Reflectorless rotating oscillator: Difference between revisions
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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 [[Totalistic Life-like cellular automaton]]. It exists in B02348/S0123, and has a period of 272 | ==Examples== | ||
There is only one known reflectorless rotating oscillator in a [[Totalistic 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" /> | ||
Daniel R. Collazo discovered a period-184 reflectorless rotating oscillator in the [[non-totalistic Life-like cellular automaton|non-totalistic rule]] B3/S23-a4i5i6ci in July 2017.<ref name="post46748" /> | Daniel R. Collazo discovered a period-184 reflectorless rotating oscillator in the [[non-totalistic Life-like cellular automaton|non-totalistic rule]] B3/S23-a4i5i6ci in July 2017.<ref name="post46748" /> | ||
==Gallery== | ==Gallery== | ||
Revision as of 09:51, 27 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.
Examples
There is only one known reflectorless rotating oscillator in a Totalistic 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]
Daniel R. Collazo discovered a period-184 reflectorless rotating oscillator in the non-totalistic rule B3/S23-a4i5i6ci in July 2017.[3]
Gallery
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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. -
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
- ↑ Thread for basic questions (discussion thread) at the ConwayLife.com forums
External links
- Rotary oscillators? (discussion thread) at the ConwayLife.com forums