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ACORN - LIFEWIKI
Acorn is a methuselah found by Charles Corderman.It was discovered no later than 1971, though its exact year of discovery is unknown.Its maximum population, 1057, occurs in generation 4408. Also, it is composed of 2 or 3 sparks, depending on how the left side is lookedat.
LIST OF COMMON STILL LIFES List of common still lifes. This is a list of the most common still lifes in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of April 2020, of each still life is also displayed. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurringstill
PULSAR - LIFEWIKI
Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72) is a large but surprisingly common period-3 oscillator.It was found by John Conway in March 1970.. The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar).A closely related oscillator — the pulsar quadrant — includes LIST OF COMMON OSCILLATORS List of common oscillators. This is a list of the most common oscillators in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of May 2021, of each oscillator is also displayed. The approximate relative frequency column gives an estimate of the proportion of all randomly-occurringoscillators
POLYPLET - LIFEWIKISEE MORE ON CONWAYLIFE.COM GLIDER - LIFEWIKISEE MORE ON CONWAYLIFE.COM SPACESHIP - LIFEWIKISEE MORE ON CONWAYLIFE.COMDEAN HICKERSON
Dean Robert Hickerson is a mathematician and Life enthusiast who has made many major contributions to the Game of Life.. In 1989 Hickerson created the first oscillator search program with which he found many small, low-period oscillators, such as caterer, Monogram, and fumarole.He has since found many sparkers as well as billiard tables, including the first known period-17 oscillators. LIFEWIKI - CONWAY'S GAME OF LIFECONWAY'S GAME OF LIFEPERIOD The glider-producing switch engine (or glider-making switch engine) is a puffer that was found by Charles Corderman in the early 1970's. It consists of a switch engine reacting with blocks to produce various still lifes and a glider every 384 generations.It is the second most common naturally-occurring pattern that exhibits infinite growth, and is one of only two patterns that exhibits LIFEVIEWER - LIFEWIKISEE MORE ON CONWAYLIFE.COMACORN - LIFEWIKI
Acorn is a methuselah found by Charles Corderman.It was discovered no later than 1971, though its exact year of discovery is unknown.Its maximum population, 1057, occurs in generation 4408. Also, it is composed of 2 or 3 sparks, depending on how the left side is lookedat.
LIST OF COMMON STILL LIFES List of common still lifes. This is a list of the most common still lifes in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of April 2020, of each still life is also displayed. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurringstill
PULSAR - LIFEWIKI
Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72) is a large but surprisingly common period-3 oscillator.It was found by John Conway in March 1970.. The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar).A closely related oscillator — the pulsar quadrant — includes LIST OF COMMON OSCILLATORS List of common oscillators. This is a list of the most common oscillators in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of May 2021, of each oscillator is also displayed. The approximate relative frequency column gives an estimate of the proportion of all randomly-occurringoscillators
POLYPLET - LIFEWIKISEE MORE ON CONWAYLIFE.COM GLIDER - LIFEWIKISEE MORE ON CONWAYLIFE.COM SPACESHIP - LIFEWIKISEE MORE ON CONWAYLIFE.COMDEAN HICKERSON
Dean Robert Hickerson is a mathematician and Life enthusiast who has made many major contributions to the Game of Life.. In 1989 Hickerson created the first oscillator search program with which he found many small, low-period oscillators, such as caterer, Monogram, and fumarole.He has since found many sparkers as well as billiard tables, including the first known period-17 oscillators. LIFEWIKI - CONWAYLIFE.COM The glider-producing switch engine (or glider-making switch engine) is a puffer that was found by Charles Corderman in the early 1970's. It consists of a switch engine reacting with blocks to produce various still lifes and a glider every 384 generations.It is the second most common naturally-occurring pattern that exhibits infinite growth, and is one of only two patterns that exhibitsPULSAR - LIFEWIKI
Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72) is a large but surprisingly common period-3 oscillator.It was found by John Conway in March 1970.. The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar).A closely related oscillator — the pulsar quadrant — includes LIST OF COMMON OSCILLATORS List of common oscillators. This is a list of the most common oscillators in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of May 2021, of each oscillator is also displayed. The approximate relative frequency column gives an estimate of the proportion of all randomly-occurringoscillators
STILL LIFE - LIFEWIKI A still life (or stable pattern) is a pattern that does not change from one generation to the next, and thus may be thought of as an oscillator with period 1. Still lifes are sometimes assumed to be finite and non-empty. The two main subgroups of still lifes are strict still lifes and pseudo still lifes.In some contexts, the term "still life" may refer to stable objects rather than stableGLIDER - LIFEWIKI
For other meanings of the term 'glider', see Glider (disambiguation).. The glider (or featherweight spaceship) is the smallest, most common, and first-discovered spaceship.It travels diagonally across the Life grid at a speed of c/4.Gliders are important because they are easily produced (for an example see the Gosper glider gun), can be collided with each other to form more complicated POND - LIFEWIKI - CONWAYLIFE.COM The prepond is a common predecessor of the pond. The prepond turns into a pond in 32 Life-like rules, from B3/S23 to B378/S23678, but it dies out in HighLife.Consequently, the pond occurs more than twice as commonly in Game of Life than in HighLife.PUFFER - LIFEWIKI
Puffer. A puffer (or puffer train) is a pattern that moves like a spaceship, except that it leaves debris behind. The first known puffers were found by Bill Gosper and travelled at c/2 orthogonal (see puffer 1 for the very first one, found in 1971 ). Not long afterwards, c/12 diagonal puffers were found (see switch engine ).PINWHEEL - LIFEWIKI
Pentadecathlon ID. 35P4.10. Pinwheel (or Catherine wheel) is a period - 4 oscillator found by Simon Norton in April 1970. It is a billiard table configuration and possibly the LIST OF LONG-LIVED METHUSELAHS List of long-lived methuselahs. This is a list of notable methuselahs by lifespan in Conway's Game of Life. This list may change as new methuselahs are discovered. DIE HARD - LIFEWIKI - CONWAYLIFE.COM Die hard is a 7-cell methuselah (essentially a collision between a block and the traffic light sequence) that vanishes after 130 generations, which is conjectured to be the limit for vanishing patterns of 7 or fewer cells. Note that there is no limit for higher numbers of cells, as eight cells suffice to have a glider heading towards an arbitrarily distant blinker or pre-block.PULSAR - LIFEWIKI
Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72) is a large but surprisingly common period-3 oscillator.It was found by John Conway in March 1970.. The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar).A closely related oscillator — the pulsar quadrant — includes LIST OF COMMON OSCILLATORS List of common oscillators. This is a list of the most common oscillators in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of May 2021, of each oscillator is also displayed. The approximate relative frequency column gives an estimate of the proportion of all randomly-occurringoscillators
LIFEVIEWER - LIFEWIKISEE MORE ON CONWAYLIFE.COMACORN - LIFEWIKI
Acorn is a methuselah found by Charles Corderman.It was discovered no later than 1971, though its exact year of discovery is unknown.Its maximum population, 1057, occurs in generation 4408. Also, it is composed of 2 or 3 sparks, depending on how the left side is lookedat.
