Life Period-15 Oscillators

Size in bits: 12 | 19 | 21 | 22 | 23 | 24 | 25 | Larger | Pentadecathlon pairs
Cost in gliders: 3 | 6
Frequency of occurrence



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).


The 1 nineteen-bit period 15 oscillator

19b P15

Eater eating penta- decathlon [6]


The 1 21-bit period 15 oscillator

21b P15

Integral eating penta- decathlon [7]


The 2 22-bit period 15 oscillators

22-bit P15

Integral w/ hook eating penta- decathlon [9] Integral w/ tub eating penta- decathlon [8]


The 8 23-bit period 15 oscillators

23-bit period 15 oscillators

Eater w/ cape eating penta- decathlon [9] Integral w/ tail eating penta- decathlon [8] Integral w/ long hook eating penta- decathlon [11] Carrier siamese eater eating penta- decathlon [10]
Snake siamese eater eating penta- decathlon [10] Integral w/ down boat eating penta- decathlon [8] Gull eating penta- decathlon [8] Integral w/ up boat eating penta- decathlon [8]


The 24 24-bit period 15 oscillators

24-bit period 15 oscillators

Penta- decathlon on penta- decathlon #1 [8] Block on down long bookend eating penta- decathlon [9] Integral w/ long tail eating penta- decathlon [10] Block on up long bookend eating penta- decathlon [9] Integral w/ cis hook eating penta- decathlon [14] Integral w/ very long hook eating penta- decathlon [12]
Penta- decathlon and trans caterer sharing sparks [15] Penta- decathlon and cis caterer sharing sparks [15] Penta- decathlon on penta- decathlon #2 [8] Boat tie eater eating penta- decathlon [9] Eater head siamese eater eating penta- decathlon [10] Python siamese eater eating penta- decathlon [10]
Penta- decathlon on penta- decathlon #4 [8] Integral w/ down barge eating penta- decathlon [11] Integral w/ beehive eating penta- decathlon [10] Integral w/ claw eating penta- decathlon [10] Eater w/ feather eating penta- decathlon [11] Penta- decathlon on penta- decathlon #5 [8]
Gull w/ hook eating penta- decathlon [10] Eater tail siamese eater eating penta- decathlon [11] Penta- decathlon on penta- decathlon #6 [8] Gull w/ tub eating penta- decathlon [8] Integral w/ up barge eating penta- decathlon [9] Integral w/ fuse w/ tail eating penta- decathlon [10]


The 3 25-bit period 15 oscillators

Unfortunately, due to time limitations, these cannot yet be shown. These consist of:

Syntheses for 3 of these are shown; all are easy to synthesize using standard techniques.

25-bit period 15 oscillators

Penta- decathlon and up jam sharing sparks [11] Penta- decathlon and down jam sharing sparks [11] Silver's P5 on eater eating eater [19]

This last one has a pseudo-period of 15, a composite of 3 and 5.


7 period 15 oscillators 26 bits and larger

larger period 15 oscillators

Karel Suhajda's P15 [28] Two penta- decathlons hassling two blocks [13] Al Jolson [13] Two penta- decathlons hassling long barge [12]
Two penta- decathlons hassling butterfly [10] Pentadecathlon rephasing P7 [62] Four penta- decathlons hassling four blocks [29]

Karel Suhajda's P15 generates a useful finger spark.

NOTE: Because there are so many pentadecathlon pairs, they are omitted from this list, and shown in the next section.


The 24 Period-15 Pentadecathlon Pairs

period 15 pentadecathlon pairs

Two penta- decathlons #1 [8] Two penta- decathlons #2 [8] Two penta- decathlons #3 [7]* Two penta- decathlons #4 [8] Two penta- decathlons #5 [8] Two penta- decathlons #6 [8] Two penta- decathlons #7 [8]
Two penta- decathlons #8 [8] Two penta- decathlons #9 [8]* Two penta- decathlons #10 [8] Two penta- decathlons #11 [8]* Two penta- decathlons #12 [8] Two penta- decathlons #13 [8] Two penta- decathlons #14 [7]
Two penta- decathlons #20 [6] Two penta- decathlons #21 [6] Two penta- decathlons #22 [6] Two penta- decathlons #23 [6] Two penta- decathlons #24 [6] Two penta- decathlons #25 [6] Two penta- decathlons #16 [6]
Two penta- decathlons #17 [6]
Two penta- decathlons #26 [6] Two penta- decathlons #27 [6] Two penta- decathlons #28 [6] Two penta- decathlons #29 [6] Two penta- decathlons #30 [6] Two penta- decathlons #15 [14] Two penta- decathlons #18 [6]
Two penta- decathlons #19 [6]

* NOTE: The three marked * are pseudo-oscillators.



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).


16 period 15 oscillators buildable from 6 gliders

6-glider period 15 oscillators

Eater eating penta- decathlon [6] Penta- decathlon on penta- decathlon #21 [6] Penta- decathlon on penta- decathlon #20 [6] Penta- decathlon on penta- decathlon #27 [6]
Penta- decathlon on penta- decathlon #16 [6] Penta- decathlon on penta- decathlon #17 [6] Penta- decathlon on penta- decathlon #22 [6] Penta- decathlon on penta- decathlon #23 [6]
Penta- decathlon on penta- decathlon #18 [6] Penta- decathlon on penta- decathlon #29 [6] Penta- decathlon on penta- decathlon #30 [6] Penta- decathlon on penta- decathlon #28 [6]
Penta- decathlon on penta- decathlon #26 [6] Penta- decathlon on penta- decathlon #24 [6] Penta- decathlon on penta- decathlon #25 [6] Penta- decathlon on penta- decathlon #19 [6]



The top 1 naturally-occurring period 15 oscillator

natural P15

Penta- decathlon [3] (1631317)

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).



Related: period-15 pseudo-oscillators.

Other oscillators by period: 2, 3, 4, 5, 6, 8, 10, 12, 14, 15, 24, 30, 36, 60, other.

Other types: still-lifes, pseudo-still-lifes, oscillators, pseudo-oscillators, oscillators by period, pseudo-oscillators by period, guns, multi-colored Life, basic spaceships and pseudo-spaceships, exotic spaceships, spaceships flotillae, puffers, constellations, methuselahs, not quite stable objects.

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.