c/4 diagonal

c/4 diagonal
Spaceship	Yes
Puffer	Yes
Rake	Yes
Wickstretcher	Yes
Gun	Yes

c/4 diagonal is a diagonal speed that is equivalent to one fourth of the speed of light.

Spaceships

c/4 diagonal was the first spaceship speed to be discovered when Richard Guy found the glider in 1970. The glider was the only known c/4 diagonal spaceship until Dean Hickerson's searches discovered the big glider in December 1989. Robert Wainwright then found a few small tagalongs for this spaceship, including one that could connect two or more big gliders, giving arbitrarily large c/4 diagonal spaceships. Since then many c/4 diagonal spaceships have been found, and there has been a continual search for the second smallest spaceship of this speed, the current record holder being crab, with 25 cells. Of particular note are those spaceships that produce sparks, such as Tim Coe's swan. The first higher period c/4 diagonal spaceship used two swans to pull a period-8 tagalong and was discovered by Jason Summers in November 2000. In September 2005 Hartmut Holzwart found a c/4 diagonal period-12 spaceship. There is a severe lack of higher period c/4 diagonal spaceship technology until period 4508, for which David Bell in October 2005 constructed a rake with an adjustable period of 4508 + 32N, which can easily be turned into a spaceship by deleting the outgoing glider with a swan.

Puffers

The first c/4 diagonal puffer was discovered by Hartmut Holzwart on February 9, 2004, which creates a tub and beehive every 28 generations. On September 30, 2005 Jason Summers constructed a period 4284 puffer that was the basis of David Bell's adjustable rake. Additional low-period puffers were found by praosylen in October 2019 and March 2020.

x = 84, y = 60, rule = b3/s23 74b2o6b2o$73b2o4b2obob$74bobo2b2o3b$74bobo2b2o3b$69b3o4bo7b$69bo14b$ 72b5o7b$69bo3b4o7b$70bob4o8b$71bo12b$63b3o18b$63bo2b3ob3o11b$64bobo17b $66bo3b2o12b$63b3o4bobo11b$63b2o5bo13b$66b3obo13b$61b2o3bo17b$61b2o3bo 17b$61bo3bo18b$62b2obo18b$59b5o20b$54b3obo2bo22b$54bo2bo2bo23b$57bo26b $53bo30b$50b5obo27b$50bo33b2$50bo33b$50bobo31b$33bo16bobo31b$32b2o14bo 2bo32b$32bobo6bo3bo2bo35b$30bobo8bo2b4o3bo32b$29b4obo3b2obobo2bo2b2o 33b$29bob5ob2o5bo39b$27b2o9bo45b$23bobob2o2b3o6bobo41b$21b2obo6b3o6b2o 42b$20b2ob9o9bo42b$21bo3b5o54b$18b3o63b$18bo2bo62b$18bobo9bo53b$12b2o 2b2o11bobo52b$11b2o5bo11bo5b2o46b$12bobo3bo16bo2bo45b$12b2ob3o18b2o46b $12b3o69b2$37bo46b$13bo22bobo45b$10bob2o23bo5b2o39b$9b3o30bo2bo38b$2o 6b3o32b2o39b$obo3b2o76b$o5b3o75b$3bo80b$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 800 THUMBSIZE 2 THUMBZOOM 8 ]]

c/4 diagonal puffer 1 (click above to open LifeViewer) RLE: here Plaintext: here

Rakes

On October 14, 2005 David Bell constructed an adjustable period sideways rake with period 4508 + 32N based on Jason Summers' period 4284 puffer.

p116 c/4d technology

A period 116 puffer was discovered by Keith Amling in November 2023. Adding one glider to the engine releases a glider output. Multiple period-116 spaceships, rakes and puffers were discovered in the following days. A period 230376 diagonal c/4 spaceship was completed by David Bell on December 5, 2023, and a period 197316 version was completed on the next day. A sawtooth with a minimum repeating population of 70079 was completed by David Bell on December 7, 2023.

