G-to-X (November 2023)

From LifeWiki
Revision as of 04:53, 25 January 2024 by Haycat2009 (talk | contribs) (See also: Add it)
Jump to navigation Jump to search
This article is a stub. You can help LifeWiki by expanding it.

A stable "glider-to-chaos" mechanism was discovered in November 2023, based on a partial result by Mitchell Riley.[1] The base reaction involves a transparent bait block, a transparent beehive, an eater 1 and a large catalyst, and produces a certain "pi+block" collision as output (with a leftover beehive that can be suppressed).

Shortly after discovery, several stable reflectors[1][2][3][4][5][6] and conduits[1][7][4][8][9] were completed with this mechanism as the first stage.

The "instant disappearance" repeat time (assuming the output pi+block is removed as soon as it forms) is 90 ticks; several known completions keep the same repeat time.

Modifications

x = 25, y = 33, rule = B3/S23 7b2o$6bo2bo$7b2o8$o$b2o$2o6$20b2o$18bo2bo$18b3o2$8b2o8b2obob2o$8b2o9bo b2obo$2b2o15bo$3bo7b2o3b2obo$3o7bo2bo3bob2o$o8bob2o3bo$9bo5bo$10b6obo$ 12bo3bobo$15bo2bo$16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 10 X 0 Y -4 GPS 20 AUTOSTART T 0 PAUSE 2 T 108 PAUSE 1 T 137 PAUSE 1 LOOP 138 ]]
The base reaction. This variant of the large catalyst has a known glider synthesis[10]
(click above to open LifeViewer)
Catagoluehere
x = 65, y = 33, rule = B3/S23 7b2o38b2o$6bo2bo36bo2bo$7b2o38b2o3$63b2o$63b2o3$19b2o$o18bo20bo$b2o17b 3o18b2o$2o20bo17b2o6$20b2o38b2o$18bo2bo36bo2bo$18b3o37b3o2$8b2o8b2obob 2o23b2o8b2obob2o$8b2o9bob2obo23b2o9bob2obo$2b2o15bo22b2o15bo$3bo7b2o3b 2obo23bo7b2o3b2obo$3o7bo2bo3bob2o19b3o7bo2bo3bob2o$o8bob2o3bo23bo8bob 2o3bo$9bo5bo33bo5bo$10b6obo32b6obo$12bo3bobo33bo3bobo$15bo2bo36bo2bo$ 16b2o38b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 700 THUMBSIZE 2 ZOOM 8 X 0 Y -10 GPS 20 ]]
Left: beehive suppressed with an eater 1;[7] right: beehive suppressed with a block[1]
(click above to open LifeViewer)


Beehive factory

If the transparent beehive is removed, what is left is a glider-to-beehive factory with high clearance and toggle functionality.[11]

x = 65, y = 30, rule = B3/S23 47bo$46bobo$46bobo$47bo4$o39bo$b2o38b2o$2o38b2o6$20b2o38b2o$18bo2bo36b o2bo$18b3o37b3o2$8b2o8b2obob2o23b2o8b2obob2o$8b2o9bob2obo23b2o9bob2obo $2b2o15bo22b2o15bo$3bo7b2o3b2obo23bo7b2o3b2obo$3o7bo2bo3bob2o19b3o7bo 2bo3bob2o$o8bob2o3bo23bo8bob2o3bo$9bo5bo33bo5bo$10b6obo32b6obo$12bo3bo bo33bo3bobo$15bo2bo36bo2bo$16b2o38b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 800 THUMBSIZE 2 ZOOM 10 GPS 20 AUTOSTART T 0 PAUSE 2 T 122 PAUSE 1 LOOP 123 ]]
A beehive factory with toggle functionality[11]
(click above to open LifeViewer)

This beehive factory has the property of being a safe toggle switch. A second glider following on the same input lane will cleanly destroy the beehive created by the previous glider. The state of the toggle can be read by sending a glider on any of several perpendicular transparent lanes, so that the glider cleanly deletes the beehive if it is present but passes through if the beehive is absent. (A block factory with similar toggle functionality is shown in Speed tunnel#Glider-to-block.)

