Reflectorless rotating oscillator: Difference between revisions
Apple Bottom (talk | contribs) Citation for Dvgrn's p46 version of DRH's p552. |
Apple Bottom (talk | contribs) Image for Dvgrn's 12-fold p46 version of DRH's p552 RRO; use gallery for all images. |
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{{Glossary}} | {{Glossary}} | ||
A '''reflectorless rotating oscillator''' (or '''looping spaceship''') is a hypothetical pattern, which rotates itself after a certain number of [[generation]]s. There is the additional constraint that two non-interacting copies of the pattern could be combined into an [[oscillator]] with a [[period]] equal to exactly half of that of the component oscillators. This is like the [[pi orbital]], but without the stabilisation. | A '''reflectorless rotating oscillator''' (or '''looping spaceship'''; abbreviated as '''RRO''') is a hypothetical pattern, which rotates itself after a certain number of [[generation]]s. There is the additional constraint that two non-interacting copies of the pattern could be combined into an [[oscillator]] with a [[period]] equal to exactly half of that of the component oscillators. This is like the [[pi orbital]], but without the stabilisation. | ||
Such patterns can be proven to exist (see [[universal constructor]]), but none have been explicitly constructed in [[Life]]. A universal constructor-based RRO has no limit on the number of independent patterns that can orbit a single point. | Such patterns can be proven to exist (see [[universal constructor]]), but none have been explicitly constructed in [[Life]]. A universal constructor-based RRO has no limit on the number of independent patterns that can orbit a single point. | ||
There is only one known reflectorless rotating oscillator in a [[Life-like cellular automaton]]. It exists in B02348/S0123, and has a period of 272: | There is only one known reflectorless rotating oscillator in a [[Life-like cellular automaton]]. It exists in B02348/S0123, and has a period of 272: | ||
Dean Hickerson discovered a reflectorless rotating oscillator in a [[Larger than Life]] cellular automaton, which has a period of 552. He placed eight copies in a circle, yielding a period-69 oscillator. [[Dave Greene]] noticed that twelve copies can orbit a central point with period 46.<ref name="post43299" /> | Dean Hickerson discovered a reflectorless rotating oscillator in a [[Larger than Life]] cellular automaton, which has a period of 552. He placed eight copies in a circle, yielding a period-69 oscillator. [[Dave Greene]] noticed that twelve copies can orbit a central point with period 46.<ref name="post43299" /> | ||
Aidan F. Pierce discovered a period-420 reflectorless rotating oscillator in the [[non-totalistic Life-like cellular automaton|non-totalistic rule]] B2i34ik7/S23-a4ikn5j7 in November 2016.<ref name="post37225" />: | Aidan F. Pierce discovered a period-420 reflectorless rotating oscillator in the [[non-totalistic Life-like cellular automaton|non-totalistic rule]] B2i34ik7/S23-a4ikn5j7 in November 2016.<ref name="post37225" />: | ||
[[File:Xp420 59qkxs.png | ==Gallery== | ||
<gallery> | |||
File:Xp272 757w9.png|Reflectorless rotating oscillator in B02348/S0123.<br />{{LinkCatagolue|xp272_757w9|rule=b02348s0123|style=brief}}]] | |||
File:Deanhickersons p552 RRO.png|Dean Hickerson's period-552 reflectorless rotating oscillator in the [[Larger than Life]] rule R7,C0,M1,S65..114,B65..95,NM. | |||
File:Deanhickersons p552 RRO 12fold p46.png|Dave Greene's 12-fold, period-46 version of Dean Hickerson's period-552 RRO. | |||
File:Xp420 59qkxs.png|Reflectorless rotating oscillator in B2i34ik7/S23-a4ikn5j7.<br />{{LinkCatagolue|xp420_59qkxs|rule=b2i34ik7s23-a4ikn5j7|style=brief}} | |||
</gallery> | |||
==References== | ==References== | ||
Revision as of 13:06, 3 July 2017
A reflectorless rotating oscillator (or looping spaceship; abbreviated as RRO) is a hypothetical pattern, which rotates itself after a certain number of generations. There is the additional constraint that two non-interacting copies of the pattern could be combined into an oscillator with a period equal to exactly half of that of the component oscillators. This is like the pi orbital, but without the stabilisation.
Such patterns can be proven to exist (see universal constructor), but none have been explicitly constructed in Life. A universal constructor-based RRO has no limit on the number of independent patterns that can orbit a single point.
There is only one known reflectorless rotating oscillator in a Life-like cellular automaton. It exists in B02348/S0123, and has a period of 272:
Dean Hickerson discovered a reflectorless rotating oscillator in a Larger than Life cellular automaton, which has a period of 552. He placed eight copies in a circle, yielding a period-69 oscillator. Dave Greene noticed that twelve copies can orbit a central point with period 46.[1]
Aidan F. Pierce discovered a period-420 reflectorless rotating oscillator in the non-totalistic rule B2i34ik7/S23-a4ikn5j7 in November 2016.[2]:
Gallery
-
![Reflectorless rotating oscillator in B02348/S0123. Catagolue: here]]](/w/images/thumb/0/06/Xp272_757w9.png/90px-Xp272_757w9.png)
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Dean Hickerson's period-552 reflectorless rotating oscillator in the Larger than Life rule R7,C0,M1,S65..114,B65..95,NM. -
Dave Greene's 12-fold, period-46 version of Dean Hickerson's period-552 RRO. -
![Reflectorless rotating oscillator in B02348/S0123. Catagolue: here]]](/wiki/File:Xp272_757w9.png)
References
- ↑ Abstract Art (discussion thread) at the ConwayLife.com forums
- ↑ Soup search results in rules other than Conway's Life (discussion thread) at the ConwayLife.com forums
External links
- Rotary oscillators? (discussion thread) at the ConwayLife.com forums