OTCA METAPIXEL
POLYPLET - LIFEWIKISEE MORE ON CONWAYLIFE.COMSHIP IN A BOTTLE
86P16.2. Ship in a bottle is a period - 16 oscillator found by Bill Gosper on August 7, 1994. SPACESHIP - LIFEWIKISEE MORE ON CONWAYLIFE.COMDEAN HICKERSON
Dean Robert Hickerson is a mathematician and Life enthusiast who has made many major contributions to the Game of Life.. In 1989 Hickerson created the first oscillator search program with which he found many small, low-period oscillators, such as caterer, Monogram, and fumarole.He has since found many sparkers as well as billiard tables, including the first known period-17 oscillators.PUFFER - LIFEWIKI
Puffer. A puffer (or puffer train) is a pattern that moves like a spaceship, except that it leaves debris behind. The first known puffers were found by Bill Gosper and travelled at c/2 orthogonal (see puffer 1 for the very first one, found in 1971 ). Not long afterwards, c/12 diagonal puffers were found (see switch engine ).PULSAR - LIFEWIKI
Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72) is a large but surprisingly common period-3 oscillator.It was found by John Conway in March 1970.. The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar).A closely related oscillator — the pulsar quadrant — includes LIST OF COMMON OSCILLATORS List of common oscillators. This is a list of the most common oscillators in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of May 2021, of each oscillator is also displayed. The approximate relative frequency column gives an estimate of the proportion of all randomly-occurringoscillators
LIFEVIEWER - LIFEWIKISEE MORE ON CONWAYLIFE.COMACORN - LIFEWIKI
Acorn is a methuselah found by Charles Corderman.It was discovered no later than 1971, though its exact year of discovery is unknown.Its maximum population, 1057, occurs in generation 4408. Also, it is composed of 2 or 3 sparks, depending on how the left side is lookedat.
OTCA METAPIXEL
POLYPLET - LIFEWIKISEE MORE ON CONWAYLIFE.COMSHIP IN A BOTTLE
86P16.2. Ship in a bottle is a period - 16 oscillator found by Bill Gosper on August 7, 1994. SPACESHIP - LIFEWIKISEE MORE ON CONWAYLIFE.COMDEAN HICKERSON
Dean Robert Hickerson is a mathematician and Life enthusiast who has made many major contributions to the Game of Life.. In 1989 Hickerson created the first oscillator search program with which he found many small, low-period oscillators, such as caterer, Monogram, and fumarole.He has since found many sparkers as well as billiard tables, including the first known period-17 oscillators.PUFFER - LIFEWIKI
Puffer. A puffer (or puffer train) is a pattern that moves like a spaceship, except that it leaves debris behind. The first known puffers were found by Bill Gosper and travelled at c/2 orthogonal (see puffer 1 for the very first one, found in 1971 ). Not long afterwards, c/12 diagonal puffers were found (see switch engine ). LIFEWIKI - CONWAYLIFE.COM The glider-producing switch engine (or glider-making switch engine) is a puffer that was found by Charles Corderman in the early 1970's. It consists of a switch engine reacting with blocks to produce various still lifes and a glider every 384 generations.It is the second most common naturally-occurring pattern that exhibits infinite growth, and is one of only two patterns that exhibits LIST OF COMMON OSCILLATORS List of common oscillators. This is a list of the most common oscillators in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of May 2021, of each oscillator is also displayed. The approximate relative frequency column gives an estimate of the proportion of all randomly-occurringoscillators
LIFELIB - LIFEWIKI - CONWAYLIFE.COM lifelib is a collection of header files for simulation and manipulation of patterns in cellular automata. Examples of programs heavily reliant on lifelib are apgluxe, slmake, Shinjuku and HoneySearch.. The code is written in C++11 and inline x86_64 assembly code, with a Python script for code generation.PINWHEEL - LIFEWIKI
Pentadecathlon ID. 35P4.10. Pinwheel (or Catherine wheel) is a period - 4 oscillator found by Simon Norton in April 1970. It is a billiard table configuration and possibly the REPLICATOR - LIFEWIKI Natural replicators. Replicators occur naturally in some cellular automata. Possibly the most well-known example in a Life-like cellular automaton is the simple replicator in HighLife (B36/S23), which repeatedly copies itself along a diagonal line every 12 generations according to a one-dimensional parity rule (Wolfram Rule 90).GOSPER GLIDER GUN
The Gosper glider gun is the first known gun, and indeed the first known finite pattern with unbounded growth, found by Bill Gosper in November 1970. It consists of two queen bee shuttles stabilized by two blocks.Its 36 cells remained the smallest size of any known gun until the discovery of the double-barreled Simkin glider gun in 2015 which overtook this record with only 29 cells.PUFFER - LIFEWIKI
Puffer. A puffer (or puffer train) is a pattern that moves like a spaceship, except that it leaves debris behind. The first known puffers were found by Bill Gosper and travelled at c/2 orthogonal (see puffer 1 for the very first one, found in 1971 ). Not long afterwards, c/12 diagonal puffers were found (see switch engine ). LIST OF LONG-LIVED METHUSELAHS List of long-lived methuselahs. This is a list of notable methuselahs by lifespan in Conway's Game of Life. This list may change as new methuselahs are discovered. DIE HARD - LIFEWIKI - CONWAYLIFE.COM Die hard is a 7-cell methuselah (essentially a collision between a block and the traffic light sequence) that vanishes after 130 generations, which is conjectured to be the limit for vanishing patterns of 7 or fewer cells. Note that there is no limit for higher numbers of cells, as eight cells suffice to have a glider heading towards an arbitrarily distant blinker or pre-block.SHIP IN A BOTTLE
86P16.2. Ship in a bottle is a period - 16 oscillator found by Bill Gosper on August 7, 1994. LIFEWIKI - CONWAY'S GAME OF LIFECONWAY'S GAME OF LIFEPERIOD Toad is a period-2 oscillator that was found by Simon Norton in May 1970.It is the second most common naturally-occurring oscillator, being less common than beacon, although blinkers occur more than a hundred times as frequently. It is also one of very few known oscillators that is a polyomino in one of its phases.Toads often appear in large, complex patterns because of their ability to eatPULSAR - LIFEWIKI
Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72) is a large but surprisingly common period-3 oscillator.It was found by John Conway in March 1970.. The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar).A closely related oscillator — the pulsar quadrant — includes LIST OF COMMON STILL LIFES List of common still lifes. This is a list of the most common still lifes in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of April 2020, of each still life is also displayed. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurringstill
ACORN - LIFEWIKI
Acorn is a methuselah found by Charles Corderman.It was discovered no later than 1971, though its exact year of discovery is unknown.Its maximum population, 1057, occurs in generation 4408. Also, it is composed of 2 or 3 sparks, depending on how the left side is lookedat.
