| Glimmering Garden
Glimmering Garden is an isotropic non-totalistic Life-like cellular automaton with Hensel notation B3-jknr4ity5ijk6i8/S23-a4city6c7c. It was devised by GUYTU6J on August 28, 2019.
The period-240 oscillator cloverleaf is the most common oscillator and the second most common object arising from soups, due to the fact that an R-pentomino (or its 2-generation descendant B-heptomino) is a natural predecessor of it. It is also a reflectorless rotating oscillator with ⌘-shaped motion, albeit of loopability 1. It was this oscillator, found in other rules, that led to the discovery of Glimmering Garden.
The period-28 oscillator Julia is the third most common oscillator. The envelope resembles a Julia set, hence the name.
The period-44 oscillator butterfly is the fourth most common oscillator. There is a common non-trivial dimer of it as well.
With the discovery of R-pentomino conduits (see below), oscillators of period 37 or above can be constructed. At the time of writing, the periods for which no oscillator is known are 10, 11, 15, 16, 19~25, 27, 29, 31~33, 35.
Naturally-occuring spaceships include the c/2 orthogonal T-ship, a c/4 orthogonal and a 3c/20 fireship-like orthogonal spaceship, though the latter only in higher symmetrys. Moreover, some non-exhaustive searches for c/2 and 2c/4 components have been carried out with Rust Life Search.
The bullet heptomino is the smallest, fastest spaceship as well as the most common object arising from random soups. Its other phase is a t-tetromino plus one dot spark at the back, hence the name T-ship. Its significance for Glimmering Garden is to the same extent as the glider for Game of Life.
There are 29 distinct two T-ship collisions, 19 of which creates nothing, 6 creates a single T-ship (include 4 fly-by deletions), one creates two T-ships and another one creates two blinkers. The remaining two is messy.
Linear growth patterns
The most common linear growth pattern is a 32c/68 orthogonal double T-ship backrake, as shown on the right. It is the basis of many other linear growths, where the outputs are filtered by oscillators or crashed into other objects.
A large amount of T-ship guns are based on cloverleaf, Julia and butterfly. The smallest and fastest known gun is a true-period p13 T-ship gun on the left. With the discovery of stable T-ship duplicators, T-ship guns with periods 51 or above can be constructed.
Giving off similar century-like sparks, the oscillators cloverleaf, Julia and butterfly are excellent for signal circuits. For Julia, T-ship 90-degree reflector, 180-degree reflector, Heisenburp and AND gate have been found.
Stable technologies are also of interest, most of which relies on tub, the smallest still life that functions as a versatile rock. The period-13 gun above is an example. The tub can also catalyse the evolution of R-pentomino/B-heptomino in various manners, which enables the construction of period-37 (or above) R-pentomino loop.
Besides the B-heptomino, T-ship is another vital signal carrier. After the discovery of a bait boat reaction with recovery time 51, Luka Okanishi constructed a stable T-ship duplicator giving 0-degree and 90-degree parity-preserved outputs. A parity-changing T-ship reflector is also possible, completing a toolkit that is able to adjust the mod-4 timing of a T-ship by means of trombone slide.
Memory cells that require destructive read (such as demultiplexer) can be built from tub or boat factorys, while permanent switch where information can be read non-destructively is realized with the still life xs8_5rk.
- GUYTU6J (June 12, 2019). Re: Reflectorless Rotating Oscillators (RRO) (discussion thread) at the ConwayLife.com forums