Catagolue
Catagolue | ||
| ||
Conducted by | Adam P. Goucher | |
---|---|---|
Type | Distributed | |
Contributors | >100[note 1] | |
Year(s) | 2015 – present | |
Status | Ongoing | |
Parameters | ||
Universe | Infinite plane | |
Soup size | 16×16[note 2] | |
Initial soup density | 0.5[note 3] | |
Soups searched | ≥473,553,334,557,971[note 4] | |
Results | ||
Total objects | ≥5,150,601,341,156,051[note 5] | |
Distinct objects | ≥475,121[note 6] |
Catagolue[note 7] is an ongoing distributed census of naturally occurring ash objects conducted by Adam P. Goucher, started in late February 2015. The census is primarily focused on asymmetric soups in Conway's Life, but supports arbitrary outer-totalistic and non-totalistic rules and a variety of symmetries.[endpoint 1] Over 100 users have contributed to the census.
The results are obtained by evolving random soups of size 16×16 with density 0.5 in an infinite planar universe; as of September 26, 2023, at least 473,553,334,557,971[note 4] soups have been investigated by the census's participants, yielding a total of at least 5,150,601,341,156,051[note 5] objects of 475,121[note 6] distinct types. Submissions of new results (called hauls) are subjected to both statistical tests and peer-review by other participants before being committed to the census.
Catagolue is primarily fed by apgsearch 5.x (apgluxe). Each resulting object is identified by apgsearch by its unique apgcode; the Catagolue website gives overviews over the various classes of objects found, and provides further information as well as sample soups for each object.[endpoint 2] A simple text-based interface for querying sample soups, including their owners, also exists.[endpoint 3]
History
- Main article: History of Catagolue
Catagolue became operative on February 20, 2015.[1] The B3/S23/C1 census reached a total of one trillion objects on April 24, 2015,[2] ten trillion objects on September 2, 2015,[3] 100 trillion objects on June 20, 2016,[4] and 200 trillion objects on May 16, 2017.
Results in Conway's Game of Life
- Also see: apgsearch#Notable patterns
Asymmetric soups
- Also see: Most common objects on Catagolue
The default rule/symmetry combination for apgsearch, B3/S23/C1, is by far the most popular census on Catagolue. As of September 26, 2023, at least 473,553,334,557,971 soups have been investigated by the census's participants, yielding a total of at least 5,150,601,341,156,051 objects of 475,121 distinct types.[5]
A view of the combined statistics for the C1 and G1 symmetries can be seen in the asymmetric-soups census.[6]
Click on "Expand" to the right to view full statistics for B3/S23/C1 and B3/S23/G1 combined.
- Still lifes:
- All still lifes up to 14 bits.
- 1,352 of the 1,353 15-bit still lifes.
- 3,208 of the 3,286 16-bit still lifes.
- 6,821 of the 7,773 17-bit still lifes.
- 13,150 of the 19,044 18-bit still lifes.
- 21,951 of the 45,759 19-bit still lifes.
- 32,707 of the 112,243 20-bit still lifes.
- 43,189 of the 273,188 21-bit still lifes.
- 51,668 of the 672,172 22-bit still lifes.
- 54,820 of the 1,646,147 23-bit still lifes.
- 53,979 of the 4,051,732 24-bit still lifes.
- 47,142 of the 9,971,377 25-bit still lifes.
- 39,840 of the 24,619,307 26-bit still lifes.
- 30,181 of the 60,823,008 27-bit still lifes.
- 22,522 of the 150,613,157 28-bit still lifes.
- 14,976 of the 373,188,952 29-bit still lifes.
- 10,100 of the 926,068,847 30-bit still lifes.
- 5,936 of the 2,299,616,637 31-bit still lifes.
- 3,653 of the 5,716,948,683 32-bit still lifes.
- 1,948 of the 14,223,867,298 33-bit still lifes.
- 1,205 34-bit still lifes.
- 601 35-bit still lifes.
- 398 36-bit still lifes.
- 135 37-bit still lifes.
- 136 38-bit still lifes.
- 44 39-bit still lifes.
- 57 40-bit still lifes.
- 14 41-bit still lifes.
- 20 42-bit still lifes.
- 4 43-bit still lifes.
- 13 44-bit still lifes.
- 3 45-bit still lifes (one of which is Cthulhu).
- 9 D2_+1-symmetric 46-bit still lifes (including professor and an inflected variant of it).
- 1 47-bit still life.
- 4 48-bit still lifes.
- 1 50-bit still life.
- 2 56-bit still lifes (cloverleaf interchange and one other).
- Oscillators:
- 8,559 period 2 oscillators (including phoenix 1, cyclic, and quad).
- 1,668 period 3 oscillators (including trice tongs, all three keys variants, and pulsar quadrant).
- 124 period 4 oscillators (including monogram, confused eaters, and many stator variants of gray counter).
- 41 period 5 oscillators (including Elkies' p5 and multiple stator variants of heart, Silver's p5, and hooks).
- 29 period 6 oscillators (including unix on clock).
- 23 period 8 oscillators (including Achim's p8, Tim Coe's p8 and smiley).
