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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 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, 19~27, 29, 31~33, 35.
The bullet heptomino is a c/2 orthogonal spaceship. It 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.
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, one creates two blinkers. The remaining two is messy.
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 output of this backrake are filtered by oscillators or crashed into other objects.
Various T-ship guns are based on cloverleaf, Julia and butterfly. The smallest and fastest known gun is a true-period p13 T-ship gun, as shown on the left.
Tub, the smallest still life, can act as a good rock. The period-13 gun above is an example. The tub can also catalyse the evolution of R-pentomino/B-heptomino, which enables the construction of period-37 (or above) R-pentomino loop.
Giving off similar century-like sparks, the oscillators cloverleaf, Julia and butterfly are also excellent for signal circuits. For Julia, T-ship 90° reflector, 180° reflector, Heisenburp, demultiplexer and AND gate have been found.
- GUYTU6J (June 12, 2019). Re: Reflectorless Rotating Oscillators (RRO) (discussion thread) at the ConwayLife.com forums