Period 5 oscillators

Smallest

All known period five oscillators that have one phase of less than 29 on cells
RankSignatureNameImageRotor SizeVolatility
1015-17-17-25-17pseudo-barberpole28.82
2016-24-16-24-24octagon 232.80
3017-20-19-21-19silver's p519.63
4018-22-18-22-22fumarole26.72
5020-20-22-22-28pentoad22.64
6020-21-22-26-21elkies' p516.55
7021-21-22-22-24hooks11.39
8023-24-29-27-33pentoad 1H238.79
9026-26-30-30-40pentoad with two hexominoes38.76
10026-28-26-28-28heart18.50
11026-28-36-32-38pentoad 254.87
12028-28-29-29-32pentant10.28
13028-30-44-34-34scot's p562.93
14028-32-32-48-32nivasch's pseudo-barberpole52.81
15028-35-31-32-335blink42.76

Signatures are the population counts for the oscillator, sequenced so that the lowest numbers appear to the left. The first signature number has three digits to facilitate sorting when a table includes larger oscillators. Signature numbers are used to break ties in oscillators of nearly the same size.


Highest volatility

All known period five oscillators with volatility of at least 0.8
RankNameImageRotor SizeVolatility
1Statorless p51561
2Four-fold variant of Scot's p52920.973
3Swine860.959
4Scot's p5280.939
5Highly volatile p5 12440.8714
6Pentoad 2260.871
7Pseudo-barberpole150.824
8Voldiag1000.821
9Nivasch's Pseudo-barberpole280.813
10Eppstein p5420.802
11Octagon 2160.800

For purposes of this table, an extensable oscillator is only represented in its minimal form. This allows for one iteration of the inserted piece, as in swine and pentoad 2. Without this restriction oscillators with volatility arbitrarily close to 1 can be constructed by extending Pentoad or Electric fence.

gollark: >hangup
gollark: Maybe I should disconnect this.
gollark: Fact complete.
gollark: Seems like a strange reason to do that.
gollark: Can't.
This article is issued from Conwaylife. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.