Twelve-Bit Life Objects

Still-lifes | Pseudo-still-lifes | P2 oscillators | P2 pseudo-oscillators | P3 oscillator | P4 oscillators | P8 oscillator | P15 oscillator | Constellations

The 121 twelve-bit still-lifes

Due to space limitations, these and their syntheses are shown on a separate page.

The 55 twelve-bit pseudo-still-lifes

12-bit pseudo-still-lifes

The 6 twelve-bit period 2 oscillators

12-bit period 2 oscillators

Up beacon on table; Cis- beacon and table [6] 12-bit P2 #1 [18] Fox; Gnome [12] Down beacon on table; Trans- beacon and table [6] Phoenix [10] Hexapole [12]

The 14 twelve-bit period 2 pseudo-oscillators

12-bit P2 pseudo-oscillators

Up toad on toad [5] Down toad on toad [6] Up ship on beacon [6] Up cis carrier on beacon [7] Up snake on beacon [8] Up trans carrier on beacon [7] Up cis beacon on beacon [6]
Down snake on beacon [7] Down ship on beacon [6] Block on bipole [7] Beehive on beacon [5] Down trans carrier on beacon [7] Down cis carrier on beacon [7] Down cis beacon on beacon [6]

The 1 twelve-bit period 3 oscillator

12b P3

Caterer [11]

The Caterer is the smallest oscillator that produces a period 3 finger spark.

The 2 twelve-bit period 4 oscillators

12-bit P4

Mold [5] Mazing [5]

Mold is the smallest oscillator that produces a period 4 diagonal bit spark. Also, mold forms on most still-lifes that have a bonding surface like the long diagonal side of a loaf (from which its name was inspired), so it forms the basis for many larger period 4 oscillators (and many with periods that are multiples of 4, such as period 12).

The 1 twelve-bit period 8 oscillator

12b P8

Figure-8; Big beacon [4]

Figure-8 is the smallest oscillator that produces a period 8 (delayed) domino spark.

The 1 twelve-bit period 15 oscillator

12b P15

Penta- decathlon [3]

The pentadecathlon consists of two forming Traffic light predecessors. It produces a useful domino spark, making it useful in hassler oscillators of many periods, including 15, 30, 45 and 60. Both its end and side sparks can eat gliders and the three simple spaceships in many different ways. Its end spark is also useful for reflecting gliders, and is used in glider shuttles of many periods, including 45, 60 and 75.

Its phase can also be altered (as described under the notes for Traffic light).

6 easily-constructible twelve-bit constellations

12-bit constellations

Killer toads [6] Traffic light [2] Eater-5 [6] Half honey- farm [3] Tear- drop [2] Butterfly [3]

Eater-5 is an eater that can eat gliders, but unlike Eater-1, that sits right in the middle of the glider's path, Eater-5 sits off to the side, making it more useful for picking off gliders from one stream that is very close to another, with an offset of as few as 9 cells. The less obtrusive Eater-5 is slightly larger and more expensive, but can also pick off gliders from one stream 8 cells away from another.

Traffic light predecessors are some of the most versatile objects in Life. Mangling them in many ways produces more of the same. Two of them together along an even line of symmetry form a Pentadecathlon, whose phase can often be altered, (for example, to period 9 or 54).

Even more interesting are two traffic light predecessors along an odd line of symmetry. In 15 generations, they split into two identical copies of themselves, eventually resulting in a Pulsar. However, if one of these two copies is removed, an oscillator results. Furthermore, if one of the blinkers is eaten from the side at the same time, the traffic lights reform one generation earlier. This yields simple oscillators of periods 28, 29, and 30. Pulsar predecessors can also be hassled in many other ways to produce other periods, such as 10 and 55.

If the half-pulsar is always eaten from the same side (which can be done by a c/5 spaceship), the pulsar predecessor becomes a spaceship push-along. Unfortunately, no way is currently known for this mechanism to work on its own without an external spaceship to push it along.

If traffic light predecessors (or 2 or 4, as in pulsar predecessors) are inducted on on all four sides, they produce a whole series of period 2 oscillators called Scrubbers.

Finally, two traffic lights can interact to push each other apart in 25 generations, leading to natural oscillators called Traffic Jams, of which a period 50 example is shown.

Other sizes: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26 and larger, not quite stable objects.

See also: Life objects sorted by: counts, frequency of occurrence, cost in gliders, name, size in bits, or type.

Home page | Life page

Copyright © 1997, 1998, 1999, 2013, 2014 by Mark. D. Niemiec. All rights reserved.
This page was last updated on 2015-02-19.