User:ColorfulGalaxy/Encyclopedia of numbers

This article is made to celebrate the 50th anniversary of LifeLine. It is inspired by this article, which did not mention imaginary numbers. CA-related entries are preferred.

Contents

Choose a set: C-R | (-∞, 0) | [0, 4) | [4, 10) | [10, 32) | [32, 100) | [100, 317)
[317, 1000) | [1000, 3163) | [3163, 10000) | [10000, +∞)

Top of page — Legend — See also — External resources

Legend

Positive prime numbers

Number (excluding positive prime numbers) whose absolute value is an integer

Number whose absolute value is a rational number that is not integer

Number whose absolute value is an algebraic irrational number

Number whose absolute value is a transcendental real number

Unknown/approximation

[0,4)

0

... is the smallest non-negative number.

... is the population of Vacuum.
... is the final population of sparks.
... is the lifespan of still lifes / oscillators / spaceships when they're treated as methuselahs.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a pulsar in Life. (xp0_vhv)
... is the number of distinct Gardens of Eden among polyominoes with 5 or less cells.
... is the number of sparks among polyominoes with 3 or 4 cells in Life.
... is the number of distinct induction coils among polyominoes with 1, 2 and 5 cells.

See also:

Patterns with a final population of 0

0.25

... is the volatility of the beacon.
... as c/4, is the speed of several spaceships, including the glider.

0.25-0.3

... is the approximate density of a spacedusty oscillator or spaceship.

4/9

... is the density of any stable 3×3 agar.

1/2

... is the default soup density on Catagolue.
... is the maximum density of a still life agar on an infinite grid.
... as c/2, is the maximum orthogonal speed of a spaceship in Life and any totalistic or INT rule not containing B0, B1e, B1c, or B2a.
... as c/2, is the speed of the LWSS, MWSS, and HWSS.

5/9

... is the speed of the signal that travels in 5c/9 wire.

2/3

... is the approximate proportion of blinkers that form from traffic lights.
... is the speed of many against the grain spaceships.
... is the speed of the signal that travels in 2c/3 wire.
... is the speed of some blinker fuses.

4/5

... is the volatility of the blinker, toad, and clock.
... is the fuse speed in the Fermat prime calculator.

1

... is the smallest positive whole number.

... is the period of a still life.
... is the number of 5-cell strict still lifes.
... is the number of 8-cell pseudo still lifes.
... is the number of diagonal spaceships that have appeared naturally.
... is the number of distinct haplominoes.
... is the number of distinct dominoes.
... is the number of induction coils among triominoes.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a traffic light in Life. (xp0_v)

See also:

φ (1.618...)

... is the ratio between number of possibilities for a one-thick pattern with N+1 cells and N cells, ignoring lines of 1 and 2 that die out immediately.

2

... is the smallest positive prime number.

... is the minimum number of rotor cells in an oscillator.
... is the minimum number of cells in an oscillator in a non-strobing Life-like rule.
... is the number of triominoes.
... is the number of 4-cell strict still lifes.
... is the period of the blinker, toad, and spark coil.
... is the period of the lowest-period spaceship.
... neighboring cells allows them to survive, but not be born.
... is the minimum number of gliders needed for a collision.
... is the mod of all four common spaceships.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a quasi still life in Life. (xp0_tln)
... is Nathaniel Johnston's forum user ID.

See also:

≈2.46

... is the ratio between strict still lifes with N+1 cells and N cells.

≈2.56

... is the ratio between pseudo still lifes with N+1 cells and N cells.

≈2.77

... is the ratio of block-laying switch engines to glider-producing switch engines in natural soups.

3

... is the smallest positive odd prime number.

... neighboring cells allows them to survive and be born.
... is the period of the pulsar, jam, and caterer.
... is the population of the smallest oscillator in Life.
... is the population of the smallest spaceship in a non-strobing INT rule.
... is the population of the smallest induction coil in Life.
... is the number of induction coils among tetrominoes.
... is the number of beehive predecessors among the tetrominoes in Life.
... is the minimum number of cells that doesn't result in death at the end per pre-block and blinker.
... is the minimum number of gliders for infinite growth.

See also:

≈2.56

... is the ratio between quasi still lifes with N+1 cells and N cells.

≈3.237

... is the inverse frequency of the block in a Catagolue soup.

≈3.486

... is the inverse frequency of the blinker in a Catagolue soup.

[4,10)

4

... is the smallest positive composite number.

... is the minimum number of cells that can form a pond or traffic light.
... is the population of the smallest still life in Life.
... is the number of cells the block has.
... is the number of standard spaceships.
... is the perimeter of the dot.
... is the period of all four standard spaceships.
... is the period of mold and mazing.
... is the heat of the glider.
... is the number of 7-cell strict still lifes.
... is the number of objects in a traffic light, blockade, and honey farm.
... is the recovery time of the fishhook eating a glider.
... is the largest possible quotient between an oscillator's period and mod.
... has more than one oscillator with this period tied for smallest.

5

... is the number of 6-cell strict still lifes.
... is the population of the smallest still life in Star Wars (345/2/4).
... is the number of sparks among pentominoes in Life.
... is the lifespan of the longest-lasting spark among pentominoes in Life.
... is the minimum number of cells that allows significant growth (R-pentomino and pi-heptomino grandparent).
... is the number of distinct triplets.
... is the number of tetrominoes where both reflection and rotation are considered the same object.
... is the period of octagon 2 and fumarole.
... is the number of objects in the ash of Octomino II.
... is the minimum height of a period-3 spaceship.
... is the number of generations between the longest-lasting 6-cell object and the R-pentomino that it becomes.

6

... is the smallest positive composite squarefree number.