- 1 period 14 oscillator (tumbler).
- 108 period 15 oscillators (all involving pentadecathlon(s) in some way).
- 1 period 16 oscillator (Rob's p16).
- 2 period 24 oscillators (boring p24 and uninteresting p24).
- 193 period 30 oscillators (including Berger's p30 and symmetric queen bee shuttles 1 and 2).
- 9 period 46 oscillators. (all variants of the twin bees shuttle).
- 2 period 120 oscillators. (figure eight on pentadecathlon in two ways)
- Spaceships:
- 46 period 4 spaceships (including sidecar, MWSS and HWSS dragging block, and all 39 non-trivial flotillae of two standard spaceships[note 8]).
- 1 period 7 spaceship (the loafer).
- 1 period 12 spaceship (the Schick engine).
- 1 period 16 spaceship (the Coe ship).
- Long-lived patterns:[note 9]
- 2,885,569 methuselahs lasting between 25,000 and 25,999 generations.[note 10]
- 1,557,832 methuselahs lasting between 26,000 and 26,999 generations.
- 866,925 methuselahs lasting between 27,000 and 27,999 generations.
- 459,586 methuselahs lasting between 28,000 and 28,999 generations.
- 324,279 methuselahs lasting between 29,000 and 29,999 generations.[note 11]
- 140,451 methuselahs lasting between 30,000 and 30,999 generations.
- 77,708 methuselahs lasting between 31,000 and 31,999 generations.
- 41,867 methuselahs lasting between 32,000 and 32,999 generations.
- 23,365 methuselahs lasting between 33,000 and 33,999 generations.
- 12,645 methuselahs lasting between 34,000 and 34,999 generations.
- 7,018 methuselahs lasting between 35,000 and 35,999 generations.
- 3,653 methuselahs lasting between 36,000 and 36,999 generations.
- 2,316 methuselahs lasting between 37,000 and 37,999 generations.
- 1,210 methuselahs lasting between 38,000 and 38,999 generations.
- 674 methuselahs lasting between 39,000 and 39,999 generations.
- 357 methuselahs lasting between 40,000 and 40,999 generations.
- 257 methuselahs lasting between 41,000 and 41,999 generations.
- 129 methuselahs lasting between 42,000 and 42,999 generations (including 42100M and Homer).
- 63 methuselahs lasting between 43,000 and 43,999 generations.
- 31 methuselahs lasting between 44,000 and 44,999 generations.
- 14 methuselahs lasting between 45,000 and 45,999 generations.
- 13 methuselahs lasting between 46,000 and 46,999 generations.
- 12 methuselahs lasting between 47,000 and 47,999 generations.
- 2 methuselahs lasting between 48,000 and 48,999 generations.
- 2 methuselahs lasting between 49,000 and 49,999 generations.
- 4 methuselahs lasting between 50,000 and 50,999 generations.
- 1 methuselah lasting between 51,000 and 51,999 generations.
- 1 methuselah lasting between 52,000 and 52,999 generations.
- 5,352,252 diehards lasting between 500 and 599 generations.
- 688,781 diehards lasting between 600 and 699 generations.
- 92,296 diehards lasting between 700 and 799 generations.
- 15,301 diehards lasting between 800 and 899 generations.
- 2,571 diehards lasting between 900 and 999 generations.
- 474 diehards lasting between 1,000 and 1,099 generations.
- 98 diehards lasting between 1,100 and 1,199 generations.
- 33 diehards lasting between 1,200 and 1,299 generations.
- 6 diehards lasting between 1,300 and 1,399 generations.
- 45,283,159 soups with a final population of between 3,000 and 3,099.
- 28,836,558 soups with a final population of between 3,100 and 3,199.
- 18,552,774 soups with a final population of between 3,200 and 3,299.
- 11,983,654 soups with a final population of between 3,300 and 3,399.
- 7,788,401 soups with a final population of between 3,400 and 3,499.
- 4,880,756 soups with a final population of between 3,500 and 3,599.
- 3,095,218 soups with a final population of between 3,600 and 3,699.
- 2,008,239 soups with a final population of between 3,700 and 3,799.
- 1,295,559 soups with a final population of between 3,800 and 3,899.
- 837,885 soups with a final population of between 3,900 and 3,999.
- 537,586 soups with a final population of between 4,000 and 4,099.
- 333,104 soups with a final population of between 4,100 and 4,199.
- 212,083 soups with a final population of between 4,200 and 4,299.
- 138,450 soups with a final population of between 4,300 and 4,399.
- 89,079 soups with a final population of between 4,400 and 4,499.
- 58,052 soups with a final population of between 4,500 and 4,599.
- 37,130 soups with a final population of between 4,600 and 4,699.
- 23,83 soups with a final population of between 4,700 and 4,799.
- 15,537 soups with a final population of between 4,800 and 4,899.
- 9,585 soups with a final population of between 4,900 and 4,999.
- 6,017 soups with a final population of between 5,000 and 5,099.
- 4,197 soups with a final population of between 5,100 and 5,199.
- 2,813 soups with a final population of between 5,200 and 5,299.