Completions

Reflectors

x = 44, y = 73, rule = B3/S23 37bo$35b3o$34bo$34b2o3$bo$b3o$4bo$3b2o2$7b2o$7b2o2$2o$2o4$3b2o$4bo$b3o $bo9$37b2obo$37b2ob3o$43bo$37b2ob3o$38bobo$38bobo$39bo2$5bo$6bo15b2o$ 4b3o14bo2bo$22b2o3$38b2o$38b2o10$38bo$36b3o$35bo$33bo2bo$33b4o2$23b2o 8b2o$23b2o9bo$17b2o15bob2o$18bo7b2o3b2obo2bo$15b3o7bo2bo3bob2o$15bo8bo b2o3bo$24bo5bo$25b6obo$27bo3bobo$30bo2bo$31b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
G → 2G (glider duplicator)[3]
(click above to open LifeViewer)


90°

x = 38, y = 58, rule = B3/S23 25bo$23b3o$22bo$12b2o8b2o$12b2o18b2o$32bo$34bo$30b5o$30bo4b2o$33b2o2bo $34bob2o$34bo$33b2o3$9b2o$8bobo$8bo$7b2o6$bo$2bo15b2o$3o14bo2bo$18b2o 3$34b2o$34b2o10$34bo$32b3o$31bo$29bo2bo$29b4o2$19b2o8b2o$19b2o9bo$13b 2o15bob2o$14bo7b2o3b2obo2bo$11b3o7bo2bo3bob2o$11bo8bob2o3bo$18b3o5bo$ 17bo4b5obo$17b2o4bo3bobo$21bo4bo2bo$21b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
90° reflector[1]
(click above to open LifeViewer)
x = 37, y = 75, rule = B3/S23 19b2o$19bobo$21bo2b2o$20b2obobo$23bo$23b2o7$29bo$27b3o$26bo$26b2o6$29b 2o$29b2o8$33b2o$33bobo$35bo$35b2o3$12b2o$7b2o3b2o$6bobo$6bo$5b2o$bo$2b o15b2o$3o14bo2bo$18b2o3$34b2o$34b2o10$34bo$32b3o$31bo$29bo2bo$29b4o2$ 19b2o8b2o$19b2o9bo$13b2o15bob2o$14bo7b2o3b2obo2bo$11b3o7bo2bo3bob2o$ 11bo8bob2o3bo$18b3o5bo$17bo4b5obo$17b2o4bo3bobo$21bo4bo2bo$21b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
90° reflector[4]
(click above to open LifeViewer)
x = 38, y = 64, rule = B3/S23 25bo$23b3o$22bo$22b2o2$33b2o$33bo$31bobo$31b2o9$36bo$35bobo$36bo7$28b 2o$28b2o3$bo$2bo15b2o$3o14bo2bo$18b2o3$34b2o$34b2o10$34bo$32b3o$31bo$ 29bo2bo$29b4o2$19b2o8b2o$19b2o9bo$13b2o15bob2o$14bo7b2o3b2obo2bo$11b3o 7bo2bo3bob2o$11bo8bob2o3bo$20bo5bo$21b6obo$23bo3bobo$26bo2bo$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
90° reflector[12]
(click above to open LifeViewer)


180°

x = 41, y = 58, rule = B3/S23 11bo17bo$10bobo15bobo$11bo5b2o3b2o5bo$16bo2bobo2bo$17b2o3b2o8b2o$32b2o 8$37b2o$37bobo$39bo$39b2o8$bo$2bo15b2o$3o14bo2bo$18b2o3$34b2o$34b2o10$ 34bo$32b3o$31bo$29bo2bo$29b4o2$19b2o8b2o$19b2o9bo$13b2o15bob2o$14bo7b 2o3b2obo2bo$11b3o7bo2bo3bob2o$11bo8bob2o3bo$20bo5bo$21b6obo$23bo3bobo$ 26bo2bo$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
180° reflector, using a pi splitter variant[2][6]
(click above to open LifeViewer)
x = 40, y = 53, rule = B3/S23 11b2o26bo$11b2o24b3o$36bo$11b4o21b2o$10bo3bo$9bob2o$6bo2bobo$5bobobobo $5bobob2o$6bobo$8bo$8b2o8$bo$2bo15b2o$3o14bo2bo$18b2o3$34b2o$34b2o10$ 34bo$32b3o$31bo$29bo2bo$29b4o2$19b2o8b2o$19b2o9bo$13b2o15bob2o$14bo7b 2o3b2obo2bo$11b3o7bo2bo3bob2o$11bo8bob2o3bo$20bo5bo$21b6obo$23bo3bobo$ 26bo2bo$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
180° reflector[5]
(click above to open LifeViewer)


