Infinite glider hotel

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Infinite glider hotel
Infinite glider hotel 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.

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

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". Retrieved on January 28, 2015.

External links