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Here are some patterns, mostly ones that I built, in RLE format:
- Oscillators
- Stamp Collection
(Collection of 650 oscillators known by 1995)
- New billiard tables
(Billiard tables found from 1997 to 1998)
- Signal injectors
(Collection of 2c/3 and 5c/9 diagonal signal injectors)
-
Crystal and decay oscillators
- Back and forth
fuse (p1200 oscillator with a pi heptomino moving through a line of
blinkers)
-
- Glider guns
- Period 30N guns
(Based on 2 p30 streams colliding)
- Wobble gun & pseudo
kickback (Gliders modify p30 guns)
-
Period 44 and 50 guns
- Period 132 gun
- Cyclotron
(Period 874 gun based on 3-glider collision)
- 3 Herschel-based
guns (Gliders create Herschels, which emit gliders)
-
- Puffers
- Period 8 puffers
- Period 20 puffers
- Period 24 puffers
- Period 36 puffers
- Corderman spaceships
and puffers
-
- Sawtooth patterns
A sawtooth pattern is one in which the population is
unbounded but does not tend to infinity: At certain times it returns to some
fixed value. Most sawtooths are "exponential": There's some number F,
called the "expansion factor", and two numbers A and B such that, in
generations around t = A*F^n, the population is small, while in generations
around t = B*F^n, the population is proportional to t.
- Tractor beam
sawtooth patterns (Diagonal with e.f. 6 and orthogonal with
e.f.s 6, 11, and 21)
- Sawtooths
based on bouncing spaceships (Diagonal with e.f. 4 and orthogonal
with e.f. 25)
- Sawtooth
with external timing (e.f. = 2; by David Bell)
- Parabolic
sawtooth (This one is not exponential.)
- Hacksaw
(Sawtooth with e.f. 9 based on p8 blinker puffer)
-
- Breeders
- Two p60 breeders
- Unusual
Corderman-based breeder
- Pufferless
breeder
-
- Unusual growth rates
- Three patterns
with (apparently) irrational linear growth
- Life computes pi
(Population is ~ (pi-2)/720 t^2)
- Sqrt gun 10.1
(Population is ~ C sqrt(t))
- Sqrt gun 3.0
(Population is ~ C sqrt(t))
- t^1.5
(Population is ~ C t^(3/2))
- Caber tosser
(Population is ~ C log(t))
- log(t)^2
(Population is ~ C log(t)^2)
- t log(t)
(Population is ~ C t log(t))
-
t log(t) by stifled breeder
(Population is ~ C t log(t))
- t log(t)^2
(Population is ~ C t log(t)^2)
-
Irrational density pattern (Population is ~ C t^2, with
C = (3-sqrt(5))/4320)
-
t^(1/3) pattern (Population is ~ C t^(1/3), with
C = (75/16)^(1/3)
-
- Glider syntheses
- 2, 3, and 4-glider
syntheses
- Still-life
syntheses by David Buckingham
- Still-life syntheses
by Dean Hickerson
- Billiard
table syntheses by David Buckingham
-
- Miscellaneous
- Ruler pattern: produces the
sequence: 1 2 1 3 1 2 1 4 1 2 1 3 1 2 1 5 ...
- Jagged lines: jagged lines
of gliders crash to form a jagged line of block pairs
- 4 breeders produce
cloud-like regions made of gliders
- Collection of
glider eaters
- Methuselahs
- Reburners
(Output of puffers is reburned at a slower speed)
- Exponential and
linear aperiodic patterns
- Block pusher 5
(Bounded population, aperiodic pattern. Closely related to sqrtgun 10.1)
- Primer
4 patterns which compute prime numbers, 1 by me and 3 faster ones by
Jason Summers
- Pi heptomino
conduit Pi heptominoes move at 3c/10 between pentadecathlons
- p30 stream
crossing
- p30 PRNG
(Pseudo-random glider generator)
- Spiral decay
pattern
- Downstream
crystal
- Patterns formed from
the digits of numbers
- Alan Hensel's
decimal counter
-
- Other rules
- Slow alien
spaceships (and a breeder)
- Spiral and
polygonal growth in B34568/S15678