- 1,725 soups with a final population of between 5,300 and 5,399.
- 1,128 soups with a final population of between 5,400 and 5,499.
- 750 soups with a final population of between 5,500 and 5,599.
- 442 soups with a final population of between 5,600 and 5,699.
- 393 soups with a final population of between 5,700 and 5,799.
- 202 soups with a final population of between 5,800 and 5,899.
- 108 soups with a final population of between 5,900 and 5,999.
- 77 soups with a final population of between 6,000 and 6,099.
- 58 soups with a final population of between 6,100 and 6,199.
- 33 soups with a final population of between 6,200 and 6,299.
- 32 soups with a final population of between 6,300 and 6,399.
- 12 soups with a final population of between 6,400 and 6,499.
- 8 soups with a final population of between 6,500 and 6,599.
- 7 soups with a final population of between 6,600 and 6,699.
- 6 soups with a final population of between 6,700 and 6,799.
- 5 soups with a final population of between 6,800 and 6,899.
- 1 soup with a final population of between 7,000 and 7,099.
- 1 soup with a final population of between 7,100 and 7,199.
- 1 soup with a final population of between 7,200 and 7,299.
- Other patterns:
- 1438 Infinite-growth patterns, such as the pony express, birthday puffer, as well as numerous unnamed puffers such as yl1152_2016_06_24 and yl4608_2015_11_28.
Plots
![]() Scatter plot of distinct still life counts vs. populations in B3/S23/C1 as of July 15, 2017; the blue line indicates the total number of distinct still lifes per population ( ![]() |
All symmetries
As of May 7, 2023, at least 891,194,330,567,945 soups have been investigated in all symmetries[note 12] of B3/S23, yielding a combined total of at least 11,603,725,110,595,345 objects of 3,488,236 distinct types.[note 13]
Click on "Expand" to the right to view full statistics for higher symmetries of B3/S23.
- Still lifes:
- All still lifes up to 15 bits.
- 3,254 of the 3,286 16-bit still lifes.
- 7,085 of the 7,773 17-bit still lifes.
- ...
- 10 D8-symmetric 276-bit still lifes.
- 35 D8-symmetric 280-bit still lifes.
- 3 D8-symmetric 284-bit still lifes.
- 22 D8-symmetric 288-bit still lifes.
- 13 D8-symmetric 296-bit still lifes.
- 6 D8-symmetric 304-bit still lifes.
- 2 D8-symmetric 308-bit still lifes.
- 2 D8-symmetric 312-bit still lifes.
- 1 D8-symmetric 316-bit still life.
- 2 D8-symmetric 320-bit still lifes.
- 1 D8-symmetric 344-bit still life.
- Oscillators:
- 387,208 period 2 oscillators.
- 47,456 period 3 oscillators.
- 15,392 period 4 oscillators.
- 7,280 period 5 oscillators.
- 6,342 period 6 oscillators.
- 967 period 7 oscillators.
- 681 period 8 oscillators.
- 325 period 9 oscillators (including the worker bee, the snacker, and 68P9).
- 417 period 10 oscillators (including introvert, extrovert, 24P10 and two variants of 128P10.2).
- 112 period 11 oscillators (including Achim's p11, several variants of Jason's p11, and several four-fold variants of 38P11.1).
- 45 period 12 oscillators (including 44P12.3 and several trivial oscillators).
- 2 period 13 oscillators (Beluchenko's p13 and a block hassler based on it).
- 40 period 14 oscillators (including 34P14 shuttle).
- 1,532 period 15 oscillators (including Karel's p15 and 112P15).
- 10 period 16 oscillators (Achim's p16, Achim's other p16 with four additional variants, Rich's p16, 68P16, Charity's p16, and Grid's p16).
- 13 period 18 oscillators (Four eaters hassling four bookends and several stator variants of it, a honey farm hassler, and several that are a trivial p9 and p2).
- 6 period 20 oscillators (34P20 and several trivial p4 and p5 combinations).
- 5 period 21 oscillators (32P21, 72P21, and three trivial p3/p7s).
- 3 period 22 oscillators (48P22.1 and Jason's p22 plus a variant of Jason's p22).
- 50 period 24 oscillators (including the p24 shuttle and dueling banjos).
- 3 period 25 oscillators (30P25 and a variant, plus Charity's p25).
- 2 period 27 oscillators (56P27 and a stator variant).
- 3 period 28 oscillators (Karel's p28, a stator variant of it, and a p28 pre-pulsar-shuttle variant).
- 22 period 29 oscillators (all variants of the p29 pre-pulsar-shuttle).
- 2,144 period 30 oscillators (including Eureka and three variants thereof).
- 1 period 31 oscillator (Merzenich's p31).
- 1 period 32 oscillator (68P32.1).
- 1 period 35 oscillator (a trivial p5 and p7).
- 55 period 36 oscillators (including 22P36 and p36 shuttle).
- 6 period 37 oscillators (all variants of Beluchenko's p37).
- 15 period 40 oscillators (Beluchenko's p40 in both basic form and with extra blocks, and several LCM(8,5) oscillators).
