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|[[Image:Infinite_glider_hotel_2.png|thumb|left|Bell's 2001 modification of the infinite glider hotel<br />{{JavaRLE|infinitegliderhotel2}}]]
|[[Image:Infinite_glider_hotel_2.png|thumb|left|Bell's 2001 modification of the infinite glider hotel<br />{{JavaRLE|infinitegliderhotel2}}]]
|[[Image:Infinite_glider_hotel_3.png|thumb|left|A slightly smaller version of the 2001 infinite glider hotel<br />{{JavaRLE|infinitegliderhotel3}}]]
|[[Image:Infinite_glider_hotel_3.png|thumb|left|A slightly smaller version of the 2001 infinite glider hotel<br />{{JavaRLE|infinitegliderhotel3}}]]
|}
==Videos==
{|
|-
|{{#ev:youtube|m2iHZpqIMfk|300|left|The infinite glider hotel evolving over 425,000 generations}}
|}
|}
Revision as of 12:18, 8 July 2010
Infinite glider hotel
x = 566, y = 572, rule = B3/S23
13b2o$13b2o6$13b3o2$13bobo$12b5o$11b2o3b2o$11b2o3b2o4$2bo6bo$b2o6b2o$
3o6b3o$b2o6b2o$2bo6bo165$301bo2$297bo7bo$291b3o2bo8bo$291b3o2bo3b2o4bo
$289bo2b2o2bo6bobo$289bobo10b2obo$289b3o$280b2o18bo$280b2o$316bo$314b
2ob2o2$314b2o$314bo$316bo3bo$272b2o38bo3bo$272b2o$306bo$305bobo10bo$
305bobo7bobo$304bo2bo6bo$304bobo8b2o$303bo11bobo$264b2o37b2o10bobo$
264b2o38bo9bob2o$313b2ob2o9bo$316b3o$323bo7bo$306bo15bo8bo$272b3o30bob
o14bo3b2o4bo$305bo16bo6bobo$270bo34bo22b2obo$269b2o3bo30bo$270bobo53bo
22b2o$273b3o28bo$273bo29b3ob2o38bo3bo$301b2ob3o39bo$273b2o28bo41bo7bo$
272b2o75bo4bo$273bo70bo4bobobo$272b2o32bo37bo8bo$273b2o30bob2o35bob2o
4bo$283bo20b2obob2o33b3ob2obo$276bo3bo2bobo2bo19bo36b2ob3o$276b5ob2o4b
o21bob2o4b2o12b2o$277bobo4bo3bo25bob2o8b2o4b2o$311b4obob3o5b2o$284b3o
28bo$285bo2$370bo$368b2obo$324b2o41bo$318b2o4b2o40bo2bo3bo$318b2o45bo
9bo$240b2o56b3o64b2o2b2o4bo$239b2o124b2o$241bo21b2o31bo70bo5bo$262bobo
30b2o3bo64b3o4bo$252b2o7bo13bobo18bobo66b2o4bo3b2o$252b2o7bo2bo6b2o2bo
2bo20b3o14b2o48b4o$261bo8bobo5b2o19bo10b2o4b2o39bobo13bo3bo$262bobo3bo
3bo3bo3b2o4b2o22b2o45b3o12bo$263b2o2b2ob3o5b2o6b2o11b2o57b2o11bo7bo$
270b2o3bo2bo19b2o75bo4bo$275bobo21bo70bo4bobobo$298b2o56bo13bo8bo$299b
2o55bobo11bob2o4bo$261bo94b3o11b3ob2obo$261bobo38b2o51bo15b2ob3o$238bo
22b2o39b2o21bobo27b5o$236bobo85b2ob2o12bo$227bo7bobo86b2obo12bobo$226b
2o6bo2bo11b2o72bo17bo$225b2o4b2o2bobo11b2o73bo18bo$215b2o7b3o4b2o3bobo
15bo69bo18b2o$215b2o8b2o4b2o5bo14bo87bo2bo$226b2o25b3o85b3o$227bo107bo
6bo$239bo94b3o$234b4o2bo9b4o26b4o84b2o$236bob3o8bo3bo25bo3bo50b3o29b2o
2bo5bo$237bo15bo29bo5b3o39b2ob2o30bo2b3o4bo$234bo14bo2bo26bo2bo6bo43bo
32bo4bo4bo$237bo52bo76b5o$234bo134b2o2$227bo$227b2o$226bobo$370b2o$