60P5H2V0 - LIFEWIKI
60P5H2V0 is most well-known for being the first orthogonal spaceship that travels at a speed other than c/2 to be successfully constructed via glider synthesis (using 63 gliders). The glider synthesis was mostly due to Noam Elkies, with help from Mark Niemiec and JasonSummers, in
REPLICATOR - LIFEWIKISEE MORE ON CONWAYLIFE.COMOTCA METAPIXEL
BLINKER - LIFEWIKI
The blinker is the smallest and most common oscillator, found by John Conway in March 1970. It is one of only a handful of known oscillators that is a polyomino, and it is the only known finite oscillator that is one cell thick (although the pentadecathlon is "almost" one cell thick in that there is a one cell thick pattern that is a grandparent of it, and the infinite version of the worker LONG BARGE - LIFEWIKI - CONWAY'S GAME OF LIFESEE MORE ONCONWAYLIFE.COM
SHIP IN A BOTTLE
86P16.2. Ship in a bottle is a period - 16 oscillator found by Bill Gosper on August 7, 1994. LIFEWIKI - CONWAY'S GAME OF LIFECONWAY'S GAME OF LIFEPERIOD Toad is a period-2 oscillator that was found by Simon Norton in May 1970.It is the second most common naturally-occurring oscillator, being less common than beacon, although blinkers occur more than a hundred times as frequently. It is also one of very few known oscillators that is a polyomino in one of its phases.Toads often appear in large, complex patterns because of their ability to eatPULSAR - LIFEWIKI
Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72) is a large but surprisingly common period-3 oscillator.It was found by John Conway in March 1970.. The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar).A closely related oscillator — the pulsar quadrant — includes LIST OF COMMON STILL LIFES List of common still lifes. This is a list of the most common still lifes in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of April 2020, of each still life is also displayed. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurringstill
ACORN - LIFEWIKI
Acorn is a methuselah found by Charles Corderman.It was discovered no later than 1971, though its exact year of discovery is unknown.Its maximum population, 1057, occurs in generation 4408. Also, it is composed of 2 or 3 sparks, depending on how the left side is lookedat.
60P5H2V0 - LIFEWIKI
60P5H2V0 is most well-known for being the first orthogonal spaceship that travels at a speed other than c/2 to be successfully constructed via glider synthesis (using 63 gliders). The glider synthesis was mostly due to Noam Elkies, with help from Mark Niemiec and JasonSummers, in
REPLICATOR - LIFEWIKISEE MORE ON CONWAYLIFE.COMOTCA METAPIXEL
BLINKER - LIFEWIKI
The blinker is the smallest and most common oscillator, found by John Conway in March 1970. It is one of only a handful of known oscillators that is a polyomino, and it is the only known finite oscillator that is one cell thick (although the pentadecathlon is "almost" one cell thick in that there is a one cell thick pattern that is a grandparent of it, and the infinite version of the worker LONG BARGE - LIFEWIKI - CONWAY'S GAME OF LIFESEE MORE ONCONWAYLIFE.COM
SHIP IN A BOTTLE
86P16.2. Ship in a bottle is a period - 16 oscillator found by Bill Gosper on August 7, 1994. LIFEWIKI - CONWAY'S GAME OF LIFE Toad is a period-2 oscillator that was found by Simon Norton in May 1970.It is the second most common naturally-occurring oscillator, being less common than beacon, although blinkers occur more than a hundred times as frequently. It is also one of very few known oscillators that is a polyomino in one of its phases.Toads often appear in large, complex patterns because of their ability to eat LIST OF COMMON STILL LIFES List of common still lifes. This is a list of the most common still lifes in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of April 2020, of each still life is also displayed. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurringstill
LIFEVIEWER - LIFEWIKI LifeViewer is a browser-based scriptable pattern viewer and editor used to simulate Life and a wide range of other 1D and 2D cellular automata.. If you want to use LifeViewer on your own site then the latest release can be downloaded here. REPLICATOR - LIFEWIKI Natural replicators. Replicators occur naturally in some cellular automata. Possibly the most well-known example in a Life-like cellular automaton is the simple replicator in HighLife (B36/S23), which repeatedly copies itself along a diagonal line every 12 generations according to a one-dimensional parity rule (Wolfram Rule 90).OTCA METAPIXEL
The OTCA metapixel is a 2048 × 2048 period 35328 unit cell that was constructed by Brice Due between the autumn of 2005 and the spring of 2006.It has many advantages over the previous-known unit cells such as the p5760 unit Life cell and deep cell, including the ability to emulate any Life-like cellular automaton and the fact that, when zoomed out, the ON and OFF cells are easy toBLINKER - LIFEWIKI
The blinker is the smallest and most common oscillator, found by John Conway in March 1970. It is one of only a handful of known oscillators that is a polyomino, and it is the only known finite oscillator that is one cell thick (although the pentadecathlon is "almost" one cell thick in that there is a one cell thick pattern that is a grandparent of it, and the infinite version of the workerPUFFER - LIFEWIKI
Puffer. A puffer (or puffer train) is a pattern that moves like a spaceship, except that it leaves debris behind. The first known puffers were found by Bill Gosper and travelled at c/2 orthogonal (see puffer 1 for the very first one, found in 1971 ). Not long afterwards, c/12 diagonal puffers were found (see switch engine ).PINWHEEL - LIFEWIKI
Pentadecathlon ID. 35P4.10. Pinwheel (or Catherine wheel) is a period - 4 oscillator found by Simon Norton in April 1970. It is a billiard table configuration and possibly the0E0P METACELL
The 0E0P metacell is a unit cell constructed by Adam P. Goucher between 2014 and 2018. Like Goucher's previous p1 megacell, it is capable of simulating any rule using the standard eight cell neighborhood, including non-totalistic rules.. The new feature of the 0E0P metacell, and the one that explains its record-breaking large size, is the fact that a group of these metacells can be placed inPI-HEPTOMINO