- 3 period 45 oscillators (pentadecathlon on snacker in three variants).
- 661 period 46 oscillators.
- 1 period 51 oscillator (Beluchenko's p51).
- 5 period 54 oscillators (all variants of the p54 shuttle).
- 1 period 56 oscillator (figure eight on Karel's p28).
- 1 period 58 oscillator (a trivial p2 and p29).
- 44 period 60 oscillators.
- 3 period 64 oscillators (p64 thunderbird hassler, Merzenich's p64, and a Merzenich's p64 variant).
- 1 period 86 oscillator (76P86).
- 49 period 120 oscillators (all of which are unnamed oscillators composed of figure eights and pentadecathlons).
- 16 period 138 oscillators (mostly variants of Gabriel's p138, but includes trivial twin bees shuttle with p3s as stabilisation).
- 1 period 144 oscillator (Achim's p144).
- 1 period 177 oscillator (Karel's p177).[note 14]
- 6 period 312 oscillators (five variants of 60P312).
- Spaceships:
- 1 period 3 spaceship (dart).
- 316 period 4 spaceships (including x66, Big A, and a number of improperly-separated pseudo-flotillae).
- 1 period 5 spaceship (44P5H2V0).
- 1 period 7 spaceship (loafer).
- 1 period 10 spaceship (copperhead).
- 4 period 12 spaceships (the lightweight, middleweight and heavyweight Schick engine).
- 1 period 16 spaceship (the Coe ship).
- Long-lived patterns:[note 9]
- 3,222,382 methuselahs lasting between 25,000 and 25,999 generations.[note 10]
- 1,742,255 methuselahs lasting between 26,000 and 26,999 generations.
- 967,354 methuselahs lasting between 27,000 and 27,999 generations.
- 516,948 methuselahs lasting between 28,000 and 28,999 generations.
- 358,973 methuselahs lasting between 29,000 and 29,999 generations.
- 160,707 methuselahs lasting between 30,000 and 30,999 generations.
- 87,281 methuselahs lasting between 31,000 and 31,999 generations.
- 46,995 methuselahs lasting between 32,000 and 32,999 generations.
- 26,225 methuselahs lasting between 33,000 and 33,999 generations.
- 14,198 methuselahs lasting between 34,000 and 34,999 generations.
- 7,931 methuselahs lasting between 35,000 and 35,999 generations.
- 4,192 methuselahs lasting between 36,000 and 36,999 generations.
- 2,596 methuselahs lasting between 37,000 and 37,999 generations.
- 1,359 methuselahs lasting between 38,000 and 38,999 generations.
- 764 methuselahs lasting between 39,000 and 39,999 generations.
- 398 methuselahs lasting between 40,000 and 40,999 generations.
- 278 methuselahs lasting between 41,000 and 41,999 generations.
- 136 methuselahs lasting between 42,000 and 42,999 generations.
- 76 methuselahs lasting between 43,000 and 43,999 generations.
- 49 methuselahs lasting between 44,000 and 44,999 generations.
- 16 methuselahs lasting between 45,000 and 45,999 generations.
- 16 methuselahs lasting between 46,000 and 46,999 generations.
- 14 methuselahs lasting between 47,000 and 47,999 generations.
- 2 methuselahs lasting between 48,000 and 48,999 generations, all asymmetric.
- 4 methuselahs lasting between 49,000 and 49,999 generations.
- 4 methuselahs lasting between 50,000 and 50,999 generations, all asymmetric.
- 1 methuselah lasting between 52,000 and 52,999 generations, in C1.
- 1 methuselah lasting between 53,000 and 53,999 generations, in D4_x1.
- 2 methuselahs lasting between 128,000 and 128,999 generations, caused by a switch engine pair that gets killed by a glider; both soups have the same mechanism.
- 1 methuselah lasting between 132,000 and 132,999 generations, caused by a switch engine pair that gets killed by a glider.
- 481,656,197 diehards lasting between 500 and 599 generations.
- 110,994,097 diehards lasting between 600 and 699 generations.
- 27,209,341 diehards lasting between 700 and 799 generations.
- 7,729,047 diehards lasting between 800 and 899 generations.
- 2,198,520 diehards lasting between 900 and 999 generations.
- 690,885 diehards lasting between 1,000 and 1,099 generations.
- 221,840 diehards lasting between 1,100 and 1,199 generations.
- 71,167 diehards lasting between 1,200 and 1,299 generations.
- 47,928 diehards lasting between 1,300 and 1,399 generations.
- 45,403 diehards lasting between 1,400 and 1,499 generations.
- 6,130 diehards lasting between 1,500 and 1,599 generations.
- 1,479 diehards lasting between 1,600 and 1,699 generations.
- 570 diehards lasting between 1,700 and 1,799 generations.
- 217 diehards lasting between 1,800 and 1,899 generations.
- 65 diehards lasting between 1,900 and 1,999 generations.
- 28 diehards lasting between 2,000 and 2,099 generations.
- 18 diehards lasting between 2,100 and 2,199 generations.
- 8 diehards lasting between 2,200 and 2,299 generations.