Converters

x = 38, y = 67, rule = B3/S23 13b2o$13bo$11b3o7$25bo$23b3o$22bo$13b2o7b2o$13b2o3$4b2o$4b2o3$36bo$35b obo$5b2o29bo$6bo$3b3o3b2o$3bo4bobo$8bo$7b2o6$bo$2bo15b2o$3o14bo2bo$18b 2o3$34b2o$34b2o10$34bo$32b3o$31bo$29bo2bo$29b4o2$19b2o8b2o$19b2o9bo$ 13b2o15bob2o$14bo7b2o3b2obo2bo$11b3o7bo2bo3bob2o$11bo8bob2o3bo$18b3o5b o$17bo4b5obo$17b2o4bo3bobo$21bo4bo2bo$21b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
G → H[1]
(click above to open LifeViewer)
x = 37, y = 72, rule = B3/S23 18bo$17bobo$17bob2o3$24b2o$24b2o$10b2o$10b2o$29bo$27b3o$26bo$26b2o6$ 29b2o$29b2o8$33b2o$33bobo$35bo$35b2o3$12b2o$7b2o3b2o$6bobo$6bo$5b2o$bo $2bo15b2o$3o14bo2bo$18b2o3$34b2o$34b2o10$34bo$32b3o$31bo$29bo2bo$29b4o 2$19b2o8b2o$19b2o9bo$13b2o15bob2o$14bo7b2o3b2obo2bo$11b3o7bo2bo3bob2o$ 11bo8bob2o3bo$18b3o5bo$17bo4b5obo$17b2o4bo3bobo$21bo4bo2bo$21b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
G → B[4]
(click above to open LifeViewer)
x = 45, y = 81, rule = B3/S23 32b2o$33bo$33b3o16$34b2o$34b2o2$41bob2o$41b2obo5$16b2o5b2o$16b2o5b2o$ 39bo$38bobo$39b2o5$6b2o$5bobo$5bo$4b2o4$13b2o$14bo$11b3o$11bo$bo$2bo 15b2o$3o14bo2bo$18b2o7$30b2o$30bo$31b3o$33bo6$31b2o$29bo2bo$29b3o2$19b 2o8b2obob2o$19b2o9bob2obo$13b2o15bo$14bo7b2o3b2obo$11b3o7bo2bo3bob2o$ 11bo8bob2o3bo$20bo5bo$21b6obo$23bo3bobo$26bo2bo$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
G → R+G[7] (followed by RF28B and BFx59H)
(click above to open LifeViewer)
x = 37, y = 60, rule = B3/S23 12bo15bo$12b3o11b3o$15bo9bo$6bo7b2o9b2o$5bobo10bo3bo$5bobo9bobobobo$3b 3ob2o8bobobobo$2bo15bo3bo$3b3ob2o$5bob2o5$5b2o$4bo$5b2o26b2o$6bo26bobo $35bo$35b2o7$bo$2bo15b2o$3o14bo2bo$18b2o3$34b2o$34b2o10$34bo$32b3o$31b o$29bo2bo$29b4o2$19b2o8b2o$19b2o9bo$13b2o15bob2o$14bo7b2o3b2obo2bo$11b 3o7bo2bo3bob2o$11bo8bob2o3bo$20bo5bo$21b6obo$23bo3bobo$26bo2bo$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
G → B[8]
(click above to open LifeViewer)
x = 36, y = 43, rule = B3/S23 11b2o$10bobo20bo$10bo21bobo$9b2o20b3o$31b3o5$bo$2bo15b2o$3o14bo2bo$18b 2o3$34b2o$34b2o10$34bo$32b3o$31bo$29bo2bo$29b4o2$19b2o8b2o$19b2o9bo$ 13b2o15bob2o$14bo7b2o3b2obo2bo$11b3o7bo2bo3bob2o$11bo8bob2o3bo$20bo5bo $21b6obo$23bo3bobo$26bo2bo$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
G → U-turner[9][13]
(click above to open LifeViewer)
x = 30, y = 62, rule = B3/S23 13b2o$13bobo$16bo2b2o$11b4obo3bo$10bo2bobob3o$10b2o3bobo$15bobob3o$16b 2obo2bo$21bobo$22bobob2o$24bobo$23b2obo$26bob2o$23b4o2bo$23bo3b2o$b2o 21b3o$o25bo$3o23bobo$27b2o8$6b2o$6b2o2$12b2o$11bo2bo$12b2o3$bo26b2o$2b o25b2o$3o11$25b2o$23bo2bo$23b3o2$13b2o8b2obob2o$13b2o9bob2obo$7b2o15bo $8bo7b2o3b2obo$5b3o7bo2bo3bob2o$5bo8bob2o3bo$14bo5bo$15b6obo$17bo3bobo $20bo2bo$21b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
G → Pi-heptomino[14]
(click above to open LifeViewer)
x = 25, y = 55, rule = B3/S23 11bo$9b3o$8bo$8b2o$16b2o$15bobo$15bo$14b2o2$14b2o$13bobo$14bo$15b3o$17b o3$16b2o$16b2o5$7b2o$6bo2bo$7b2o3$23b2o$23b2o4$o$b2o$2o6$20b2o$18bo2b o$18b3o2$8b2o8b2obob2o$8b2o9bob2obo$2b2o15bo$3bo7b2o3b2obo$3o7bo2bo3b ob2o$o8bob2o3bo$9bo5bo$10b6obo$12bo3bobo$15bo2bo$16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
G → Queen bee[15], uses PT8P.
(click above to open LifeViewer)
x = 37, y = 71, rule = B3/S23 3bo$3b3o19bo$6bo17bobo$5b2o17bob2o11$2o$2o14$30b2obo$30b2ob3o$36bo$30b 2ob3o$31bobo$31bobo$32bo3$15b2o$14bo2bo$15b2o3$31b2o$31b2o4$8bo$9b2o$ 8b2o6$28b2o$26bo2bo$26b3o2$16b2o8b2obob2o$16b2o9bob2obo$10b2o15bo$11b o7b2o3b2obo$8b3o7bo2bo3bob2o$8bo8bob2o3bo$17bo5bo$18b6obo$20bo3bobo$23b o2bo$24b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 600 THUMBSIZE 2 ZOOM 8 GPS 20 ]]
G → B + glider[16].
(click above to open LifeViewer)