Pi-heptomino (or pi; sometimes called blasting cap at MIT after its shape at generation 1) is a common heptomino that stabilizes at generation 173, leaving behind six blocks, five blinkers and two ponds.The name "pi" is also applied to some slight variations of this object that follow that same evolutionary sequence – in a pi ship, for example, the pi-heptomino itself never actually arises. LIFEWIKI - CONWAY'S GAME OF LIFECONWAY'S GAME OF LIFEPERIOD Toad is a period-2 oscillator that was found by Simon Norton in May 1970.It is the second most common naturally-occurring oscillator, being less common than beacon, although blinkers occur more than a hundred times as frequently. It is also one of very few known oscillators that is a polyomino in one of its phases.Toads often appear in large, complex patterns because of their ability to eatPULSAR - LIFEWIKI
Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72) is a large but surprisingly common period-3 oscillator.It was found by John Conway in March 1970.. The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar).A closely related oscillator — the pulsar quadrant — includes LIST OF COMMON STILL LIFES List of common still lifes. This is a list of the most common still lifes in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of April 2020, of each still life is also displayed. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurringstill
ACORN - LIFEWIKI
Acorn is a methuselah found by Charles Corderman.It was discovered no later than 1971, though its exact year of discovery is unknown.Its maximum population, 1057, occurs in generation 4408. Also, it is composed of 2 or 3 sparks, depending on how the left side is lookedat.
60P5H2V0 - LIFEWIKI
60P5H2V0 is most well-known for being the first orthogonal spaceship that travels at a speed other than c/2 to be successfully constructed via glider synthesis (using 63 gliders). The glider synthesis was mostly due to Noam Elkies, with help from Mark Niemiec and JasonSummers, in
REPLICATOR - LIFEWIKISEE MORE ON CONWAYLIFE.COMOTCA METAPIXEL
BLINKER - LIFEWIKI
The blinker is the smallest and most common oscillator, found by John Conway in March 1970. It is one of only a handful of known oscillators that is a polyomino, and it is the only known finite oscillator that is one cell thick (although the pentadecathlon is "almost" one cell thick in that there is a one cell thick pattern that is a grandparent of it, and the infinite version of the worker LONG BARGE - LIFEWIKI - CONWAY'S GAME OF LIFESEE MORE ONCONWAYLIFE.COM
SHIP IN A BOTTLE
86P16.2. Ship in a bottle is a period - 16 oscillator found by Bill Gosper on August 7, 1994. LIFEWIKI - CONWAY'S GAME OF LIFECONWAY'S GAME OF LIFEPERIOD Toad is a period-2 oscillator that was found by Simon Norton in May 1970.It is the second most common naturally-occurring oscillator, being less common than beacon, although blinkers occur more than a hundred times as frequently. It is also one of very few known oscillators that is a polyomino in one of its phases.Toads often appear in large, complex patterns because of their ability to eatPULSAR - LIFEWIKI
Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72) is a large but surprisingly common period-3 oscillator.It was found by John Conway in March 1970.. The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar).A closely related oscillator — the pulsar quadrant — includes LIST OF COMMON STILL LIFES List of common still lifes. This is a list of the most common still lifes in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of April 2020, of each still life is also displayed. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurringstill
ACORN - LIFEWIKI
Acorn is a methuselah found by Charles Corderman.It was discovered no later than 1971, though its exact year of discovery is unknown.Its maximum population, 1057, occurs in generation 4408. Also, it is composed of 2 or 3 sparks, depending on how the left side is lookedat.
60P5H2V0 - LIFEWIKI
60P5H2V0 is most well-known for being the first orthogonal spaceship that travels at a speed other than c/2 to be successfully constructed via glider synthesis (using 63 gliders). The glider synthesis was mostly due to Noam Elkies, with help from Mark Niemiec and JasonSummers, in
REPLICATOR - LIFEWIKISEE MORE ON CONWAYLIFE.COMOTCA METAPIXEL
BLINKER - LIFEWIKI
The blinker is the smallest and most common oscillator, found by John Conway in March 1970. It is one of only a handful of known oscillators that is a polyomino, and it is the only known finite oscillator that is one cell thick (although the pentadecathlon is "almost" one cell thick in that there is a one cell thick pattern that is a grandparent of it, and the infinite version of the worker LONG BARGE - LIFEWIKI - CONWAY'S GAME OF LIFESEE MORE ONCONWAYLIFE.COM
SHIP IN A BOTTLE
86P16.2. Ship in a bottle is a period - 16 oscillator found by Bill Gosper on August 7, 1994. LIFEWIKI - CONWAY'S GAME OF LIFE Toad is a period-2 oscillator that was found by Simon Norton in May 1970.It is the second most common naturally-occurring oscillator, being less common than beacon, although blinkers occur more than a hundred times as frequently. It is also one of very few known oscillators that is a polyomino in one of its phases.Toads often appear in large, complex patterns because of their ability to eat LIST OF COMMON STILL LIFES List of common still lifes. This is a list of the most common still lifes in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of April 2020, of each still life is also displayed. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurringstill
LIFEVIEWER - LIFEWIKI LifeViewer is a browser-based scriptable pattern viewer and editor used to simulate Life and a wide range of other 1D and 2D cellular automata.. If you want to use LifeViewer on your own site then the latest release can be downloaded here. REPLICATOR - LIFEWIKI Natural replicators. Replicators occur naturally in some cellular automata. Possibly the most well-known example in a Life-like cellular automaton is the simple replicator in HighLife (B36/S23), which repeatedly copies itself along a diagonal line every 12 generations according to a one-dimensional parity rule (Wolfram Rule 90).OTCA METAPIXEL