214b2o27bo126b2o$213bobo26b2o$203b2o7bo6b2o4bo16bobo$203b2o7bo2bo2bo2b
o2bobo26bo$212bo6b3obob2o25bobo$213bobo6b2ob2o14bo8b2o3bo9b2o84bobo$
214b2o7bob2o14b4o5b2o3bo9b2o83b2ob2o$224bobo15b4o4b2o3bo94b2obo8b2o$
225bo16bo2bo6bobo94bo12b2o$242b4o7bo72b2o22bo$241b4o80bobo22bo$241bo
82b3o$324b2o$324b2o$325bobo$326bo27b2o$354b2o2$323b2o3b2o$323b2o3b2o2$
319b3o3b3o$319bo5b3o$203b2o115bo5bo$203b2o113bo$318b2o$317bobo3$208bo
114b3o$208bo114b3o$195b2o12bo112bo3bo$195b2o8bob2o101b2o$204b2ob2o102b
2o8b2o3b2o$205bobo102bo5$187b2o114bo$187b2o114b2o$302bobo2$290b2o31b2o
$289bobo31b2o$188b2o89b2o7bo6b2o4bo$187b5o87b2o7bo2bo2bo2bo2bobo$182bo
4bo4bo32bo62bo6b3obob2o$182bo4b3o2bo30b2ob2o61bobo6b2ob2o10b2o$182bo5b
o2b2o29b3o65b2o7bob2o10b2o$189b2o109bobo$222b3o76bo$216bo6bo$215b3o$
214bo2bo$214b2o18bo$215bo18bo$217bo17bo$216bobo12bob2o$217bo12b2ob2o$
199b5o27bobo21b2o$182b3ob2o15bo51b2o$181bob2ob3o11b3o$180bo4b2obo11bob
o55b2o$179bo8bo13bo56b2o$179bobobo4bo70bo$178bo4bo75b2o$179bo7bo11b2o
57b2o$186bo12b3o45b2o$181bo3bo13bobo39b2o4b2o10bo$189b4o48b2o14b3o$
182b2o3bo4b2o66bobo$186bo4b3o64bo3b2o83bo$185bo5bo70bo85bo$192b2o152b
3o$183bo4b2o2b2o64b3o$183bo9bo45b2o$185bo3bo2bo40b2o4b2o$191bo41b2o$
187bob2o$188bo2$273bo$243bo28b3o$231b2o5b3obob4o$225b2o4b2o8b2obo25bo
3bo4bobo$225b2o12b2o4b2obo21bo4b2ob5o$208b3ob2o36bo19bo2bobo2bo3bo$
207bob2ob3o33b2obob2o20bo$206bo4b2obo35b2obo30b2o$205bo8bo37bo32b2o$
205bobobo4bo70bo$204bo4bo75b2o$205bo7bo41bo28b2o$212bo39b3ob2o$207bo3b
o38b2ob3o29bo$254bo28b3o$208b2o22bo53bobo$253bo30bo3b2o$227bob2o22bo
34bo$227bobo6bo16bo$226bo4b2o3bo14bobo30b3o$227bo8bo15bo$227bo7bo$240b
3o$231bo9b2ob2o$241b2obo9bo38b2o$241bobo10b2o37b2o$241bobo11bo$242b2o
8bobo$244bo6bo2bo$241bobo7bobo$240bo10bobo$252bo$285b2o$242bo3bo38b2o$
238bo3bo$244bo$243b2o2$240b2ob2o$242bo$277b2o$258bo18b2o$267b3o$253bob
2o10bobo$253bobo6bo2b2o2bo$252bo4b2o3bo2b3o$253bo8bo2b3o$253bo7bo2$
257bo144$558bo4bo$556b2ob4ob2o$552bo5bo4bo$551bo$551bo3$549b2o3b2o$
550b5o$551b3o$552bo8$552b2o$552b2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
View static image
Pattern type
Miscellaneous
Number of cells
1278
Bounding box
566 × 572
Static symmetry
Unspecified
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.
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.
Bell's 2001 modification of the infinite glider hotelDownload RLE : click here
A slightly smaller version of the 2001 infinite glider hotelDownload RLE : click here
Videos
The infinite glider hotel evolving over 425,000 generations
See also
References
External links