... is the number of cells in the toad.
... cells does not last much more than the longest 5-cell object (1108 generations versus 1103).
... is the number of cells in both phases of the toad and one phase of the beacon.
... is the period of unix.
... is the number of distinct 8-cell quasi still lifes.
... is the smallest trivial oscillator period.
... neighboring cells allowing birth is the difference between Life and HighLife.
... is the minimum number of cells for any predecessor of lumps of muck, teardrop,butterfly, honey farm, I-heptomino, E-heptomino, F-heptomino, blonk-tie, and U-turner.
... cells in a row produces a 12-generation spark.
... is the number of blinkers in an interchange.
... is the number of isotropic transitions possible for 2 or 6 neighbors (a, c, e, i, n, k).

x = 60, y = 6, rule = LifeHistory
2o7b2o10bo3bo7bo10bo10bo$2o7b2o9boboDobo5boboDbo5bobo8bobo$2bD8bDbo7b
o3bo7bobDobo5bobDbo6bobD$3b2o7bobo22bo9bobo6bDbo$3b2o8bo34bo8bobo$58b
o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

The six distinct 8-cell quasi still lifes.

(click above to open LifeViewer)

≈6.109

... is the inverse frequency of the beehive in a Catagolue soup.

7

... is the highest-period searched-for pipsquirter known.
... has more than one known oscillator with this period tied for smallest: burloaferimeter, 28P7.1, 28P7.2 and 28P7.3.
... is the period of the loafer.
... is the number of 10-cell pseudo still lifes.
... is the number of currently known distinct 5-cell glider predecessors (including the two distinct phases of the glider).
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a half-blockade in Life. (xp0_11v)
... is the population of the smallest pure glider generator among polyominoes in Life.
... is the smallest period oscillator not to appear in C1, although it has appeared in G1.
... neighboring cells allowing birth is the difference between Life and DryLife.
... is the smallest number of cells required for an asymmetric still life (fishhook).
... is the number of unknown fate heptominoes in Lifeline Volume 1.
... is the number of generations in many 2-cell traffic light push reactions.

8

... is the smallest positive composite cubic number.

... is the period of figure eight and blocker.
... is the highest symmetry order on a square grid.
... is the number of objects in the ash of a line of 8 cells.
... is the maximum number of neighbors a cell can have.
... is the minimum population of any predecessor of an LWSS.
... is the output duration of a pi-to-pi conduit (PT8P).
... is the minimum number of cells that allows arbitrarily long settling time, by making a glider hit a faraway blinker.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a spark in Life. (xp0_vlv)
... is the lowest positive integer n for which an elementary c/n spaceship is possible but not known.
... is the number of hours between Catagolue updates.
... is the smallest n for which (a,b)c/n is not known for all possible a and b in INT rules.

9

... is the largest single-digit number.

... is the period of snacker and worker bee.
... is the smallest period oscillator that hasn't appeared in an asymmetric soup.
... is the number of 8-cell strict still lifes.
... is the minimum population of an LWSS.
... is the highest-period usable intentional domino sparker produced with a search program (104P9).
... is the population of rabbits.

[10,32)

10

... is the smallest 2-digit number.

... is the period of 55P10, a useful sparker.
... is the period of the copperhead spaceships.
... generations of the R-pentomino sequence results in a polyomino with 11 cells.
... is the lifespan of the longest-lived heptomino diehard in Life. There are two heptominoes like this, and their apgcodes are anagrams of each other.^{[citation needed]}
... is the minimum population required for infinite growth.
... is the number of 9-cell strict still lifes.
... cells in a row forms a pentadecathlon.
... is the number of isotropic transitions possible for 3 or 5 neighbors (a,c,e,i,j,n,k,q,r,y).
... is the number of entries per page that Catagolue gives you for period 10+ oscillators.
... 平方の空真四角はLake 2になる (?)

11

... is the smallest 2-digit palindrome.

... is the period of rattlesnake, a useful dot sparker.
... is the period of the highest-period domino sparker with a JLS/WLS/LLS search program, although it has extremely low clearance.
... is the heat of the LWSS.
... is the number of cells in the polyomino that results by advancing the R-pentomino 10 generations.
... is the number of generations in several pre-pulsar shuttle 3-cell push reactions.
... has a still life named after its population (elevener).
... is the number of Lifeline volumes.

≈11.38

... is the inverse frequency of the glider in a C1 Catagolue soup. Note that this is highly dependent on soup size.

12

... is the population of the smallest period-3, 4, 8, and 15 oscillators: caterer, mold, mazing, figure eight, and pentadecathlon.
... is the lifespan of the line of six cells before completely dying.
... is the number of pentominoes.
... is the number of gliders emitted from a gliders by the dozen reaction.
... is the population where the number of period-2 oscillators starts picking up. ^[1]
... is the population of the ship-tie, a decently common still life.
... is the population of the traffic light.
... is the period of baker's dozen, crown and 44P12.3.
... is the period of the Schick engine, which has appeared naturally.
... is the reciprocal of the speed of the switch engine and all Corderships.
... is the maximum number of cells you can have at a time in lifecompetes.
... is the number of chapters in Conway's Game of Life: Mathematics and Construction.

