Life Objects Sorted by Cost in Gliders

Objects buildable with 2 gliders:

• The 6 still-lifes: Block, Boat, Beehive, Loaf, Eater, Pond.
• The 1 pseudo-still-life: Block on block.
• The 1 oscillator: Blinker.
• The 1 spaceship: Glider.
• The 10 constellations:
  Two blocks skewed (1,4), Loaf and blinker, Traffic light, Teardrop, Four skewed blocks, Blockade (via Lumps Of Muck), Traffic light and glider, Interchange, Loaf and tub and block and blinker, Honeyfarm.
• The 4 metheuselahs: Pi heptomino, B heptomino, Octomino, Two-glider mess.

Objects buildable with 3 gliders:

• The 10 still-lifes:
  Tub, Ship, Barge, Long boat, Cigar, Long barge, Very long boat (9.1), Hat (9.10), Half bakery (14.30), Paperclip (14.79).
• 11 pseudo-still-lifes:
  Block on boat, Block on ship, Up boat on boat, Block on beehive, Block on loaf, Up ship on ship, Beehive on beehive, Up boat on loaf, Up boat on eater, Up boat above eater, Up loaf on eater.
• The 4 oscillators: Toad, Beacon, Pulsar, Pentadecathlon.
• The 3 spaceships: Lightweight spaceship (LWSS), Middleweight spaceship (MWSS), Heavyweight spaceship (HWSS).
• 6 constellations:
  Half traffic light, Half honeyfarm, Butterfly, Ship and two blocks and two blinkers, Fleet, Bakery.
• 3 metheuselahs: R-pentomino, Bookend, Gliders by the dozen.

Objects buildable with 4 gliders:

• 48 still-lifes.
• 29 pseudo-still-lifes.
• 3 oscillators: Clock, Spark coil, Figure-8.
• 3 P2 pseudo-oscillators: Block on beacon, Up boat on beacon, Cis block on beacon on block.
• 1 constellation: Two bowties and two half traffic lights.
• 2 metheuselahs: Thunderbird, Acorn.

Objects requiring >1 glider/bit:

• 0 still-lifes (so far).
• 1 pseudo-still-life: Up boat on cis shillelagh.
• 60 P2 oscillators.
• 4 P2 pseudo-oscillators.
• 13 P3 oscillators.
• 8 P4 oscillators.
• 4 P5 oscillators.
• 6 P5 pseudo-oscillators.

Objects with no known synthesis:

• 0 still-lifes (so far).
• 66 period-2 oscillators.
• 8 period-2 pseudo-oscillators.
• 18 period-3 oscillators.
• 5 period-4 oscillators.
• 3 period-8 oscillators: Coe's P8, Smiley, Achim's P8.
• 1 3-spaceship flotilla: Schick ship behind two MWSS on MWSS #3.

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