Life Objects Buildable With 3 Gliders

Still-lifes | Pseudo-still-lifes | P2 oscillators | P3 oscillator | P15 oscillator | Spaceships | Constellations | Methuselahs | Naturally-occurring objects

Although most of the 3-glider collisions have been explored, they have not been verified by exhaustive computer search, and it is remotely possible that some 3-glider syntheses have been missed, especially pseudo-still-lifes. Also, there has been no attempt to include all 3-glider constellations, as there are an infinite number of them.


The 10 still-lifes buildable from 3 gliders

3-glider still-lifes

Tub; Diamond [3] Ship [3] Barge [3] Long boat [3] 8.3; Mango; Cigar [3] Long barge [3]
9.10; Hat [3] 9.1; Very long boat [3] 14.30; Paper- clip [3] 14.79; Half bakery; Loaf on loaf [3] 16.1749; Bi-pond; Pond tie pond [3]  

The 11 pseudo-still-lifes buildable from 3 gliders

3-glider pseudo-still-lifes

Block on boat [3] Block on ship [3] Up boat on boat [3] Block on beehive [3] Block on loaf [3] Up ship on ship [3]
Beehive on beehive [3] Up boat on loaf [3] Up boat on eater [3] Up boat above eater [3] Up loaf on eater [3]  

The 2 period 2 oscillators buildable from 3 gliders

3g P2

Toad [3] Beacon [3]

Toads have no stable surfaces, but one side vacillates between one and two bits, making it possible to form pseudo-objects with other toads or similar oscillators, or with even-period oscillators that create domino sparks, like the Figure-8.

Their other sides can also be placed between pairs of domino sparks in several ways, resulting in two reactions: toad-flipping, where the toad is reflected, and toad-sucking, where the toad is moved sideways one position. Since each step must occur twice to return the toad to the original period, this usually results in an oscillator of double the original period (or quadruple, if the original period is odd). Several examples are shown in the period 60 versions of a toad between two pentadecathlons. Several additional period 8 versions using Figure-8s do not double the period, because the Figure-8's domino sparks have an extra bit-spark that produces a second domino hassling the toad twice in immediate succession each cycle. Toad-sucking can also occur be done by pairs of c/4 or c/6 orthogonal spaceships that produce domino sparks each time they advance. This could theoretically also work with spaceships of any slower even base period that move one step each period and produce one domino spark each period.

Pairs of toads, known as killer toads, can also eat expanding objects like middle-weight and heavy-weight spaceships, and forming 3/4 traffic light. These are most useful for eating spaceship streams whose period is a multiple of 2. For those whose period is a multiple of 3, killer candelfrobras are more appropriate.

The 1 period 3 oscillator buildable from 3 gliders

3g P3

Pulsar; Pulsar CP 48-54-72 [3]

The Pulsar consists of four inducting Traffic light predecessors. Its predecessors are used in many other oscillators (as described under Traffic light). Pulsars are also infinitely extensible, by arranging multiple quadrants in a closed loop. The Pulsar, consisting of four quadrants, is the smallest such arrangement. The Quasar, consisting of twelve quadrants, is the next largest.

The 1 period 15 oscillator buildable from 3 gliders

3g 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).

The 3 spaceships buildable from 3 gliders

3-glider spaceships

Light- weight space- ship; LWSS; Small fish [3] Middle- weight space- ship; MWSS; Medium fish [3] Heavy- weight spaceship; HWSS; Big fish [3]

These all have a period of 4 and an orthogonal velocity of c/2. They move one cell up and flip from side to side every two generations, effectively moving two cells up every 4 generations. Except for the glider, these are the only common natural spaceships in Life, and are used in some syntheses.

13 small constellations buildable from 3 gliders

There are an infinite number of 3-glider constellations; these are some of the most common.

3-glider constellations

Two point- to- point boats [3] Half honey- farm [3] Butterfly [3] 3/4 honey- farm [3] Fleet [3] Bakery [3] Block and glider (via Wing) [3]
Two blinkers offset (4, 0) [3] Half traffic light [3] Blinker and 3 blocks (via Bookend) [3] Ship and two blocks and two blinkers [3] 3 Blocks and 2 blinkers (via Dove) [3]
3/4 traffic light [3]  

8 methuselahs buildable from 3 gliders

3-glider methuselahs

Century (@1); Bookend (@2); Hook (@2); Kidney (@2) [3] Dove (@1); R-mango (@1) [3] Pike; Pi heptomino and block (@3) [3] R pentomino (@2) [3] Block and glider; Wing (@2); R-loaf (@2) [3] Herschel parent; Herschel (@1) [3] Gliders by the dozen, Gliders- omino (@-1) [3] J (@6) [3]
Blinker and 3 blocks (@103) 3 Blocks and 2 blinkers (@201) Toad, 9 beehives, 2 boats, 7 blocks, 9 blinkers (@991) Loaf, ship, 4 beehives, boat, 8 blocks, 4 blinkers, 6 gliders (@1105) Block and glider (@106) Ship, 2 blocks, glider (@128) 4 Beehives, 4 blocks, 4 blinkers, 12 gliders (@184) Fleet, loaf, ship, 2 beehives, 2 boats, 8 blocks, blinker, 2 gliders (@556)

The top 15 naturally-occurring objects buildable from 3 gliders

3-glider natural objects

Tub [3] (81.71) Ship [3] (132.9) Long boat [3] (279.7) Toad [3] (373.6) Beacon [3] (1221) Barge [3] (1234) 14.30; Half- bakery [3] (1943) 8.3; Mango; Cigar [3] (3148)
Long barge [3] (8116) Pulsar [3] (19584) 14.79; Paper clip [3] (20597) 16.1749; Bi-pond [3] (49455) 9.10; Hat [3] (90686) 9.1; Very long boat [3] (128043) Penta- decathlon [3] (1631317)

Other costs: 2 gliders, 3 gliders, 4 gliders, 5 gliders, 6 gliders, 1 glider/bit, >1 glider/bit, unknown.

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

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This page was last updated on 2015-02-19.