The OTCA metapixel is a 2048 × 2048 period 35328 unit cell that was constructed by Brice Due between the autumn of 2005 and the spring of 2006.It has many advantages over the previous-known unit cells such as the p5760 unit Life cell and deep cell, including the ability to emulate any Life-like cellular automaton and the fact that, when zoomed out, the ON and OFF cells are easy toBLINKER - LIFEWIKI
The blinker is the smallest and most common oscillator, found by John Conway in March 1970. It is one of only a handful of known oscillators that is a polyomino, and it is the only known finite oscillator that is one cell thick (although the pentadecathlon is "almost" one cell thick in that there is a one cell thick pattern that is a grandparent of it, and the infinite version of the workerPUFFER - LIFEWIKI
Puffer. A puffer (or puffer train) is a pattern that moves like a spaceship, except that it leaves debris behind. The first known puffers were found by Bill Gosper and travelled at c/2 orthogonal (see puffer 1 for the very first one, found in 1971 ). Not long afterwards, c/12 diagonal puffers were found (see switch engine ).PINWHEEL - LIFEWIKI
Pentadecathlon ID. 35P4.10. Pinwheel (or Catherine wheel) is a period - 4 oscillator found by Simon Norton in April 1970. It is a billiard table configuration and possibly the0E0P METACELL
The 0E0P metacell is a unit cell constructed by Adam P. Goucher between 2014 and 2018. Like Goucher's previous p1 megacell, it is capable of simulating any rule using the standard eight cell neighborhood, including non-totalistic rules.. The new feature of the 0E0P metacell, and the one that explains its record-breaking large size, is the fact that a group of these metacells can be placed inPI-HEPTOMINO
Pi-heptomino (or pi; sometimes called blasting cap at MIT after its shape at generation 1) is a common heptomino that stabilizes at generation 173, leaving behind six blocks, five blinkers and two ponds.The name "pi" is also applied to some slight variations of this object that follow that same evolutionary sequence – in a pi ship, for example, the pi-heptomino itself never actually arises. LIFEWIKI - CONWAY'S GAME OF LIFECONWAY'S GAME OF LIFEPERIOD Toad is a period-2 oscillator that was found by Simon Norton in May 1970.It is the second most common naturally-occurring oscillator, being less common than beacon, although blinkers occur more than a hundred times as frequently. It is also one of very few known oscillators that is a polyomino in one of its phases.Toads often appear in large, complex patterns because of their ability to eatPULSAR - LIFEWIKI
Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72) is a large but surprisingly common period-3 oscillator.It was found by John Conway in March 1970.. The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar).A closely related oscillator — the pulsar quadrant — includes LIST OF COMMON STILL LIFES List of common still lifes. This is a list of the most common still lifes in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of April 2020, of each still life is also displayed. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurringstill
ACORN - LIFEWIKI
Acorn is a methuselah found by Charles Corderman.It was discovered no later than 1971, though its exact year of discovery is unknown.Its maximum population, 1057, occurs in generation 4408. Also, it is composed of 2 or 3 sparks, depending on how the left side is lookedat.
60P5H2V0 - LIFEWIKI
60P5H2V0 is most well-known for being the first orthogonal spaceship that travels at a speed other than c/2 to be successfully constructed via glider synthesis (using 63 gliders). The glider synthesis was mostly due to Noam Elkies, with help from Mark Niemiec and JasonSummers, in
REPLICATOR - LIFEWIKISEE MORE ON CONWAYLIFE.COMOTCA METAPIXEL
BLINKER - LIFEWIKI
The blinker is the smallest and most common oscillator, found by John Conway in March 1970. It is one of only a handful of known oscillators that is a polyomino, and it is the only known finite oscillator that is one cell thick (although the pentadecathlon is "almost" one cell thick in that there is a one cell thick pattern that is a grandparent of it, and the infinite version of the worker LONG BARGE - LIFEWIKI - CONWAY'S GAME OF LIFESEE MORE ONCONWAYLIFE.COM
SHIP IN A BOTTLE
86P16.2. Ship in a bottle is a period - 16 oscillator found by Bill Gosper on August 7, 1994. LIFEWIKI - CONWAY'S GAME OF LIFECONWAY'S GAME OF LIFEPERIOD Toad is a period-2 oscillator that was found by Simon Norton in May 1970.It is the second most common naturally-occurring oscillator, being less common than beacon, although blinkers occur more than a hundred times as frequently. It is also one of very few known oscillators that is a polyomino in one of its phases.Toads often appear in large, complex patterns because of their ability to eatPULSAR - LIFEWIKI
Pulsar (rarely referred to as Cambridge pulsar CP 48-56-72) is a large but surprisingly common period-3 oscillator.It was found by John Conway in March 1970.. The rotor of a pulsar consists of four mutually stabilizing quadrants; alternate arrangements exist for any odd multiple of 4 (for the version with 12 copies, see quasar).A closely related oscillator — the pulsar quadrant — includes LIST OF COMMON STILL LIFES List of common still lifes. This is a list of the most common still lifes in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of April 2020, of each still life is also displayed. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurringstill
ACORN - LIFEWIKI
Acorn is a methuselah found by Charles Corderman.It was discovered no later than 1971, though its exact year of discovery is unknown.Its maximum population, 1057, occurs in generation 4408. Also, it is composed of 2 or 3 sparks, depending on how the left side is lookedat.
