Object: Difference between revisions
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==Pseudo-object== | ==Pseudo-object== | ||
A pseudo object is formed when two or more objects and/or pseudo-objects are close to each other in such a way that adjacent empty cells do not change their behaviors, but the reason births do not form is due to over-population rather than under-population, and there is at least one way that the clusters can be separated into disjoint sets that operate the same way (e.g. bi-block separates into two blocks). | A pseudo object is formed when two or more objects and/or pseudo-objects are close to each other in such a way that adjacent empty cells do not change their behaviors, but the reason births do not form is due to over-population rather than under-population, and there is at least one way that the clusters can be separated into disjoint sets that operate the same way (e.g. bi-block separates into two blocks). | ||
In most cases, this separation can be done into two sets, but there have been examples found that require three or even four sets (four is the maximum, given the 4-color map theorem). | In most cases, this separation can be done into two sets, but there have been examples found that require three or even four sets (four is the maximum, given the 4-color map theorem). | ||
Note that objects can fit this definition, but they are generally classed separately, in the same way that still-lifes are technically trivial period-1 oscillators but are not generally classified as such. | Note that objects can fit this definition, but they are generally classed separately, in the same way that still-lifes are technically trivial period-1 oscillators but are not generally classified as such. | ||
Pseudo-still-lifes, pseudo-oscillators, and pseudo-spaceships are pseudo-objects similar to the above (e.g. bi-block, block on beacon, LWSS-on-LWSS). | |||
Pseudo-still-lifes, pseudo-oscillators, and pseudo-spaceships are pseudo-objects similar to the above (e.g. [[bi-block]], block on beacon, [[Spaceship flotilla|LWSS-on-LWSS]]). | |||
==Quasi-object== | ==Quasi-object== | ||
A quasi-object is formed when two or more objects and/or pseudo-objects and/or or quasi-objects are close to each other in such a way that they share adjacent empty cells (e.g. two adjacent tubs). | A quasi-object is formed when two or more objects and/or pseudo-objects and/or or quasi-objects are close to each other in such a way that they share adjacent empty cells (e.g. two adjacent tubs). | ||
Note that objects and pseudo-objects can fit this definition but are generally classed separately. | Note that objects and pseudo-objects can fit this definition but are generally classed separately. | ||
Quasi-still-lifes, quasi-oscillators and quasi-spaceships are quasi-objects similar to the above (e.g. tub near tub, tub near beacon, two nearby gliders). | Quasi-still-lifes, quasi-oscillators and quasi-spaceships are quasi-objects similar to the above (e.g. tub near tub, tub near beacon, two nearby gliders). | ||
Revision as of 19:56, 7 January 2022
An object is formally defined as follows:
- A cluster of adjacent living cells (e.g. block, tub, beacon, glider)
- Two objects close to each other in such a way that they suppress one or more births if they are separated (e.g. aircraft carrier)
- Two periodic objects that interact as described above in at least one of their phases (e.g. beacon, two pentadecathlons shuttling a glider)
Still-lifes are non-moving objects with a period of one. Oscillators are non-moving objects with a period greater than one. Spaceships are moving periodic objects.
Pseudo-object
A pseudo object is formed when two or more objects and/or pseudo-objects are close to each other in such a way that adjacent empty cells do not change their behaviors, but the reason births do not form is due to over-population rather than under-population, and there is at least one way that the clusters can be separated into disjoint sets that operate the same way (e.g. bi-block separates into two blocks). In most cases, this separation can be done into two sets, but there have been examples found that require three or even four sets (four is the maximum, given the 4-color map theorem).
Note that objects can fit this definition, but they are generally classed separately, in the same way that still-lifes are technically trivial period-1 oscillators but are not generally classified as such.
Pseudo-still-lifes, pseudo-oscillators, and pseudo-spaceships are pseudo-objects similar to the above (e.g. bi-block, block on beacon, LWSS-on-LWSS).
Quasi-object
A quasi-object is formed when two or more objects and/or pseudo-objects and/or or quasi-objects are close to each other in such a way that they share adjacent empty cells (e.g. two adjacent tubs).
Note that objects and pseudo-objects can fit this definition but are generally classed separately.
Quasi-still-lifes, quasi-oscillators and quasi-spaceships are quasi-objects similar to the above (e.g. tub near tub, tub near beacon, two nearby gliders).