13

... is the period of 53P13, 66P13, Beluchenko's p13, and Buckingham's p13.
... is the number of isotropic transitions possible for 4 neighbors (a,c,e,i,j,n,k,q,r,t,w,y,z).
... is the number of engines in the first known Cordership.
... is the number of distinct 9-cell quasi still lifes.
... is in the username of user May13.

x = 55, y = 40, rule = LifeHistory
5bF$5bF4bo$5bF3bobo$5bF3b2o$5bF$55F$5bF$5bF$5bF$5bF$b2o2bFb2o8b2o7b2o
7b2o$b2o2bFb2o8b2o7b2o7b2o$5bF3bD9bDbo6bDbo6bDb2o$5bF4b2o8bobo6bobo6b
obo$5bF4bobo8b2o6b2o8bo$5bF5bo$5bF$5bF$55F$5bF$5bF$5bF$5bF$2bo2bF2bo3b
2o4bo8bo9bo9bo$bobobFboboDobo3boboDb2o2boboDbo4bobo7bobo$2bo2bF2bo3bo
5bobDobo3bobDobo4bobDb2o4bobDbo$5bF16bo8b2o7bobo7bobo$5bF35bo9b2o$5bF
$5bF$5bF$5bF$5bF$5bF$5bF2bo9bo8bo9bo$5bFbobo7bobo6bobo7bobo$5bF2bobDb
o5bobD6bobD7bobD$5bF5bobo5bDb2o5bDbo9b2o$5bF5b2o7bobo6bobo8bobo$5bF15b
o8b2o9bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

The thirteen distinct 9-cell quasi still lifes.

(click above to open LifeViewer)

See also:

Pre-block (xp0_13)

14

... is the period of the tumbler and 34P14 shuttle.
... is the number of generations in several pre-pulsar shuttle 3-cell push reactions.
... is the number of sparks among hexominoes.
... is the convex hull perimeter of the hexomino with the largest convex hull perimeter.
... is the population of the half-bakery, a decently common still life.
... has a still life named after its population (fourteener).
... is the minimum possible period of a glider stream or glider gun, and the same with LWSSes.
... is the smallest positive integer N for which the "Category: Oscillators with mod N" does not currently exist on LifeWiki.

See also:

MWSS spark (xp0_14)

15

... is the period of the pentadecathlon.
... is the mod of the queen bee shuttle.
... is the number of generations needed for the pre-pulsar to replicate itself.
... is the number of generations the table lasts before completely dying.
... is the population of the smallest known trivial oscillator in Life (blinker on caterer).
... is the population of Beethoven and the ash of century.
... is the heat of the MWSS.
... is the minimum period that the bi-block hassler works at.
... is the number of still lifes with still life frequency greater than 1 in 10,000.
... is the number of oscillator periods that have appeared in C1 or G1 on Catagolue, including period 1.

16

... is the period of Rich's p16, Achim's p16, and Rob's p16.
... is the final population of blockade.
... is the default edge length in Catagolue soups.
... is the minimum possible period for a MWSS stream.
... or more cells gives 7 or more period-3 oscillators, while 15 or fewer cells gives 0 or 1.
... is the final population of the U-turner sequence (xp0_211 u).
... is the number of symmetries a still life can have.
... is the period of the Coe ship, which has appeared naturally.
... is the largest "small still life" size that appears in #catagolue on Discord.
... is the maximum number of on cells for a still life that fits in a 5×5 box.

17

... is the smallest period for which no sparker of any type is known.
... is the smallest period for which no oscillator was known for a long time.
... is the period of honey thieves.
... is the lifespan of the bun.
... is the number of gliders needed for universal construction.
... is the number of columns needed in a 2×N solid block to escape its bounding box horizontally.
... is the numerator of 17c/45, the speed of the caterpillar.
... is the number of 6-cell patterns that evolve into a single ship, as recorded in Lifeline Volume 4.
... is the number of hexaplets that evolve into a single pond.
... is the number of hexaplets that evolve into a single boat.
... is the number of hexaplets that evolve into the R-pentomino sequence.
... is the maximum lifespan of a 6-cell object that dies out completely and doesn't form a Z-hexomino.

See also:

Tail (xp0_17)

18

... is the minimum possible period for a HWSS stream.
... is the highest-period known billiard table without symmetry or a phase shift reaction (Merzenich's p18).
... is the final population of the interchange.
... is the total number of possible transitions in isotropic rules: 9 birth, 9 survival.
... is the final population of the dove sequence.
... is the minimum known period XWSS gun, although all are pseudo-period.
... is the lowest known period independent glider reflector.
... is the base-2 logarithm of the cell size of the 0E0P metacell.
... is the maximum number of on cells for a still life that fits in a 6×6 box.

19

... is the smallest period for which no known oscillator exists.
... is the population of Eater 2.
... is the heat of the HWSS.
... is the number of hexaplets that evolve into a blockade.
... is the number of hexaplets that evolve into a single blinker.

20

... is the minimum known true-period gun.
... was a common edge length for soups before Catagolue settled on 16×16, for instance Andrzej Okrasinski's census.
... is the lifespan of the teardrop.
... is the period of the ecologist.
... is the number of cells the front edge of the pi-heptomino moves forward from its initial position to its peak.
... is the maximum number of cells that all still lifes are known to be synthesizable.
... is the number of 14-cell period-2 oscillators.
... is the minimum repeat time of the two pond and two block reaction.
... is the population of the queen bee shuttle.
... is the minimum population of any spaceship other than the standard four, such as the loafer and several flotillae.
... is the final population of the Octomino II sequence.
... is the default number of recent patterns and recent scripts in Golly.
... is the maximum number of a particular object where Catagolue credits a discovery for a new object.
... is the number of 6-cell patterns that evolve into a single tub, as recorded in Lifeline Volume 4.

≈20.71

... is the inverse frequency of the loaf in a Catagolue soup.

21

... is the period of the lowest odd true period glider gun.
... is the period of a pipsquirter that's a honey farm hassler.
... is the population of the smallest known predecessors for both gosper glider gun and Simkin glider gun in Life.
... is the expansion factor of Sawtooth 1212.
... is the number of states in StateInvestigator.
... is in the username of JP21.
... is in the username of Prime Raptor21.
... is the number of hexaplets that evolve into the century sequence.