See also

References

  1. 1.0 1.1 1.2 1.3 1.4 1.5 AlbertArmStain (November 15, 2023). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums
  2. 2.0 2.1 iNoMed (November 15, 2023). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums
  3. 3.0 3.1 iNoMed (November 16, 2023). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums
  4. 4.0 4.1 4.2 4.3 AlbertArmStain (November 16, 2023). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums
  5. 5.0 5.1 C28 (November 16, 2023). Re: Thread for your speculative elementary conduits (discussion thread) at the ConwayLife.com forums
  6. 6.0 6.1 Period1GliderGun (November 16, 2023). Re: Thread for your speculative elementary conduits (discussion thread) at the ConwayLife.com forums
  7. 7.0 7.1 7.2 AlbertArmStain (November 16, 2023). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums
  8. 8.0 8.1 squareroot12621 (November 15, 2023). Re: Thread for your speculative elementary conduits (discussion thread) at the ConwayLife.com forums
  9. 9.0 9.1 EvinZL (November 16, 2023). Re: Thread for your speculative elementary conduits (discussion thread) at the ConwayLife.com forums
  10. AlbertArmStain (November 17, 2023). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
  11. 11.0 11.1 Jormungant (November 15, 2023). Re: Still-life 'factories' (discussion thread) at the ConwayLife.com forums
  12. C28 (December 4, 2023). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums
  13. C28 (November 17, 2023). Re: Still-life 'factories' (discussion thread) at the ConwayLife.com forums
  14. AlbertArmStain (November 29, 2023). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums
  15. MathAndCode (December 23, 2023). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums
  16. MathAndCode (January 5, 2023). Re: The Hunting of the Elementary Conduits (discussion thread) at the ConwayLife.com forums