60P5H2V0 - LIFEWIKI
60P5H2V0 is most well-known for being the first orthogonal spaceship that travels at a speed other than c/2 to be successfully constructed via glider synthesis (using 63 gliders). The glider synthesis was mostly due to Noam Elkies, with help from Mark Niemiec and JasonSummers, in
REPLICATOR - LIFEWIKISEE MORE ON CONWAYLIFE.COMOTCA METAPIXEL
BLINKER - LIFEWIKI
The blinker is the smallest and most common oscillator, found by John Conway in March 1970. It is one of only a handful of known oscillators that is a polyomino, and it is the only known finite oscillator that is one cell thick (although the pentadecathlon is "almost" one cell thick in that there is a one cell thick pattern that is a grandparent of it, and the infinite version of the worker LONG BARGE - LIFEWIKI - CONWAY'S GAME OF LIFESEE MORE ONCONWAYLIFE.COM
SHIP IN A BOTTLE
86P16.2. Ship in a bottle is a period - 16 oscillator found by Bill Gosper on August 7, 1994. LIFEWIKI - CONWAY'S GAME OF LIFE Toad is a period-2 oscillator that was found by Simon Norton in May 1970.It is the second most common naturally-occurring oscillator, being less common than beacon, although blinkers occur more than a hundred times as frequently. It is also one of very few known oscillators that is a polyomino in one of its phases.Toads often appear in large, complex patterns because of their ability to eat LIST OF COMMON STILL LIFES List of common still lifes. This is a list of the most common still lifes in the Game of Life, specifically Catagolue 's B3/S23/ C1 census. The minimum known glider synthesis, as of April 2020, of each still life is also displayed. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurringstill
LIFEVIEWER - LIFEWIKI LifeViewer is a browser-based scriptable pattern viewer and editor used to simulate Life and a wide range of other 1D and 2D cellular automata.. If you want to use LifeViewer on your own site then the latest release can be downloaded here. REPLICATOR - LIFEWIKI Natural replicators. Replicators occur naturally in some cellular automata. Possibly the most well-known example in a Life-like cellular automaton is the simple replicator in HighLife (B36/S23), which repeatedly copies itself along a diagonal line every 12 generations according to a one-dimensional parity rule (Wolfram Rule 90).OTCA METAPIXEL
The OTCA metapixel is a 2048 × 2048 period 35328 unit cell that was constructed by Brice Due between the autumn of 2005 and the spring of 2006.It has many advantages over the previous-known unit cells such as the p5760 unit Life cell and deep cell, including the ability to emulate any Life-like cellular automaton and the fact that, when zoomed out, the ON and OFF cells are easy toBLINKER - LIFEWIKI
The blinker is the smallest and most common oscillator, found by John Conway in March 1970. It is one of only a handful of known oscillators that is a polyomino, and it is the only known finite oscillator that is one cell thick (although the pentadecathlon is "almost" one cell thick in that there is a one cell thick pattern that is a grandparent of it, and the infinite version of the workerPUFFER - LIFEWIKI
Puffer. A puffer (or puffer train) is a pattern that moves like a spaceship, except that it leaves debris behind. The first known puffers were found by Bill Gosper and travelled at c/2 orthogonal (see puffer 1 for the very first one, found in 1971 ). Not long afterwards, c/12 diagonal puffers were found (see switch engine ).PINWHEEL - LIFEWIKI
Pentadecathlon ID. 35P4.10. Pinwheel (or Catherine wheel) is a period - 4 oscillator found by Simon Norton in April 1970. It is a billiard table configuration and possibly the0E0P METACELL
The 0E0P metacell is a unit cell constructed by Adam P. Goucher between 2014 and 2018. Like Goucher's previous p1 megacell, it is capable of simulating any rule using the standard eight cell neighborhood, including non-totalistic rules.. The new feature of the 0E0P metacell, and the one that explains its record-breaking large size, is the fact that a group of these metacells can be placed inPI-HEPTOMINO
Pi-heptomino (or pi; sometimes called blasting cap at MIT after its shape at generation 1) is a common heptomino that stabilizes at generation 173, leaving behind six blocks, five blinkers and two ponds.The name "pi" is also applied to some slight variations of this object that follow that same evolutionary sequence – in a pi ship, for example, the pi-heptomino itself never actually arises. HOME • LifeWiki • Forums • Download GollyLifeWiki
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Less Than Two Gliders Per Cell, For All Constructible Still Lifes from b3s23life.blogspot.comJuly
11th, 2019
On 19 June 2019 a surprising milestone was reached. Goldtiger997 made a final improvement to a 17-bit still-life synthesis -- IDxs17_03p6413z39c
-- to bring the cost down to 33 gliders. (It's since been reduced further, to 29 gliders, and eventually down to only 9 gliders as part of the long-running "17-in-16" project.)
This made it possible to announce a surprising result: there's a strict upper bound for the cost in gliders for any strict still life,
assuming it can be constructed by colliding gliders at all. If a glider-constructible still life contains N ON cells, then it can be constructed with less than 2N gliders.
A MIX OF THEORY AND PRACTICE For still lifes larger than 17 bits, this result is supplied by the strange and wonderful RCT method.
The RCT (reverse caber tosser) is a pattern that
is constructible with only 35 gliders, that reads the very faraway position of an approaching object to produce a stream of bits, which are then interpreted as a construction recipe fed to a universalconstruction arm .
Cleanup of the RCT's mechanism would also have to be done to produce a full synthesis, which makes it tricky to create these 35-glider recipes in practice; no working examples have yet been completed. Read the whole story at b3s23life.blogspot.com New Tools for Self-Construction from b3s23life.blogspot.comNovember
11th, 2018Time for a new post on self-constructing circuitry! I've been updating the same old post since 2014, but I think there's now some news that warrants a newarticle.
