c/4 orthogonal is an orthogonal speed that is equivalent to one fourth of the speed of light .
Spaceships
See also category Spaceships with speed c/4
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 (shown below) 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 (shown below). 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 (one shown below).
x = 40, y = 17, rule = B3/S23
20bo$7b2o8b4o8b2o$7bo2b3o2b4o5b4obo$6bo7b2o2bo4bo7bo5bo$5b4obobo3bo2bo
4b2o4b4obo2b2o$5b2o8bo2b2obo2bo2bobobob3o$4bo10b2obo9bo2bo$b3obo5bobo
5bobob3o6b2o$o2bo7bo9bob3o$b3obo5bobo5bobob3o6b2o$4bo10b2obo9bo2bo$5b
2o8bo2b2obo2bo2bobobob3o$5b4obobo3bo2bo4b2o4b4obo2b2o$6bo7b2o2bo4bo7bo
5bo$7bo2b3o2b4o5b4obo$7b2o8b4o8b2o$20bo!
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163P4H1V0 discovered by Hartmut Holzwart in 1992(click above to open LifeViewer ) RLE : here Plaintext : here
x = 27, y = 15, rule = B3/S23
10b2o$5b3o2b3o$7bo2b2obobo4bo$5b2o5b3o6bo$b2o2bo2b3obo3b4obo4bo$2ob2o
5bo4b2o3b3obobo$bo3bo9bo8bobo$2o3bo$bo3bo9bo8bobo$2ob2o5bo4b2o3b3obobo
$b2o2bo2b3obo3b4obo4bo$5b2o5b3o6bo$7bo2b2obobo4bo$5b3o2b3o$10b2o!
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103P4H1V0: repeatedly attaching a tagalong can produce arbitrarily large c/4 orthogonal spaceships(click above to open LifeViewer ) RLE : here Plaintext : here
x = 177, y = 183, rule = B3/S23
6bo$5bobo$7bo$4b2o$3b3o$2b2o3bo$6bobo$4bo2b2o$5b2o$5bo2$6b2o$bobobo2bo
33bo$bo3b3obo30b4o$bobob2o33b4o$6b2o28bo2b2o$8bo27b2o$5bo2bo27bo3b2o$
4bo34b3o$3b3o34b2o$2bo3b2o31b2o2bo$40b2o$3b2o$5bobo32b2o$7bo31b2o2bo$
6bo33b2o$7b4o25b3ob2o$11bo19bo9bo4b2o$30bo3bo4bo5b2o$8b2o7bo11b2o3b3o
2b7o2bo$8b2o2bobobobo5b2o2bobo14bo3bo2b2o$8b2o3b2obobo4b3o2b2ob14ob2ob
o2bobo$9b2o2bo2bob2o2bo7bo18bo2b2o$14b2ob3o3bobo3b21o2bo$19bo2b2o30bo
2b2o$20b3ob29ob3o2bo$24bo29b4o$25b30o2bo$57bobob3o$25b32o$24bo37b2o$
17b4obob36o2bo4bo$17bo2b4o38b2o3bo$24b38o4bo$17b3o43bo3b2o$24b40o2bo$
17bo2b4o43b2o2b2o$17b4obob43obo2bobo$24bo43bo2b2o$25b44o2bo$73bo2b2o$
25b47ob3o2bo$24bo48b4o$17b4obob50o2bo$17bo2b4o52bobob3o$24b52o$17b3o
61b2o$24b55o2bo4bo$17bo2b4o57b2o3bo$17b4obob57o4bo$24bo57bo3b2o$25b58o
2bo$86b2o2b2o$25b61obo2bobo$20b2o2bo62bo2b2o$14b2o3bob3ob63o2bo$9b3o2b
4o4b2o68bo2b2o$11bo2b4o3b3ob66ob3o2bo$9b2o5b2o6bo67b4o$5b2o2bo2b3o4bob
o4b67o2bo$4b2ob2o5bo3bo2bo3bo69bobob3o$5bo3bo8bo2bo4b69o$4b2o3bo90b2o$
5bo3bo8bo2bo4b72o2bo4bo$4b2ob2o5bo3bo2bo3bo74b2o3bo$5b2o2bo2b3o4bobo4b
74o4bo$9b2o5b2o6bo76bo3b2o$11bo2b4o3b3ob77o2bo$9b3o2b4o4b2o81b2o2b2o$
14b2o3bob3ob80obo2bobo30bobo$20b2o2bo81bo2b2o29b2o3b2o$25b82o2bo30bobo