≈21.85

... is the average number of objects per C1 Catagolue soup.

22

... had no known oscillators with that period until the 1990s, but now has several examples.
... was the smallest-known period gun until the period-20 glider gun was discovered.
... is the population of 22P36.
... is the number of generations difference between H and H'.
... is the lifespan of the cap.
... is the number of tetraplets.
... is in the name of Rule 22.

≈22.44

... is the inverse frequency of the boat in a Catagolue soup.

23

... is the period of David Hilbert, the first period-23 oscillator, discovered in 2019.
... is the mod of the twin bees shuttle.
... is the minimum known number of cells needed for quadratic growth per switch engine ping-pong.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, shows a ship-tie in its ash in Life. (There is also another temporary ship-tie as well) (xp0_tln0llv)
... is in the username of wwei23.
... is the smallest positive integer N for which the "Category: Strict still lifes with N cells" does not currently exist on LifeWiki.
... is in the waterbear's speed: (23,5)c/79.
... is the number of hexaplets that evolve into a honey farm.

24

... is the period of many hasslers and shuttles, in addition to dueling banjos.
... is the period of the most common LCM oscillator, pulsar on figure eight (boring p24 and uninteresting p24).
... is the population of the honey farm and fleet.
... is the final population of the Herschel.
... is the largest known n where a 1 by n rectangle is a spark in Life.
... is the number of neighbors (excluding the cell itself) in a range-2 Moore neighborhood.
... is the number of times a switch engine (by itself) reappears before being destroyed by its own exhaust.
... is the spacing between periods in many adjustable glider shuttles (e.g. 42+24N, 174+24N).
... is the inverse speed of the spaceship form of DOGun SaGaQR.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a boat in Life.
... is the number of heptominoes with any form of symmetry.

25

... is the period of the p25 pre-pulsar shuttle.
... is the number of 10-cell strict still lifes.
... is the lifespan of the traffic jam reaction.
... is the population of the smallest c/3 spaceships (25P3H1V0) and smallest non-glider c/4 spaceship (crab).
... is the expansion factor of Sawtooth 1846.
... is the number of objects the R-pentomino turns into, including gliders.
... is the default number of posts per page on the forums.

26

... is the number of neighbors (excluding the cell itself) in a range-1 3D Moore neighborhood.
... ticks from the pi-heptomino shows two other pi-heptominoes.
... is the population of Beluchenko's p40.
... is the number of states in LifeSuper.
... is the number of possible isotropic non-totalistic transitions in a hexagonal grid: 13 birth, 13 survival.
... is the only period where a dependent reflector but not an independent reflector is known.

27

... had no known oscillators of that period until the 1990s.
... is the period of 56P27 and the period-27 glider gun.
... is the initial population of the 14911M.
... is the number of still lifes with still life frequency greater than 1 in 100,000.
... is the smallest known period for c/3 rakes.
... is the number of heptominoes that die out completely.
... is the smallest known non-negative integer that, when written in Dean Hickerson's Life Digits font, shows a complete fleet in its ash in Life. (xp0_tln011v)

28

... is a common period for pre-pulsar shuttles, which can be made in many different ways.
... is the final population of the B-heptomino sequence.
... is the minimum population of the Kok's galaxy.
... is the population of all three phases of cross, one of which is a polyomino.
... is the population of the bakery.
... is the maximum population of any phase of the teardrop sequence.
... is the number of live cells in the 39×1 1-cell thick infinite growth pattern.
... generations after an R-pentomino forms a B-heptaplet, equivalent to the B-heptomino.
... is the minimum population of the copperhead.
... is the minimum population of any period-7 oscillator, of which four with this population are known.
... is the number of two-glider collisions that die out completely.
... is the maximum number of on cells for a still life that fits in a 7×7 box.
... is the number of 6-cell patterns that evolve into the century sequence, as recorded in Lifeline Volume 4.

29

... is a common period for pre-pulsar shuttles, which can be made in many different ways.
... is the number of cells the front edge of the B-heptomino moves forward from its initial position to its peak (it recedes one cell afterwards).
... is the number of 15-cell period-2 oscillators.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a clean blinker in Life. (xp0_tln0nlv)

30

... is a common period for pre-pulsar shuttles, which can be made in many different ways.
... is the period of the queen bee shuttle and the Gosper glider gun.
... is the minimum population of 30P5H2V0, the smallest 2c/5 orthogonal spaceship.
... is the default percentage for random fill in Golly.
... generations into the pi-heptomino sequence, a sibling of the pi-heptomino appears up front.
... is the minimum category for megasized patterns on Catagolue (30h).
... is the number of hexaplets that evolve into a single block.
... is the number of 5-cell patterns that evolve into a single loaf, as recorded in Lifeline Volume 4.

31

... is the period of Merzenich's p31, a very useful sparker.
... is the population of the large still life used in the original and Spartan version of Snark.
... is the number of oscillators with oscillator frequency greater than 1 in 1 billion.
... is the minimum population of Eater 3.
... is the numerator of 31c/240, the speed of several engineered spaceships.
... is the edge length of a D4_+1 or D8_1 Catagolue soup.

[32,100)

32

... is the period of gourmet and several other pi-turning reactions.
... was the number of gliders required for universal construction before being reduced to 17.
... is the most zoomed in scale in Golly (1:32).
... is the population of the smallest triple pseudo still life.
... is the number of generations it takes for the long table to become a pulsar.
... is the number of Margolus rules, excluding birth from all cells being empty.
... is the smallest known non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into the century sequence in Life. (xp0_llv0tln)
... is the edge length of a D4_+4 or D8_4 Catagolue soup.

