | ||
<references> | |||
<ref name="post69591">{{LinkForumThread | |||
|format = ref | |||
|author = Martin Grant | |||
|date = February 4, 2019 | |||
|p = 69591 | |||
|title = Re: Small Spaceship Syntheses | |||
}}</ref> | |||
<ref name="post70272">{{LinkForumThread | |||
|format = ref | |||
|author = Matthias Merzenich | |||
|date = February 10, 2019 | |||
|p = 70272 | |||
|title = Re: Small Spaceship Syntheses | |||
}}</ref> | |||
<ref name="post84423">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Stable signal converters | |||
|p = 84423 | |||
|author = Goldtiger997 | |||
|date = October 22, 2019 | |||
}}</ref> | |||
</references> | |||
*Stephen Silver's ''ships'' pattern collection | *Stephen Silver's ''ships'' pattern collection | ||
*Jason Summers' ''Status of Life page'' | *Jason Summers' ''Status of Life page'' | ||
*{{CiteSummersPattern|name=jslife}} | *{{CiteSummersPattern|name=jslife}} | ||
==External links== | |||
{{LinkLexicon|lex_c.htm#c4spaceship|name=c/4 spaceship}} | |||
{{DISPLAYTITLE:c/4 orthogonal}} | {{DISPLAYTITLE:c/4 orthogonal}} | ||
Revision as of 02:50, 31 December 2019
| c/4 orthogonal | ||
| ||
| Spaceship | Yes | |
|---|---|---|
| Puffer | Yes | |
| Rake | Yes | |
| Wickstretcher | Yes | |
| Gun | Yes | |
c/4 orthogonal is an orthogonal speed that is equivalent to one fourth of the speed of light.
Spaceships
Download RLE: click here
The first c/4 orthogonal spaceship, 119P4H1V0 was discovered by Dean Hickerson in December 1989. Hickerson then found a small tagalong for this spaceship which could be attached in two different ways. These three spaceships were the only known c/4 orthogonal spaceships until Hartmut Holzwart discovered 163P4H1V0 in July 1992. The searches conducted by Holzwart also turned up the first method of creating arbitrarily large c/4 orthogonal spaceships by repeatedly attaching a tagalong to the back of 103P4H1V0. Holzwart also found the first orthogonal non-monotonic spaceship, non-monotonic spaceship 1, during this search. In May 1996 Tim Coe discovered 46P4H1V0, which was the smallest known spaceship of this speed until April 2012, when Josh Ball discovered 37P4H1V0. From February to March 2006, Hartmut Holzwart found several ways to create c/4 orthogonal greyships.
The first higher period c/4 orthogonal spaceship was discovered by David Bell in September 2000. It had a period of 20 and consisted of a block puffer found by Jason Summers and a side sparker used to delete the blocks. In the following month Summers found period 8 and 12 spaceships based off of a failed blinker puffer and a spaceship with a forward domino spark. Several other periods were achieved by perturbing the output of a period 168 puffer discovered by Paul Tooke in November 2003.
Puffers
Jason Summers found the first c/4 orthogonal puffer, which had period 9732 and was extremely dirty, in January 1999. In November 2003 Paul Tooke discovered a versatile period 168 puffer the output of which could be perturbed by sparkers to produce puffers of lower periods.
Rakes
The lowest period c/4 orthogonal rakes are based on Paul Tooke's p168 puffer. A method of rake construction is also known for all periods above about 800.
Wickstretchers
c/4 orthogonal was the first speed known to contain a wickstretcher, wickstretcher 1. It was discovered by Hartmut Holzwart in October 1992 and stretched ants from an ant stabilizer found by Dean Hickerson.
Guns
The first c/4 orthogonal spaceship for which a complete glider synthesis was found was 46P4H1V0 by Tanner Jacobi and Martin Grant on Febuary 4, 2019 with 105 gliders.[1] This was later reduced to 88 gliders with a repeat time of 572 ticks due to optimizations by various people.[2] Goldtiger997 constructed a 46P4H1V0 gun based on this optimized synthesis on October 22.[3]
See also
- c/4 diagonal
- List of important speeds
- List of spaceships with speed c/4
- List of waves with speed c/4
References
- ↑ Martin Grant (February 4, 2019). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (February 10, 2019). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
- ↑ Goldtiger997 (October 22, 2019). Re: Stable signal converters (discussion thread) at the ConwayLife.com forums
- Stephen Silver's ships pattern collection
- Jason Summers' Status of Life page
- Jason Summers' jslife pattern collection.
External links
- c/4 spaceship at the Life Lexicon