- 1 diehard lasting between 2,300 and 2,399 generations.
- 2 diehards lasting between 2,400 and 2,499 generations.
- 1 diehard lasting between 2,500 and 2,599 generations.
- 4,430,649,020 soups with a final population of between 3,000 and 3,099.
- 3,669,824,828 soups with a final population of between 3,100 and 3,199.
- 3,085,307,794 soups with a final population of between 3,200 and 3,299.
- 2,633,571,786 soups with a final population of between 3,300 and 3,399.
- 2,195,384,095 soups with a final population of between 3,400 and 3,499.
- 1,859,540,625 soups with a final population of between 3,500 and 3,599.
- ...
- 6 soups with a final population of between 20,000 and 20,099.
- 2 soups with a final population of between 20,100 and 20,199.
- 1 soup with a final population of between 20,200 and 20,299.
- 1 soup with a final population of between 20,500 and 20,599.
- 1 soup with a final population of between 21,100 and 21,199.
- 1 soup with a final population of between 21,400 and 21,499.
- 2 soups with a final population of between 22,100 and 22,199.
- 1 soup with a final population of between 24,700 and 24,799.
- 1 soup with a final population of between 27,700 and 27,799, caused by a switch engine pair that gets killed by a glider.
- 1 soup with a final population of between 29,800 and 29,899, caused by a switch engine pair that gets killed by a glider.
- 1 soup with a final population of between 32,700 and 32,799, caused by a switch engine pair that gets killed by a glider.
- 1 soup with a final population of between 50,700 and 50,799, caused by a switch engine pair that gets killed by a glider.
- 2 soups with a final population of between 80,800 and 80,899, caused by a switch engine pair that gets killed by a glider; both soups have the same mechanism.
- 1 soup with a final population of between 85,700 and 85,799, caused by a switch engine pair that gets killed by a glider.
- Other patterns:
- 2233 Infinite-growth patterns (including the pufferfish and a symmetric variation of Blinker puffer 1[8])
Patterns seen but not properly recognized by the client (see Limitations below) include a D8_1-symmetric variant of the p29 pre-pulsar shuttle.
Plots
![]() Scatter plot of distinct still life counts vs. populations in B3/S23 (higher symmetries) as of July 15, 2017; the blue line indicates the total number of distinct still lifes per population ( ![]() |
Slow salvos
Catagolue started collecting data on objects created by slow salvos on January 13, 2017, using the SS pseudo-symmetry; data was generated by the HoneySearch utility.
As of April 27, 2019, slow salvos have yielded a total of at least 556,856,180,742 objects of 2,667 distinct types.
Click on "Expand" to the right to view full slow salvo statistics.
- Still lifes:
- All still lifes up to 10 bits.
- 43 of the 46 11-bit still lifes.
- 96 of the 121 12-bit still lifes.
- 144 of the 240 13-bit still lifes.
- 254 of the 619 14-bit still lifes.
- 292 of the 1,353 15-bit still lifes.
- 323 of the 3,286 16-bit still lifes.
- 296 of the 7,773 17-bit still lifes.
- 284 of the 19,044 18-bit still lifes.
- 231 of the 45,759 19-bit still lifes.
- 207 of the 112,243 20-bit still lifes.
- 127 of the 273,188 21-bit still lifes.
- 126 of the 672,172 22-bit still lifes.
- 59 of the 1,646,147 23-bit still lifes.
- 34 of the 4,051,732 24-bit still lifes.
- 14 of the 9,971,377 25-bit still lifes.
- 14 of the 24,619,307 26-bit still lifes.
- 5 of the 60,823,008 27-bit still lifes.
- 6 of the 150,613,157 28-bit still lifes.
- 3 of the 926,068,847 30-bit still lifes.
- 1 of the 2,299,616,637 31-bit still lifes.
- 2 of the 5,716,948,683 32-bit still lifes.
- 1 40-bit still life.
- Oscillators:
- 49 period 2 oscillators.
Plots
![]() Scatter plot of distinct still life counts vs. populations in B3/S23 (slow salvos) as of July 15, 2017; the blue line indicates the total number of distinct still lifes per population ( ![]() |
Other rules
Catagolue also collects census data on various rules other than Conway's Game of Life. In practice, only non-exploding rules can reasonably be investigated unless a certain symmetry can be assured to never explode.
As of January 15, 2019, Catagolue officially supports the following types of cellular automata:
- Arbitrary outer-totalistic rules (range 1 to 5).
- Isotropic non-totalistic rules. (in Hensel notation)
- Isotropic von Neumann neighbourhood rules. (implicitly by isotropic non-totalistic Moore neighbourhood rules)
- Larger than Life rules. (up to range 7)
- Totalistic and isotropic hexagonal neighbourhood rules.
- Generations variants of all rules listed above.
- Outer-totalistic B0 rules with two states.
- BSFKL rules.
- Deficient rules.
- Extended Generations rules.
- Custom Golly ruletables.