≈32.51

... is the inverse frequency of the ship in a C1 Catagolue soup. Note that this is highly dependent on soup size, as most are created by Herschels extending beyond the initial area.

33

... is the lifespan of butterfly.
... is the period of Jason's p33.
... is the population of rattlesnake and dinner table, the smallest period-11 and period-12 oscillators.
... is the smallest period that's a multiple of 3 where a c/3 spaceship is not known.
... is the smallest "large still life" size that appears in #catagolue on Discord.
... is the smallest number (other than 1, 2, and 3) that doesn't appear in jslife's wicks folder.
... is the conduit with the smallest recovery time on LifeWiki (RF28B).
... is the number of gliders required to synthesize the weekender.
... is the number of hexaplets that evolve into a single beehive.
... is the number of 4-cell patterns with no irrelevant cells (78) that don't die out.

See also:

Block (xs4_33)

34

... has no known non-trivial oscillators with that period, but trivial ones are known.
... is the population of Merzenich's p64, the smallest known p64 oscillator.
... is the population of the smallest quad pseudo still life.
... is the maximum number of bits for which all strict still lifes have been enumerated.
... is the number of hexaplets that evolve into a single loaf.

35

... is the number of hexominoes.
... is the period of the p35 honey farm hassler and 50P35.
... was the number of gliders required for universal construction before being reduced to 32 and then 17.
... is the population of four eaters hassling lumps of muck, the smallest known p52 oscillator.
... is the number of 5-cell patterns that evolve into a single block, as recorded in Lifeline Volume 4.
... is the number of 6-cell patterns that evolve into a single toad, as recorded in Lifeline Volume 4.

36

... is the period of several shuttles and hasslers, including several with traffic lights, one with a LoM, five honey farm hasslers, and the p36 shuttle.
... is the minimum population of Jason's p22 and Gabriel's p138.
... is the minimum population of weekender, the smallest 2c/7 orthogonal spaceship.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a pond in Life. (xp0_llv0vlt)
... is the base-2 logarithm of the period of the 0E0P metacell.
... is the repeat time of the three quarters traffic light catalyst.
... is the maximum number of on cells for a still life that fits in an 8×8 box.

37

... is the period of Beluchenko's p37 and Beluchenko's other p37, but no other known oscillators.
... is the minimum population of 37P4H1V0, the smallest c/4 orthogonal spaceship.

38

... is the period of 44P38.
... is the largest even period for which no true-period gun is known.
... is the maximum period that the two pond and two block reaction could create, if any examples were known.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into exactly four blinkers (but not the traffic light) in Life. (xp0_llv0vlv)
... is the number of hexaplets that evolve into a traffic light.

39

... is the period of the p39 pi-heptomino hassler.
... is the number of 18-cell period-3 oscillators.
... is the minimum population of the Schick engine.
... is the final population of the I-heptomino.
... is the mimimum 1×N bounding box needed for infinite growth.
... is the period of the two-glider octomino on an 11×11 torus, but shifted.
... is the number of pentaplets (out of 94) that die completely.
... is the highest number of consecutive zeroes that apgcode originally supported.
... is the highest composite number where a gun of that period is not known.
... is the most entries a POTY has had.

40

... is the period of Beluchenko's p40.
... is the number of cells forward the R-pentomino moves from its leading edge, excluding the forward escaping gliders.
... is the final population of the 1 by 8 rectangle in Life.
... is the maximum population of the pentadecathlon.
... is the maximum population of the interchange sequence.
... is the maximum bounding box side length that apgcode originally supported.

41

... is the highest period where no oscillators are known.
... is the generation that the B-heptomino releases its first natural glider.
... is the smallest known n where a 1 by n rectangle shows pulsars in its ash in Life.
... is the population of the canonical eater2-eater5 weld in the Syringe.

42

... is the population of Achim's p144.
... is the answer to Life — wait, that's a different Life.

43

... is the repeat time of the Snark, allowing oscillators of periods 43 and higher to be constructed.
... is the recovery time of B60 if the FNG is removed.
... is the number of possible symmetries of an oscillator, taking into account both in a single generation and across generations.
... is the number of birth transitions (or survival transitions) in INT knight-move neighborhood rules.
... is the maximum number of on cells for a still life that fits in a 9×9 box.

44

... is the period of the period-44 glider gun, based on the p44 pi-heptomino hassler.
... is the population of p35 honey farm hassler, the smallest known p35 oscillator.
... is the population of 44P38, the only known p38 oscillator excluding variants.

45

... is the period of the period-45 glider gun.
... is the lifespan of the Z-hexomino.
... is the population of p32 honey farm hassler and p56 B-heptomino shuttle, the smallest known p32 and p56 oscillators.
... is the denominator of 17c/45, the speed of the caterpillar.
... is the population (live cells only) of the smallest known Garden of Eden.
... is the number of hivenudger variants.
... is the size of the largest asymmetric still life in a Catagolue soup.
... is the number of 4-cell patterns with no irrelevant cells (78) that die out completely.

46

... is the number of 11-cell still lifes.
... is the period of the twin bees shuttle, found very early. Many guns using this oscillator are known.
... is the number of 14-bit p2 pseudo-oscillators.
... is the maximum lifespan of a 6-cell object that dies out completely (Z-hexomino parent).

47

... is the period of the p47 pre-pulsar shuttle and the highest prime period in the original DRH oscillators collection.
... is the mod of the AK-94 gun; it was named after the real-life gun AK-47, where 94 is twice 47.
... is the expansion factor of Sawtooth 201.
... is the recovery time of Jormungant's G-to-H.
... is in the username wwei47.