SELF-CONSTRUCTION JUST GOT A LOT EASIER For the last several years Adam P. Goucher has been incrementally working out the construction details for a "0E0P metacell". A metacell is a piece of Life circuitry that simulates the behavior of a single cell in Life, or in many cases some other CA rule, depending on how it's programmed. "0E0P" is short for " zero equals zero population", meaning that no support circuitry is needed: when one of these 0E0P metacells turns off, it self-destructs completely! This means that when the metacell needs to turn back on again, it must be re-constructed from the ground up by its neighbors. One of the important effects of this design is that metacell patterns run at a sufficiently high step size, when viewed from very far away (e.g., at a size where an entire metacell takes up a single pixel in the display) will be indistinguishable from normal patterns that use the same rule -- except that the metacell patterns will run 2^36 times more slowly, of course. Read the whole story at b3s23life.blogspot.com Fixed Cost Glider Construction, Part II from b3s23life.blogspot.comJune
16th, 2018
DESIGN SUMMARY FOR FIXED-COST GLIDER CONSTRUCTION_The previous post
summarized the new 329-glider reverse caber tosser universal constructor design, but didn't go into detail about what exactly makes the design universal. Here are (most of) the fiddly details, some of which are already out of date now that a universal construction method has been found with as few as 35 gliders. See this conwaylife.comforum posting
for a
high-level walkthrough of how the 35-glider recipe might work._ The "reverse caber tosser" idea, with two gliders reflected back 180 degrees by a Cordership (or Corderpuffer, anyway) still remains intact -- and so does the three-glider PUSH/DFIRE salvo and the idea of using a block-laying switch engine as a source of elbow blocks. However, all of the PUSH/DFIRE salvos are now produced by glider-producing switch engines. These various switch engines are almost the only things that need to be constructed. In the 50-glider UC model, no stationary circuitry is needed at all. The 35-glider model needs a single block as a catalyst, to cleanly generate a return glider to retrieve the next bit from the approaching Corderpuffer. The idea of a fixed-cost glider recipe for any possible glider-constructible object has gone through several iterations in the past few years. The first completed construction was a decoder that used a double sliding-block memory,
and repeatedly divided the stored number by two or three, returning the remainder for each cycle. That information could then be used to run a construction arm. However, an explicit construction arm was never created for that design. Read the whole story at b3s23life.blogspot.com The Answer to Life's Ultimate Question is 42 -- But the Cost of Living is Capped at 329...59...58...50...44... 43... 35 from b3s23life.blogspot.comJune
13th, 2018
Code: Select all
#C universal constructor based on reverse caber tosser #C Completed 10 June 2018 #C Original design by Adam P. Goucher #C Original glider synthesis by Goldtiger997 x = 5379, y = 5173, rule = B3/S23 bo$2bo361bo$3o360bo$363b3o16$36bo$34bobo$35b2o$355bo$354bo$354b3o14$ 29bo$30bo$28b3o2$335bo$335bobo$335b2o37$92bobo$93b2o$93bo2$356bo$72bo 283bobo$73b2o281b2o$72b2o2$337bo$336bo$336b3o891$1177bo$1178b2o$1177b 2o197$2925bo3b2o2bo$2925b2o3bo2bo$2926bo3bobo$2925bo5bo2$2926b2o$2925b o2bo$2925bobo$2926bo65$1275bo$1276bo$1274b3o6$1265bo$1266b2o$1265b2o 15$1278bo$1279b2o$1278b2o$1291bo$1289bobo$1290b2o6$1287bobo$1277bobo8b 2o$1278b2o8bo$1278bo295$4459bo$4458bo$4458b3o$1848bo$1849bo$1847b3o14b o$1865b2o$1864b2o$1717bo$1718b2o$1717b2o2$1865bobo2600bobo$1866b2o 2600b2o$1725bo140bo2602bo$1726bo$1724b3o11$1732bobo$1733b2o$1733bo13$ 1749bo$1750b2o$1749b2o2$1761bobo$1762b2o$1762bo16$1765bobo$1766b2o$ 1766bo4$1774bo$1772bobo$1773b2o23$1854bo$1855bo$1853b3o6$1794bo$1795b 2o$1794b2o32$1838bo$1839bo$1837b3o2$1851bo$1849bobo$1850b2o138$4513bob o$4513b2o$4514bo4$4506bo$4506bobo$4506b2o38$1876bo2193bo$1874bobo2192b 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bo$1844bo4$1836b2o$1835bobo$1837bo$1825b3o$1827bo$1826bo$4428b3o$4428b o$4429bo5$1840b3o$1842bo$1841bo$4443b3o$4443bo$4444bo25$2711b2o218b3o$ 2712b2o217b3o$2711bo218bo2$2933b2o1833b2o$2926b3o3bo1835bobo$2925bob2o 4b2o1833bo$2925bo6bo$2926bobobo$1903b2o$1904b2o$1903bo2$4362b2o$4362bo bo$4362bo5$1940b2o$1939bobo$1941bo7$1935b2o$1934bobo$1936bo$1920b2o$ 1921b2o$1920bo2489b2o$4409b2o$4411bo385bo$4796b2o$4796bobo6$1917b3o$ 1919bo$1911b2o5bo$1910bobo$1912bo$4403bo$4402b2o$4402bobo6$4408b3o125b 2o$4408bo127bobo$4409bo126bo47$2641b2o$2640bobo$2642bo29$1359b3o$1361b o$1360bo11$4614b2o$4614bobo$4614bo49$1295b3o$1297bo$1296bo3$1270b2o$ 1271b2o$1270bo$1283b3o$1285bo$1284bo4$1288b2o$1287bobo$1289bo$1262b2o$ 1261bobo$1263bo4$1255bo$1255b2o$1254bobo289$5377b2o$5376b2o$5378bo!#C
#C
#C
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#C There has been speculation for at least acouple of years
**
about the simplest possible form of universal constructor, where an arbitrarily complex construction recipe is encoded in the position of a single faraway object. The position of the object is measured by the simplest possible decoder mechanism, resulting in a series of bits that can then be interpreted to produce a slow salvo.
It has already been shown that slow salvos can construct any pattern that is constructible by gliders. So with the correct placement of the faraway object, the complete pattern is capable of building any possible glider-constructible pattern of any size. The same pattern is also capable of building a self-destruct mechanism that completely removes all trace of the universal constructor, after its work is done -- leaving only the constructed pattern and nothing else. A counterintuitive consequence is that any glider-constructible object, no matter what size, can be built with a specific fixed number ofgliders.
And now the actual number has been calculated, and it's surprisingly small. The initial upper limit was 329 gliders, based on the pattern shown above. This has since been reduced to only 59 and then 58 gliders, with a proposal to simplify further and bring the total downto 43.