23,344 rules have been investigated at as of September 26, 2023, including the following close Life variants:
- B3/S238 (EightLife)
- B36/S23 (HighLife)
- B368/S238 (LowDeath)
- B38/S23 (Pedestrian Life)
- B38/S238 (HoneyLife)
- B3/S2-i34q (tlife)
- B36/S2-i34q (tHighLife)
- B37/S2-i34q (tDryLife)
- B38/S2-i34q (tpedestrianlife)
Other notable rules investigated include:
- B3/S12 (Flock)
- B3/S13 (LowLife)
- B345/S5 (Long Life)
- B36/S125 (2×2)
- B3678/S34678 (Day & Night)
- B368/S245 (Morley)
- B2-a/S12 (Just Friends)
- B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e (Snowflakes)
- R5,C0,M1,S34..58,B34..45,NM (Bosco's Rule)
A cached list of all rule-symmetry combinations investigated, sorted by last update, is also available.[9][endpoint 4]
Haul verification
Hauls for official censuses of Life-like rules with at least one trillion objects are subject to statistical verification and peer review before being committed in order to avoid false data being added to the census. As of September 28, 2023, this includes G1, G2_1, G2_2, G2_4, i4x64, and all official apgsearch-supported CPU symmetries (excluding gutter symmetries) in Conway's Game of Life as well as C1 censuses for Life-like rules B38/S23 (Pedestrian Life), B3/S238 (EightLife), B36/S125 (2×2), B3/S01367, B35/S136, B35/S23 (Grounded Life), B3/S12 (Flock), B3/S01357, and B3/S2.
Catagolue as a generic pattern inventory
Although primarily used for soup-searching in practice, Catagolue can be used as a generic pattern inventory/warehouse, as shown by e.g. the slow salvo data it collected (see above). Users are encouraged come up with their own rulestrings, symmetry types, and object codes:
- [Catagolue] basically accepts anything that you choose to pass off as a rule name, symmetry type, and apgcode. If you make a search program which produces haul files for your favourite CA, then Catagolue will happily build a distributed census [...]
- The search program needn't even be a soup search: if you have a depth-first search program such as gfind or zfind, and you have a correspondence between positions in the search tree and alphanumeric strings (where prefixes correspond to ancestors), then you can conduct a distributed search for (say) width-20 c/6 spaceships using the existing Catagolue framework. If you incorporate all of zfind's command-line hyperparameters (period, offset, memory size, etc.) into the beginning of this string, then you can simply have a 'symmetry' called zfind whose tabulations will include things such as xq7, xq10, xq19 (potentially!), etc. And this will work without changing Catagolue in any way.
This is simplified by the stdin symmetries of apgsearch, which accept RLEs from standard input to be used in lieu of random soups. Arie Paap found a c/4 diagonal tubstretcher in this manner by piping the output of ikpx into apgsearch.[11] This was notable in that the tubstretcher could neither be found by ikpx (which can only find spaceships) nor apgsearch (searching random soups) in isolation. ikpx 2.2 natively supports the uploading of search results, including both completed and the resulting ash of partial results, to the ikpx2_stdin symmetry via apgsearch, a feature which John Winston Garth used to find a period-21 weekender tagalong known as doo-dah.
Glider syntheses
Catagolue contains a database of the cheapest known glider syntheses of various objects (including pseudo-objects) retrieved from both Shinjuku and LifeWiki, and displays them on the respective object page. A list of objects for which syntheses are available is compiled in the synthesis-costs symmetry of B3/S23.[12]
The "Syntheses" page of Catagolue transcludes the synthesis-costs census and also includes a text box in which users can submit synthesis components in RLE form to be added to Catagolue's readsynth queue.[endpoint 5] These RLE files are automatically parsed and interpreted by Catagolue's thrice-daily update process, and added to the site if they contain new or improved syntheses.[note 15]
Glider guns
Catagolue also features a database of both pseudo-period and true-period glider guns, currently located in the gun and guntrue tabulations of synthesis-costs respectively.[15][16] Bounding box reductions to these guns can also be submitted through the submission box.
Contributor engagement
Contributors to Catagolue have user pages tracking their contributions to the main Conway Life census, B3/S23/C1.[endpoint 6] In addition to providing an overview of number of objects submitted recently compared to other users, user pages list important discoveries and awarded badges.
Users are credited for discoveries if they find one of the first 20 occurrences of an interesting object: any spaceship (other than the glider), any oscillator, any linear growth pattern, or any sufficiently large (≥30-bit) still life.
The following badges are currently awarded for contributions to B3/S23/C1:
Conchita[note 16]: find a soup containing a phoenix.
Gemini: discover a new twin bees shuttle variant.
Gigamyriad: contribute 1013 objects.
Hitchhiker[note 17]: find a soup containing a Kok's galaxy.[17][note 18]
Limitless: observe a new natural infinite-growth pattern.
Loafer: discover a natural loafer.
Monarchist: discover a new queen bee shuttle variant.
Sprotsmanship[note 19]: contribute one third of a trillion objects to a different rule or symmetry.
Trillionaire: contribute one trillion objects.
Voyager: find one of the first twenty occurrences of a spaceship.
