Infinite glider hotel

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Infinite glider hotel
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View static image
Pattern type Miscellaneous
Number of cells 1278
Bounding box 566×572
Discovered by David Bell
Year of discovery 1992

The infinite glider hotel is a pattern that was found by David Bell on October 9, 1992 in which two pairs of Corderships pull apart in such a way that there is an ever-lengthening glider track between them. Another glider is injected into the track every 128 generations. The number of gliders in the track therefore increases without limit.[1]

The tricky part of its construction is that even though all the previously injected gliders are repeatedly flying through the injection point, that point is guaranteed to be empty when it is time for the next glider to be injected.

Its name derives from the classic paradox of Hilbert's "infinite hotel" in which a hotel with an infinite number of rooms has room for more guests even if it is already full, simply by shuffling the old guests around. The pattern also demonstrates the Doppler effect.

Modifications

On May 29, 2001, Bell created another infinite glider hotel also based on receding pairs of Corderships. Much like the original hotel, an additional glider is injected into the glider track once every 128 generations. The main difference between the two hotels is that the 2001 version is much more compact, having an initial bounding box of only 274 × 206.

On January 28, 2015, Ivan Fomichev assembled an even more compact version using a stable glider stream merger, found by him on October 7, 2013.[2]

Bell's 2001 modification of the infinite glider hotel
Download RLE: click here
A slightly smaller version of the 2001 infinite glider hotel
Download RLE: click here
An even smaller version of the 2001 infinite glider hotel
Download RLE: click here
#N Infinite glider hotel that uses 2-engine cordership x = 176, y = 115, rule = B3/S23 28bo$14b2o7b2o2bobo$14b3o6b4o3bo$14b2obobo7bo$17b2o10bob2o$29bobo$30bo 8b2o$39b2o4$2bo$2ob2o$2bo$17b2o$16bo2bo$3b2o11b2ob2o$2bo2bo11bo$b2o3bo 10b3o26b2o$bo4bo34b2o3b2o$bo3bo36b3o2b2o$2bo2bo36b2o2b3o$3bo2$19bo$15b o3bo$16bo2bo$16b2ob2o$17bobo$18bo2$6b2o$6b2o7$14b2o$14b2o14$65b2o$64bo bo$58b2o4bo$56bo2bo2b2ob4o$37b2o17b2obobobobo2bo$37b2o20bobobobo$52bo 6bobob2o$37bo12b3o7bo$36bobo10bo$36bo2bo9b2o22b2o$37bo2bo23b2o7bo$45bo 18b2o5bobo$37bo2bo3bobo24b2o$37b2o4bo2bo$44b2o11bo$57bobo$57b2o3$61b2o $62bo97b2o$59b3o98b2o$22b2o35bo$23bo26b2o$23bobo17b2o4bo2bo71bo$24b2o 17b2o5bobo69b3o$51bo69bo$121b2o$28b3o11bob2o9b2o111b2o$31bo10bobo10bo 112b2o$27bo3b2o10bo12b3o$28bo2bo11b2o13bo98bo$29b2o12b2o111bobo$29bo 13b2o110b2ob2o$62bo42bo50bo2bo$25bo36b3o38b3o50bo3bo$20b3ob2o2b2o35bo 36bo53bo$20b4o4b2o22bo11b2o11b2o23b2o$24b2o24b3o24b2o9b2o82bo$49bo38bo bo36b3o2b2o36bo2bo$49b2o37bo4b2o32b2o2b3o36bo3bo$34b2o57bobo32b2o3b2o 34bo4bo$35bo57bob2o31b2o26b3o10bo3b2o$35bob2o53bob2o62bo11bo2bo$36bo2b o52b3o19b2o39b2ob2o11b2o$37b2o14bo59bo2bo39bo2bo$53b2o59b2o41b2o$52bo 2bo33b2o82bo$53b2o35bo80b2ob2o$49b2o36b3o6bob2o17b2o54bo$49b2o36bo6b3o b2o17bo$61bo3b2o26bo24b3o$60bobo3bo27b3ob2o20bo$59bobo3bo12b2o16bobo 36b2o$55b2obobo3bo13bobo15bobo36b2o8bo$55b2obo2b4obo13bo16bo10b2o34bob o$59bobo3bobo12b2o26bo34b2obo10b2o$55b2ob2o2bo2bobo41b3o36bo7bobob2o$ 56bobo2b2o3bo44bo33bo3b4o6b3o$44b2o10bobo87bobo2b2o7b2o$44b2o11bo89bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 2 ]]
An infinite glider hotel based on 2-engine Corderships,
assembled by Chris Cain[3] (click above to open LifeViewer)
RLE: here Plaintext: here

Videos

The infinite glider hotel evolving over 425,000 generations

See also

References

  1. ↑ Alan Hensel's lifebc.zip pattern collection.
  2. ↑ Ivan Fomichev (January 28, 2015). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums
  3. ↑ Chris Cain (January 3, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums

External links

Retrieved from "https://conwaylife.com/w/index.php?title=Infinite_glider_hotel&oldid=78000"