$111bo2b2o26bo$25b85ob3o2bo22bo15bobo$20b2o2bo86b4o24b2o3bo8b2o3b2o$
14b2o3bob3ob87o2bo30bo7bobo$9b3o2b4o4b2o90bobob3o21b2ob2o8bo$11bo2b4o
3b3ob89o29bob2o5bo$9b2o5b2o6bo94b2o21b2obo6b2o3bo$5b2o2bo2b3o4bobo4b
91o2bo4bo20bo12bo$4b2ob2o5bo3bo2bo3bo93b2o3bo16bo2bo10b2ob2o$5bo3bo8bo
2bo4b93o4bo17bo2b2o10bob2o$4b2o3bo110bo3b2o16b2o11b2obo$5bo3bo8bo2bo4b
95o2bo34bo$4b2ob2o5bo3bo2bo3bo98b2o2b2o24bo2bo$5b2o2bo2b3o4bobo4b98obo
2bobo9b3o11bo2b2o$9b2o5b2o6bo100bo2b2o12b3o10b2o$11bo2b4o3b3ob101o2bo
12bobo$9b3o2b4o4b2o106bo2b2o6bobo$14b2o3bob3ob104ob3o2bo5b2o10b3o$20b
2o2bo105b4o8bo12b3o$25b106o2bo20bobo$133bob2o2b2ob2o10bobo$25b108o6b2o
13b2o$24bo114b2o14bo$17b4obob112o4b2o$17bo2b4o113bobob2o9b2ob2o$24b
115o2bo10b2o$17b3o123bo2b2o4b2o$24b117o2bo2b2o5b2o$17bo2b4o120bo5bobob
2o14bobo$17b4obob128o2bo12b6o2b2o$24bo131bo2b2o4b4o5bo$25b129o2bo2b2o
4b2obobo$157bo5bo2bo$25b140o$24bo$17b4obob141o$17bo2b4o133bo5bo2bo$24b
130o2bo2b2o4b2obobo$17b3o136bo2b2o4b4o5bo$24b128o2bo12b6o2b2o$17bo2b4o
120bo5bobob2o14bobo$17b4obob117o2bo2b2o5b2o$24bo118bo2b2o4b2o$25b114o
2bo10b2o$35bo16bo16bo16bo16bo16bo16bobob2o9b2ob2o$8bobo14b6obo3b12obo
3b12obo3b12obo3b12obo3b12obo3b12obo5b2o$7bo2bo13bobo4b2o3bo2bo3bo4b2o
3bo2bo3bo4b2o3bo2bo3bo4b2o3bo2bo3bo4b2o3bo2bo3bo4b2o3bo2bo3bo4b2o4b2o
14bo$2b2obo2bo10b3ob2o3bo6b3o2bo4bo6b3o2bo4bo6b3o2bo4bo6b3o2bo4bo6b3o
2bo4bo6b3o2bo4bo8b2o13b2o$o4bo3b2o3bo4b2ob2o4b2o5bo5b2o2b2o5bo5b2o2b2o
5bo5b2o2b2o5bo5b2o2b2o5bo5b2o2b2o5bo5b2o2b2o7b2ob2o10bobo$o12bobo7b2o
129bobo$obob2o5bo9b3o11bobo14bobo14bobo14bobo14bobo14bobo19bo12b3o$3b
2o7b2ob2o3b2o12bo2bo13bo2bo13bo2bo13bo2bo13bo2bo13bo2bo18b2o10b3o$5b2o
5bo3b2ob3o11b3o14b3o14b3o14b3o14b3o14b3o20bobo$18b3o120bobo$18bo14b2o
15b2o15b2o15b2o15b2o15b2o22b3o10b2o$33b3o14b3o14b3o14b3o14b3o14b3o19b
3o11bo2b2o$30b2o15b2o15b2o15b2o15b2o15b2o37bo2bo$30bobo14bobo14bobo14b
obo14bobo14bobo40bo$30bobo14bobo14bobo14bobo14bobo14bobo24b2o11b2obo$
32b2o15b2o15b2o15b2o15b2o15b2o22bo2b2o10bob2o$29b2ob2o12b2ob2o12b2ob2o
12b2ob2o12b2ob2o12b2ob2o22bo2bo10b2ob2o$28b3obo12b3obo12b3obo12b3obo
12b3obo12b3obo27bo12bo$29bobo2bo11bobo2bo11bobo2bo11bobo2bo11bobo2bo
11bobo2bo22b2obo6b2o3bo$28b3ob2obo9b3ob2obo9b3ob2obo9b3ob2obo9b3ob2obo
9b3ob2obo22bob2o5bo$33bo16bo16bo16bo16bo16bo23b2ob2o8bo$27b2ob2obo10b
2ob2obo10b2ob2obo10b2ob2obo10b2ob2obo10b2ob2obo26bo7bobo$27b2o2bob2o9b
2o2bob2o9b2o2bob2o9b2o2bob2o9b2o2bob2o9b2o2bob2o19b2o3bo8b2o3b2o$28bob
2ob2o10bob2ob2o10bob2ob2o10bob2ob2o10bob2ob2o10bob2ob2o19bo15bobo$28bo
b2o13bob2o13bob2o13bob2o13bob2o13bob2o25bo$27b2ob2o12b2ob2o12b2ob2o12b
2ob2o12b2ob2o12b2ob2o23bobo$29bo16bo16bo16bo16bo16bo25b2o3b2o$29bo16bo