Backups
Catagolue census data for the main Conway Life census, B3/S23/C1, is backed up remotely every day at 17:29;[note 20] the first such backup was made on September 24, 2015. For other symmetries or rules, a remote backup may be instigated manually by calling the backupcron endpoint,[endpoint 7] with the desired rule and symmetry. Remote backups can be viewed by appending the date (in ISO 8601 format) to the main census URL.[endpoint 8]
Backups of the synthesis-costs census are automatically made three times a month, specifically on dates ending with a "5", and can be accessed using the year-month-day method.[endpoint 8]
Local backups of Catagolue census data may be made by calling the textcensus endpoint for the desired rule and symmetry.[endpoint 9] The list of objects returned can be sorted by object frequency,[endpoint 10] but this should be avoided when possible to reduce server load.[18] It is also possible to restrict objects returned to a certain prefix,[endpoint 11] or to query the number of objects, grouped by prefix and including a total.[endpoint 12]
Limitations
- Also see: apgsearch#Limitations
Server
Catagolue does not accept hauls exceeding 1 MiB; additionally, hauls must contains a minimum of 10,000 soups or 250,000 objects.[19]
Each tabulation on Catagolue also has a maximum uncompressed size of 32 MB.[20][note 21]
Web frontend
Although Catagolue verifies that an object in a given rule behaves as specified by its code, the site makes no attempt to reject non-canonical codes (e.g. xp2_222 rather than xp2_7 for the blinker); furthermore, the site accepts various anomalous prefixes (e.g. xp0 and xq0). No attempt is made to normalize or reject anomalous rules (e.g. "b33s23"), although a feature is planned to clear out censuses which do not adhere to the Catagolue naming conventions.
Catagolue's hashsoup functionality, used for retrieving sample soups from the database,[endpoint 13] only recognizes official square grid symmetries and D2_xo,[note 22] and defaults to C1 for all others. Soups with symmetries exclusive to the hexagonal grid (i.e. containing C3, C6, D6, or D12) must instead be reconstructed using lifelib.[23]
See also
- Lists of common objects:
- Other censuses:
- Related topics:
- Tutorials:
Notes
- ↑ All users who contributed to any rule/symmetry.
- ↑ For C1/G1 and D2_x only. Other symmetries, including custom symmetries, have different soup dimensions.
- ↑ Soups with density 0.25 and 0.75 were also investigated to a minor extent; see apgsearch#Higher symmetries.
- ↑ 4.0 4.1 C1 and G1 only.
- ↑ 5.0 5.1 C1 and a small "interesting" subset of G1 soups only; see apgsearch#GPU searching for more information about G1 and how only some soups are actually censused.
- ↑ 6.0 6.1 C1 only.
- ↑ The name "Catagolue" is an amalgam of "Catalogue" and "GoL" (Game of Life), pronounced ka-tuh-gaal.
- ↑ Two of these flotillae (MWSS on HWSS 15 and HWSS on HWSS 10) have skewed frequency statistics in the B3/S23/C1 census, due to both of them formerly not being detected properly by apgsearch.[7] This issue has since been fixed.
- ↑ 9.0 9.1 Data on ordinary methuselahs is only collected by apgsearch v4.54 and above, diehards by v4.69 and above, and megasized soups by v5.03 and above.
- ↑ 10.0 10.1 apgsearch estimates the lifespan of each soup before testing it more precisely, and is not guaranteed to detect all methuselahs with a lifespan of less than 26,000 generations.
- ↑ This number is higher than an exponential distribution would indicate because of Lidka.
- ↑ I.e. all symmetries except SS, "DankMemes" and any symmetry suffixed "_Test".
- ↑ This list excludes oversized patterns (ov_), unusual-growth patterns (zz_), and pathological patterns (PATHOLOGICAL); see Limitations.
- ↑ Not properly recognized by apgsearch < 4.0; see Limitations.
- ↑ As of August 2020, the synthesis submission box does not allow for linear growth syntheses to be submitted.[13] Instead, these must either be added directly to the Catagolue database or added via editing diffupdate.py.[14]
- ↑ The "Conchita" badge is named after Conchita Wurst, the Austrian singer who won the 2014 Eurovision Song Contest with the song "Rise Like a Phoenix".
- ↑ The "Hitchhiker" badge is a reference to The Hitchhiker's Guide to the Galaxy franchise.
- ↑ The "Hitchhiker" badge has not been awarded as of June 21, 2023.
- ↑ Sic; a deliberate reference to this post on MathOverflow and the comments it attracted.
- ↑ Ramanujan time, after the Hardy–Ramanujan number (1729) of G. H. Hardy's and Srinivasa Ramanujan's.
- ↑ Before August 2021, the maximum tabulation size was 1 MB after compression, imposed by Google Cloud Datastore; obscure objects would sometimes be deleted from these tabulations to meet this limit.[21] In December 2018, Catagolue switched to a new compression system, allowing certain period 2 oscillators to be manually readded to the D8_1 and D8_4 censuses without meeting the 1 MB limit.[22]
- ↑ D2_xo is simply an orthogonal reflection of the equivalent D2_x soup for the Moore neighbourhood, but functions as a distinct symmetry in hexagonal rules.