48

... is the period of several shuttles and hasslers.
... is the period of the tiny period-48 glider gun.
... is the population of the smallest phase of the pulsar.
... is the population of Merzenich's p31, p54 shuttle, and 49P88, the smallest known p31 and p54 oscillators and the smallest known non-LCM p88.
... is the final population of the two-glider octomino.
... is the number of generations it takes for the switch engine to show itself again.
... is the lifespan of the line of 8 cells.
... is the number of neighbors (excluding the cell itself) in a range-3 Moore neighborhood.
... is the recovery time of PF35W.

49

... is the step time of R49.
... is the period of p49 skewed pulsar hassler.
... is the repeat time of the periodic glider duplicator and the period of one gun that can be created using it.

50

... is the period of the p50 traffic jam and the period-50 glider gun.
... is the anniversary year that this collection was made for.
... is the height of the lifecompetes grid.
... is the number of entries per page that Catagolue gives you for period 2-9 oscillators.

51

... is the period of Beluchenko's p51.
... is the number of birth transitions (or survival transitions) in INT rules: 1+2+6+10+13+10+6+2+1.
... is the period of one gun that can be made from the periodic glider duplicator.
... is the recovery time of Fx77 if the FNG is removed.

52

... is the period of two very small oscillators: four eaters hassling lumps of muck and four molds hassling eight blocks.
... is the maximum methuselah category (52k) on Catagolue currently.
... is the population of the original and Spartan version of Snark.
... is the mod of the B-52 bomber, which gives it its name.
... is the final population of the E-heptomino.
... is the recovery time of BLx19R.

53

... has a few known oscillators with that period, but they all involve Snarks.
... is the largest period for which no true-period gun is known.

54

... is the period of the period-54 glider gun.
... is the period of the p54 shuttle, found very early.
... is the smallest period Snark loop that allows four gliders instead of eight.
... is in the name of Rule 54.
... is the recovery time of Conduit 1 if the FNG is removed.
... is the maximum number of on cells for a still life that fits in a 10×10 box.

55

... is the period of the period-55 glider gun.
... is the period of the p55 pre-pulsar hassler.
... is the final population of the pi-heptomino.
... is the number of distinct 12-cell pseudo still lifes.
... is the number of birth transitions (or survival transitions) in range-2 cross neighborhood rules.
... is the recovery time of BRx46B.

56

... is the period of p56 B-heptomino shuttle.
... is the population of the medium phase of the pulsar.
... is the population of 56P27, the smallest known p27 oscillator.
... is the population of the largest still life (cloverleaf interchange and one other) in the C1 Catagolue census.
... is the final population of the 1 by 25 rectangle in Life.
... is the minimum population of 56P6H1V0, the smallest c/6 orthogonal spaceship.
... is the smallest 1×N line that releases any gliders.
... is the maximum population of the honey farm sequence.

57

... is the period of the former smallest period-57 glider gun and related oscillator, which involves two R-pentominoes colliding and being sparked by huge p3 domino sparkers.
... is the recovery time of Lx65 and SW-2.
... is the number of distinct 10-cell quasi still lifes.

x = 189, y = 105, rule = LifeHistory
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F3bobo23bF4bo32bF4bobo28bF4bo$2bD5b3DbF34bF4bo24bF3b2o32bF5bo29bF3b2o
$12bF34bF29bF37bF35bF$189F$12bF34bF29bF37bF35bF$12bF34bF29bF37bF35bF$
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D7bD2bo$12bF5b2o6bobo18bF5bobo6bo14bF5b2o6b2o22bF6bo7bo6bobo11bF5b2o6b
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#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

The known distinct 10-cell quasi still lifes.

(click above to open LifeViewer)

58

... is the period of the p58 pre-pulsar shuttle.
... is the minimum population of spider and 58P5H1V1, the smallest c/5 orthogonal and diagonal spaceships.
... is the recovery time of L112.
... is the smallest positive integer N for which the "Category: Oscillators with N cells" does not currently exist on LifeWiki.

59

... is the repeat time of Conduit 1, setting a lower bound for Herschel track periods.
... is the period of one of the oscillators in a Lua file that comes with Golly.
... is the recovery time of R49.

60

... is the period of a whole bunch of oscillators, most of which involve pentadecathlons and/or queen bee shuttles.
... is the mod of the Simkin glider gun, which uses two copies of B60.
... is the population of 60P312.
... is the maximum number of generations per second in LifeViewer with step size 1.
... is the recovery time of Fx153 and Lx84.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a loaf in Life.

61

... is the mod of a hypothetical sparked Z-hexomino (period 122), except no period-61 sparkers are known.
... is the reciprocal of the theoretical speed of a spaceship where two blocks and two traffic light predecessors plus two dot sparks shifted one cell in 61 generations minus the sparks.
... is the only period for which the Herschel loop introduced by David Buckingham in 1996 emits no gliders.
... is the recovery time of the BFx59H injector.

62

... is the period of 110P62.
... is the population of 62P7, a very useful sparker.
... is the recovery time of L156, a Herschel conduit emitting extra gliders other than the FNG.
... is the period of a line of 10 in a Margolus rule.

63

... is the lifespan of the stairstep hexomino.
... is the maximum population of the wing sequence.
... is in Paul Callahan's email address.
... is the recovery time of F117 and HFx58B.

64

... is the period of Merzenich's p64 and p64 thunderbird hassler.
... generations after a B-heptomino, another B-heptomino appears, which inspires R64 with this step time.
... is the minimum population of 64P2H1V0, the smallest period-2 c/2 spaceship.
... is the most zoomed-in scale in LifeViewer.
... is the maximum step size in LifeViewer.
... is the number of Margolus rules, including birth from all cells being empty.
... is the edge length of lifelib patterns.
... is the maximum number of on cells for a still life that fits in an 11×11 box.