16bo16bo16bo16bo27bobo$30bo3bobo10bo3bobo10bo3bobo10bo3bobo10bo3bobo
10bo3bobo$28bo2bo13bo2bo13bo2bo13bo2bo13bo2bo13bo2bo$27bo3bobo2bo7bo3b
obo2bo7bo3bobo2bo7bo3bobo2bo7bo3bobo2bo7bo3bobo2bo$28bo5b2o9bo5b2o9bo
5b2o9bo5b2o9bo5b2o9bo5b2o$29b2obo13b2obo13b2obo13b2obo13b2obo13b2obo$
34bobo14bobo14bobo14bobo14bobo14bobo$33bo16bo16bo16bo16bo16bo$28bo3b2o
2bo8bo3b2o2bo8bo3b2o2bo8bo3b2o2bo8bo3b2o2bo8bo3b2o2bo$28bo4b2o10bo4b2o
10bo4b2o10bo4b2o10bo4b2o10bo4b2o$27b2o2bo12b2o2bo12b2o2bo12b2o2bo12b2o
2bo12b2o2bo$28bob2o13bob2o13bob2o13bob2o13bob2o13bob2o$28bob2o13bob2o
13bob2o13bob2o13bob2o13bob2o$28bob2o13bob2o13bob2o13bob2o13bob2o13bob
2o$27b2o2bo12b2o2bo12b2o2bo12b2o2bo12b2o2bo12b2o2bo$28bo16bo16bo16bo
16bo16bo$28bo3b2o11bo3b2o11bo3b2o11bo3b2o11bo3b2o11bo3b2o$32b2o15b2o
15b2o15b2o15b2o15b2o$33bo2bo13bo2bo13bo2bo13bo2bo13bo2bo13bo2bo2$33bob
2o13bob2o13bob2o13bob2o13bob2o13bob2o$33bo3bo12bo3bo12bo3bo12bo3bo12bo
3bo12bo3bo$33b3o14b3o14b3o14b3o14b3o14b3o$34b2obo13b2obo13b2obo13b2obo
13b2obo13b2obo2$36bo16bo16bo16bo16bo16bo$36bo16bo16bo16bo16bo16bo$34b
2o15b2o15b2o15b2o15b2o15b2o$35bobo14bobo14bobo14bobo14bobo14bobo$36bo
16bo16bo16bo16bo16bo!
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A greyship created by Hartmut Holzwart using several methods of stabilization(click above to open LifeViewer ) RLE : here Plaintext : here
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 February 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]
Waves
The following is an example of a c/4 orthogonal wave that can be supported by various spaceships. This one was found by Bullet51 on March 19, 2016 :[4]
4bo$3bobo$2bo4bo6bo$3o4bo5bobo$2o2b2obo4bo4bo6bo$2o4bo3b3o4bo5bobo$5bo
4b2o2b2obo4bo4bo6bo$6bo3b2o4bo3b3o4bo5bobo$15bo4b2o2b2obo4bo4bo6bo69bo
$16bo3b2o4bo3b3o4bo5bobo67b3o$25bo4b2o2b2obo4bo4bo6bo58b3o$26bo3b2o4bo
3b3o4bo5bobo59bo$35bo4b2o2b2obo4bo4bo6bo47b4o$36bo3b2o4bo3b3o4bo5bobo
45bobob2o$45bo4b2o2b2obo4bo4bo6bo36bo$46bo3b2o4bo3b3o4bo5bobo36bo$55bo
4b2o2b2obo4bo4bo6bo31b3o$56bo3b2o4bo3b3o4bo5bobo30b3o$65bo4b2o2b2obo4b
o4bo6bo20bobo$66bo3b2o4bo3b3o4bo5bobo16bobo$75bo4b2o2b2obo4bo4bo6bo7bo
$76bo3b2o4bo3b3o4bo5bobo5bo2bo$85bo4b2o2b2obo4bo4bo5b2o$86bo3b2o4bo3b
3o4bo4b3o$95bo4b2o2b2obo$96bo3b2o4bo3bobo$105bo4bo$106bo3b2o3bo$111bo
3b2o$112bo3bo$112bobo$115bo$113bo2b2o$113bo4bo$118bo$115b2o$116bo$116b
o2bo$115bo2bo2$114bo3bo$114b2ob2o3$115b3o!
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A c/4 orthogonal wave(click above to open LifeViewer ) RLE : here Plaintext : here
See also
References
External links