Endpoints
- ↑ https://catagolue.hatsya.com/census/<rule>/<symmetry>
- ↑ https://catagolue.hatsya.com/object/<apgcode>/<rule>
- ↑ https://catagolue.hatsya.com/attribute/<apgcode>/<rule>/<symmetry>
- ↑ https://catagolue.hatsya.com/abclist
- ↑ https://catagolue.hatsya.com/readsynth
- ↑ https://catagolue.hatsya.com/user/<user name>
- ↑ https://catagolue.hatsya.com/backupcron/<rule>/<symmetry>
- ↑ 8.0 8.1 https://catagolue.hatsya.com/census/<rule>/<symmetry>-<year>-<month>-<day>
- ↑ https://catagolue.hatsya.com/textcensus/<rule>/<symmetry>
- ↑ https://catagolue.hatsya.com/textcensus/<rule>/<symmetry>/sorted
- ↑ https://catagolue.hatsya.com/textcensus/<rule>/<symmetry>/<prefix>
- ↑ https://catagolue.hatsya.com/textcensus/<rule>/<symmetry>/objcount
- ↑ https://catagolue.hatsya.com/hashsoup/<symmetry>/<id>/<rule>
References
- ↑ Adam P. Goucher (February 20, 2015). "apgsearch 1.0". ConwayLife.com forums. Retrieved on June 23, 2016.
- ↑ Billabob (April 24, 2015). "Re: Soup search results". ConwayLife.com forums. Retrieved on June 23, 2016.
- ↑ Adam P. Goucher (September 2, 2015). "Re: Soup search results". ConwayLife.com forums. Retrieved on June 23, 2016.
- ↑ Apple Bottom (June 20, 2016). "Re: apgsearch v3.1". ConwayLife.com forums. Retrieved on June 23, 2016.
- ↑ Adam P. Goucher (June 28, 2016). "Statistics". Catagolue. Retrieved on June 28, 2016.
- ↑ Adam P. Goucher (April 8, 2020). Re: Catagolue Suggestions Thread (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher (July 18, 2019). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
- ↑ Maia Karpovich (November 12, 2016). "Re: Soup search results". ConwayLife.com forums. Retrieved on November 12, 2016.
- ↑ Adam P. Goucher (April 21, 2020). Re: Catagolue Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher (August 13, 2017). Re: Extending apgcodes to larger patterns (discussion thread) at the ConwayLife.com forums
- ↑ Hdjensofjfnen (February 18, 2019). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher (April 11, 2019). Re: Shinjuku: a database of glider syntheses (discussion thread) at the ConwayLife.com forums
- ↑ Dave Greene (August 21, 2019). Re: Shinjuku: a database of glider syntheses (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher (August 7, 2020). Re: One Glider Seeds (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher (June 17, 2021). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ Adam P. Goucher (June 18, 2021). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ Adam P. Goucher (August 4, 2017). Re: Hacking apgsearch (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher (January 29, 2017). "Re: Catagolue Oddities". ConwayLife.com forums. Retrieved on January 29, 2017.
- ↑ Adam P. Goucher (June 30, 2016). "Re: B3/S12-ae34ceit". ConwayLife.com forums. Retrieved on July 5, 2016.
- ↑ Adam P. Goucher (August 24, 2021). Re: Catagolue Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher (October 14, 2018). Re: Catagolue Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher (December 20, 2018). Re: Catagolue Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher (December 20, 2018). Re: apgsearch v4.0 (discussion thread) at the ConwayLife.com forums
External links
- Catagolue homepage
- Catagolue homepage (alternate; not blocked in mainland China)
- Source code for the Catagolue backend
- Catagolue Discussion Thread (discussion thread) at the ConwayLife.com forums
- Catagolue Oddities (discussion thread) at the ConwayLife.com forums
- Catagolue at the Life Lexicon
Results
- Soup search results (discussion thread) at the ConwayLife.com forums
- Soup search results in rules other than Conway's Life (discussion thread) at the ConwayLife.com forums
Client software
- apgsearch v5.0 (discussion thread) at the ConwayLife.com forums
- apgsearch v4.0 (discussion thread) at the ConwayLife.com forums
- apgsearch v3.1 (discussion thread) at the ConwayLife.com forums
- apgsearch v2.2 (discussion thread) at the ConwayLife.com forums
- apgsearch v1.0 (discussion thread) at the ConwayLife.com forums
- apgsearch: a high-performance soup searcher (discussion thread) at the ConwayLife.com forums (original discussion thread)
- Hacking apgsearch (discussion thread) at the ConwayLife.com forums
Unofficial browser extension
- Catagolue browser extension (discussion thread) at the ConwayLife.com forums
- Arie Paap (April 29, 2019). Re: Catagolue browser extension (discussion thread) at the ConwayLife.com forums (Firefox version)
Bots
- Catglue, a program for reporting discoveries and rare occurrences in Life censuses to the Conwaylife Lounge written by dani
- Unofficial Twitter bot operated by Ivan Fomichev (albeit has not been operational since 2018-10-27)
- Twitter bot (discussion thread) at the ConwayLife.com forums)
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