Difference between revisions of "Loaf"
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==External links== | ==External links== | ||
{{LinkLexicon|lex_l.htm#loaf}} | {{LinkLexicon|lex_l.htm#loaf}} | ||
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Revision as of 01:35, 3 December 2020
| Loaf | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 7 | ||||||||
| Bounding box | 4 × 4 | ||||||||
| Frequency class | 2.7 | ||||||||
| Discovered by | JHC group | ||||||||
| Year of discovery | 1970 | ||||||||
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Loaf is a 7-cell still life discovered by the JHC group in 1970.[1] It can be seen as a weld of two beehives.
Commonness
Loaf is the third most common still life in Achim Flammenkamp's census, being about a third as common as beehive but only slightly more common than boat.[2] It is also the fifth most common object on Adam P. Goucher's Catagolue. It is the most common 7-bit still life, being more common than the long boat.[3]
Uses
A loaf has a partial eater property: certain collisions can destroy the upper rightmost two cells (in the orientation shown in the picture), after which the remainder of the pattern will evolve into a new loaf, flipped 180°. Eater 3 is an actual eater making use of this reaction.
A similar reaction to this involves a block "eating" a loaf, similarly to how the beehives in the queen bee shuttle are removed; stabilising this can be used to construct the Baker's dozen.
Loaf is the stator in both mold and jam, and it can be augmented with tails to give the cis- and trans-loaf with tail.
Loaf can be attached to itself to give four still lifes, namely half-bakery, bi-loaf 2, loaf back tie loaf and loaf siamese loaf.
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on June 18, 2009.
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
External links
- Loaf at the Life Lexicon
- Loaf at Adam P. Goucher's Catagolue
- The 4 seven-bit still-lifes at Mark D. Niemiec's Life Page
- Patterns
- Patterns with Catagolue frequency class 2
- Natural periodic objects
- Periodic objects with minimum population 7
- Patterns with 7 cells
- Patterns found by JHC group
- Patterns found in 1970
- Patterns that can be constructed with 2 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 7 cells
- Patterns with bilateral diagonal symmetry
- Diagonal line stabilisations