Wickstretchers

Hartmut Holzwart discovered the first c/4 diagonal wickstretcher, boatstretcher 1, on June 1, 1993. Holzwart also found a c/4 diagonal linestretcher on November 19, 2004. An incomplete wickstretcher was found by Paul Tooke in September 2004 for a period 6 wick, and in January 2013, Jason Summers and Matthias Merzenich found a stationary termination that completes the wickstretcher. In October 2004 Hartmut Holzwart found a c/4 diagonal eater for this wick.

x = 59, y = 59, rule = B3/S23 39bo$38b2o$38bobo2$41b2o$41b2o$32b3o$32bo3b2ob2o$35bob3obo$32bo3b3o2bo $27b2o4bobo$26b2o6bo$28bo10bo2bo$30bo3b2o6bo10b2o$23b2o4b3o2bo3bo4bo9b 2o2b2o$22b2o4bo5b2o2b2o2bobo6b2obo2b2o$24bo2b2obo3bo8bob2o4b3o$26b2o2b o2$26bobo14bo2bo5b2o$26bo16b2o3b2o2b2o$25b3o20bo$15bo11bo19b3o$14b2o7b 2o$14bobo6b2o2bo$21bo25b3o$11bo5bob3o4b2obo11b2o5bo$10b2o4b2o3b2obobo 3bo6b2o2b2o5bo$10bobo2b2o2bo17b2o2bob2o3bo$14bo11bo2b2obo9b3o3bo$13b2o b2o9bobo3bo14b2o$14bo$6b2obo19bo2b2obo6b2o$6bo3bo19bobo3bo5b2o4b2o$6bo 4bob4o31bo$8bobo2bobo16bo2b2obo9bo$7bobo23bobo3bo7bo$7b3o17b2o17bobo$b 2o5b2o4b2o11b2o6bo2b2obo3b2obo$2o5b2o3bo2bo20bobo3bo5bo$2bo4bo39bo$4b 2o2b2o16b3o9bo2b2obo2bo$4b2o6b2obo10b2obo2b2o5bobob2o$14bobo2b2o7b2o2b 2o8bo$15bo4bo7b2o11b2o$16bo21bo$16bo2bo17b2o$22bo2bo10bo3b2o$20b3o2b6o 2b3ob3o$20bobo2bo4bo2bo2$15b2o$15b2o2b2o$13b2obo2b2o$13b3o3$14b2o$14b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 800 THUMBSIZE 2 THUMBZOOM 10 ]]

c/4 diagonal wickstretcher for a period-6 wick (click above to open LifeViewer) RLE: here Plaintext: here