See the follow-up article for a full summary of the tasks that the universal constructor has to accomplish to be enable the 329-glider recipe to to construct any arbitrary pattern. The plans for the 58-, 43-, and 35-glider recipes are similar, but greatly simplified by the fact that the streams of gliders can all be generated by faraway glider-producing switch engines instead of local glider guns and reflectors. With the 58-glider recipe, no stationary circuitry is needed at all; a single block is needed as a catalyst in the 43- and 35-glider recipes. ** It seems likely that someone came up with this idea long before 2015 -- i.e., the inevitability of a fixed-cost construction with N gliders, for any possible glider-constructible object. Really it's more or less implied by the sliding-block memory units described in Winning Ways. But I don't know of anywhere that the fixed upper-limit cost of construction was mentioned explicitly. It would be interesting to see what early estimates of that upper limit might have been... it seems likely they were significantly higher than three digits, let alone two! Read the whole story at b3s23life.blogspot.com It Happened One Knight from b3s23life.blogspot.comMarch
10th, 2018
On 6 March 2018 the first member of a new class of Conway's Life spaceships was discovered. This is Sir Robin, the first elementary spaceship that travels in an oblique direction. Its displacement is two cells horizontally and one cell vertically (or vice versa) every six generations, which is the fastest possible knightship speed. The name is a reference to Monty Python's "Brave Sir Robin", who bravely runs away as fast as possible.Code: Select all
#C (2,1)c/6 knightship found by Adam P. Goucher, #C based on a front end originally found by Josh Ball, #C rediscovered and extended by Tomas Rokicki, #C using a SAT solver-based search x = 79, y = 31, rule = B3/S23 8bo$6bo2bo$4b2obo3bo$4bo2bo3bo$3o2bobo$o4bobobo$3bo2bo3bo$bobo6bo$2b2o 6bo2$4b2ob2o4bob4o11bo$4b2ob2ob2ob3o2b2obob2o4bobo$4b2o4bo3bobobo6b2o$ 4b3o5bo4bobo6bob2o2b2o$6bo7bo5bo5bob3obo$6b2o2bobob4ob2o3bo3b2o2b2o$ 11b2obobo10bo3b3o22bo$17bo2bo6bob3obo24bo$13b3o5bo3bo2bo3b2o9bo8b3o3bo $18b4o3bo5bo2bo4bob2obo5b3o5bo$21bo3bo5bo3b2o2b2o3b2o3b2ob2obobo$23bob o5bo4b2obo5bob2obo2bo2b2o6bobo$24b2o11bo2bo4b2obobob2o2b2o5b2o2bo2b2o$ 32b2obobo3b2o2b2o3bob2o2b2o5b2o2bo2b3o$32b2obobo4bobo3bo2b3o2bob2obo3b 2obob4o3bo$37b2o4bo13bo4bo2b3o5b3obo$38bobo4bo11bobo2bo3bob2o4bo3bo$ 41bobo2bo14b2o6bo3bo$39b2o2b2o15b2o3b3o4b2o$43b3o18bo3bob3o$65b2obo3bo!#C
The new knightship was found by Adam P. Goucher based on initial results by Tom Rokicki, after about a month of automated searching. The program that completed the knightship was icpx, a
"multithreaded hybrid of LLS and gfind".
A detailed summary of the discovery process is now available.
Read the whole story at b3s23life.blogspot.com An honor just to be nominated from mathematrec.wordpress.comJune
4th, 2017
Rich’s p16
came in at
11th place in the 2016 Pattern of the Year awards. First place was never even a remote possibility, not in a year that produced the Caterloopillarand the Copperhead
. (I actually thought the latter would win handily, but I guess that’s just my relative lack of interest in engineered spaceships showing.) Read the whole story at mathematrec.wordpress.com 14-, 15-, and 16-bit still life syntheses from b3s23life.blogspot.comOctober
15th, 2016
A week or so ago,
a better recipe was found for the last still life on Mark Niemiec's list of expensive 14-bit syntheses. Now all 14-bit still lifes can be constructed with less than 14 gliders -- less than 1 glider per bit, as the old saying goes. Catagolue results continue to be very useful in finding new recipes.Code: Select all
#C 12-glider synthesis for the last 14-bit still life, #C snake bridge snake / 12.105, which had previously cost at least #C one glider per bit. #C Goldtiger997, 6 October 2016, optimized by Mark Niemiec on 7October.
x = 79, y = 71, rule = LifeHistory 7.A$.A6.A$2.A3.3A$3A2$16.A$14.A.A$15.2A6$36.A$34.A.A$35.2A8$30.3A$32. A$31.A4$31.3A$33.A11.2D.D$32.A12.D.2D$43.2D$39.2D.D$39.D.2D6$52.A$51. 2A$20.2A5.3A21.A.A$21.2A6.A$20.A7.A22$3.3A$5.A70.2A$4.A4.2A65.A.A$10.2A64.A$9.A!
#C
UPDATE: The next challenge along these lines was to similarly reduce 15-bit still life costs to below 1 glider per bit. The process started later in the same forum thread,
and was completed on November 19, 2016,
with the following 14-glider synthesis: Read the whole story at b3s23life.blogspot.com Changing the rules (part 3) from mathematrec.wordpress.comSeptember
8th, 2016
Take a look at a pre-loaf and api:
If you run them in B37c/S23, the pre-loaf stabilizes quickly, but the pi takes a while — and some space. It needs 110 generations tosettle down.
If you run them in B37e/S23, though, the pre-loaf just becomes a loaf immediately and the pi stabilizes much more quickly, in only 23 generations, and without spreading out so much. Read the whole story at mathematrec.wordpress.com Changing the rules (part 2a) from mathematrec.wordpress.comSeptember
4th, 2016
That lame explanation seems even more lame when you consider this: The non totalistic rule B37c/S23 (meaning birth occurs if there are 3 live neighbors, or if there are 7 live neighbors with the dead neighbor in the corner of the neighborhood) is explosive, but B37e/S23 (birth occurs if there are 3 live neighbors, or if there are 7 live neighbors with the dead neighbor on the edge of the neighborhood)isn’t.
Read the whole story at mathematrec.wordpress.com Changing the rules (part 2) from mathematrec.wordpress.comSeptember
4th, 2016
Here’s an even more perplexing (to me, at least) instance of different CA behavior under similar-but-different rules. Considerthis 32 x 32 soup:
B36/S23 is a Life-like rule sometimes called HighLife. Many objects behave the same way as in Life; in particular, blocks, loaves, boats, and beehives are still lifes; blinkers are p2 oscillators; gliders are c/4 diagonal spaceships. So after 378 generations in B36/S23 when that soup looks like this, it’s stabilized: B38/S23 has no nickname I know of. Under that rule, the same soup stabilizes in 483 generations: And in B37/S23… here’s what it evolves to after 10,000generations:
Population
17,298 and growing, presumably forever. Fairly typical. I’ve seen some soups take several thousand generations to stabilize in B38/S23, and I’ve seen a few — _very_ few — stabilize in B37/S23. But most soups stabilize in 1000 generations or so in B36/S23 and B38/S23… and almost all soupsexplode in B37/S23.
Does that make any sense to you? Explain it to me, then. Read the whole story at mathematrec.wordpress.com Website created and maintained by Nathaniel Johnston. Privacy policy
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