65

... is the period of the p65 pre-pulsar shuttle.
... is the maximum population of the century sequence.
... is the time it takes for an R-pentomino descendant to reappear when sparked in a specific location (https://www.conwaylife.com/forums/viewtopic.php?t=&p=8872#p8872)
... is the step time of Lx65.

66

... is the number of 19-cell period-3 oscillators.
... is the period of the p66 R-pentomino hassler, which consists of eight R-pentominoes hitting each other and being sparked by either p3 or p6 oscillators.
... is the population of gourmet, the smallest known p32 oscillator.
... is the population of the p196 pi-heptomino hassler.
... is the population of the canonical syringe.
... is the number of cells backward the R-pentomino moves from its initial trailing edge, excluding the backward escaping gliders.
... is the lifespan of the two-glider collision that creates a traffic light and glider.
... is the recovery time of HF95P.

67

... is the smallest prime number for which no multiple of that number (including itself) appears in David Raucci's new oscillator collection. Herschel tracks do exist, however.
... is the smallest positive integer N for which the "Category: Oscillators with period N" does not currently exist on LifeWiki.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a blockade in Life.

68

... is the population of statorless p5, 68P16, and 68P32.

69

... is the generation that the R-pentomino releases its first natural glider.
... is the population in all phases of sixty-nine, an oscillator named after this fact.
... is a common sequence of apgcodes' first two digits.

70

... is the period of 78P70.
... is the population of centinal, the smallest known p100 oscillator.
... is the maximum population of the U-turner sequence.
... is the recovery time of Lx73.
... is the recovery time of the Bandersnatch.

71

... is the number of 2-glider collisions.
... is the number of 5-cell patterns that evolve into a single beehive, as recorded in Lifeline Volume 4.

72

... is the period two blockers hassling R-pentomino and p72 quasi-shuttle.
... is the population of the dense phase of the pulsar.
... is the smallest 1×N line that produces spark coils.
... is one of two yl_(number) apgcodes smaller than 100 that have appeared in asymmetric soups, the other being 96.
... is the maximum known megasized category on Catagolue (72h).
... is the final population of the two-glider mess.
... is the recovery time of SW1T43.

73

... is the step time of Lx73.

74

... is one of the overclock periods of the syringe.
... is the period of Raucci's p74.
... is the smallest even period for which a c/2 puffer is possible but not known.

75

... is one of the overclock periods of the syringe.
... is the period of 6 bits.
... is the number of 6-cell patterns that evolve into a pi-heptomino, as recorded in Lifeline Volume 4.

76

... is the period of p76 pi-heptomino hassler.
... is the lifespan of the procrastinator in its original form in Lifeline Volume 4.
... is the width of a line puffer that comes with Golly.
... is the population of 76P8.
... is the maximum number of on cells for a still life that fits in a 12×12 box.

77

... is the step time of Fx77.
... is the minimum population of 77P6H1V1, the smallest c/6 diagonal spaceship.
... is in the username of 77topaz.
... is both the period and the minimum population of 77P77.

78

... is the repeat time of the syringe, excluding overclocking.
... is the minimum population of any known stable or periodic object that is endemic to Life, consisting of a p196 pi-heptomino hassler and a pentadecathlon.
... is the number of 2-glider collisions in rules containing B2n but otherwise identical to Life.
... is the number of 15-bit p2 pseudo-oscillators.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a honey farm in Life.
... is the number of 4-cell patterns with no irrelevant cells.

79

... is the denominator of the waterbear's speed: (23,5)c/79.
... is the height of Sir Robin.

80

... is the number of neighbors (excluding the cell itself) in a range-4 Moore neighborhood.

82

... is the true period of the p41 wick stabilized with glider guns.
... is the population of p76 pi-heptomino hassler, the smallest known p76 oscillator.
... is the minimum gun period that allows the common beehive crystal to form.

83

... is the population of the p25 pre-pulsar shuttle.
... is the number of periods in the original DRH oscillator collection.
... is the minimum population of lobster, the smallest c/7 diagonal spaceship.
... is in the username of 83gv.
... is in the username of 83bismuth38.
... is the edge length of a solid 83×83 grid of on cells, which produces four unixes.
... is the height of the scholar.
... is the number of hexaplets with any form of symmetry.

84

... is the period of 52P84 and two oscillators found by David Raucci.
... is the population of p47 pre-pulsar shuttle, Raucci's p74, and 84P87, the smallest known p47, p74, and p87 oscillators.
... is the step time of Lx84.

85

... is the recovery time of the G4 receiver.

86

... is the number of transitions for birth and survival combined in INT knight-move neighborhood rules.
... is the number of characters needed to encode a rule in a MAP string for the range-1 Moore neighborhood.

87

... is the period of 84P87.
... is the population of 87P26, the smallest known p26 oscillator.

88

... is the period of 49P88 and the period-88 glider gun.
... is the period of one of the oscillators (queen bee turn) that comes with Golly.
... is the minimum number of cells that need to be specified for the smallest known Garden of Eden.

90

... is the period of a whole bunch of oscillators, most of which involve pentadecathlons and/or queen bee shuttles.
... is the number of 21-bit p3 pseudo-oscillators.
... is the recovery time of Lx200.
... is the maximum number of on cells for a still life that fits in a 13×13 box.
... is the smallest non-negative integer that, when written in Dean Hickerson's Life Digits font, evolves into a single glider in Life.

92

... is the period of several twin bees shuttles interactions and a traffic light hassler.
... is the population of Jason's p156.
... is the recovery time of Callahan G-to-H and Fx176.

94

... is the period of AK-94.
... is the number of pentaplets.
... is the lifespan of the longest two-glider collision that completely dies out.