x = 173, y = 94, rule = B3/S23 7b3o$7bo$8bo$10b2o$9b2o2$8bo$2o7bo$obo3bo3b2o$o3bo2bo3b2o$3b2o3bo6b2o$3bo4b2o3bob2o4bo$9bo3bo4b2obo$11b2o9bo$19b3o$10b2o4bo4b2o$10b2o3bo6b2o$26bo$12bo8b2o2b2obo$12bobo5b2obo3b2o100b2o6b2o$14bo4b2o2bo5bo98b2o4b2obo$11b2ob2o2b2o3b2o3bo100bobo2b2o$13bob2obo3bo2bo4bo98b3o2b2o$16bo2b3o5b2obob2o89b2ob2ob3o$21bo6b2o4bo83b2o3bob3o$18bo3bo10bobo82bobo2bo$17b2o10b4o2b3o80bo7bo2bo$19bo3bo4b3o4bo85bo4bo2bo$18b2obob2o2bo10bo75b2o5b3o$20bo3bob2o7bobo51b3o21b2o5bo2bo44b3o$22b2o2b2o9bob2o48bo25bo3b2o47bo$26bo11bo2bo29b2o17bo26b5o28b2o17bo$23bo2bo10bo32b2o20b2o22bo2bo29b2o20b2o$23bobo15bo30bo20bo25bo31bo20bo$24bo49b2o32bo44b2o$25b3obo9bobo31bo14bo18b2o9bobo31bo14bo$26bo11b2obo23b2o19bob5o14bobo7b2obo23b2o19bob5o$26bo2b2obo4b2o26bo2b2o2bo2bo9b2o4b2o18bo4b2o26bo2b2o2bo2bo9b2o4b2o$28bo2bo4b3o26bob3o2bo13b2o22bo4b3o26bob3o2bo13b2o$30bo4b2o3b3o23bo4bo2bo5b3o2bo17b3o4bo3b2o3b3o23bo4bo2bo5b3o2bo$30bo8b3o24bo6bo6bo2b2o2bo15bo5b4o5b3o24bo6bo6bo2b2o2bo$31bobob2o2b3o24bo2bo11b2ob5o15bo3b3o3b2o2b3o24bo2bo11b2ob5o$39bo3b3o32b5ob2ob2o17b2o2bo7bo3b3o32b5ob2ob2o$42b3o21bo10b2o2bo25bo13b3o21bo10b2o2bo$42b3o21b3o10bo22b3o2b2o12b3o21b3o10bo$42bo3b3o15b2o13b2o2b3o16bo18bo3b3o15b2o13b2o2b3o$45b3o16bo2b2o9b2obo21bo20b3o16bo2b2o9b2obo$45b3o16bo16bo3bo16b2ob2o17b3o16bo16bo3bo$45bo3b3o13b2obo7b2ob3obo18b2o20bo3b3o13b2obo7b2ob3obo$48b3o14bo2bo7b2o21bo27b3o14bo2bo7b2o$48b3o13b2obo9b2o19b5o2b2o20b3o13b2obo9b2o$48bo3b3o5b3ob3o6b2ob2o20bo2b2o24bo3b3o5b3ob3o6b2ob2o$51b3o6bo2bobo6b3ob2o22b3o27b3o6bo2bobo6b3ob2o$51b3o7bo2b2o4b2o4bo53b3o7bo2b2o4b2o4bo$51bo3b3o6b2o4bo2b2o55bo3b3o6b2o4bo2b2o$54b3o3b3obo5b2o27b3o31b3o3b3obo5b2o$54b3o2bo2b2ob3ob3ob2o24b3o31b3o2bo2b2ob3ob3ob2o$54bo3bo11bo3bo58bo3bo11bo3bo$57b3o2bo3bo4bo26b2o36b3o2bo3bo4bo$56bob2o7bo3bo26bo36bob2o7bo3bo$51b2o2bo14bo59b2o2bo14bo$51bobobo74bobobo$51bo3b2obo71bo3b2obo$52bo3bo74bo3bo$45b3o2b2ob3o68b3o2b2ob3o$36b3o6bo2b7obo58b3o6bo2b7obo$36bo2b3ob2o3bo2bo4bobo56bo2b3ob2o3bo2bo4bobo$38bo5bobo3bo5bo2bo57bo5bobo3bo5bo2bo$37b2o5bobob2o66b2o5bobob2o$37b2o2bo14bo59b2o2bo14bo$32bo20b5o2bo50bo20b5o2bo$31b2o6bo13bob2ob2o50b2o6bo13bob2ob2o$31bobo3b2o13bo57bobo3b2o13bo$35bo4bo10b2obobo57bo4bo10b2obobo$34bo4bo11b2obob2o55bo4bo11b2obob2o$34bo2bo75bo2bo$48b2ob3o73b2ob3o$43bo4b5o69bo4b5o$42b2o2bo3bo70b2o2bo3bo$42bob3obo72bob3obo$39b2obo2bo2bo69b2obo2bo2bo$39bob3o2b3o69bob3o2b3o$39bob2o75bob2o$40bo4bo2bo70bo4bo2bo$40b3o2bo73b3o2bo$37bobob2o2bobo68bobob2o2bobo$36b3o2bo73b3o2bo$38bob3o74bob3o$35b2o4b2o71b2o4b2o$29b2o5bo71b2o5bo$29bobo4bo71bobo4bo$29bo6b2o70bo6b2o$32bo3b2o73bo3b2o$32b2o77b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 1200 THUMBSIZE 2 THUMBZOOM 6 ]]

Holzwart's backend with two different frontends. (click above to open LifeViewer)

Guns

Many glider guns have been made that shoot gliders, however no gun was constructed for any other c/4 diagonal spaceship before December 2014, when refinement of the glider synthesis of the crab enabled a period-120 gun to be completed.

See also

• c/4 orthogonal
• Spaceships with speed c/4 (category)
• Speeds (category)

External links

• c/4 spaceship at the Life Lexicon
• Jason Summers' jslife pattern collection.
• New 2c/4 and Diagonal c/4 Spaceships at Game of Life News. Posted by Heinrich Koenig on December 17, 2004.
• New c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on August 03, 2005.
• More new c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on August 21, 2005.
• More new c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on September 07, 2005.
• More new c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on September 19, 2005.
• More new c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on October 06, 2005.
• New c/4 Diagonal Spaceships at Game of Life News. Posted by Heinrich Koenig on December 10, 2006.