95

... is the step time of conduit HF95P.

96

... is the period of the p96 Hans Leo hassler, which has eight different cell periods (1, 2, 3, 4, 8, 12, 48, 96).
... is the denominator of the switch engine speed, unsimplified (12c/96).
... is one of two yl_(number) apgcodes smaller than 100 that have appeared in asymmetric soups, the other being 72.
... is the period of the bomber in HighLife.

≈96.49

... is the average number of blinkers for each non-blinker oscillator.

98

... is the period of the R49 loop with two R-pentominoes.
... is the mod of the p196 pi-heptomino hassler.
... is the reciprocal of an elementary spaceship speed in HighLife.
... is the number of 16-cell period-2 oscillators.
... is the recovery time of Bx106.

[100,317)

100

... is the period of centinal and one particular honey farm hassler.
... is the recovery time of L122.
... is the width of the lifecompetes grid.
... is the final population of the smallest 1xn rectangle that produces escaping gliders.
... is the number of most common objects in Catagolue's statistics page.

101

... is the name of an oscillator: 101

102

... is the number of isotropic transitions: 51 birth, 51 survival.
... is the minimum population of the p44 pi-heptomino hassler.

≈102.86

... is the inverse frequency of the tub in a Catagolue soup.

103

... is the lifespan of the century.

104

... is the period of the B-52 bomber.
... is the minimum population of the smallest known period-177 oscillator.

... is the population of 104P9.
... is the maximum number of on cells for a still life that fits in a 14×14 box.

≈105.75

... is the inverse frequency of the pond in a Catagolue soup.

106

... is the lifespan of the block and glider.
... is the minimum period required for the rectifier to work.
... is the step time of conduit Bx106.
... is the mod of a 13-cell natural glider gun in Pedestrian Life.

107

... is the recovery time of R190.
... is the most stars ever given to an object in POTY.

108

... is the number of heptominoes.

107

... is the number of 6-cell patterns that evolve into a single glider, as recorded in Lifeline Volume 4.

110

... is the number of 13-cell pseudo still lifes.
... is a famous 1D Wolfram rule: Rule 110
... is the number of 16-bit pseudo still lifes.
... is the number of combined birth and survival conditions for a range-2 cross INT rule.

111

... is the height of the current optimal 678P7 sparker.

112

... is the minimum population of Beluchenko's p51.
... is the step time of conduit L112.

113

... is the period of nihonium.
... is the recovery time of RR56H.

116

... is the final population of the R-pentomino.
... is the lifespan of the original die hard in HighLife.
... is the step time of conduit F116.
... is the recovery time of BF20H, F166, and the Herschel transmitter.

117

... is the period of the period-117 glider gun.
... is the step time of conduit F117.
... is the recovery time of the Herschel receiver.

118

... is the number of 6-cell patterns that evolve into blockades, as recorded in Lifeline Volume 4.

119

... is the step time of conduit Fx119.
... is the maximum number of on cells for a still life that fits in a 15×15 box.

120

... is the period of several oscillators, many of which are period-multiplied, LCMs, or shuttles, but also includes a pi-heptomino hassler.
... is the period of the Simkin glider gun.
... is the highest period oscillator to appear naturally in an asymmetric soup.
... is in the name of NW31T120.
... is the recovery time of BNE14T30 when preceeded by BRx46B.
... is the period of an interchange hassler in HoneyLife.
... is the population of one of the period-7 sparkers (120P7).
... is the number of neighbors (excluding the cell itself) in a range-5 Moore neighborhood.

121

... is the number of 12-cell still lifes.
... is the expansion factor of sawtooth 177 and sawtooth 181.
... is the population of 121P7, a sparker.

122

... is the minimum population of David Hilbert.
... is the step time of conduit L122.

123

... is the name of an oscillator, excluding hyphens: 1-2-3
... is the generation number where the B-heptomino initially reaches its farthest forward point.
... is the mod of the symmetric p246 oscillator based on the period-246 glider gun.
... is the number of 6-cell patterns that evolve into a single pond, as recorded in Lifeline Volume 4.

124

... is the period of the p124 lumps of muck hassler.
... is the final population of gliders by the dozen.
... is the minimum population of Beluchenko's p37 and p130 shuttle.

125

... is the step time of conduit Bx125.

126

... is the period of a particular pi-heptomino hassler and associated glider gun (gun_126).

127

... is the RNG length in Dean Hickerson's p15240 PRNG.
... is the number of 6-cell patterns that evolve into honey farms, as recorded in Lifeline Volume 4.

128

... is the lifespan of the Herschel.
... is the period of a pi-heptomino hassler and wing shuttle.
... is the average number of cells filled in in a Catagolue soup.

130

... is the lifespan of the original die hard.
... is the period of p130 shuttle.
... is the recovery time of RF48H.

132

... is the maximum population of the two-glider octomino.
... is the period of 387P132 (a U-turner shuttle), one of the Hans Leo hasslers, and a period-tripled p44 pi-heptomino hassler.
... is the population of 132P7, a sparker.

133

... is the minimum period of a rectifier loop with only two gliders.

133

... is the maximum number of on cells for a still life that fits in a 16×16 box.

137

... is the height of the spaghetti monster.

138

... is the period of Gabriel's p138 and several twin bees shuttle (46×3) combinations.

139

... is the number of objects that acorn creates.

140

... is the number of objects that multum in parvo creates.

143

... is the period of the p143 Bandersnatch loop.

144

... is the period of Achim's p144 and its associated glider gun.

References

↑ https://conwaylife.com/ref/mniemiec/objcount.htm

External links

Fun Facts (discussion thread) at the ConwayLife.com forums

[1] ttps://conwaylife.com/ref/mniemiec/objcount.htm

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